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Sandbox Towering Cistercian representation [FINALIZED]

posted 4y ago by Razetime‭ · edited 4y ago by Razetime‭

Article code-golf ascii-art number finalized

#3: Post edited by

Razetime‭ · 2020-12-09T04:27:25Z (almost 4 years ago)

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~~Towering Cistercian representation~~

Towering Cistercian representation [FINALIZED]

#2: Post edited by

Razetime‭ · 2020-12-09T04:24:06Z (almost 4 years ago)

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~~Moving my sandbox questions from SE to here.~~
Inspired by [this video.](https://www.youtube.com/watch?v=9p55Qgt7Ciw&ab_channel=Numberphile)
Given a positive integer, draw its Cistercian representation as ascii art.
[![enter image description here][1]][1]
## The Challenge
Cistercian numerals are a decimal-based number representation system which use simple line based drawings to represent 4-digit numerals. Their structure is as follows:
```
Tens|Units
|
Thousands|Hundreds
```
~~The digits are represented as follows:~~
```
~~1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 0~~
~~___ | | | | ___ | | ___ | | ___ |~~
~~| | \ | / | / | | | | | | | | |~~
~~| | \ | / | / | | | | | | | | |~~
~~| ___ | \ | / | / | | | | | ___| | ___| |~~
```
As you can see, there are some repeating patterns within the symbols:
```
5 → 4 + 1
~~7 → 6 + 1~~
8 → 6 + 2
9 → 6 + 1 + 2
```
In order to represent a general Cistercian number, you will have to place the digits in the correct place for their value, mirroring horizontally if they are on the left, and vertically if they are on the bottom.
The fun part is when you stack a Cistercian representation on top of another one to accommodate more digits e.g.:
```
T|U
|
Th|H
|
Hth|Tth
|
TM|M
```
like a tower of sorts.
You will need to stack as many 4 part towers as the number requires, and you will need to prepend 0's to the input if it's length is not a multiple of 4.
Hence, given an input number, say, 12345, you should get the following:
`00012345 → 5432,1000`
which turns into:
```
4|5
|
2|3
|
0|1
|
0|0
```
which becomes:
```
___
\ | /
\ | /
\|/
|
|
|
| /
| /
___|/
|
|
|___
|
|
|
|
|
|
|
|
|
```
Note that this is created by making two towers for the 4 digit numbers `2345` and `0001`, stacking them, and adding a link of three `|` characters between them.
# Scoring
~~This is [tag:code-golf]. Shortest answer in each language wins.~~
[1]: https://i.stack.imgur.com/JmmEq.png

Inspired by [this video.](https://www.youtube.com/watch?v=9p55Qgt7Ciw&ab_channel=Numberphile)
Given a positive integer, draw its Cistercian representation as ascii art.
[![enter image description here][1]][1]
## The Challenge
Cistercian numerals are a decimal-based number representation system which use simple line based drawings to represent 4-digit numerals. Their structure is as follows:
```
Tens|Units
|
Thousands|Hundreds
```
The digits are represented as follows (in the units place):
```
1 ⌷ 2 ⌷ 3 ⌷ 4 ⌷ 5 ⌷ 6 ⌷ 7 ⌷ 8 ⌷ 9 ⌷ 0
___ ⌷ ⌷ ⌷ ⌷ ___ ⌷ ⌷ ___ ⌷ ⌷ ___ ⌷
⌷ ⌷ \ ⌷ / ⌷ / ⌷ | ⌷ | ⌷ | ⌷ | ⌷
⌷ ⌷ \ ⌷ / ⌷ / ⌷ | ⌷ | ⌷ | ⌷ | ⌷
⌷ ___ ⌷ \ ⌷ / ⌷ / ⌷ | ⌷ | ⌷ ___| ⌷ ___| ⌷
```
As you can see, there are some repeating patterns within the symbols:
```
5 → 4 + 1
7 → 6 + 1
8 → 6 + 2
9 → 6 + 1 + 2
```
In order to represent a general Cistercian number, you will have to place the digits in the correct place for their value, mirroring horizontally if they are on the left, and vertically if they are on the bottom.
The fun part is when you stack a Cistercian representation on top of another one to accommodate more digits e.g.:
```
T|U
|
Th|H
|
Hth|Tth
|
TM|M
```
like a tower of sorts.
You will need to stack as many 4 part towers as the number requires, and you will need to prepend 0's to the input if it's length is not a multiple of 4.
Hence, given an input number, say, 12345, you should get the following:
`00012345 → 5432,1000`
which turns into:
```
4|5
|
2|3
|
0|1
|
0|0
```
which becomes:
```
___
\ | /
\ | /
\|/
|
|
|
| /
| /
___|/
|
|
|___
|
|
|
|
|
|
|
|
|
```
Note that this is created by making two towers for the 4 digit numbers `2345` and `0001`, stacking them, and adding a link of three `|` characters between them.
# Scoring
This is code-golf. Shortest answer in each language wins.
[1]: https://i.stack.imgur.com/JmmEq.png

#1: Initial revision by

Razetime‭ · 2020-11-15T04:59:27Z (about 4 years ago)

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Towering Cistercian representation

Moving my sandbox questions from SE to here.

Inspired by [this video.](https://www.youtube.com/watch?v=9p55Qgt7Ciw&ab_channel=Numberphile)

Given a positive integer, draw its Cistercian representation as ascii art.

[![enter image description here][1]][1]

## The Challenge

Cistercian numerals are a decimal-based number representation system which use simple line based drawings to represent 4-digit numerals. Their structure is as follows:
```
     Tens|Units
         |
Thousands|Hundreds
```
The digits are represented as follows:
```
1   | 2   | 3   | 4   | 5   | 6    | 7    | 8    | 9    | 0   
___ |     |     |     | ___ |      | ___  |      | ___  |
    |     | \   |   / |   / |    | |    | |    | |    | |
    |     |  \  |  /  |  /  |    | |    | |    | |    | |
    | ___ |   \ | /   | /   |    | |    | | ___| | ___| |

```

As you can see, there are some repeating patterns within the symbols:
```
5 → 4 + 1
7 → 6 + 1
8 → 6 + 2
9 → 6 + 1 + 2
```
In order to represent a general Cistercian number, you will have to place the digits in the correct place for their value, mirroring horizontally if they are on the left, and vertically if they are on the bottom.

The fun part is when you stack a Cistercian representation on top of another one to accommodate more digits e.g.:
```
  T|U  
   |   
 Th|H  
   |   
Hth|Tth
   |   
 TM|M 
```
like a tower of sorts. 

You will need to stack as many 4 part towers as the number requires, and you will need to prepend 0's to the input if it's length is not a multiple of 4.

Hence, given an input number, say, 12345, you should get the following:

`00012345 → 5432,1000`

which turns into:
```
4|5
 |
2|3
 |
0|1
 |
0|0
```
which becomes:

```
     ___
 \  |  /
  \ | /
   \|/
    |
    |
    |
    |  /
    | /
 ___|/
    |
    |
    |___
    |
    |
    |
    |
    |
    |
    |
    |
    |

```
Note that this is created by making two towers for the 4 digit numbers `2345` and `0001`, stacking them, and adding a link of three `|` characters between them.

# Scoring

This is [tag:code-golf]. Shortest answer in each language wins.

  [1]: https://i.stack.imgur.com/JmmEq.png

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