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Everything about Planigon
Convex polygon which can tile the plane by itself
In geometry, a planigon is a convex polygon that can fill the plane with only copies of itself. In the Euclidean plane there are 3 regular planigons; equilateral triangle, squares, and regular hexagons; and 8 semiregular planigons; and 4 demiregular planigons which can tile the plane only with other planigons. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: PlanigonA 5-minute orientation
- Read the landmark paper: Planigon tessellation cellular automataCited 5 times
- Go sideways: List of Euclidean uniform tilingsA closely related topic
- Go sideways: Triangular tilingA closely related topic
📖 Definitions
Noun A convex polygon that can fill the plane with only copies of itself.
🏆 Landmark papers (most cited)
📚 Books worth reading
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🔗 Related topics
- List of Euclidean uniform tilings This table shows the 11 convex uniform tilings (regular and semiregular) of the Euclidean plane, and their dual tilings. There are three regular and eight…
- Triangular tiling In geometry, the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane, and is the only such tiling where…
- Euclidean tilings by convex regular polygons Tilings of the Euclidean plane by convex regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of…
- Truncated hexagonal tiling In geometry, the truncated hexagonal tiling is a semiregular tiling of the Euclidean plane. There are 2 dodecagons (12-sides) and one triangle on each…
- List of k-uniform tilings A k-uniform tiling is a tiling of tilings of the plane by convex regular polygons, connected edge-to-edge, with k types of vertices. The 1-uniform tiling…
- Hexagonal tiling In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex…
- Uniform tiling In geometry, a uniform tiling is a tessellation of the plane by regular polygon faces with the restriction of being vertex-transitive. Uniform tilings…
- Vertex configuration In geometry, a vertex configuration is a shorthand notation for representing a polyhedron or tiling as the sequence of faces around a vertex. It has variously…