Vertices: | 12 (10[3] + 2[5]) |
Faces: | 10 (tri-equiangular kites) |
Edges: | 20 (10 short + 10 long) |
Symmetry: | 5-fold Prismatic (D5h) |
Dihedral Angle: | acos((4−sqrt(5))/11) | ≈80.772355118 degrees |
Dual Solid: | Pentagrammic Antiprism |
(values below based on unit-edge-length Pentagrammic Antiprism) |
Short Edge (10): | sqrt(10*(1+sqrt(5)))/10 | ≈0.56886448100578310728 |
Long Edge (10): | sqrt(2*(sqrt(5)−1))/2 | ≈0.78615137775742328607 |
[5]-Vertex Radius (2): | sqrt(5*(2+sqrt(5)))/10 | ≈0.46022103262996301788 |
[3]-Vertex Radius (10): | sqrt(15*sqrt(5))/10 | ≈0.57914609264413452871 |
Edge-scribed Radius: | sqrt(10*(5+sqrt(5)))/20 | ≈0.42532540417601996609 |
Inscribed Radius: | sqrt(55*(10+3*sqrt(5)))/110 | ≈0.275583710533407196497 |
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