Sesquitesseractihemioctachoron

Sesquitesseractihemioctachoron
Rank	4
Type	Scaliform
Space	Spherical
Notation
Bowers style acronym	Setho
Elements
Cells	4+8 tetrahedra, 4 bowtie tegums
Faces	16+16 triangles, 4 squares
Edges	4+4+16
Vertices	8
Measures (edge length 1)
Circumradius	$\frac{\sqrt2}{2} ≈ 0.70711$
Related polytopes
Army	Hex
Regiment	Hex
Conjugate	None
Abstract & topological properties
Orientable	No
Properties
Symmetry	K2≀S2, order 32
Convex	No
Nature	Wild

The sesquitesseractihemioctachoron, or setho, is a scaliform polychoron. It has 12 tetrahedra and 4 central bowtie tegums as cells, with 6 tetrahedra and 3 bowtie tegums at each vertex. It can be obtained by blending hex with hatho.

It is in the regiment of the hexadecachoron.

External links

• Bowers, Jonathan. "Category S1: Simple Scaliforms" (#S9).