| Vertices: | 8 (4[3] + 4[6]) |
| Faces: | 12 (isosceles triangles) |
| Edges: | 18 (12 short + 6 long) |
| Symmetry: | Full Tetrahedral (Td) |
| Dihedral Angle: | acos(−7/11) | ≈129.521196359 degrees |
| Dual Solid: | Truncated Tetrahedron |
| (values below based on unit-edge-length Truncated Tetrahedron) |
| Short Edge (12): | 9/5 | 1.8 |
| Long Edge (6): | 3 |
| [3]-Vertex Radius (4): | 9*sqrt(6)/20 | ≈1.1022703842524301442 |
| [6]-Vertex Radius (4): | 3*sqrt(6)/4 | ≈1.8371173070873835736 |
| Edge-scribed Radius: | 3*sqrt(2)/4 | ≈1.0606601717798212866 |
| Inscribed Radius: | 9*sqrt(22)/44 | ≈0.95940322360024695434 |
| Volume: | 81*sqrt(2)/20 | ≈5.7275649276110349476 |
| References: | [1] | Eugène Catalan, Mémoire sur la Théorie des Polyèdres,
Journal de l'École polytechnique 41 (1865), 1-71, +7 plates. |
|