Vertices: | 40 (4[3] + 12[3] + 12[4] + 12[5]) |
Faces: | 40 (4 equilateral triangles + 12 isosceles triangles + 12 irregular tetragons + 12 irregular pentagons) |
Edges: | 78 (6 different lengths) |
Symmetry: | Chiral Tetrahedral (T) |
(values below based on edge-scribed radius = 1) |
Edge 1 (12): | sqrt(root[12th-order polynomial]) | ≈0.41701649777727538548 |
Edge 2 (12): | sqrt(root[12th-order polynomial]) | ≈0.49565866906685583654 |
Edge 3 (12): | sqrt(root[12th-order polynomial]) | ≈0.56709950665957222306 |
Edge 4 (6): | sqrt(root[12th-order polynomial]) | ≈0.59055970678211678790 |
Edge 5 (24): | sqrt(root[12th-order polynomial]) | ≈0.66200054437483317441 |
Edge 6 (12): | sqrt(root[12th-order polynomial]) | ≈0.73344138196754956093 |
Max Vertex Radius: | sqrt(root[12th-order polynomial]) | ≈1.0651216199080822496 |
Edge-scribed Radius: | 1 |
Volume: | root[12th-order polynomial] | ≈4.0081735461591424786 |