# Why Hex Maps instead Octagon Maps?

I understand the advantage of Hex Maps over Square Grids. But I get a question: Why aren't used Octagons maps instead? At least (I think) will be easier cross (+) movement (up,down,left,right) and xis (x) movement (up-left, up-right, down-left, down-right).

I was thinking about use that kind of map in some game, but I find none games using that kind of map, but a lot of stuff about Hex Maps and Square Grid Maps, so I wonder if I missed something obviously flawed about using it.

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Octagons don't tile. –  Boreal Apr 17 at 21:37
@BorealGames It makes sense now ^^ –  Click Ok Apr 17 at 21:46
I wonder if there are any other shapes that tile like squares and hexagons –  Azaral Apr 18 at 0:30
@Azaral: There are only triangles, squares, and hexes. This has been proven. –  Nicol Bolas Apr 18 at 0:46
Well, actually there are tilings with other regular polygons, but only in non-euclidian geometries. You can get a regular pentagon tiling on a sphere for instance. –  TonioElGringo Apr 18 at 6:34

Octogons:

Hexagons:

The gaps in the octogons make for an unappealing game world.

Typically, if you wanted to allow for eight directions of movement, you would just use squares.

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An alternative is to have your game take place on the hyperbolic plane, where you can tile with octogons: roguetemple.com/z/hyper.php –  MartianInvader Apr 17 at 22:22
@MartianInvader How Interesting! –  Click Ok Apr 17 at 22:43