Truncated order-5 dodecahedral honeycomb

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Truncated order-5 dodecahedral honeycomb
Rank4
TypeUniform, compact
SpaceHyperbolic
Notation
Bowers style acronymTipped
Coxeter diagramx5x3o5o ()
Elements
CellsN icosahedra, N truncated dodecahedra
Faces20N triangles, 6N decagons
Edges6N+30N
Vertices12N
Vertex figurePentagonal pyramid, edge lengths 1 (bse) and (5+5)/2 (sides)
Measures (edge length 1)
Circumradius
Related polytopes
ArmyTipped
RegimentTipped
Abstract & topological properties
OrientableYes
Properties
Symmetry[5,3,5]
ConvexYes

The truncated order-5 dodecahedral honeycomb is a compact uniform tiling of 3D hyperbolic space. 1 icosahedron and 5 truncated dodecahedra meet at each vertex. As the name suggests, it can be derived by truncation of the order-5 dodecahedral honeycomb.

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