Triangular TileMap

[stephanedaviet]

I know that it's a unusual pattern but I'm seeking to draw a game board with an equilateral triangle tiling. Something like that:

I also know that triangle grid is the dual tesselation to hexagonal grid. Thus, numerous people recommend using a hex grid instead. But this option is viable only if you move on the vertices of triangles. In my case, each triangle would be a cell of the grid, players will move from one triangle to another.

I look on how to extend TileMap, but it seems unfeasible. I'm stuck. Any advice would be appreciated.

For more insights, this article about triangular tile maps is really interesting.