GameY in 3D

This morning one student reminded me about one possible extension to the GameY that I commented in one of the lab sessions, which I called 3DY.

The extension follows the same rules of the Game Y but instead of being played in 2 dimensions, it can be played in 3 dimensions. The 3 dimensions are a generalization of the 3 dimensions.

So instead of having a board in 2 dimensions like this one:

The board would be a 3 dimensions structure like this:

Notice that although the figure resembles a regular tetrahedron, in reality the internal tetrahedra are not regular.

The game consists in coloring the different spheres and the winner is the player that connects the four sides of the 3D structure.

In order to implement this game, it would be necessary to use a library that can visualize 3D structures and that would allow the players to interact in those structures.

No files, tests, entry points, or implementation library are named. Start by clarifying the 3D board representation, interaction model, winning-condition rules, and suitable visualization library. Done should include a playable 3DY implementation in which players color spheres and connect the four sides of the structure.

Written by the indexing model from the issue text.