prototile
Sign in to savethumb|upright=1.35|This form of the aperiodic tiling|aperiodic [[Penrose tiling has two prototiles, a thick rhombus (shown blue in the figure) and a thin rhombus (green).]] In mathematics, a prototile is one of the shapes of a tile in a tessellation.
In the Vinony graph
Vinony's link graph records 182 inbound references to prototile, and connects out to list of regular polytopes, Wang tile and snub hexagonal tiling.
It is catalogued under the topic Tessellation.
Vinony links it to 7 Wikipedia language editions.
Wikidata facts
- Subclass of
- geometric shape
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- Commons category
- Prototiles
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Encyclopedic overview
3 sectionsContents
- Definition
- Aperiodicity
- References
thumb|upright=1.35|This form of the aperiodic tiling|aperiodic [[Penrose tiling has two prototiles, a thick rhombus (shown blue in the figure) and a thin rhombus (green).]] In mathematics, a prototile is one of the shapes of a tile in a tessellation.
==Definition== A tessellation of the plane or of any other space is a cover of the space by closed shapes, called tiles, that have disjoint interiors. Some of the tiles may be congruent to one or more others. If is the set of tiles in a tessellation, a set of shapes is called a set of prototiles if no two shapes in are congruent to each other, and every tile in is congruent to one of the shapes in .
Excerpted from Wikipedia’s “prototile” article, available under the CC BY-SA 4.0 licence.