Small cupolic cubitesseractihexadecachoron

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Small cupolic cubitesseractihexadecachoron
Rank4
TypeScaliform
Notation
Bowers style acronymScucoth
Elements
Cells16 tet
8+16 cube
16 squacu (as 8 compounds of 2)
Faces64 triangles
16+32+64 squares
8 octagons
Edges32+64 3-fold
64 4-fold
32 5-fold
Vertices64
Vertex figureFaceting of triangular antipodium
Measures (edge length 1)
Circumradius(3+2)/2 ≈ 1.48563
Central density1
Related polytopes
ArmySidpith
RegimentSidpith
ConjugateGreat cupolic cubitesseractihexadecachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryB2≀S2, order 128
ConvexNo
NatureWild

The small cupolic cubitesseractihexadecachoron or scucoth is a scaliform polychoron that consists of 16 tetrahedra, 8+16 cubes, and 16 square cupolas which are in pairs that are a blend of a rhombicuboctahedron with an octagonal prism. 1 tetrahedron, 3 cubes, and 3 square cupolas meet each vertex.

It can be formed as a blend of a small tesseractifaceted cubitesseractihexadecachoron and an octagonal diorthoprism.

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