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|Bowers style acronym||Pinnip|
|Cells||10 triangular prisms, 5 octahedra|
|Faces||10+20 triangles, 15 squares|
|Vertex figure||Triangular toroprism, edge lengths 1 (edges of squares) and √2 (long edges of triangles)|
|Edge figure||oct 3 oct 3 trip 4 trip 4 trip 3|
|Measures (edge length 1)|
|Number of pieces||25|
|Level of complexity||6|
|Convex core||Joined pentachoron|
|Symmetry||A4, order 120|
The prismatointercepted pentachoron, or pinnip, is a nonconvex uniform polychoron that consists of 5 regular octahedra and 10 triangular prisms. 3 octahedra and 6 triangular prisms join at each vertex.
It is the simplest wild uniform polytope. It is wild because it has octahedra with squares intercepting them.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified pentachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 3: Triangular Rectates" (#41).
- Klitzing, Richard. "pinnip".