Noble faceting of tesseract
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Noble faceting of tesseract | |
---|---|
Rank | 4 |
Type | Noble |
Space | Spherical |
Elements | |
Cells | 32 triangular toroprisms |
Faces | 96 isosceles triangles 48 rectangles |
Edges | 32 3-fold, length 1 48 4-fold, length √2 32 6-fold, length √3 |
Vertices | 16 |
Vertex figure | Polyhedron with 12 wild pentagrams and 14 vertices |
Measures (based on tesseract with edge length 1) | |
Circumradius | |
Volume | |
Related polytopes | |
Army | Tes |
Dual | Noble faceting of rectified tesseract 1 |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | B4, order 384 |
Convex | No |
Nature | Wild |
This noble polychoron is the vertex figure of a noble Euclidean tetracomb in the icositetrachoric tetracomb regiment. The edges are then verfs of triangles, squares, and hexagons, the triangles verfs of truncated octahedra, the rectangles verfs of cuboctahedra, and the cells verfs of icositetrintercepted icositetrachora.