Order-5 tesseractic tetracomb

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Order-5 tesseractic tetracomb
Rank5
Dimension4
TypeRegular, compact
SpaceHyperbolic
Notation
Bowers style acronymPitest
Coxeter diagramo5o3o3o4x ()
Schläfli symbol{4,3,3,5}
Elements
Tera75N tesseracts
Cells300N cubes
Faces360N squares
Edges120N
Vertices2N
Vertex figureHexacosichoron, edge length 2
Measures (edge length 1)
Circumradius
Related polytopes
ArmyPitest
RegimentPitest
DualOrder-4 hecatonicosachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
Symmetry[5,3,3,4]
ConvexYes

The order-5 tesseractic tetracomb, or pitest, is a compact regular tiling of 4D hyperbolic space. 5 tesseracts meet at each face, and 600 meet at each vertex, forming a hexacosichoron as the vertex figure.

This tetracomb can be alternated into a hexadecachoric-hexacosichoric tetracomb, which is uniform.

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