| Vertices: | 7 (1[3] + 3[3] + 3[4]) |
| Faces: | 7 (1 equilateral triangle + 3 isosceles triangles + 3 kites) |
| Edges: | 12 (3 short + 6 medium + 3 long) |
| Symmetry: | 3-fold Pyramidal (C3v) |
| Kite-Kite Angle: | acos(1/11) | ≈84.784091430 degrees |
| Kite-Triangle Angle: | acos(−sqrt(1595*(395−144*sqrt(5)))/1595) | ≈102.3535656054 degrees |
| Triangle-Triangle Angle: | acos(−sqrt(435*(15−4*sqrt(5)))/145) | ≈110.729999407 degrees |
| (values below based on edge-scribed radius = 1) |
| Short Edge (3): | (3*sqrt(30)−5*sqrt(6))/3 | ≈1.3947426704130309709 |
| Medium Edge (6): | 2*(3*sqrt(30)−5*sqrt(6))/5 | ≈1.6736912044956371651 |
| Long Edge (3): | 2*sqrt(30)/5 | ≈2.1908902300206644538 |
| Edge-scribed Radius: | 1 |
| Volume: | 4*(45−11*sqrt(5))/25 | ≈3.2645203596003701343 |