| Vertices: | 20 (4[6] + 4[6] + 12[6]) |
| Faces: | 30 ({12 + 6} rectangles + 12 isosceles trapezoids) |
| Edges: | 60 (5 different lengths) |
| Symmetry: | Full Tetrahedral (Td) |
| Dual Toroid: | Regular Map {6,4}10 |
| (values below based on integer coordinates) |
| Edge 1 (18): | 2*sqrt(2) | ≈2.8284271247461900976 |
| Edge 2 (12): | sqrt(43) | ≈6.5574385243020006523 |
| Edge 3 (12): | 5*sqrt(3) | ≈8.6602540378443864676 |
| Edge 4 (12): | 10*sqrt(2) | ≈14.142135623730950488 |
| Edge 5 (6): | 18*sqrt(2) | ≈25.455844122715710878 |
| Volume: | 608 [EXACT] |
| References: | [1] | Egon Schulte and Jörg M. Wills, On Coxeter's regular skew
polyhedra, Discrete Mathematics 60 (1986), 253-262. |
|