Great rotational 8-3 double step prism
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|Great rotational 8-3 double step prism|
|Cells||16+16 irregular tetrahedra, 8+8+16 phyllic disphenoids, 16 sphenoids|
|Faces||16+16+16+16+16+16+16+16 scalene triangles, 16 isosceles triangles, 16 triangles|
|Vertex figure||12-vertex polyhedron with 20 triangular faces|
|Measures (edge length 1)|
|Dual||Great rotational 8-3 bigyrochoron|
|Abstract & topological properties|
|Symmetry||S2(I2(8)+-3)×2, order 16|
The great rotational 8-3 double step prism is a convex isogonal polychoron that consists of 16 sphenoids, 32 phyllic disphenoids of three kinds and 32 irregular tetrahedra of two kinds. 4 sphenoids, 8 phyllic disphenoids and 8 irregular tetrahedra join at each vertex. It can be obtained as one of several polychora formed as the convex hull of two orthogonal 8-3 step prisms.
This polychoron cannot be optimized using the ratio method, because the solutions lead to degenerate polytopes or the tesseract instead.
External links[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".