Small hexadecadisoctachoron

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Small hexadecadisoctachoron
Rank4
TypeScaliform
Notation
Bowers style acronymShado
Elements
Cells16 tet
8 cube
8 tepcu
Faces64 triangles
16+32 squares
16 octagons
Edges128 3-fold
32 4-fold
Vertices64
Vertex figureSkew crossed trapezoidal pyramid
Measures (edge length 1)
Circumradius(3+2)/2 ≈ 1.48563
Central density1
Related polytopes
ArmySidpith
RegimentSidpith subregiment
ConjugateGreat hexadecadisoctachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryB2≀S2, order 128
ConvexNo
NatureTame

The small hexadecadisoctachoron or shado is a scaliform polychoron that consists of 16 tetrahedra, 8 cubes, and 8 tetrapod-cut rhombicuboctahedra. 1 tetrahedron, 1 cube, and 3 tetrapod-cut rhombicuboctahedra meet at each vertex.

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

This polychoron is in a subregiment of sidpith, as it has its vertices and some but not all of its edges.

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