Snub hexecontatetrasnub-snub disoctachoron
|Snub hexecontatetrasnub-snub disoctachoron|
|Bowers style acronym||Siggissido|
|Cells||192 tetrahedra, 64+96 octahedra, 8 icosahedra, 8 great icosahedra|
|Vertex figure||Blend of pentagrammic cuploid and retropentagonal cuploid, edge length 1|
|Measures (edge length 1)|
|Conjugate||Snub hexecontatetrasnub-snub disoctachoron|
|Abstract & topological properties|
|Symmetry||B4/2, order 192|
The snub hexecontatetrasnub-snub disoctachoron, or siggissido, is a nonconvex uniform polychoron that consists of 8 icosahedra, 8 great icosahedra, 64+96 regular octahedra, and 192 tetrahedra. 1 icosahedron, 1 great icosahedron, 4+6 octahedra, and 8 tetrahedra join at each vertex.
This polychoron has pyritotesseractic symmetry, with the icosahedra and great icosahedra acting as snub tetrahedra. It can be thought as a kind of sub-symmetrical faceting of the small stellated hecatonicosachoron. With all of its cells geometrically regular, it can be considered a semiregular polychoron.
It was discovered on January 28, 2021, by Polytope Discord user _Geometer. Following the discovery of six uniforms the previous year its discovery led to the find of several hundred additional uniforms in the same regiment.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices of a snub hexecontatetrasnub-snub disoctachoron of edge length 1, centered at the origin, are given by all even permutations of:
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1856).