(Redirected from Sobthex)
Rank4
TypeScaliform
SpaceSpherical
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${\displaystyle \frac{\sqrt{10}}{2} \approx 1.58113883}$
Hypervolume${\displaystyle 0}$
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

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

• ${\displaystyle \left(\pm\frac{\sqrt6}{2},\,\pm\frac{\sqrt6}{3},\,\pm\frac{\sqrt6}{6},\,\pm\frac{\sqrt6}{6}\right).}$