|Bowers style acronym||Hatho|
|Cells||4 tetrahedra, 4 bowtie tegums|
|Faces||16 triangles, 4 squares|
|Vertex figure||Bowtie pyramid, base edge lengths 1 and √, side edge lengths 1|
|Measures (edge length 1)|
|Regiment||Sub-regimental to hex|
|Abstract & topological properties|
|Symmetry||K2≀S2, order 32|
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[edit | edit source]
Its vertices are the same as those of the hexadecachoron.
[edit | edit source]
- Bowers, Jonathan. "Category S1: Simple Scaliforms" (#S8).
- Klitzing, Richard. "hatho".