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|Bowers style acronym||Sto|
|Cells||8 tetrahedra, 8 truncated tetrahedra, 8 octahemioctahedra|
|Faces||32+32 triangles, 32 hexagons|
|Vertex figure||Crossed triangular cuploid, edge lengths 1 (top triangle and base pseudo-triangle) and √3 (sides)|
|Measures (edge length 1)|
|Dichoral angles||Oho–3–tet: 120°|
|Number of external pieces||248|
|Level of complexity||36|
|Abstract & topological properties|
|Symmetry||D4, order 192|
The small trisoctachoron, or sto, is a nonconvex uniform polychoron that consists of 8 tetrahedra, 8 octahemioctahedra, and 8 truncated tetrahedra. One tetrahedron, three octahemioctahedra, and three truncated tetrahedra join at each vertex.
It also has 8 tetrahedra as pseudofacets.
It is one of two members of the regiment of the rectified tesseract to have only half the symmetry, the other is the great trisoctachoron.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified tesseract.
External links[edit | edit source]
- Bowers, Jonathan. "Category 12: Podiumverts" (#482).
- Klitzing, Richard. "sto".