Square double antitegmoid
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Square double antitegmoid | |
---|---|
Rank | 4 |
Type | Isotopic |
Elements | |
Cells | 64 order-5 truncated bi-apiculated tetrahedra |
Faces | 128 kites, 64 isosceles trapezoids, 128 mirror-symmetric pentagons |
Edges | 16+64+128+256 |
Vertices | 16+64+128 |
Vertex figure | 128 sphenoids, 64 tetragonal disphenoids, 16 square antitegums |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Square double antiprismoid |
Abstract & topological properties | |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(8)+≀S2×2, order 256 |
Convex | Yes |
Nature | Tame |
The square double antitegmoid is a convex isochoric polychoron and member of the double antitegmoid family with 64 order-5 truncated bi-apiculated tetrahedra as cells. It is the first in an infinite family of isochoric square antitegmatic swirlchora.
Each cell of this polychoron has rectangular pyramidal symmetry, with 4 mirror-symmetric pentagons, 2 isosceles trapezoids, and 4 kites for faces.