Order-5 hecatonicosachoric tetracomb

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Order-5 hecatonicosachoric tetracomb
Rank5
Dimension4
TypeRegular, compact
SpaceHyperbolic
Notation
Bowers style acronymPhitte
Coxeter diagramx5o3o3o5o ()
Schläfli symbol{5,3,3,5}
Elements
TeraN hecatonicosachora
Cells60N dodecahedra
Faces144N pentagons
Edges60N
VerticesN
Vertex figureHexacosichoron, edge length (1+5)/2
Measures (edge length 1)
Circumradius
Related polytopes
ArmyPhitte
RegimentPhitte
DualOrder-5 hecatonicosachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
Symmetry[5,3,3,5]
ConvexYes

The order-5 hecatonicosachoric tetracomb, or phitte, is a compact regular tiling of 4D hyperbolic space. 5 hecatonicosachora meet at each face, and 600 meet at each vertex, forming a hexacosichoron as the vertex figure. It is self-dual.

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