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Challenges

Comments on Towering Cistercian Representation

Post

Towering Cistercian Representation

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Inspired by this video.

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

enter image description here

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 
___ ⌷     ⌷     ⌷     ⌷ ___ ⌷    . ⌷ ___. ⌷    . ⌷ ___. ⌷
    ⌷     ⌷ \   ⌷   / ⌷   / ⌷    | ⌷    | ⌷    | ⌷    | ⌷
    ⌷     ⌷  \  ⌷  /  ⌷  /  ⌷    | ⌷    | ⌷    | ⌷    | ⌷
    ⌷ ___ ⌷   \ ⌷ /   ⌷ /   ⌷    ' ⌷    ' ⌷ ___' ⌷ ___' ⌷

(all of these are 4 rows in height.)

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.

They should be mirrored horizontally if they are on the left.

They should be mirrored vertically if they are on the bottom i.e. the lines should be reversed, \ and / should be swapped, and . and ' should be swapped. Here's how they should look.

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 4 | characters between them.

Scoring

This is code-golf. Shortest answer in each language wins.

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1 comment thread

General comments (8 comments)
General comments
dzaima‭ wrote about 4 years ago

How does a vertically mirrored 5 look like?

Razetime‭ wrote about 4 years ago
dzaima‭ wrote about 4 years ago

So, just reverse vertically & swap / and \? Still ends up looking ugly. (and regardless, this should be fully specified in the challenge)

Razetime‭ wrote about 4 years ago · edited about 4 years ago

yes, 8 and 9 get butchered ⍨. not sure how to remedy that. I've specified the mirroring guideline

Moshi‭ wrote about 4 years ago

Could you use a character other than ⌷ to separate the graphics? (It's hard for me to tell which side they are 'attached' to)

Razetime‭ wrote about 4 years ago

They're in the units place. all of them adhere to the left side.

Hakerh400‭ wrote about 4 years ago

Shouldn't 12345 look like this?

Razetime‭ wrote about 4 years ago

Yes, correct. I've also modified the question from the suggestions on SE.