Small stelloctagonal expandiduoprism

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Small stelloctagonal expandiduoprism
Rank4
TypeScaliform
Notation
Bowers style acronymSisoxdip
Elements
Cells64 tetrahedra
16 blends of 2 small cubicuboctahedra and octagonal prism
Faces256 triangles
32 squares
80 octagons
Edges128+384 3-fold
Vertices128
Measures (edge length 1)
Circumradius
Related polytopes
ArmyOadet
RegimentOndip
ConjugateGreat stelloctagonal expandiduoprism
Abstract & topological properties
OrientableYes
Properties
SymmetryI2(8)≀S2, order 512
ConvexNo
NatureTame

The small stelloctagonal expandiduoprism, or sisoxdip, is a nonconvex scaliform polychoron that consists of 64 regular tetrahedra and 16 blends of 2 small cubicuboctahedra and octagonal prism. 2 tetrahedra and 4 blends join at each vertex.

It is constructed as a blend of 2 steth and 2 shado, or alternatively 4 steth and 4 sodip. It has the same symmetry as the octagonal duoprism.

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