| Vertices: | 10 (10[4]) |
| Faces: | 12 (10 equilateral triangles + 2 regular pentagons) |
| Edges: | 20 (all same length) |
| Symmetry: | 5-fold Antiprismatic (D5v) |
| Pentagon-Triangle Angle: | acos(−sqrt(15*(5−2*sqrt(5)))/15) | ≈100.812316964 degrees |
| Triangle-Triangle Angle: | acos(−sqrt(5)/3) | ≈138.189685104 degrees |
| Dual Solid: | Simplest D5v (2 of 2) |
| (values below based on midscribed radius = 1) |
| Edge Length: | sqrt(5)−1 | ≈1.2360679774997896964 |
| Circumscribed Radius: | sqrt(2*(5−sqrt(5)))/2 | ≈1.1755705045849462583 |
| Midscribed Radius: | 1 |
| Pentagon Center Radius: | sqrt(10*(5−sqrt(5)))/10 | ≈0.52573111211913360603 |
| Triangle Center Radius: | (sqrt(3)+sqrt(15))/6 | ≈0.934172358962715696451 |
| Volume: | 4*sqrt(5)/3 | ≈2.9814239699997195952 |
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