Games
To supplement the posts about the triangular and square tilings, let's consider the third type - the hexagonal tiling. This is my favorite one. Each hexagon has more non-diagonal neighbors than a square. It simplifies calculating distance between two tiles. The main disadvantage of this tiling is that the axes are not orthogonal.
Recall from the previous post there are only three regular polygons that can be used as tiles. Let's have a look at triangles now. Such tiles are practically not used in games because there is no direct path on the map and the game unit should be turned at each tile. Besides, it is rather hard to place units within acute corners because a lot of free space is wasted.
Many games use graphical maps based on iterative tiles. There are only three regular polygons that can be used as tiles: triangles, squares, and hexagons. Consider the square tiling first. Such tiles are most often used in games because of their ease of processing. Sometimes game developers enable diagonal movement, however, this feature makes calculating distance between two tiles more complicated.
