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polyomino
EntityQ1144819· pop 19· linked from 113 articles

Also known as planar polyominoid

thumb|upright=1.4|The 18 one-sided pentominoes, including 6 mirrored pairs

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Polyomino
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~23 min read

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20 sections
Contents
  • Enumeration of polyominoes
  • Free, one-sided, and fixed polyominoes
  • Symmetries of polyominoes
  • Algorithms for enumeration of fixed polyominoes
  • Inductive algorithms
  • Transfer-matrix method
  • Asymptotic growth of the number of polyominoes
  • Fixed polyominoes
  • Free polyominoes
  • Special classes of polyominoes
  • Tiling with polyominoes
  • Tiling regions with sets of polyominoes
  • Tiling regions with copies of a single polyomino
  • Tiling the plane with copies of a single polyomino
  • Tiling a common figure with various polyominoes
  • Polyominoes in puzzles and games
  • Etymology
  • See also
  • Notes
  • External links

thumb|upright=1.4|The 18 one-sided pentominoes, including 6 mirrored pairs

A polyomino is a plane geometric figure, connected, formed by joining a finite number of unit squares edge-to-edge. It is a polyform whose cells are squares. It may be regarded as a finite and connected subset of the regular square tiling.

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