Swirlprismatodiminished rectified tesseract
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Swirlprismatodiminished rectified tesseract | |
---|---|
Rank | 4 |
Type | Isogonal |
Notation | |
Bowers style acronym | Spidrit |
Elements | |
Cells | 8 triangular prisms, 8 chiral rectified triangular prisms |
Faces | 24 isosceles triangles, 16 triangles, 24 rectangles |
Edges | 24+48 |
Vertices | 24 |
Vertex figure | Bilaterally-symmetric wedge |
Measures (derived from unit-edged rectified tesseract) | |
Edge lengths | Short edge (48): 1 |
Long edge (24): | |
Circumradius | |
Central density | 1 |
Related polytopes | |
Dual | Swirlprismatostellated joined hexadecachoron |
Abstract & topological properties | |
Flag count | 864 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A3●K2, order 48 |
Convex | Yes |
Nature | Tame |
The swirlprismatodiminished rectified tesseract or spidrit is an isogonal polychoron with 8 chiral rectified triangular prisms, 8 triangular prisms, and 24 vertices. 3 chiral rectified triangular prisms and 2 triangular prisms join at each vertex. It can be constructed by removing the 8 vertices of an inscribed hexadecachoron of edge length from a rectified tesseract. In doing so the cuboctahedral cells have 3 vertices removed, and additional triangular prisms come in as the original's vertex figures.
The ratio between the longest and shortest edges is 1: ≈ 1:1.41421.