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: | Simplest D5v (1 of 2) |
(values below based on edge-scribed radius = 1) |
Short Edge (10): | 3−sqrt(5) | ≈0.76393202250021030359 |
Long Edge (10): | 2 |
[3]-Vertex Radius (10): | (sqrt(15)−sqrt(3))/2 | ≈1.0704662693192697958 |
[5]-Vertex Radius (2): | sqrt(2*(5+sqrt(5))/2 | ≈1.9021130325903071442 |
Edge-scribed Radius: | 1 |
Inscribed Radius: | sqrt(10*(5+sqrt(5)))/10 | ≈0.85065080835203993218 |
Volume: | 10*(sqrt(5)−1)/3 | ≈4.1202265916659656547 |
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