polyomino
Sign in to saveAlso known as planar polyominoid
thumb|upright=1.4|The 18 one-sided pentominoes, including 6 mirrored pairs
~23 min read
Encyclopedic overview
20 sectionsContents
- 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.
Excerpted from Wikipedia’s “polyomino” article, available under the CC BY-SA 4.0 licence.