Icosahedral honeycomb

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Icosahedral honeycomb
Rank4
TypeRegular, compact
SpaceHyperbolic
Notation
Bowers style acronymIkhon
Coxeter diagramx3o5o3o ()
Schläfli symbol{3,5,3}
Elements
CellsN icosahedra
Faces10N Triangles
Edges10N
VerticesN
Vertex figureDodecahedron, edge length 1
Measures (edge length 1)
Circumradius
Related polytopes
ArmyIkhon
RegimentIkhon
DualOrder-3 icosahedral honeycomb
Abstract & topological properties
OrientableYes
Properties
Symmetry[3,5,3]
ConvexYes

The order-3 icosahedral honeycomb, or just icosahedral honeycomb or ikhon, is a compact regular tiling of 3D hyperbolic space. 3 icosahedra meet at an edge, and 12 meet at a vertex. It is self-dual.

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