| Vertices: | 12 (4[3] + 4[4] + 4[4]) |
| Faces: | 12 (4 isosceles triangles + 8 tri-equiangular kites) |
| Edges: | 22 (12 short + 10 long) |
| Symmetry: | 2-fold Rotoreflection (S4) |
| Kite-Kite Angle: | acos(−(4*sqrt(5)−5)/11) | ≈111.012411431 degrees |
| Kite-Triangle Angle: | acos(−sqrt(209*(197−52*sqrt(5)))/209) | ≈128.4245321049 degrees |
| (values below based on edge-scribed radius = 1) |
| Short Edge (12): | 2*sqrt(5*(sqrt(5)−1))/5 | ≈0.99441157575715688022 |
| Long Edge (10): | 2*sqrt(2*(sqrt(5)−2)) | ≈1.3742429988900498566 |
| [3]-Vertex Radius (4): | sqrt(5*(1+2*sqrt(5)))/5 | ≈1.04614874229237396649 |
| [4]-Vertex Radius (8): | sqrt(2*sqrt(5)−3) | ≈1.2133160985495821702 |
| Kite Plane Radius: | sqrt(11*(3+2*sqrt(5)))/11 | ≈0.82418753134110417769 |
| Triangle Plane Radius: | sqrt(95*(2*sqrt(5)−1))/19 | ≈0.95588701641866861939 |
| Edge-scribed Radius: | 1 |
| Volume: | 8*sqrt(5)/5 | ≈3.5777087639996635143 |