Pentachoric tetracomb

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Pentachoric tetracomb
Rank5
Dimension4
TypeRegular, compact
SpaceHyperbolic
Notation
Bowers style acronymPente
Coxeter diagramo5o3o3o3x ()
Schläfli symbol{3,3,3,5}
Elements
Tera120N pentachora
Cells300N tetrahedra
Faces240N triangles
Edges60N
VerticesN
Vertex figureHexacosichoron, edge length 1
Measures (edge length 1)
Circumradius
Related polytopes
ArmyPente
RegimentPente
DualHecatonicosachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
Symmetry[5,3,3,3]
ConvexYes

The pentachoric tetracomb, or pente, is a compact regular tiling of 4D hyperbolic space. 5 pentachora meet at each face, and 600 meet at each vertex, forming a hexacosichoron as the vertex figure.

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