Faceted rectified tesseract
Jump to navigation
Jump to search
Faceted rectified tesseract | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Firt |
Coxeter diagram | x3x3o3o3/2*a () |
Elements | |
Cells | |
Faces | 64 triangles, 32 hexagons |
Edges | 96 |
Vertices | 32 |
Vertex figure | Triangular retroprism, edge lengths 1 (base) and √3 (sides) |
Edge figure | tet 3 tut 6 tut 6 tut 3 |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angle | Tet–3–tut: 60° Tut–6–tut: 60° |
Central density | 4 |
Number of external pieces | 368 |
Level of complexity | 23 |
Related polytopes | |
Army | Rit |
Regiment | Rit |
Conjugate | None |
Convex core | Hexadecachoron |
Abstract & topological properties | |
Flag count | 1536 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | B4, order 384 |
Flag orbits | 4 |
Convex | No |
Nature | Tame |
The faceted rectified tesseract, or firt, is a nonconvex uniform polychoron that consists of 16 regular tetrahedra and 16 truncated tetrahedra. Two tetrahedra and six truncated tetrahedra join at each vertex.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified tesseract.
External links[edit | edit source]
- Bowers, Jonathan. "Category 3: Triangular Rectates" (#43).
- Klitzing, Richard. "firt".