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Sandbox Circle of text characters [FINALIZED]

posted 2y ago by trichoplax‭  ·  edited 2y ago by trichoplax‭

Article code-golf string finalized
#15: Post edited by user avatar trichoplax‭ · 2022-10-28T14:23:32Z (about 2 years ago)
Mark as finalized
  • Circle of text characters
  • Circle of text characters [FINALIZED]
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R (strictly greater than zero)
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square grid of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • Here `.` represents the background and `#` represents the foreground.
  • Using these characters, the rules are equivalent to:
  • - Every `.` must be included in the background
  • - Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • The potential character placements for radius 1 to 10:
  • ```text
  • R = 1
  • ###
  • #.#
  • ###
  • R = 2
  • #####
  • ##.##
  • #...#
  • ##.##
  • #####
  • R = 3
  • .#####.
  • ###.###
  • ##...##
  • #.....#
  • ##...##
  • ###.###
  • .#####.
  • R = 4
  • ..#####..
  • .###.###.
  • ##.....##
  • ##.....##
  • #.......#
  • ##.....##
  • ##.....##
  • .###.###.
  • ..#####..
  • R = 5
  • ..#######..
  • .####.####.
  • ###.....###
  • ##.......##
  • ##.......##
  • #.........#
  • ##.......##
  • ##.......##
  • ###.....###
  • .####.####.
  • ..#######..
  • R = 6
  • ...#######...
  • ..####.####..
  • .##.......##.
  • ##.........##
  • ##.........##
  • ##.........##
  • #...........#
  • ##.........##
  • ##.........##
  • ##.........##
  • .##.......##.
  • ..####.####..
  • ...#######...
  • R = 7
  • ....#######....
  • ..#####.#####..
  • .###.......###.
  • .##.........##.
  • ##...........##
  • ##...........##
  • ##...........##
  • #.............#
  • ##...........##
  • ##...........##
  • ##...........##
  • .##.........##.
  • .###.......###.
  • ..#####.#####..
  • ....#######....
  • R = 8
  • ....#########....
  • ...#####.#####...
  • ..###.......###..
  • .###.........###.
  • ###...........###
  • ##.............##
  • ##.............##
  • ##.............##
  • #...............#
  • ##.............##
  • ##.............##
  • ##.............##
  • ###...........###
  • .###.........###.
  • ..###.......###..
  • ...#####.#####...
  • ....#########....
  • R = 9
  • .....#########.....
  • ....#####.#####....
  • ..####.......####..
  • ..##...........##..
  • .##.............##.
  • ###.............###
  • ##...............##
  • ##...............##
  • ##...............##
  • #.................#
  • ##...............##
  • ##...............##
  • ##...............##
  • ###.............###
  • .##.............##.
  • ..##...........##..
  • ..####.......####..
  • ....#####.#####....
  • .....#########.....
  • R = 10
  • ......#########......
  • ....######.######....
  • ...###.........###...
  • ..###...........###..
  • .###.............###.
  • .##...............##.
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • #...................#
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • .##...............##.
  • .###.............###.
  • ..###...........###..
  • ...###.........###...
  • ....######.######....
  • ......#########......
  • ```
  • ## Validator
  • You can validate specific outputs with this [text circle validator], which will give an explanation for any failed validations.
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • [text circle validator]: https://trichoplax.github.io/text-circle-validator/ "Online validator for outputs from this challenge"
  • # Now posted: [Circle of text characters](https://codegolf.codidact.com/posts/287319)
  • ---
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R (strictly greater than zero)
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square grid of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • Here `.` represents the background and `#` represents the foreground.
  • Using these characters, the rules are equivalent to:
  • - Every `.` must be included in the background
  • - Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • The potential character placements for radius 1 to 10:
  • ```text
  • R = 1
  • ###
  • #.#
  • ###
  • R = 2
  • #####
  • ##.##
  • #...#
  • ##.##
  • #####
  • R = 3
  • .#####.
  • ###.###
  • ##...##
  • #.....#
  • ##...##
  • ###.###
  • .#####.
  • R = 4
  • ..#####..
  • .###.###.
  • ##.....##
  • ##.....##
  • #.......#
  • ##.....##
  • ##.....##
  • .###.###.
  • ..#####..
  • R = 5
  • ..#######..
  • .####.####.
  • ###.....###
  • ##.......##
  • ##.......##
  • #.........#
  • ##.......##
  • ##.......##
  • ###.....###
  • .####.####.
  • ..#######..
  • R = 6
  • ...#######...
  • ..####.####..
  • .##.......##.
  • ##.........##
  • ##.........##
  • ##.........##
  • #...........#
  • ##.........##
  • ##.........##
  • ##.........##
  • .##.......##.
  • ..####.####..
  • ...#######...
  • R = 7
  • ....#######....
  • ..#####.#####..
  • .###.......###.
  • .##.........##.
  • ##...........##
  • ##...........##
  • ##...........##
  • #.............#
  • ##...........##
  • ##...........##
  • ##...........##
  • .##.........##.
  • .###.......###.
  • ..#####.#####..
  • ....#######....
  • R = 8
  • ....#########....
  • ...#####.#####...
  • ..###.......###..
  • .###.........###.
  • ###...........###
  • ##.............##
  • ##.............##
  • ##.............##
  • #...............#
  • ##.............##
  • ##.............##
  • ##.............##
  • ###...........###
  • .###.........###.
  • ..###.......###..
  • ...#####.#####...
  • ....#########....
  • R = 9
  • .....#########.....
  • ....#####.#####....
  • ..####.......####..
  • ..##...........##..
  • .##.............##.
  • ###.............###
  • ##...............##
  • ##...............##
  • ##...............##
  • #.................#
  • ##...............##
  • ##...............##
  • ##...............##
  • ###.............###
  • .##.............##.
  • ..##...........##..
  • ..####.......####..
  • ....#####.#####....
  • .....#########.....
  • R = 10
  • ......#########......
  • ....######.######....
  • ...###.........###...
  • ..###...........###..
  • .###.............###.
  • .##...............##.
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • #...................#
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • .##...............##.
  • .###.............###.
  • ..###...........###..
  • ...###.........###...
  • ....######.######....
  • ......#########......
  • ```
  • ## Validator
  • You can validate specific outputs with this [text circle validator], which will give an explanation for any failed validations.
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • [text circle validator]: https://trichoplax.github.io/text-circle-validator/ "Online validator for outputs from this challenge"
code-golf string
code-golf string finalized
#14: Post edited by user avatar trichoplax‭ · 2022-10-28T14:20:06Z (about 2 years ago)
Add link to validator
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R (strictly greater than zero)
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square grid of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • Here `.` represents the background and `#` represents the foreground.
  • Using these characters, the rules are equivalent to:
  • - Every `.` must be included in the background
  • - Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • The potential character placements for radius 1 to 10:
  • ```text
  • R = 1
  • ###
  • #.#
  • ###
  • R = 2
  • #####
  • ##.##
  • #...#
  • ##.##
  • #####
  • R = 3
  • .#####.
  • ###.###
  • ##...##
  • #.....#
  • ##...##
  • ###.###
  • .#####.
  • R = 4
  • ..#####..
  • .###.###.
  • ##.....##
  • ##.....##
  • #.......#
  • ##.....##
  • ##.....##
  • .###.###.
  • ..#####..
  • R = 5
  • ..#######..
  • .####.####.
  • ###.....###
  • ##.......##
  • ##.......##
  • #.........#
  • ##.......##
  • ##.......##
  • ###.....###
  • .####.####.
  • ..#######..
  • R = 6
  • ...#######...
  • ..####.####..
  • .##.......##.
  • ##.........##
  • ##.........##
  • ##.........##
  • #...........#
  • ##.........##
  • ##.........##
  • ##.........##
  • .##.......##.
  • ..####.####..
  • ...#######...
  • R = 7
  • ....#######....
  • ..#####.#####..
  • .###.......###.
  • .##.........##.
  • ##...........##
  • ##...........##
  • ##...........##
  • #.............#
  • ##...........##
  • ##...........##
  • ##...........##
  • .##.........##.
  • .###.......###.
  • ..#####.#####..
  • ....#######....
  • R = 8
  • ....#########....
  • ...#####.#####...
  • ..###.......###..
  • .###.........###.
  • ###...........###
  • ##.............##
  • ##.............##
  • ##.............##
  • #...............#
  • ##.............##
  • ##.............##
  • ##.............##
  • ###...........###
  • .###.........###.
  • ..###.......###..
  • ...#####.#####...
  • ....#########....
  • R = 9
  • .....#########.....
  • ....#####.#####....
  • ..####.......####..
  • ..##...........##..
  • .##.............##.
  • ###.............###
  • ##...............##
  • ##...............##
  • ##...............##
  • #.................#
  • ##...............##
  • ##...............##
  • ##...............##
  • ###.............###
  • .##.............##.
  • ..##...........##..
  • ..####.......####..
  • ....#####.#####....
  • .....#########.....
  • R = 10
  • ......#########......
  • ....######.######....
  • ...###.........###...
  • ..###...........###..
  • .###.............###.
  • .##...............##.
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • #...................#
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • .##...............##.
  • .###.............###.
  • ..###...........###..
  • ...###.........###...
  • ....######.######....
  • ......#########......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R (strictly greater than zero)
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square grid of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • Here `.` represents the background and `#` represents the foreground.
  • Using these characters, the rules are equivalent to:
  • - Every `.` must be included in the background
  • - Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • The potential character placements for radius 1 to 10:
  • ```text
  • R = 1
  • ###
  • #.#
  • ###
  • R = 2
  • #####
  • ##.##
  • #...#
  • ##.##
  • #####
  • R = 3
  • .#####.
  • ###.###
  • ##...##
  • #.....#
  • ##...##
  • ###.###
  • .#####.
  • R = 4
  • ..#####..
  • .###.###.
  • ##.....##
  • ##.....##
  • #.......#
  • ##.....##
  • ##.....##
  • .###.###.
  • ..#####..
  • R = 5
  • ..#######..
  • .####.####.
  • ###.....###
  • ##.......##
  • ##.......##
  • #.........#
  • ##.......##
  • ##.......##
  • ###.....###
  • .####.####.
  • ..#######..
  • R = 6
  • ...#######...
  • ..####.####..
  • .##.......##.
  • ##.........##
  • ##.........##
  • ##.........##
  • #...........#
  • ##.........##
  • ##.........##
  • ##.........##
  • .##.......##.
  • ..####.####..
  • ...#######...
  • R = 7
  • ....#######....
  • ..#####.#####..
  • .###.......###.
  • .##.........##.
  • ##...........##
  • ##...........##
  • ##...........##
  • #.............#
  • ##...........##
  • ##...........##
  • ##...........##
  • .##.........##.
  • .###.......###.
  • ..#####.#####..
  • ....#######....
  • R = 8
  • ....#########....
  • ...#####.#####...
  • ..###.......###..
  • .###.........###.
  • ###...........###
  • ##.............##
  • ##.............##
  • ##.............##
  • #...............#
  • ##.............##
  • ##.............##
  • ##.............##
  • ###...........###
  • .###.........###.
  • ..###.......###..
  • ...#####.#####...
  • ....#########....
  • R = 9
  • .....#########.....
  • ....#####.#####....
  • ..####.......####..
  • ..##...........##..
  • .##.............##.
  • ###.............###
  • ##...............##
  • ##...............##
  • ##...............##
  • #.................#
  • ##...............##
  • ##...............##
  • ##...............##
  • ###.............###
  • .##.............##.
  • ..##...........##..
  • ..####.......####..
  • ....#####.#####....
  • .....#########.....
  • R = 10
  • ......#########......
  • ....######.######....
  • ...###.........###...
  • ..###...........###..
  • .###.............###.
  • .##...............##.
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • #...................#
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • .##...............##.
  • .###.............###.
  • ..###...........###..
  • ...###.........###...
  • ....######.######....
  • ......#########......
  • ```
  • ## Validator
  • You can validate specific outputs with this [text circle validator], which will give an explanation for any failed validations.
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • [text circle validator]: https://trichoplax.github.io/text-circle-validator/ "Online validator for outputs from this challenge"
#13: Post edited by user avatar trichoplax‭ · 2022-10-28T00:55:27Z (about 2 years ago)
Make clear input will never be zero
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square grid of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • Here `.` represents the background and `#` represents the foreground.
  • Using these characters, the rules are equivalent to:
  • - Every `.` must be included in the background
  • - Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • The potential character placements for radius 1 to 10:
  • ```text
  • R = 1
  • ###
  • #.#
  • ###
  • R = 2
  • #####
  • ##.##
  • #...#
  • ##.##
  • #####
  • R = 3
  • .#####.
  • ###.###
  • ##...##
  • #.....#
  • ##...##
  • ###.###
  • .#####.
  • R = 4
  • ..#####..
  • .###.###.
  • ##.....##
  • ##.....##
  • #.......#
  • ##.....##
  • ##.....##
  • .###.###.
  • ..#####..
  • R = 5
  • ..#######..
  • .####.####.
  • ###.....###
  • ##.......##
  • ##.......##
  • #.........#
  • ##.......##
  • ##.......##
  • ###.....###
  • .####.####.
  • ..#######..
  • R = 6
  • ...#######...
  • ..####.####..
  • .##.......##.
  • ##.........##
  • ##.........##
  • ##.........##
  • #...........#
  • ##.........##
  • ##.........##
  • ##.........##
  • .##.......##.
  • ..####.####..
  • ...#######...
  • R = 7
  • ....#######....
  • ..#####.#####..
  • .###.......###.
  • .##.........##.
  • ##...........##
  • ##...........##
  • ##...........##
  • #.............#
  • ##...........##
  • ##...........##
  • ##...........##
  • .##.........##.
  • .###.......###.
  • ..#####.#####..
  • ....#######....
  • R = 8
  • ....#########....
  • ...#####.#####...
  • ..###.......###..
  • .###.........###.
  • ###...........###
  • ##.............##
  • ##.............##
  • ##.............##
  • #...............#
  • ##.............##
  • ##.............##
  • ##.............##
  • ###...........###
  • .###.........###.
  • ..###.......###..
  • ...#####.#####...
  • ....#########....
  • R = 9
  • .....#########.....
  • ....#####.#####....
  • ..####.......####..
  • ..##...........##..
  • .##.............##.
  • ###.............###
  • ##...............##
  • ##...............##
  • ##...............##
  • #.................#
  • ##...............##
  • ##...............##
  • ##...............##
  • ###.............###
  • .##.............##.
  • ..##...........##..
  • ..####.......####..
  • ....#####.#####....
  • .....#########.....
  • R = 10
  • ......#########......
  • ....######.######....
  • ...###.........###...
  • ..###...........###..
  • .###.............###.
  • .##...............##.
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • #...................#
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • .##...............##.
  • .###.............###.
  • ..###...........###..
  • ...###.........###...
  • ....######.######....
  • ......#########......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R (strictly greater than zero)
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square grid of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • Here `.` represents the background and `#` represents the foreground.
  • Using these characters, the rules are equivalent to:
  • - Every `.` must be included in the background
  • - Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • The potential character placements for radius 1 to 10:
  • ```text
  • R = 1
  • ###
  • #.#
  • ###
  • R = 2
  • #####
  • ##.##
  • #...#
  • ##.##
  • #####
  • R = 3
  • .#####.
  • ###.###
  • ##...##
  • #.....#
  • ##...##
  • ###.###
  • .#####.
  • R = 4
  • ..#####..
  • .###.###.
  • ##.....##
  • ##.....##
  • #.......#
  • ##.....##
  • ##.....##
  • .###.###.
  • ..#####..
  • R = 5
  • ..#######..
  • .####.####.
  • ###.....###
  • ##.......##
  • ##.......##
  • #.........#
  • ##.......##
  • ##.......##
  • ###.....###
  • .####.####.
  • ..#######..
  • R = 6
  • ...#######...
  • ..####.####..
  • .##.......##.
  • ##.........##
  • ##.........##
  • ##.........##
  • #...........#
  • ##.........##
  • ##.........##
  • ##.........##
  • .##.......##.
  • ..####.####..
  • ...#######...
  • R = 7
  • ....#######....
  • ..#####.#####..
  • .###.......###.
  • .##.........##.
  • ##...........##
  • ##...........##
  • ##...........##
  • #.............#
  • ##...........##
  • ##...........##
  • ##...........##
  • .##.........##.
  • .###.......###.
  • ..#####.#####..
  • ....#######....
  • R = 8
  • ....#########....
  • ...#####.#####...
  • ..###.......###..
  • .###.........###.
  • ###...........###
  • ##.............##
  • ##.............##
  • ##.............##
  • #...............#
  • ##.............##
  • ##.............##
  • ##.............##
  • ###...........###
  • .###.........###.
  • ..###.......###..
  • ...#####.#####...
  • ....#########....
  • R = 9
  • .....#########.....
  • ....#####.#####....
  • ..####.......####..
  • ..##...........##..
  • .##.............##.
  • ###.............###
  • ##...............##
  • ##...............##
  • ##...............##
  • #.................#
  • ##...............##
  • ##...............##
  • ##...............##
  • ###.............###
  • .##.............##.
  • ..##...........##..
  • ..####.......####..
  • ....#####.#####....
  • .....#########.....
  • R = 10
  • ......#########......
  • ....######.######....
  • ...###.........###...
  • ..###...........###..
  • .###.............###.
  • .##...............##.
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • #...................#
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • .##...............##.
  • .###.............###.
  • ..###...........###..
  • ...###.........###...
  • ....######.######....
  • ......#########......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
#12: Post edited by user avatar trichoplax‭ · 2022-10-26T14:36:17Z (about 2 years ago)
Remove ambiguity from output section
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square grid of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • Here `.` represents the background and `#` represents the foreground.
  • Using these characters, the rules are equivalent to:
  • - Every `.` must be included in the background
  • - Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • The potential character placements for radius 1 to 10:
  • ```text
  • R = 1
  • ###
  • #.#
  • ###
  • R = 2
  • #####
  • ##.##
  • #...#
  • ##.##
  • #####
  • R = 3
  • .#####.
  • ###.###
  • ##...##
  • #.....#
  • ##...##
  • ###.###
  • .#####.
  • R = 4
  • ..#####..
  • .###.###.
  • ##.....##
  • ##.....##
  • #.......#
  • ##.....##
  • ##.....##
  • .###.###.
  • ..#####..
  • R = 5
  • ..#######..
  • .####.####.
  • ###.....###
  • ##.......##
  • ##.......##
  • #.........#
  • ##.......##
  • ##.......##
  • ###.....###
  • .####.####.
  • ..#######..
  • R = 6
  • ...#######...
  • ..####.####..
  • .##.......##.
  • ##.........##
  • ##.........##
  • ##.........##
  • #...........#
  • ##.........##
  • ##.........##
  • ##.........##
  • .##.......##.
  • ..####.####..
  • ...#######...
  • R = 7
  • ....#######....
  • ..#####.#####..
  • .###.......###.
  • .##.........##.
  • ##...........##
  • ##...........##
  • ##...........##
  • #.............#
  • ##...........##
  • ##...........##
  • ##...........##
  • .##.........##.
  • .###.......###.
  • ..#####.#####..
  • ....#######....
  • R = 8
  • ....#########....
  • ...#####.#####...
  • ..###.......###..
  • .###.........###.
  • ###...........###
  • ##.............##
  • ##.............##
  • ##.............##
  • #...............#
  • ##.............##
  • ##.............##
  • ##.............##
  • ###...........###
  • .###.........###.
  • ..###.......###..
  • ...#####.#####...
  • ....#########....
  • R = 9
  • .....#########.....
  • ....#####.#####....
  • ..####.......####..
  • ..##...........##..
  • .##.............##.
  • ###.............###
  • ##...............##
  • ##...............##
  • ##...............##
  • #.................#
  • ##...............##
  • ##...............##
  • ##...............##
  • ###.............###
  • .##.............##.
  • ..##...........##..
  • ..####.......####..
  • ....#####.#####....
  • .....#########.....
  • R = 10
  • ......#########......
  • ....######.######....
  • ...###.........###...
  • ..###...........###..
  • .###.............###.
  • .##...............##.
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • #...................#
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • .##...............##.
  • .###.............###.
  • ..###...........###..
  • ...###.........###...
  • ....######.######....
  • ......#########......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square grid of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some foreground characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • Here `.` represents the background and `#` represents the foreground.
  • Using these characters, the rules are equivalent to:
  • - Every `.` must be included in the background
  • - Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • The potential character placements for radius 1 to 10:
  • ```text
  • R = 1
  • ###
  • #.#
  • ###
  • R = 2
  • #####
  • ##.##
  • #...#
  • ##.##
  • #####
  • R = 3
  • .#####.
  • ###.###
  • ##...##
  • #.....#
  • ##...##
  • ###.###
  • .#####.
  • R = 4
  • ..#####..
  • .###.###.
  • ##.....##
  • ##.....##
  • #.......#
  • ##.....##
  • ##.....##
  • .###.###.
  • ..#####..
  • R = 5
  • ..#######..
  • .####.####.
  • ###.....###
  • ##.......##
  • ##.......##
  • #.........#
  • ##.......##
  • ##.......##
  • ###.....###
  • .####.####.
  • ..#######..
  • R = 6
  • ...#######...
  • ..####.####..
  • .##.......##.
  • ##.........##
  • ##.........##
  • ##.........##
  • #...........#
  • ##.........##
  • ##.........##
  • ##.........##
  • .##.......##.
  • ..####.####..
  • ...#######...
  • R = 7
  • ....#######....
  • ..#####.#####..
  • .###.......###.
  • .##.........##.
  • ##...........##
  • ##...........##
  • ##...........##
  • #.............#
  • ##...........##
  • ##...........##
  • ##...........##
  • .##.........##.
  • .###.......###.
  • ..#####.#####..
  • ....#######....
  • R = 8
  • ....#########....
  • ...#####.#####...
  • ..###.......###..
  • .###.........###.
  • ###...........###
  • ##.............##
  • ##.............##
  • ##.............##
  • #...............#
  • ##.............##
  • ##.............##
  • ##.............##
  • ###...........###
  • .###.........###.
  • ..###.......###..
  • ...#####.#####...
  • ....#########....
  • R = 9
  • .....#########.....
  • ....#####.#####....
  • ..####.......####..
  • ..##...........##..
  • .##.............##.
  • ###.............###
  • ##...............##
  • ##...............##
  • ##...............##
  • #.................#
  • ##...............##
  • ##...............##
  • ##...............##
  • ###.............###
  • .##.............##.
  • ..##...........##..
  • ..####.......####..
  • ....#####.#####....
  • .....#########.....
  • R = 10
  • ......#########......
  • ....######.######....
  • ...###.........###...
  • ..###...........###..
  • .###.............###.
  • .##...............##.
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • #...................#
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • .##...............##.
  • .###.............###.
  • ..###...........###..
  • ...###.........###...
  • ....######.######....
  • ......#########......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
#11: Post edited by user avatar trichoplax‭ · 2022-10-25T13:06:34Z (about 2 years ago)
Simplify example format
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • - Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square grid of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • Here `.` represents the background and `#` represents the foreground.
  • Using these characters, the rules are equivalent to:
  • - Every `.` must be included in the background
  • - Any `#` may be included in the foreground, but not all of them need to be - some may be left as background provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • The potential character placements for radius 1 to 10:
  • ```text
  • R = 1
  • ###
  • #.#
  • ###
  • R = 2
  • #####
  • ##.##
  • #...#
  • ##.##
  • #####
  • R = 3
  • .#####.
  • ###.###
  • ##...##
  • #.....#
  • ##...##
  • ###.###
  • .#####.
  • R = 4
  • ..#####..
  • .###.###.
  • ##.....##
  • ##.....##
  • #.......#
  • ##.....##
  • ##.....##
  • .###.###.
  • ..#####..
  • R = 5
  • ..#######..
  • .####.####.
  • ###.....###
  • ##.......##
  • ##.......##
  • #.........#
  • ##.......##
  • ##.......##
  • ###.....###
  • .####.####.
  • ..#######..
  • R = 6
  • ...#######...
  • ..####.####..
  • .##.......##.
  • ##.........##
  • ##.........##
  • ##.........##
  • #...........#
  • ##.........##
  • ##.........##
  • ##.........##
  • .##.......##.
  • ..####.####..
  • ...#######...
  • R = 7
  • ....#######....
  • ..#####.#####..
  • .###.......###.
  • .##.........##.
  • ##...........##
  • ##...........##
  • ##...........##
  • #.............#
  • ##...........##
  • ##...........##
  • ##...........##
  • .##.........##.
  • .###.......###.
  • ..#####.#####..
  • ....#######....
  • R = 8
  • ....#########....
  • ...#####.#####...
  • ..###.......###..
  • .###.........###.
  • ###...........###
  • ##.............##
  • ##.............##
  • ##.............##
  • #...............#
  • ##.............##
  • ##.............##
  • ##.............##
  • ###...........###
  • .###.........###.
  • ..###.......###..
  • ...#####.#####...
  • ....#########....
  • R = 9
  • .....#########.....
  • ....#####.#####....
  • ..####.......####..
  • ..##...........##..
  • .##.............##.
  • ###.............###
  • ##...............##
  • ##...............##
  • ##...............##
  • #.................#
  • ##...............##
  • ##...............##
  • ##...............##
  • ###.............###
  • .##.............##.
  • ..##...........##..
  • ..####.......####..
  • ....#####.#####....
  • .....#########.....
  • R = 10
  • ......#########......
  • ....######.######....
  • ...###.........###...
  • ..###...........###..
  • .###.............###.
  • .##...............##.
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • #...................#
  • ##.................##
  • ##.................##
  • ##.................##
  • ##.................##
  • .##...............##.
  • .###.............###.
  • ..###...........###..
  • ...###.........###...
  • ....######.######....
  • ......#########......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
#10: Post edited by user avatar trichoplax‭ · 2022-10-25T10:55:04Z (about 2 years ago)
Improve output section
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. You may use some of each
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • - Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. Within a single output, some characters may have a floor of R and some may have a ceiling of R - you do not need to choose one or other consistently
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the edges
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • - Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
#9: Post edited by user avatar trichoplax‭ · 2022-10-25T10:34:27Z (about 2 years ago)
Clarify output section
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • - Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1. You may use some of each
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • - Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
#8: Post edited by user avatar trichoplax‭ · 2022-10-25T10:33:04Z (about 2 years ago)
Simplify output section
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - The foreground characters that make up the circle must satisfy the following:
  • - each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - each character that is at a distance from the centre of exactly R must be a foreground character
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • - Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - Each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • - Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
#7: Post edited by user avatar trichoplax‭ · 2022-10-25T09:39:29Z (about 2 years ago)
Fix validity criterion
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - The foreground characters that make up the circle must satisfy the following:
  • - each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - each character that is at a distance from the centre of exactly R must be a foreground character
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • - Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - The foreground characters that make up the circle must satisfy the following:
  • - each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - each character that is at a distance from the centre of exactly R must be a foreground character
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any edge of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • - Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
#6: Post edited by user avatar trichoplax‭ · 2022-10-08T15:54:37Z (about 2 years ago)
Add an extra example of a valid circle
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - The foreground characters that make up the circle must satisfy the following:
  • - each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - each character that is at a distance from the centre of exactly R must be a foreground character
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations in answers are optional, but I'm more likely to upvote answers that have one.
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - The foreground characters that make up the circle must satisfy the following:
  • - each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - each character that is at a distance from the centre of exactly R must be a foreground character
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • - Every `#`, `f`, `F`, `c`, and `C` is foreground (every character with a floor or ceiling of R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations are optional, but I'm more likely to upvote answers that have one.
#5: Post edited by user avatar trichoplax‭ · 2022-10-07T08:23:36Z (about 2 years ago)
Invite explanations
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - The foreground characters that make up the circle must satisfy the following:
  • - each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - each character that is at a distance from the centre of exactly R must be a foreground character
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - The foreground characters that make up the circle must satisfy the following:
  • - each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - each character that is at a distance from the centre of exactly R must be a foreground character
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • > Explanations in answers are optional, but I'm more likely to upvote answers that have one.
#4: Post edited by user avatar trichoplax‭ · 2022-10-07T06:15:39Z (about 2 years ago)
Trim redundant example text
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - The foreground characters that make up the circle must satisfy the following:
  • - each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - each character that is at a distance from the centre of exactly R must be a foreground character
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground, everything else is background (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground, everything else is background (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground, everything else is background (every character that rounds to R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - The foreground characters that make up the circle must satisfy the following:
  • - each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - each character that is at a distance from the centre of exactly R must be a foreground character
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground (every character that rounds to R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
#3: Post edited by user avatar trichoplax‭ · 2022-10-07T06:12:40Z (about 2 years ago)
Add examples and explain flexibility
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the circle and the background
  • - The centre of the circle is the centre of the square. That is, the location R, R if using zero indexed coordinates
  • - The characters that make up the circle must have a distance from the centre that has either a floor or a ceiling of R (you may choose only floor, or only ceiling, or both, or a mixture where some characters have a floor of R and some have a ceiling of R - you do not need to include all characters that have a floor or ceiling of R)
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square.
  • ## Examples
  • These examples use `#` as the circle character and `.` as the background character.
  • For input 5:
  • ```text
  • TODO: Add list of valid circles for radius 5
  • TODO: Consider whether extending the permitted circle character distance to floor-1 to ceiling+1 would be better or worse
  • ```
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the foreground (depicting the circle) and the background
  • - The centre of the circle is the centre of the square. That is, the location (R, R) if using zero indexed coordinates
  • - The foreground characters that make up the circle must satisfy the following:
  • - each foreground character must have a distance from the centre that has either a floor or a ceiling of R. That is, R-1 < distance < R+1
  • - each character that is at a distance from the centre of exactly R must be a foreground character
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square. Equivalently, a flood fill from the centre will not reach any of the corners
  • ## Examples
  • These examples use the following characters to indicate the distance from the centre:
  • - `#` means the character is a distance of exactly R from the centre
  • - `.` means the distance is less than or equal to R-1 or greater than or equal to R+1
  • - `f` or `F` means the floor of the distance is R
  • - `c` or `C` means the ceiling of the distance is R
  • - upper case (`F` or `C`) means the distance rounded to the nearest integer is R
  • Using these characters, the rules are equivalent to:
  • - Every `#` must be included in the foreground
  • - Every `.` must be included in the background
  • - All other characters can be either foreground or background, provided there are no gaps between the foreground characters
  • This is intended to give the flexibility to allow various different circle drawing approaches to compete.
  • Examples of valid circles include:
  • - Every `#`, `f`, and `F` is foreground, everything else is background (every character with a floor of R is foreground)
  • - Every `#`, `c`, and `C` is foreground, everything else is background (every character with a ceiling of R is foreground)
  • - Every `#`, `F`, and `C` is foreground, everything else is background (every character that rounds to R is foreground)
  • The potential character placements for radius 1 to 10:
  • ```text
  • R=1:
  • F#F
  • #.#
  • F#F
  • R=2:
  • fF#Ff
  • Fc.cF
  • #...#
  • Fc.cF
  • fF#Ff
  • R=3:
  • .fF#Ff.
  • fCc.cCf
  • Fc...cF
  • #.....#
  • Fc...cF
  • fCc.cCf
  • .fF#Ff.
  • R=4:
  • ..FF#FF..
  • .FCc.cCF.
  • FC.....CF
  • Fc.....cF
  • #.......#
  • Fc.....cF
  • FC.....CF
  • .FCc.cCF.
  • ..FF#FF..
  • R=5:
  • ..fFF#FFf..
  • .f#cc.cc#f.
  • f#c.....c#f
  • Fc.......cF
  • Fc.......cF
  • #.........#
  • Fc.......cF
  • Fc.......cF
  • f#c.....c#f
  • .f#cc.cc#f.
  • ..fFF#FFf..
  • R=6:
  • ...fFF#FFf...
  • ..FCcc.ccCF..
  • .FC.......CF.
  • fC.........Cf
  • Fc.........cF
  • Fc.........cF
  • #...........#
  • Fc.........cF
  • Fc.........cF
  • fC.........Cf
  • .FC.......CF.
  • ..FCcc.ccCF..
  • ...fFF#FFf...
  • R=7:
  • ....fFF#FFf....
  • ..fFCcc.ccCFf..
  • .fFc.......cFf.
  • .Fc.........cF.
  • fC...........Cf
  • Fc...........cF
  • Fc...........cF
  • #.............#
  • Fc...........cF
  • Fc...........cF
  • fC...........Cf
  • .Fc.........cF.
  • .fFc.......cFf.
  • ..fFCcc.ccCFf..
  • ....fFF#FFf....
  • R=8:
  • ....ffFF#FFff....
  • ...fFCcc.ccCFf...
  • ..FCc.......cCF..
  • .fCc.........cCf.
  • fFc...........cFf
  • fC.............Cf
  • Fc.............cF
  • Fc.............cF
  • #...............#
  • Fc.............cF
  • Fc.............cF
  • fC.............Cf
  • fFc...........cFf
  • .fCc.........cCf.
  • ..FCc.......cCF..
  • ...fFCcc.ccCFf...
  • ....ffFF#FFff....
  • R=9:
  • .....fFFF#FFFf.....
  • ....FCCcc.ccCCF....
  • ..fFCc.......cCFf..
  • ..Fc...........cF..
  • .FC.............CF.
  • fCc.............cCf
  • FC...............CF
  • Fc...............cF
  • Fc...............cF
  • #.................#
  • Fc...............cF
  • Fc...............cF
  • FC...............CF
  • fCc.............cCf
  • .FC.............CF.
  • ..Fc...........cF..
  • ..fFCc.......cCFf..
  • ....FCCcc.ccCCF....
  • .....fFFF#FFFf.....
  • R=10:
  • ......fFFF#FFFf......
  • ....fFCccc.cccCFf....
  • ...f#c.........c#f...
  • ..fCc...........cCf..
  • .f#c.............c#f.
  • .Fc...............cF.
  • fC.................Cf
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • #...................#
  • Fc.................cF
  • Fc.................cF
  • Fc.................cF
  • fC.................Cf
  • .Fc...............cF.
  • .f#c.............c#f.
  • ..fCc...........cCf..
  • ...f#c.........c#f...
  • ....fFCccc.cccCFf....
  • ......fFFF#FFFf......
  • ```
#2: Post edited by user avatar trichoplax‭ · 2022-10-05T00:16:27Z (about 2 years ago)
Add a thought until I have time to look into it
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the circle and the background
  • - The centre of the circle is the centre of the square. That is, the location R, R if using zero indexed coordinates
  • - The characters that make up the circle must have a distance from the centre that has either a floor or a ceiling of R (you may choose only floor, or only ceiling, or both, or a mixture where some characters have a floor of R and some have a ceiling of R - you do not need to include all characters that have a floor or ceiling of R)
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square.
  • ## Examples
  • These examples use `#` as the circle character and `.` as the background character.
  • For input 5:
  • ```text
  • TODO: Add list of valid circles for radius 5
  • ```
  • Given a radius R, output a text representation of a circle.
  • ## Input
  • - A positive integer R
  • - You do not need to handle values of R greater than 32
  • ## Output
  • - A square of characters of side length 2R + 1
  • - You may choose any 2 distinct characters to represent the circle and the background
  • - The centre of the circle is the centre of the square. That is, the location R, R if using zero indexed coordinates
  • - The characters that make up the circle must have a distance from the centre that has either a floor or a ceiling of R (you may choose only floor, or only ceiling, or both, or a mixture where some characters have a floor of R and some have a ceiling of R - you do not need to include all characters that have a floor or ceiling of R)
  • - The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square.
  • ## Examples
  • These examples use `#` as the circle character and `.` as the background character.
  • For input 5:
  • ```text
  • TODO: Add list of valid circles for radius 5
  • TODO: Consider whether extending the permitted circle character distance to floor-1 to ceiling+1 would be better or worse
  • ```
#1: Initial revision by user avatar trichoplax‭ · 2022-10-04T17:14:24Z (about 2 years ago) 
Circle of text characters
Given a radius R, output a text representation of a circle.

## Input
- A positive integer R
- You do not need to handle values of R greater than 32

## Output
- A square of characters of side length 2R + 1
- You may choose any 2 distinct characters to represent the circle and the background
- The centre of the circle is the centre of the square. That is, the location R, R if using zero indexed coordinates
- The characters that make up the circle must have a distance from the centre that has either a floor or a ceiling of R (you may choose only floor, or only ceiling, or both, or a mixture where some characters have a floor of R and some have a ceiling of R - you do not need to include all characters that have a floor or ceiling of R)
- The circle must not have gaps. Specifically, there must be no connected path of horizontally or vertically adjacent background characters joining the centre to any corner of the square.

## Examples

These examples use `#` as the circle character and `.` as the background character.

For input 5:

```text
TODO: Add list of valid circles for radius 5
```
code-golf string