Small disdisantiprismatosnub disprismatosnub dicupolisnub dodecakishecatonicosachoron

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Small disdisantiprismatosnub disprismatosnub dicupolisnub dodecakishecatonicosachoron
Rank4
TypeScaliform
Notation
Bowers style acronymSiddapsiddip sidducstwy
Elements
Cells1440 pentagrammic prisms (as 120 great disrhombidodecahedra)
1440 pentagonal antiprisms (as 720 compounds of 2)
1440 pentagrammic retroprisms (as 720 compounds of 2)
1440 pentagonal cupolaic blends (as 720 compounds of 2)
14400 triangular prisms (as 7200 compounds of 2)
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSiddapsiddip sidducstwy
ConjugateGreat disdisantiprismatosnub disprismatosnub dicupolisnub dodecakishecatonicosachoron
Properties
SymmetryH4, order 14400
ConvexNo

The small disdisantiprismatosnub disprismatosnub dicupolisnub dodecakishecatonicosachoron, or siddapsiddip sidducstwy, is a nonconvex scaliform polychoron that consists 120 great disrhombidodecahedra, 720 compounds of two pentagonal antiprisms, 720 compounds of two pentagrammic retroprisms, 720 blends of two pentagonal cupolae, and 7200 compounds of two triangular prisms.

This polychoron can be obtained as the blend of 10 small swirlprismatic hexacositrishecatonicosicupolidishecatonicosachora. In the process some of the pentagonal cupolae blend on their decagons, while the other cells compound as noted above.

It was discovered by _Geometer in 2021.

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