Math.Geometry.Grid.Octagonal

A regular arrangement of octagonal tiles. Octagons won't tile a regular plane (there will be diamond-shaped gaps between the tiles), but they will tile a hyperbolic plane. (Alternatively, you can think of these as squares on a board game where diagonal moves are allowed.) The userguide, with illustrations, is available at https://github.com/mhwombat/grid/wiki. Also see Math.Geometry.Grid for examples of how to use this class.

Unbounded grid with octagonal tiles

data UnboundedOctGrid

An unbounded grid with octagonal tiles. The grid and its indexing scheme are illustrated in the user guide, available at https://github.com/mhwombat/grid/wiki.

Constructors

UnboundedOctGrid

Instances

Eq UnboundedOctGrid

Show UnboundedOctGrid

Generic UnboundedOctGrid

Grid UnboundedOctGrid

type Rep UnboundedOctGrid

type Index UnboundedOctGrid = (Int, Int)

type Direction UnboundedOctGrid = OctDirection

Rectangular grid with octagonal tiles

data RectOctGrid

A rectangular grid with octagonal tiles. The grid and its indexing scheme are illustrated in the user guide, available at https://github.com/mhwombat/grid/wiki.

Instances

Eq RectOctGrid

Show RectOctGrid

Generic RectOctGrid

BoundedGrid RectOctGrid

FiniteGrid RectOctGrid

Grid RectOctGrid

type Rep RectOctGrid

type Size RectOctGrid = (Int, Int)

type Index RectOctGrid = (Int, Int)

type Direction RectOctGrid = OctDirection

rectOctGrid :: Int -> Int -> RectOctGrid

rectOctGrid r c produces a rectangular grid with r rows and c columns, using octagonal tiles. If r and c are both nonnegative, the resulting grid will have r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

Toroidal grid with octagonal tiles

data TorOctGrid

A toroidal grid with octagonal tiles. The grid and its indexing scheme are illustrated in the user guide, available at https://github.com/mhwombat/grid/wiki.

Instances

Eq TorOctGrid

Show TorOctGrid

Generic TorOctGrid

WrappedGrid TorOctGrid

FiniteGrid TorOctGrid

Grid TorOctGrid

type Rep TorOctGrid

type Size TorOctGrid = (Int, Int)

type Index TorOctGrid = (Int, Int)

type Direction TorOctGrid = OctDirection

torOctGrid :: Int -> Int -> TorOctGrid

torOctGrid r c returns a toroidal grid with r rows and c columns, using octagonal tiles. If r and c are both nonnegative, the resulting grid will have r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.