| Vertices: | 10 (10[3]) |
| Faces: | 7 (5 squares + 2 regular pentagrams) |
| Edges: | 15 |
| Symmetry: | 5-fold Prismatic (D5h) |
| Pentagram-Square Angle: | acos(0) | 90 degrees |
| Square-Square Angle: | acos((1+sqrt(5))/4) | 36 degrees |
| Dual Solid: | Pentagrammic Dipyramid |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(5*(15−2*sqrt(5)))/10 | ≈0.7255296012224594481498 |
| Midscribed Radius: | sqrt(10*(5−sqrt(5)))/10 | ≈0.52573111211913360603 |
| Pentagram Center Radius: | 1/2 | 0.5 |
| Square Center Radius: | sqrt(5*(5−2*sqrt(5)))/10 | ≈0.16245984811645316308 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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