Something to play with the kiddies...
Looks like you need four black 1d4s and some liquid paper/nail polish to paint a point on each of the dice. And lets throw in seven monster tokens because we need to D&D up this game.
Looks like dice combinations are:
0 0 0 0
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
1 1 0 0
1 0 1 0
1 0 0 1
0 0 1 1
0 1 0 1
0 1 1 0
1 1 1 0
1 1 0 1
1 0 1 1
0 1 1 1
1 1 1 1
Result 0 1 2 3 4
Chance 1 4 6 4 1
To modernize the game we need:
1. For dice we need a 16-sided dice with the numbers 0-4: 1x0, 4x1, 6x2, 4x3, and 1x4. This is sixteen triangles, eight associated with each pole of the dice.
2. For Game pieces, we need seven monster tokens or miniature figures for each player.
High tech version
A steel board on a flip axis and magnetic figurines means one player per side. When a like magnetic pole interacts through the board it causes the player to fall from the underside of the board.
Update (11 April 2019): A Gameboard
Lets add the gameboard to your dungeon. Encountering the game causes the PC to fragment into seven parts. The PC must fight an opposite Alignment mirror entity or rival PC to get all seven parts of themselves to the exit. Movement of pieces is controlled by dice rolls (using 4d4 as not sure where to get a 1d16 with appropriate weights). Victor keeps alignment. Looser must change alignment (or be trapped in the game).
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