Prismatointercepted prismatotesseractihexadecachoron
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Prismatointercepted prismatotesseractihexadecachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Pinpith |
Elements | |
Cells | 32 triangular prisms, 16 octahedra, 24 octagonal prisms, 8 small cubicuboctahedra |
Faces | 64+64 triangles, 24+48+96 squares, 48 octagons |
Edges | 96+192 |
Vertices | 96 |
Vertex figure | Windowed wedge, edge lengths 1 (4), √2 (7), and √2+√2 (4) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Oct–3–trip: 150° |
Socco–8–op: 135° | |
Socco–3–oct: 120° | |
Socco–4–socco: 90° | |
Op–4–op: 90° | |
Central density | Trip–4–op: |
Related polytopes | |
Army | Srit |
Regiment | Srit |
Conjugate | Disprismatointercepted tesseractihexadecachoron |
Convex core | Chamfered tesseract |
Abstract & topological properties | |
Flag count | 5760 |
Euler characteristic | 72 |
Orientable | Yes |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Wild |
The prismatointercepted prismatotesseractihexadecachoron, or pinpith, is a nonconvex uniform polychoron that consists of 16 octahedra, 8 small cubicuboctahedra, 32 triangular prisms, and 24 octagonal prisms. One octahedron, two small cubicuboctahedra, two triangular prisms, 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" (#146).
- Klitzing, Richard. "pinpith".