| Vertices: | 13 (4[3] + 1[4] + 4[4] + 4[4]) |
| Faces: | 13 (4 isosceles triangles + 1 square + {4 * 2} kites) |
| Edges: | 24 (4 different lengths) |
| Symmetry: | 4-fold Pyramidal (C4v) |
| (values below based on edge-scribed radius = 1) |
| Edge 1 (8): | sqrt(root[8th-order polynomial]) | ≈1.0132673366177729053 |
| Edge 2 (4): | sqrt(root[8th-order polynomial]) | ≈1.0535716574058237044 |
| Edge 3 (4): | sqrt(root[8th-order polynomial]) | ≈1.1350416346634254591 |
| Edge 4 (8): | sqrt(root[8th-order polynomial]) | ≈1.2164915081222890749 |
| Edge-scribed Radius: | 1 |
| Volume: | root[8th-order polynomial] | ≈3.6591794194852029472 |