Snub blended truncated hexadecachoron

Snub blended truncated hexadecachoron
(OFF file)
Rank	4
Type	Scaliform
Space	Spherical
Notation
Bowers style acronym	Sobthex
Elements
Cells	64 oct (as 32 hexagrammic antiprisms) 32 tutut
Faces	128+384 triangles 192 hexagons
Edges	192+384 3-fold 192 5-fold
Vertices	192
Vertex figure	Blend of 2 square pyramids at a lacing edge
Measures (edge length 1)
Circumradius	$\frac{\sqrt{10}}{2} \approx 1.58113883$
Hypervolume	$0$
Related polytopes
Army	Semi-uniform Prit
Regiment	Sobthex
Conjugate	None
Convex core	Triangular-antitegmatic hexacontatetrachoron
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	B4, order 384
Convex	No
Nature	Tame

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:

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

External links

• Bowers, Jonathan. "Category S3: Special Scaliforms" (#S42).