| Vertices: | 40 (4[3] + 12[3] + 12[4] + 12[5]) |
| Faces: | 40 (4 equilateral triangles + 12 isosceles triangles
+ 12 isosceles trapezoids + 12 mirror-symmetric pentagons) |
| Edges: | 78 (6 different lengths) |
| Symmetry: | Full Tetrahedral (Td) |
| (values below based on edge-scribed radius = 1) |
| Edge 1 (12): | 2*(2*sqrt(34)−7*sqrt(2))/19 | ≈0.18551672137673006317 |
| Edge 2 (12): | 2*(119*sqrt(2)−4*sqrt(34))/731 | ≈0.39662819792891137872 |
| Edge 3 (12): | (27*sqrt(34)−85*sqrt(2))/76 | ≈0.48983616261986886270 |
| Edge 4 (12): | 2*sqrt(34)/17 | ≈0.68599434057003534951 |
| Edge 5 (24): | 3*(7*sqrt(34)−17*sqrt(2))/68 | ≈0.74007497221652150587 |
| Edge 6 (6): | (sqrt(34)−3*sqrt(2))/2 | ≈0.79415560386300766223 |
| Max Vertex Radius: | sqrt(17−3*sqrt(17))/2 | ≈1.0759511052026270341 |
| Edge-scribed Radius: | 1 |
| Volume: | 8*(17468873−2437208*sqrt(17))/15041787 | ≈3.9463433350835949301 |