Faceted pentachoric tetracomb

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Faceted pentachoric tetracomb
Rank5
TypeRegular, compact
SpaceHyperbolic
Notation
Bowers style acronymFipte
Coxeter diagramo5/2o5o3o3x ()
Schläfli symbol{3,3,5,5/2}
Elements
TeraN hexacosichora
Cells300N tetrahedra
Faces240N triangles
Edges60N
VerticesN
Vertex figureFaceted hexacosichoron, edge length 1
Measures (edge length 1)
Circumradius
Central density5
Related polytopes
ArmyPente
RegimentPente
DualSmall stellated hecatonicosachoric tetracomb
Abstract & topological properties
Schläfli type{3,3,5,5}
OrientableYes
Properties
Symmetry[5,3,3,3]
ConvexNo

The faceted pentachoric tetracomb or fipte, also called the (pentagrammic-order) 600-cell honeycomb, is a compact regular star tiling of 4D hyperbolic space. 5 hexacosichora meet at each face in a pentagrammic arrangement, and 120 meet at each vertex.

It shares its vertices, edges, faces, and cells with the convex pentachoric tetracomb.

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