| Vertices: | 10 (1[3] + 3[3] + 3[3] + 3[5]) |
| Faces: | 10 (1 equilateral triangle + {3 * 2} isosceles triangles
+ 3 mirror-symmetric pentagons) |
| Edges: | 18 (5 different lengths) |
| Symmetry: | 3-fold Pyramidal (C3v) |
| (values below based on edge-scribed radius = 1) |
| Edge 1 (3): | 2*(2*sqrt(30)−3*sqrt(6))/11 | ≈0.65563307668250690446 |
| Edge 2 (3): | (13*sqrt(30)−25*sqrt(6))/11 | ≈0.90606262782655839041 |
| Edge 3 (3): | 2*(4*sqrt(30)−5*sqrt(6))/15 | ≈1.2881938115054338730 |
| Edge 4 (6): | 2*(3*sqrt(30)−5*sqrt(6))/5 | ≈1.6736912044956371651 |
| Edge 5 (3): | 2*sqrt(30)/5 | ≈2.1908902300206644538 |
| Edge-scribed Radius: | 1 |
| Volume: | 4*(16711−4933*sqrt(5))/6655 | ≈3.4142609568706460872 |