Cyclopentachoric tetracomb

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Cyclopentachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCypit
Coxeter diagramx3o3o3o3o3*a ()
Elements
Tera2N pentachora, 2N rectified pentachora
Cells10N tetrahedra, 5N octahedra
Faces20N triangles
Edges10N
VerticesN
Vertex figureSmall prismatodecachoron, edge length 1
Related polytopes
ArmyCypit
RegimentCypit
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
SymmetryP5×2
ConvexYes
NatureTame

The cyclopentachoric tetracomb or cypit, also called the pentachoric-dispentachoric tetracomb, 5-cell honeycomb, or 4-simplex honeycomb is a convex uniform tetracomb. 10 pentachora and 20 rectified pentachora join at each vertex of this tessellation, with a small prismatodecachoron as the vertex figure. It is the 4D simplicial honeycomb.

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