| Vertices: | 10 (8[3] + 2[4]) |
| Faces: | 8 (tri-equiangular kites) |
| Edges: | 16 (8 short + 8 long) |
| Symmetry: | 4-fold Antiprismatic (D4v) |
| Dihedral Angle: | acos(−(2*sqrt(2)−1)/7) | ≈105.141507814 degrees |
| Dual Solid: | Simplest D4v (1 of 2) |
| (values below based on edge-scribed radius = 1) |
| Short Edge (8): | 2*sqrt(3*sqrt(2)−4) | ≈0.98517143100941603869 |
| Long Edge (8): | sqrt(2*sqrt(2)) | ≈1.6817928305074290861 |
| [3]-Vertex Radius (8): | sqrt(3*(sqrt(2)−1)) | ≈1.1147379454918026367 |
| [4]-Vertex Radius (2): | sqrt(1+sqrt(2)) | ≈1.5537739740300373073 |
| Edge-scribed Radius: | 1 |
| Inscribed Radius: | sqrt(7*(3+sqrt(2)))/7 | ≈0.794104487760817733346 |
| Volume: | 16*sqrt(sqrt(2)−1)/3 | ≈3.4325026821631073319 |
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