| Vertices: | 28 (4[3] + 12[3] + 12[5]) |
| Faces: | 28 (4 equilateral triangles + 12 isosceles triangles
+ 12 mirror-symmetric pentagons) |
| Edges: | 54 (4 different lengths) |
| Symmetry: | Chiral Tetrahedral (T) |
| (values below based on edge-scribed radius = 1) |
| Edge 1 (12): | 2*sqrt(6*(cbrt(12*(27099+5725*sqrt(69)))
−cbrt(12*(5725*sqrt(69)−27099))−33))/15 | ≈0.28965916191148478684 |
| Edge 2 (12): | 2*sqrt(6*(1175
−cbrt(4*(958374475+183294741*sqrt(69)))
+cbrt(4*(183294741*sqrt(69)−958374475))))/147 | ≈0.61245753461283559803 |
| Edge 3 (12): | 2*sqrt(3*(86−cbrt(4*(17611+1425*sqrt(69)))
−cbrt(4*(17611−1425*sqrt(69)))))/15 | ≈0.67337585517609205726 |
| Edge 4 (18): | 2*sqrt(6*(cbrt(4*(11+3*sqrt(69)))
−cbrt(4*(3*sqrt(69)−11))−1))/3 | ≈1.0570925484406993277 |
| Max Vertex Radius: | sqrt(3*(1+2*cbrt(4*(11+3*sqrt(69)))
−2*cbrt(4*(3*sqrt(69)−11))))/3 | ≈1.1310884863670980997 |
| Edge-scribed Radius: | 1 |
| Volume: | root[3rd-order polynomial] | ≈3.7946854281952148493 |