Great cubiprismatotesseractihexadecaoctachoron

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Great cubiprismatotesseractihexadecaoctachoron
Rank4
TypeScaliform
Notation
Bowers style acronymGicpatho
Elements
Cells16 tet
32 trip
8+8 cube
8 2-stop-blend
Faces64 triangles
16+32+32+64 squares
16 octagrams
Edges32+32 4-fold
64+64 5-fold
Vertices64
Vertex figureFaceting of triangular podium
Measures (edge length 1)
Circumradius
Related polytopes
ArmyTat
RegimentGittith
ConjugateSmall cubiprismatotesseractihexadecaoctachoron
Abstract & topological properties
OrientableNo
Properties
SymmetryB2≀S2, order 128
ConvexNo
NatureWild

The great cubiprismatotesseractihexadecaoctachoron or gicpatho is a scaliform polychoron that consists of 16 tetrahedra, 32 triangular prisms, 8+8 cubes, and 8 blends of 2 octagrammic prisms. 1 tetrahedron, 3 triangular prisms, 2 cubes, and 3 blends of 2 octagrammic prisms meet at each vertex.

It can be formed as a blend of a great spinoprismatotesseractihexadecachoron and an octagrammic diorthoprism.

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