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The rectified order-5 hexagonal tiling honeycomb, t 1 {6,3,5}, has icosahedron and trihexagonal tiling facets, with a pentagonal prism vertex figure. It is similar to the 2D hyperbolic infinite-order square tiling, r{∞,5} with pentagon and apeirogonal faces. All vertices are on the ideal surface.
The order-5 truncated pentagonal hexecontahedron is a convex polyhedron with 72 faces: 60 hexagons and 12 pentagons triangular, with 210 edges, and 140 vertices. Its dual is the pentakis snub dodecahedron. It is Goldberg polyhedron {5+,3} 2,1 in the icosahedral family, with chiral symmetry. The relationship between pentagons steps into 2 ...
Truncated order-5 hexagonal tiling Poincaré disk model of the hyperbolic plane: Type: Hyperbolic uniform tiling: Vertex configuration: 5.12.12 Schläfli symbol: t{6,5} Wythoff symbol: 2 5 | 6 Coxeter diagram: Symmetry group [6,5], (*652) Dual: Order-6 pentakis pentagonal tiling: Properties: Vertex-transitive
Order-5 hexagonal tiling Poincaré disk model of the hyperbolic plane: Type: Hyperbolic regular tiling: Vertex configuration: 6 5: Schläfli symbol {6,5} Wythoff symbol: 5 | 6 2 Coxeter diagram: Symmetry group [6,5], (*652) Dual: Order-6 pentagonal tiling: Properties: Vertex-transitive, edge-transitive, face-transitive
With a final vertex 3 4.6, 4 more contiguous equilateral triangles and a single regular hexagon. However, this notation has two main problems related to ambiguous conformation and uniqueness [ 2 ] First, when it comes to k-uniform tilings, the notation does not explain the relationships between the vertices.
Truncated order-5 hexagonal tiling; Truncated order-6 hexagonal tiling; Truncated order-8 hexagonal tiling This page was last ... Code of Conduct; Developers;
Truncated order-5 hexagonal tiling; Truncated order-5 pentagonal tiling; Truncated order-5 square tiling This page was last ... Code of Conduct; Developers;
In geometry, the truncated order-5 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of t 0,1 {5,5}, constructed from one pentagons and two decagons around every vertex.