| Vertices: | 10 (10[4]) |
| Faces: | 12 (10 equilateral triangles + 2 regular pentagrams) |
| Edges: | 20 |
| Symmetry: | 5-fold Prismatic (D5h) |
| Pentagram-Triangle Angle: | acos(−sqrt(3*(5−2*sqrt(5)))/3) | ≈114.801100863 degrees |
| Triangle-Triangle Angle: | acos(−(sqrt(5)−2)/3) | ≈94.513232124 degrees |
| Dual Solid: | Pentagrammic Trapezohedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(10*(15+sqrt(5)))/20 | ≈0.65643103174476352783 |
| Midscribed Radius: | sqrt(10*(5+sqrt(5)))/20 | ≈0.42532540417601996609 |
| Pentagram Center Radius: | sqrt(2*(sqrt(5)−1))/4 | ≈0.39307568887871164303 |
| Triangle Center Radius: | sqrt(30*(5+3*sqrt(5)))/60 | ≈0.31235935411663504251 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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