SubstitutionTilingGrid

Quick facts
Grid	SubstitutionTilingGrid
CellType	NGonCellType*
CellDir	CellDir*
CellRotation	CellRotation*
Bound	SubstitutionTilingBound
Properties	2d, Planar, Infinite
*NGonCellType represents any polygon. But for 4 and 6 sided faces, the values overlap with SquareCellType and HexCellType, and the corresponding SquareDir, SquareRotation, PTHexDir, HexRotation.

SubstitutionTilingGrid implements configurable subtitution tilings, also known as inflation/deflation tilings. This is a common way of creating aperiodic tilings, that is, grids made of cells in a small variety of shapes, but the overall patern of the grid does not repeat.

The substitution tilings are configured via a set of prototiles, which at present are not documented further.

Sylves comes with several built-in substitution tilings.

	Domino Grid A grid of dominos (6 sided cells the shape of a rectangle) tiled in an aperiodic pattern.
	Penrose Rhomb Grid Also known as the penrose P3 tiling.
	Chair Grid The Chair Tiling is a simple L shaped aperiod rep-tile.

Cell co-ordinates

The x, y, z values are concatenated to form a 24 byte string that encodes the path to a specific cell. The cells nearest the origin will have y=z=0, which is usually sufficient.