Small cubiprismatotesseractioctachoron

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Small cubiprismatotesseractioctachoron
Rank4
TypeScaliform
Notation
Bowers style acronymScapto
Elements
Cells32 trip
8+16 cube
8 tepcu
Faces64 triangles
16+32+32+64 squares
16 octagons
Edges32+32 4-fold
64+64 5-fold
Vertices64
Vertex figureFaceting of triangular antipodium
Measures (edge length 1)
Circumradius(3+2)/2 ≈ 1.48563
Related polytopes
ArmySidpith
RegimentSidpith
ConjugateGreat cubiprismatotesseractioctachoron
Abstract & topological properties
OrientableNo
Properties
SymmetryB2≀S2, order 128
ConvexNo
NatureWild

The small cubiprismatotesseractioctachoron or scapto is a scaliform polychoron that consists of 32 triangular prisms, 8+16 cubes, and 8 tetrapod-cut rhombicuboctahedra. 3 triangular prisms, 3 cubes, and 3 tetrapod-cut rhombicuboctahedra meet at each vertex.

It can be formed as a blend of a disprismatotesseract and an octagonal diorthoprism.

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