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There is a page named "Self-dual tessellation" on Wikipedia
- Uniform tiling (redirect from Self-dual tessellation)In geometry, a uniform tiling is a tessellation of the plane by regular polygon faces with the restriction of being vertex-transitive. Uniform tilings...44 KB (1,971 words) - 23:26, 3 May 2024
- Weisstein, Eric W., "Dual polyhedron", MathWorld Weisstein, Eric W., "Dual tessellation", MathWorld Weisstein, Eric W., "Self-dual polyhedron", MathWorld...18 KB (2,264 words) - 14:35, 3 July 2024
- Cubic honeycomb (category Self-dual tilings)each vertex. Its vertex figure is a regular octahedron. It is a self-dual tessellation with Schläfli symbol {4,3,4}. John Horton Conway called this honeycomb...66 KB (3,191 words) - 16:48, 3 August 2024
- Voronoi diagram (redirect from Dirichlet tessellation)dual to that set's Delaunay triangulation. The Voronoi diagram is named after mathematician Georgy Voronoy, and is also called a Voronoi tessellation...46 KB (5,593 words) - 23:43, 11 August 2024
- into pairs of dual polyhedra. Graph duality is a topological generalization of the geometric concepts of dual polyhedra and dual tessellations, and is in...51 KB (6,580 words) - 02:26, 3 January 2024
- A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In...58 KB (6,042 words) - 15:04, 19 August 2024
- and catoptric tessellations as the uniform tessellations (or honeycombs) of Euclidean 3-space with prime space groups and their duals, as three-dimensional...18 KB (500 words) - 21:21, 29 July 2024
- Honeycomb (geometry) (redirect from Tessellation of space)no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. Its dimension can be clarified as n-honeycomb...14 KB (1,321 words) - 01:30, 13 July 2024
- Hexagon (section Self-crossing hexagons)The Voronoi diagram of a regular triangular lattice is the honeycomb tessellation of hexagons. The maximal diameter (which corresponds to the long diagonal...30 KB (2,669 words) - 23:13, 1 July 2024
- rank > 1 in higher dimensions. There are no Euclidean regular star tessellations in any number of dimensions. There is only one polytope of rank 1 (1-polytope)...98 KB (5,294 words) - 12:18, 31 July 2024
- Schläfli symbol (section Tessellations)considered a tessellation. A regular polytope also has a dual polytope, represented by the Schläfli symbol elements in reverse order. A self-dual regular polytope...38 KB (1,927 words) - 18:57, 9 August 2024
- Square tiling (redirect from Square tessellation)In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane. It has Schläfli symbol of {4,4}, meaning...9 KB (619 words) - 00:19, 14 August 2024
- Platonic solid (section Regular tessellations)five solids into dual pairs. The tetrahedron is self-dual (i.e. its dual is another tetrahedron). The cube and the octahedron form a dual pair. The dodecahedron...53 KB (5,528 words) - 20:00, 25 July 2024
- Polytope (section Self-dual polytopes)generalize the idea to include such objects as unbounded apeirotopes and tessellations, decompositions or tilings of curved manifolds including spherical polyhedra...26 KB (3,117 words) - 07:21, 6 August 2024
- M-theory (redirect from Mysterious duality)can be viewed as a disk as illustrated on the left. This image shows a tessellation of a disk by triangles and squares. One can define the distance between...62 KB (7,723 words) - 11:43, 11 August 2024
- Abstract polytope (section Duality)11-cell is not a tessellation of any manifold in the usual sense. Instead, the 11-cell is a locally projective polytope. It is self-dual and universal:...34 KB (4,530 words) - 22:20, 16 September 2023
- Hosohedron (category Tessellation)In spherical geometry, an n-gonal hosohedron is a tessellation of lunes on a spherical surface, such that each lune shares the same two polar opposite...8 KB (592 words) - 20:45, 25 January 2023
- Uniform tilings in hyperbolic plane (redirect from Hyperbolic tessellation)Euclidean tilings. The regular tiling {p,q} has a dual tiling {q,p} across the diagonal axis of the table. Self-dual tilings {2,2}, {3,3}, {4,4}, {5,5}, etc. pass...30 KB (1,586 words) - 13:40, 31 July 2024
- segments, this tessellation is usually not considered to be an additional regular tessellation of the Euclidean plane, even when its dual order-2 apeirogonal...6 KB (688 words) - 22:48, 29 July 2024
- 3} is self-dual, {3, 4} is dual to {4, 3}, {4, 3, 3} to {3, 3, 4} and so on. The vertex figure of a regular polytope is the dual of the dual polytope's...41 KB (5,265 words) - 23:22, 13 August 2024