Code Golf

#5: Post edited by

trichoplax‭ · 2024-08-01T21:13:35Z (5 months ago)
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~~Net or not?~~

Net or not? [FINALIZED]

Given a [hexomino], indicate whether it is a net of a cube.
## Input
- A 6 by 6 grid containing exactly 6 filled squares.
- The 6 filled squares will be in a single edge connected set (a hexomino).
- The topmost row and leftmost column will never be empty (the hexomino will be as far up and left as it can go).
- The grid is represented as 6 newline separated strings of 6 characters, with `#` for a filled square and `.` for an empty square.
## Output
- One of 2 distinct values to indicate whether the hexomino can be folded to give a cube.
## The hexominoes
A hexomino is an edge connected subset of the square tiling, composed of exactly 6 squares.
Up to rotation and reflection, there are 35 edge connected hexominoes, 11 of which are nets of a cube.
### The 35 hexominoes[^1]
[![The 35 hexominoes]][The 35 hexominoes Wikimedia page]
### The 11 nets of a cube[^2]
[![The 11 nets of a cube]][The 11 nets of a cube Wikimedia page]
Your code must also accept inputs that are rotations and reflections of these. There are a total of 216 hexominoes including all rotations by a multiple of 90 degrees and reflections, 64 of which are cube nets. The test cases include all of these.
## Test cases
### Cube nets
The 64 hexominoes that can be folded into a cube.
```text
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......
......
......
```
### Not cube nets
The 152 hexominoes that cannot be folded into a cube.
```text
..#...
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......
......
......
......
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......
......
......
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```
## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[^1]: Thanks to [The 35 hexominoes Wikimedia page].
[^2]: Thanks to [The 11 nets of a cube Wikimedia page].
[hexomino]: https://en.wikipedia.org/wiki/Hexomino
[The 35 hexominoes]: https://upload.wikimedia.org/wikipedia/commons/0/02/All_35_free_hexominoes.svg
[The 35 hexominoes Wikimedia page]: https://en.wikipedia.org/wiki/File:All_35_free_hexominoes.svg
[The 11 nets of a cube]: https://upload.wikimedia.org/wikipedia/commons/c/cd/The_11_cubic_nets.svg
[The 11 nets of a cube Wikimedia page]: https://en.wikipedia.org/wiki/File:The_11_cubic_nets.svg
[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"

# Now posted: [Net or not?](https://codegolf.codidact.com/posts/292173)
---
Given a [hexomino], indicate whether it is a net of a cube.
## Input
- A 6 by 6 grid containing exactly 6 filled squares.
- The 6 filled squares will be in a single edge connected set (a hexomino).
- The topmost row and leftmost column will never be empty (the hexomino will be as far up and left as it can go).
- The grid is represented as 6 newline separated strings of 6 characters, with `#` for a filled square and `.` for an empty square.
## Output
- One of 2 distinct values to indicate whether the hexomino can be folded to give a cube.
## The hexominoes
A hexomino is an edge connected subset of the square tiling, composed of exactly 6 squares.
Up to rotation and reflection, there are 35 edge connected hexominoes, 11 of which are nets of a cube.
### The 35 hexominoes[^1]
[![The 35 hexominoes]][The 35 hexominoes Wikimedia page]
### The 11 nets of a cube[^2]
[![The 11 nets of a cube]][The 11 nets of a cube Wikimedia page]
Your code must also accept inputs that are rotations and reflections of these. There are a total of 216 hexominoes including all rotations by a multiple of 90 degrees and reflections, 64 of which are cube nets. The test cases include all of these.
## Test cases
### Cube nets
The 64 hexominoes that can be folded into a cube.
```text
#.....
####..
#.....
......
......
......
.#....
.#....
.#....
###...
......
......
...#..
####..
...#..
......
......
......
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......
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####..
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......
......
......
```
### Not cube nets
The 152 hexominoes that cannot be folded into a cube.
```text
..#...
#####.
......
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......
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## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[^1]: Thanks to [The 35 hexominoes Wikimedia page].
[^2]: Thanks to [The 11 nets of a cube Wikimedia page].
[hexomino]: https://en.wikipedia.org/wiki/Hexomino
[The 35 hexominoes]: https://upload.wikimedia.org/wikipedia/commons/0/02/All_35_free_hexominoes.svg
[The 35 hexominoes Wikimedia page]: https://en.wikipedia.org/wiki/File:All_35_free_hexominoes.svg
[The 11 nets of a cube]: https://upload.wikimedia.org/wikipedia/commons/c/cd/The_11_cubic_nets.svg
[The 11 nets of a cube Wikimedia page]: https://en.wikipedia.org/wiki/File:The_11_cubic_nets.svg
[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"

code-golf math

code-golf math finalized

#4: Post edited by

trichoplax‭ · 2024-08-01T21:10:41Z (5 months ago)
Further specify input

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Raw

Markdown

Given a [hexomino], indicate whether it is a net of a cube.
## Input
- A 6 by 6 grid containing exactly 6 filled squares.
- The 6 filled squares will be in a single edge connected set (a hexomino).
- The topmost row and leftmost column will never be empty (the hexomino will be as far up and left as it can go).
## Output
- One of 2 distinct values to indicate whether the hexomino can be folded to give a cube.
## The hexominoes
A hexomino is an edge connected subset of the square tiling, composed of exactly 6 squares.
Up to rotation and reflection, there are 35 edge connected hexominoes, 11 of which are nets of a cube.
### The 35 hexominoes[^1]
[![The 35 hexominoes]][The 35 hexominoes Wikimedia page]
### The 11 nets of a cube[^2]
[![The 11 nets of a cube]][The 11 nets of a cube Wikimedia page]
Your code must also accept inputs that are rotations and reflections of these. There are a total of 216 hexominoes including all rotations by a multiple of 90 degrees and reflections, 64 of which are cube nets. The test cases include all of these.
## Test cases
### Cube nets
The 64 hexominoes that can be folded into a cube.
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### Not cube nets
The 152 hexominoes that cannot be folded into a cube.
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```
## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[^1]: Thanks to [The 35 hexominoes Wikimedia page].
[^2]: Thanks to [The 11 nets of a cube Wikimedia page].
[hexomino]: https://en.wikipedia.org/wiki/Hexomino
[The 35 hexominoes]: https://upload.wikimedia.org/wikipedia/commons/0/02/All_35_free_hexominoes.svg
[The 35 hexominoes Wikimedia page]: https://en.wikipedia.org/wiki/File:All_35_free_hexominoes.svg
[The 11 nets of a cube]: https://upload.wikimedia.org/wikipedia/commons/c/cd/The_11_cubic_nets.svg
[The 11 nets of a cube Wikimedia page]: https://en.wikipedia.org/wiki/File:The_11_cubic_nets.svg
[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"

Given a [hexomino], indicate whether it is a net of a cube.
## Input
- A 6 by 6 grid containing exactly 6 filled squares.
- The 6 filled squares will be in a single edge connected set (a hexomino).
- The topmost row and leftmost column will never be empty (the hexomino will be as far up and left as it can go).
- The grid is represented as 6 newline separated strings of 6 characters, with `#` for a filled square and `.` for an empty square.
## Output
- One of 2 distinct values to indicate whether the hexomino can be folded to give a cube.
## The hexominoes
A hexomino is an edge connected subset of the square tiling, composed of exactly 6 squares.
Up to rotation and reflection, there are 35 edge connected hexominoes, 11 of which are nets of a cube.
### The 35 hexominoes[^1]
[![The 35 hexominoes]][The 35 hexominoes Wikimedia page]
### The 11 nets of a cube[^2]
[![The 11 nets of a cube]][The 11 nets of a cube Wikimedia page]
Your code must also accept inputs that are rotations and reflections of these. There are a total of 216 hexominoes including all rotations by a multiple of 90 degrees and reflections, 64 of which are cube nets. The test cases include all of these.
## Test cases
### Cube nets
The 64 hexominoes that can be folded into a cube.
```text
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```
### Not cube nets
The 152 hexominoes that cannot be folded into a cube.
```text
..#...
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```
## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[^1]: Thanks to [The 35 hexominoes Wikimedia page].
[^2]: Thanks to [The 11 nets of a cube Wikimedia page].
[hexomino]: https://en.wikipedia.org/wiki/Hexomino
[The 35 hexominoes]: https://upload.wikimedia.org/wikipedia/commons/0/02/All_35_free_hexominoes.svg
[The 35 hexominoes Wikimedia page]: https://en.wikipedia.org/wiki/File:All_35_free_hexominoes.svg
[The 11 nets of a cube]: https://upload.wikimedia.org/wikipedia/commons/c/cd/The_11_cubic_nets.svg
[The 11 nets of a cube Wikimedia page]: https://en.wikipedia.org/wiki/File:The_11_cubic_nets.svg
[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"

#3: Post edited by

trichoplax‭ · 2024-08-01T20:57:50Z (5 months ago)
Move attribution to footnotes

Copy Link

Raw

Markdown

Given a [hexomino], indicate whether it is a net of a cube.
## Input
- A 6 by 6 grid containing exactly 6 filled squares.
- The 6 filled squares will be in a single edge connected set (a hexomino).
- The topmost row and leftmost column will never be empty (the hexomino will be as far up and left as it can go).
## Output
- One of 2 distinct values to indicate whether the hexomino can be folded to give a cube.
## The hexominoes
A hexomino is an edge connected subset of the square tiling, composed of exactly 6 squares.
Up to rotation and reflection, there are 35 edge connected hexominoes, 11 of which are nets of a cube.
~~### The 35 hexominoes~~
[![The 35 hexominoes]][The 35 hexominoes Wikimedia page]
~~Thanks to [The 35 hexominoes Wikimedia page].~~
~~### The 11 nets of a cube~~
[![The 11 nets of a cube]][The 11 nets of a cube Wikimedia page]
~~Thanks to [The 11 nets of a cube Wikimedia page].~~
Your code must also accept inputs that are rotations and reflections of these. There are a total of 216 hexominoes including all rotations by a multiple of 90 degrees and reflections, 64 of which are cube nets. The test cases include all of these.
## Test cases
### Cube nets
The 64 hexominoes that can be folded into a cube.
```text
#.....
####..
#.....
......
......
......
.#....
.#....
.#....
###...
......
......
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####..
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......
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## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[hexomino]: https://en.wikipedia.org/wiki/Hexomino
[The 35 hexominoes]: https://upload.wikimedia.org/wikipedia/commons/0/02/All_35_free_hexominoes.svg
[The 35 hexominoes Wikimedia page]: https://en.wikipedia.org/wiki/File:All_35_free_hexominoes.svg
[The 11 nets of a cube]: https://upload.wikimedia.org/wikipedia/commons/c/cd/The_11_cubic_nets.svg
[The 11 nets of a cube Wikimedia page]: https://en.wikipedia.org/wiki/File:The_11_cubic_nets.svg
[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"

Given a [hexomino], indicate whether it is a net of a cube.
## Input
- A 6 by 6 grid containing exactly 6 filled squares.
- The 6 filled squares will be in a single edge connected set (a hexomino).
- The topmost row and leftmost column will never be empty (the hexomino will be as far up and left as it can go).
## Output
- One of 2 distinct values to indicate whether the hexomino can be folded to give a cube.
## The hexominoes
A hexomino is an edge connected subset of the square tiling, composed of exactly 6 squares.
Up to rotation and reflection, there are 35 edge connected hexominoes, 11 of which are nets of a cube.
### The 35 hexominoes[^1]
[![The 35 hexominoes]][The 35 hexominoes Wikimedia page]
### The 11 nets of a cube[^2]
[![The 11 nets of a cube]][The 11 nets of a cube Wikimedia page]
Your code must also accept inputs that are rotations and reflections of these. There are a total of 216 hexominoes including all rotations by a multiple of 90 degrees and reflections, 64 of which are cube nets. The test cases include all of these.
## Test cases
### Cube nets
The 64 hexominoes that can be folded into a cube.
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### Not cube nets
The 152 hexominoes that cannot be folded into a cube.
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## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[^1]: Thanks to [The 35 hexominoes Wikimedia page].
[^2]: Thanks to [The 11 nets of a cube Wikimedia page].
[hexomino]: https://en.wikipedia.org/wiki/Hexomino
[The 35 hexominoes]: https://upload.wikimedia.org/wikipedia/commons/0/02/All_35_free_hexominoes.svg
[The 35 hexominoes Wikimedia page]: https://en.wikipedia.org/wiki/File:All_35_free_hexominoes.svg
[The 11 nets of a cube]: https://upload.wikimedia.org/wikipedia/commons/c/cd/The_11_cubic_nets.svg
[The 11 nets of a cube Wikimedia page]: https://en.wikipedia.org/wiki/File:The_11_cubic_nets.svg
[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"

#2: Post edited by

trichoplax‭ · 2024-07-31T16:15:01Z (5 months ago)
Add explanation of hexomino

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Raw

Markdown

~~Given a hexomino, indicate whether it is a net of a cube.~~
## Input
- A 6 by 6 grid containing exactly 6 filled squares.
- The 6 filled squares will be in a single edge connected set (a hexomino).
- The topmost row and leftmost column will never be empty (the hexomino will be as far up and left as it can go).
## Output
- One of 2 distinct values to indicate whether the hexomino can be folded to give a cube.
## The hexominoes
Up to rotation and reflection, there are 35 edge connected hexominoes, 11 of which are nets of a cube.
### The 35 hexominoes
[![The 35 hexominoes]][The 35 hexominoes Wikimedia page]
Thanks to [The 35 hexominoes Wikimedia page].
### The 11 nets of a cube
[![The 11 nets of a cube]][The 11 nets of a cube Wikimedia page]
Thanks to [The 11 nets of a cube Wikimedia page].
Your code must also accept inputs and recognise cube nets that are rotations and reflections of these. There are a total of 216 hexominoes including all rotations and reflections, 64 of which are cube nets. The test cases include all of these.
## Test cases
### Cube nets
The 64 hexominoes that can be folded into a cube.
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```
### Not cube nets
The 152 hexominoes that cannot be folded into a cube.
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## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[The 35 hexominoes]: https://upload.wikimedia.org/wikipedia/commons/0/02/All_35_free_hexominoes.svg
[The 35 hexominoes Wikimedia page]: https://en.wikipedia.org/wiki/File:All_35_free_hexominoes.svg
[The 11 nets of a cube]: https://upload.wikimedia.org/wikipedia/commons/c/cd/The_11_cubic_nets.svg
[The 11 nets of a cube Wikimedia page]: https://en.wikipedia.org/wiki/File:The_11_cubic_nets.svg
[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"

Given a [hexomino], indicate whether it is a net of a cube.
## Input
- A 6 by 6 grid containing exactly 6 filled squares.
- The 6 filled squares will be in a single edge connected set (a hexomino).
- The topmost row and leftmost column will never be empty (the hexomino will be as far up and left as it can go).
## Output
- One of 2 distinct values to indicate whether the hexomino can be folded to give a cube.
## The hexominoes
A hexomino is an edge connected subset of the square tiling, composed of exactly 6 squares.
Up to rotation and reflection, there are 35 edge connected hexominoes, 11 of which are nets of a cube.
### The 35 hexominoes
[![The 35 hexominoes]][The 35 hexominoes Wikimedia page]
Thanks to [The 35 hexominoes Wikimedia page].
### The 11 nets of a cube
[![The 11 nets of a cube]][The 11 nets of a cube Wikimedia page]
Thanks to [The 11 nets of a cube Wikimedia page].
Your code must also accept inputs that are rotations and reflections of these. There are a total of 216 hexominoes including all rotations by a multiple of 90 degrees and reflections, 64 of which are cube nets. The test cases include all of these.
## Test cases
### Cube nets
The 64 hexominoes that can be folded into a cube.
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## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.
> Explanations are optional, but I'm more likely to upvote answers that have one.
[hexomino]: https://en.wikipedia.org/wiki/Hexomino
[The 35 hexominoes]: https://upload.wikimedia.org/wikipedia/commons/0/02/All_35_free_hexominoes.svg
[The 35 hexominoes Wikimedia page]: https://en.wikipedia.org/wiki/File:All_35_free_hexominoes.svg
[The 11 nets of a cube]: https://upload.wikimedia.org/wikipedia/commons/c/cd/The_11_cubic_nets.svg
[The 11 nets of a cube Wikimedia page]: https://en.wikipedia.org/wiki/File:The_11_cubic_nets.svg
[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"

#1: Initial revision by

trichoplax‭ · 2024-07-31T16:03:22Z (5 months ago)

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Raw

Markdown

Net or not?

Given a hexomino, indicate whether it is a net of a cube.

## Input
- A 6 by 6 grid containing exactly 6 filled squares.
- The 6 filled squares will be in a single edge connected set (a hexomino).
- The topmost row and leftmost column will never be empty (the hexomino will be as far up and left as it can go).

## Output
- One of 2 distinct values to indicate whether the hexomino can be folded to give a cube.

## The hexominoes
Up to rotation and reflection, there are 35 edge connected hexominoes, 11 of which are nets of a cube.

### The 35 hexominoes
[![The 35 hexominoes]][The 35 hexominoes Wikimedia page]

Thanks to [The 35 hexominoes Wikimedia page].

### The 11 nets of a cube
[![The 11 nets of a cube]][The 11 nets of a cube Wikimedia page]

Thanks to [The 11 nets of a cube Wikimedia page].

Your code must also accept inputs and recognise cube nets that are rotations and reflections of these. There are a total of 216 hexominoes including all rotations and reflections, 64 of which are cube nets. The test cases include all of these.

## Test cases
### Cube nets
The 64 hexominoes that can be folded into a cube.
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## Scoring
This is a [code golf challenge]. Your score is the number of bytes in your code. Lowest score for each language wins.

> Explanations are optional, but I'm more likely to upvote answers that have one.

[The 35 hexominoes]: https://upload.wikimedia.org/wikipedia/commons/0/02/All_35_free_hexominoes.svg

[The 35 hexominoes Wikimedia page]: https://en.wikipedia.org/wiki/File:All_35_free_hexominoes.svg

[The 11 nets of a cube]: https://upload.wikimedia.org/wikipedia/commons/c/cd/The_11_cubic_nets.svg

[The 11 nets of a cube Wikimedia page]: https://en.wikipedia.org/wiki/File:The_11_cubic_nets.svg

[code golf challenge]: https://codegolf.codidact.com/categories/49/tags/4274 "The code-golf tag"

code-golf math

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