>The cell shape of that grid system is an important consideration. For simplicity, it should be a polygon that tiles regularly: the triangle, the square, or the hexagon. Of these, triangles and squares have neighbors with different distances. Triangles have three different distances, and squares have two different distances. For hexagons, all neighbors are equidistant
And
>This property allows for simpler analysis of movement. Hexagons have the property of expanding rings of neighbors approximating circles
>Hexagons are also optimally space-filling. On average, a polygon may be filled with hexagon tiles with a smaller margin of error than would be present with square tiles.
>The cell shape of that grid system is an important consideration. For simplicity, it should be a polygon that tiles regularly: the triangle, the square, or the hexagon. Of these, triangles and squares have neighbors with different distances. Triangles have three different distances, and squares have two different distances. For hexagons, all neighbors are equidistant
And
>This property allows for simpler analysis of movement. Hexagons have the property of expanding rings of neighbors approximating circles
>Hexagons are also optimally space-filling. On average, a polygon may be filled with hexagon tiles with a smaller margin of error than would be present with square tiles.