Order-5 dodecahedral honeycomb

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Order-5 dodecahedral honeycomb
Rank4
TypeRegular, compact
SpaceHyperbolic
Notation
Bowers style acronymPedhon
Coxeter diagramx5o3o5o ()
Schläfli symbol{5,3,5}
Elements
CellsN dodecahedra
Faces6N pentagons
Edges6N
VerticesN
Vertex figureIcosahedron, edge length (1+5)/2
Measures (edge length 1)
Circumradius
Related polytopes
ArmyPedhon
RegimentPedhon
DualOrder-5 dodecahedral honeycomb
Abstract & topological properties
OrientableYes
Properties
Symmetry[5,3,5]
ConvexYes

The order-5 dodecahedral honeycomb is a compact regular tiling of 3D hyperbolic space. 5 dodecahedra meet at an edge, and 20 meet at a vertex. It is self-dual.

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