Hemitesseractihemioctachoron

Hemitesseractihemioctachoron
Rank	4
Type	Scaliform
Space	Spherical
Notation
Bowers style acronym	Hatho
Elements
Cells	4 tetrahedra, 4 bowtie tegums
Faces	16 triangles, 4 squares
Edges	4+16
Vertices	8
Vertex figure	Bowtie pyramid, base edge lengths 1 and √2, side edge lengths 1
Measures (edge length 1)
Circumradius	$\frac{\sqrt2}{2} ≈ 0.70711$
Related polytopes
Army	Hex
Regiment	Sub-regimental to hex
Conjugate	None
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	K2≀S2, order 32
Convex	No
Nature	Tame

The hemitesseractihemioctachoron, or hatho, is a scaliform polychoron. It has 4 tetrahedra and 4 central bowtie tegums as cells, with 2 tetrahedra and 3 bowtie tegums at each vertex in the form of a bowtie pyramid. It can be obtained by chopping off two opposite quadrants of a tesseractihemioctachoron, or as a bowtie duotegum as the central tetrahedra degenerate into squares.

It is a faceting of the hexadecachoron, using all its vertices and a subset of its edges.

Vertex coordinates

Its vertices are the same as those of the hexadecachoron.

External links

• Bowers, Jonathan. "Category S1: Simple Scaliforms" (#S8).

• Klitzing, Richard. "hatho".