| Vertices: | 40 (4[3] + 36[3]) |
| Faces: | 22 (12 mirror-symmetric pentagons + 4 regular hexagons
+ 6 bi-mirror-symmetric hexagons) |
| Edges: | 60 (12 short + 24 medium + 24 long) |
| Symmetry: | Full Tetrahedral (Td) |
| (values below based on regular hexagon origin distance = sqrt(3)) |
| Short Edge (12): | sqrt(root[33282*(x^3)−291489*(x^2)
+271784*x−51984]) | ≈0.87584400573467397137 |
| Medium Edge (24): | sqrt(root[18*(x^3)−609*(x^2)+1268*x−676]) | ≈0.99540603829271099818 |
| Long Edge (24): | sqrt(root[(x^3)−80*(x^2)+1104*x−1152]) | ≈1.0656454119579876699 |
| Edge-scribed Radius: | root[(x^3)+9*(x^2)+6*x−54] | ≈1.9625748668573976054 |
| Volume: | root[129*(x^3)−249336*(x^2)
+20950592*x−393872896] | ≈27.986830309852392838 |