Small blendic trisnub prismatodistetracontoctachoron

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Small blendic trisnub prismatodistetracontoctachoron
Rank4
TypeScaliform
Elements
Cells96 tet as 48 so, 288 tet, 192 trip, 288 cube, 288 tutrip
Faces384+1152 triangles, 576+1152 squares
Edges576+576+1152
Vertices384
Vertex figureBlend of 4 triangular antipodia
Measures (edge length 1)
Circumradius
HypervolumeUndefined
Related polytopes
ArmyBitec
Regiment"Tetrasidpith"
ConjugateBlend of 24 quasidisprismatotesseractihexadecachora
Abstract & topological properties
OrientableNo
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureTame

The small blendic trisnub prismatodistetracontoctachoron or sabtaspiddic is a scaliform polychoron, consisting of 96 tetrahedra pairing up to form 48 stellated octahedra, 288 more tetrahedra, 192 triangular prisms, 288 cubes, and 288 blends of 2 triangular prisms. It can be constructed by blending 24 small disprismatotesseractihexadecachora (one set of 6 and another of 18).

It leads a scaliform regiment known as the tetrasidpiths, the name is due to the vertex figure being a blend of 4 sidpith verfs. The regiment contains 24 known proper scaliform polychora, 2 fissary scaliforms, 2 scaliform compounds (18-scucoth and 18-caco), a mixed compound, and 9 coincidic members.

Vertex coordinates[edit | edit source]

The vertices of a small blendic trisnub prismatodistetracontoctachoron of edge length 1 are given by all permutations of:

The third set of vertices are identical to the vertices of an inscribed small disprismatotesseractihexadecachoron.