Quasitruncated hexahedral prism
The quasitruncated hexahedral prism or quithip, is a prismatic uniform polychoron that consists of 2 quasitruncated hexahedra, 6 octagrammic prisms, and 8 triangular prisms. Each vertex joins 1 quasitruncated hexahedron, 1 octagrammic prism, and 2 triangular prisms. As the name suggests, it is a prism based on the quasitruncated hexahedron.
|Quasitruncated hexahedral prism|
|Bowers style acronym||Quithip|
|Coxeter diagram||x x4/3x3o ()|
|Cells||8 triangular prisms, 6 octagrammic prisms, 2 quasitruncated hexahedra|
|Faces||16 triangles, 12+24 squares, 12 octagrams|
|Vertex figure||Sphenoid, edge lengths 1, √2–√2, √2–√2 (base), √2 (legs)|
|Measures (edge length 1)|
|Dichoral angles||Stop–4–stop: 90°|
|Number of external pieces||56|
|Dual||Great triakis octahedral tegum|
|Conjugate||Truncated cubic prism|
|Abstract & topological properties|
|Symmetry||B3×A1, order 96|
The quasitruncated hexahedral prism can be vertex-inscribed into the sphenoverted tesseractitesseractihexadecachoron and the great distetracontoctachoron.
The vertices of a quasitruncated hexahedral prism of edge length 1 are given by all permutations of the first three coordinates of:
- Bowers, Jonathan. "Category 19: Prisms" (#905).
- Klitzing, Richard. "quithip".