A small aperiodic set of planar tiles (Q1304432)
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scientific article; zbMATH DE number 1339811
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A small aperiodic set of planar tiles |
scientific article; zbMATH DE number 1339811 |
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A small aperiodic set of planar tiles (English)
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29 October 2000
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A set of tiles is called aperiodic if any tiling of the plane with congruent copies of the tiles is non-periodic. The author gives a set of two tiles that is proved to be aperiodic and new. The tiles occur in eight translation classes. The tiles are colored and a matching rule, that is, a local rule that restricts how the tiles are allowed to meet, is used (but the author gives a variant at the end of the paper that is purely geometrical).
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aperiodic tiling
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plane
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tile
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