Vertices: | 12 (10[4] + 2[10]) |
Faces: | 20 (isosceles triangles) |
Edges: | 30 (10 short + 20 long) |
Symmetry: | 10-fold Prismatic (D10h) |
Dihedral Angle: | acos(−(15+4*sqrt(5))/29) | ≈145.655924299 degrees |
Dual Solid: | Simplest D10h (2 of 2) |
(values below based on edge-scribed radius = 1) |
Short Edge (10): | 2*sqrt(5*(5−2*sqrt(5)))/5 | ≈0.64983939246581265231 |
Long Edge (20): | 2*sqrt(10*(5+sqrt(5)))/5 | ≈3.4026032334081597287 |
[4]-Vertex Radius (10): | sqrt(10*(5−sqrt(5)))/5 | ≈1.0514622242382672121 |
[10]-Vertex Radius (2): | 1+sqrt(5) | ≈3.2360679774997896964 |
Edge-scribed Radius: | 1 |
Inscribed Radius: | sqrt(58*(11+sqrt(5)))/29 | ≈0.95542256322023833806 |
Volume: | 4*sqrt(10*(5−sqrt(5)))/3 | ≈7.0097481615884480803 |
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