| Vertices: | 12 (10[3] + 2[5]) |
| Faces: | 10 (tri-equiangular kites) |
| Edges: | 20 (10 short + 10 long) |
| Symmetry: | 5-fold Antiprismatic (D5v) |
| Dihedral Angle: | acos(−sqrt(5)/5) | ≈116.565051177 degrees |
| Dual Solid: | Pentagonal Antiprism |
| (values below based on unit-edge-length Pentagonal Antiprism) |
| Short Edge (10): | (sqrt(5)−1)/2 | ≈0.61803398874989484820 |
| Long Edge (10): | (1+sqrt(5))/2 | ≈1.6180339887498948482 |
| [3]-Vertex Radius (10): | sqrt(3)/2 | ≈0.86602540378443864676 |
| [5]-Vertex Radius (2): | sqrt(5+2*sqrt(5))/2 | ≈1.5388417685876267013 |
| Edge-scribed Radius: | (1+sqrt(5))/4 | ≈0.80901699437494742410 |
| Inscribed Radius: | sqrt(5*(5+2*sqrt(5)))/10 | ≈0.68819096023558676910 |
| Volume: | 5*(3+sqrt(5))/12 | ≈2.181694990624912373504 |
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