Hexagonal double antitegmoid
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| Hexagonal double antitegmoid | |
|---|---|
| Rank | 4 |
| Type | Isotopic |
| Elements | |
| Cells | 144 order-5 truncated bi-apiculated tetrahedra |
| Faces | 288 kites, 144 isosceles trapezoids, 288 mirror-symmetric pentagons |
| Edges | 24+144+288+576 |
| Vertices | 24+144+288 |
| Vertex figure | 288 sphenoids, 144 tetragonal disphenoids, 24 hexagonal antitegums |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Hexagonal double antiprismoid |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(12)+≀S2×2, order 576 |
| Convex | Yes |
| Nature | Tame |
The hexagonal double antitegmoid is a convex isochoric polychoron and member of the double antitegmoid family with 144 order-5 truncated bi-apiculated tetrahedra as cells. It is the first in an infinite family of isochoric hexagonal antitegmatic swirlchora.
Each cell of this polychoron has rectangular pyramidal symmetry, with 4 mirror-symmetric pentagons, 2 isosceles trapezoids, and 4 kites for faces.