Prismatotesseractintercepted tesseractihexadecachoron
(Redirected from Pattinoth)
Prismatotesseractintercepted tesseractihexadecachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Pattinoth |
Elements | |
Cells | 16 octahedra, 24 octagonal prisms, 8 truncated cubes, 8 small rhombicuboctahedra |
Faces | 64+64 triangles, 24+48+96 squares, 48 octagons |
Edges | 96+192 |
Vertices | 96 |
Vertex figure | Inverted wedge, edge lengths 1 (4), √2 (7), and √2+√2 (4) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Sirco–3–oct: 120° |
Sirco–4–sirco: 90° | |
Op–4–op: 90° | |
Sirco–4–op: 90° | |
Tic–3–oct: 60° | |
Tic–8–op: 45° | |
Related polytopes | |
Army | Srit |
Regiment | Srit |
Conjugate | Prismatointercepted tesseractitesseractihexadecachoron |
Convex core | Tesseract |
Abstract & topological properties | |
Flag count | 5760 |
Euler characteristic | 96 |
Orientable | Yes |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Wild |
The prismatotesseractintercepted tesseractihexadecachoron, or pattinoth, is a nonconvex uniform polychoron that consists of 16 octahedra, 8 small rhombicuboctahedra, 8 truncated cubes, and 24 octagonal prisms. One octahedron, two small rhombicuboctahedra, two truncated cubes, and four octagonal prisms join at each vertex.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the small rhombated tesseract.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#145).