What is a Tiling
An instance of the class Tiling that precisely describes a finite tessellation, a collection of polygons that covers a finite 2-dimensional area without leaving any gap or overlap.
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Smallest Tiling |
Each polygon:
- is regular, all its sides and all its angles equal.
- has unit size, the length of each side is 1
Note
Go to the next page for a more accurate mathematical definition of tiling covering the whole 2-dimensional plane.
How to build a Tiling
At the most basic level, a Tiling instance is built providing the edges of an undirected graph.
And only a constructor with validation is available; since a valid Tiling is always a graph, but the opposite is not true, see Tiling validation.
Tiling.maybe(1--2, 1--3, 2--3) // Right(Tiling(1--2, 1--3, 2--3))
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