Snub blended truncated hexadecachoron

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Snub blended truncated hexadecachoron
Rank4
TypeScaliform
Notation
Bowers style acronymSobthex
Elements
Cells64 oct (as 32 hexagrammic antiprisms)
32 tutut
Faces128+384 triangles
192 hexagons
Edges192+384 3-fold
192 5-fold
Vertices192
Vertex figureBlend of 2 square pyramids at a lacing edge
Measures (edge length 1)
Circumradius
Hypervolume
Related polytopes
ArmySemi-uniform Prit
RegimentSobthex
ConjugateNone
Convex coreTriangular-antitegmatic hexacontatetrachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

The snub blended truncated hexadecachoron or sobthex is a scaliform polychoron. It consists of 64 octahedra (falling into pairs in the same hyperplanes, forming 32 hexagrammic antiprisms) and 32 blends of 2 truncated tetrahedra.

Vertex coordinates[edit | edit source]

The vertices of a snub blended truncated hexadecachoron of edge length 1 are given by all permutations of:

External links[edit | edit source]