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The runcitruncated order-5 hexagonal tiling honeycomb, t 0,1,3 {6,3,5}, has truncated hexagonal tiling, rhombicosidodecahedron, pentagonal prism, and dodecagonal prism cells, with an isosceles-trapezoidal pyramid vertex figure.
In geometry, the truncated order-5 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t 0,1 {6,5}. Related polyhedra and tiling
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 ...
The truncated hexagonal tiling honeycomb, t 0,1 {6,3,3}, has tetrahedral and truncated hexagonal tiling facets, with a triangular pyramid vertex figure. It is similar to the 2D hyperbolic truncated order-3 apeirogonal tiling , t{∞,3} with apeirogonal and triangle faces:
The truncated order-5 cubic honeycomb, , has truncated cube and icosahedron cells, with a pentagonal pyramid vertex figure. It can be seen as analogous to the 2D hyperbolic truncated order-5 square tiling , t{4,5}, with truncated square and pentagonal faces:
In geometry, the order-5 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,5}. Related polyhedra and tiling.
5.10 2: t{5,5} Truncated order-5 hexagonal tiling: 5.12 2: t{6,5} Pentaapeirogonal tiling 5.∞.5.∞ r{∞,5} Order-4 hexagonal tiling: 6 4 {6,4} Order-5 hexagonal ...
The pyramid heights are adjusted to make them coplanar with the other 60 triangular faces of the snub dodecahedron. The result is the pentagonal hexecontahedron. [ 2 ]