Hexapentakis truncated icosahedron constructed as an augmented truncated icosahedron, adding pyramids to the 20 hexagonal faces, creating 120 new triangular faces. It is visually similar to the chiral snub dodecahedron which has 80 triangles and 12 pentagons. The dual polyhedron can be seen as a "hexatruncated pentakis dodecahedron", a dodecahedron with its faced augmented by pentagonal pyramids (a pentakis dodecahedron), and then its 6-valance vertices truncated. It has similar groups of irregular pentagons as the pentagonal hexecontahedron. Hexapentakis truncated icosahedron The hexapentakis truncated icosahedron is a convex polyhedron constructed as an augmented truncated icosahedron. It is geodesic polyhedron {3,5+}, with pentavalent vertices separated
Truncated dodecahedron straight edges. It shares its vertex arrangement with three nonconvex uniform polyhedra: It is part of a truncation process between a dodecahedron and icosahedron: This polyhedron is topologically related as a part of sequence of uniform truncated polyhedra with vertex configurations (3.2"n".2"n"), and ["n",3] Coxeter group symmetry. In the mathematical field of graph theory, a truncated dodecahedral graph is the graph of vertices and edges of the "truncated dodecahedron", one of the Archimedean solids. It has 60 vertices and 90 edges, and is a cubic Archimedean graph. Truncated dodecahedron In geometry, the truncated dodecahedron is an Archimedean solid. It has