Small stelloctagonal cubiexpandiduoprism

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Small stelloctagonal cubiexpandiduoprism
Rank4
TypeScaliform
Notation
Bowers style acronymSisocaxdip
Elements
Cells32 cubes (as 16 stellated octagonal prisms)
64 cubes
16 blends of 5 octagonal prisms
Faces32+128+256 squares
80 octagons
Edges256 3-fold
128 5-fold
128 7-fold
Vertices128
Measures (edge length 1)
Circumradius
Related polytopes
ArmyOadet
RegimentOndip
ConjugateGreat stelloctagonal cubiexpandiduoprism
Abstract & topological properties
OrientableYes
Properties
SymmetryI2(8)≀S2, order 512
ConvexNo
NatureWild

The small stelloctagonal cubiexpandiduoprism, or sisocaxdip, is a nonconvex scaliform polychoron that consists of 32 cubes forming 16 compounds of 2, 64 further cubes, and 16 blends of 5 octagonal prisms. 6 cubes and 4 blends join at each vertex.

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

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