Math.Geometry.Grid.Triangular

A regular arrangement of triangular tiles. 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 triangular tiles

data UnboundedTriGrid

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

Constructors

UnboundedTriGrid

Instances

Eq UnboundedTriGrid

Show UnboundedTriGrid

Generic UnboundedTriGrid

Grid UnboundedTriGrid

type Rep UnboundedTriGrid

type Index UnboundedTriGrid = (Int, Int)

type Direction UnboundedTriGrid = TriDirection

Triangular grid with triangular tiles

data TriTriGrid

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

Instances

Eq TriTriGrid

Show TriTriGrid

Generic TriTriGrid

BoundedGrid TriTriGrid

FiniteGrid TriTriGrid

Grid TriTriGrid

type Rep TriTriGrid

type Size TriTriGrid = Int

type Index TriTriGrid = (Int, Int)

type Direction TriTriGrid = TriDirection

triTriGrid :: Int -> TriTriGrid

triTriGrid s returns a triangular grid with sides of length s, using triangular tiles. If s is nonnegative, the resulting grid will have s^2 tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

Parallelogram-shaped grid with triangular tiles

data ParaTriGrid

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

Instances

Eq ParaTriGrid

Show ParaTriGrid

Generic ParaTriGrid

BoundedGrid ParaTriGrid

FiniteGrid ParaTriGrid

Grid ParaTriGrid

type Rep ParaTriGrid

type Size ParaTriGrid = (Int, Int)

type Index ParaTriGrid = (Int, Int)

type Direction ParaTriGrid = TriDirection

paraTriGrid :: Int -> Int -> ParaTriGrid

paraTriGrid r c returns a grid in the shape of a parallelogram with r rows and c columns, using triangular tiles. If r and c are both nonnegative, the resulting grid will have 2*r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

Rectangular grid with triangular tiles

data RectTriGrid

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

Instances

Eq RectTriGrid

Show RectTriGrid

Generic RectTriGrid

BoundedGrid RectTriGrid

FiniteGrid RectTriGrid

Grid RectTriGrid

type Rep RectTriGrid

type Size RectTriGrid = (Int, Int)

type Index RectTriGrid = (Int, Int)

type Direction RectTriGrid = TriDirection

rectTriGrid :: Int -> Int -> RectTriGrid

rectTriGrid r c returns a grid in the shape of a rectangle (with jagged edges) that has r rows and c columns, using triangular tiles. If r and c are both nonnegative, the resulting grid will have 2*r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

Toroidal grid with triangular tiles

data TorTriGrid

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

Instances

Eq TorTriGrid

Show TorTriGrid

Generic TorTriGrid

WrappedGrid TorTriGrid

FiniteGrid TorTriGrid

Grid TorTriGrid

type Rep TorTriGrid

type Size TorTriGrid = (Int, Int)

type Index TorTriGrid = (Int, Int)

type Direction TorTriGrid = TriDirection

torTriGrid :: Int -> Int -> TorTriGrid

torTriGrid r c returns a toroidal grid with r rows and c columns, using triangular tiles. The indexing method is the same as for ParaTriGrid. If r and c are both nonnegative, the resulting grid will have 2*r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

Cylindrical grids with triangular tiles

data YCylTriGrid

A cylindrical grid with triangular tiles, where the cylinder is along the y-axis. The grid and its indexing scheme are illustrated in the user guide, available at https://github.com/mhwombat/grid/wiki.

Instances

Eq YCylTriGrid

Show YCylTriGrid

Generic YCylTriGrid

WrappedGrid YCylTriGrid

FiniteGrid YCylTriGrid

Grid YCylTriGrid

type Rep YCylTriGrid

type Size YCylTriGrid = (Int, Int)

type Index YCylTriGrid = (Int, Int)

type Direction YCylTriGrid = TriDirection

yCylTriGrid :: Int -> Int -> YCylTriGrid

yCylTriGrid r c returns a cylindrical grid with r rows and c columns, using triangular tiles, where the cylinder is along the y-axis. The indexing method is the same as for ParaTriGrid. If r and c are both nonnegative, the resulting grid will have 2*r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.

data XCylTriGrid

A cylindrical grid with triangular tiles, where the cylinder is along the x-axis. The grid and its indexing scheme are illustrated in the user guide, available at https://github.com/mhwombat/grid/wiki.

Instances

Eq XCylTriGrid

Show XCylTriGrid

Generic XCylTriGrid

WrappedGrid XCylTriGrid

FiniteGrid XCylTriGrid

Grid XCylTriGrid

type Rep XCylTriGrid

type Size XCylTriGrid = (Int, Int)

type Index XCylTriGrid = (Int, Int)

type Direction XCylTriGrid = TriDirection

xCylTriGrid :: Int -> Int -> XCylTriGrid

xCylTriGrid r c returns a cylindrical grid with r rows and c columns, using triangular tiles, where the cylinder is along the y-axis. The indexing method is the same as for ParaTriGrid. If r and c are both nonnegative, the resulting grid will have 2*r*c tiles. Otherwise, the resulting grid will be null and the list of indices will be null.