Non-transitive Dice

A triplet of 20 mm Non-transitive Dice (see: https://en.wikipedia.org/wiki/Intransitive_dice) with sides: 

• A: 1, 4, 4, 4, 4, 4
• B: 2, 2, 2, 5, 5, 5
• C: 3, 3, 3, 3, 3, 6

There are many known sets of non-transitive dice (see: https://singingbanana.com/dice/article.htm) but this particular set has the following properties:

• If you roll A against B: 
  • A wins 15/36 of the time.
  • B wins 21/36 of the time.
• If you roll B against C, 
  • B wins 15/36 of the time.
  • C wins 21/36 of the time.
• If you roll C against A, 
  • C wins 11/36 of the time.
  • A wins 25/36 of the time.

Moreover, if you roll two copies of each dice, the dominance relationships are inverted:

• If you roll two copies of A against two copies of B:
  • A+A wins 765/1296 of the time.
  • B+B wins 531/1296 of the time.
• If you roll two copies of B against two copies of C:
  • B+B wins 765/1296 of the time.
  • C+C wins 531/1296 of the time.
• If you roll two copies of C against two copies of A:
  • C+C wins 671/1296 of the time.
  • A+A wins 625/1296 of the time.

I attach the parametric OpenScad file, so you can modify the design. It includes a module that allows you to create any cubic dice with pips ranging from 0 to 9.