Vertices: | 80 (20[3] + 60[4]) |
Faces: | 72 (60 irregular tetragons + 12 regular pentagons) |
Edges: | 150 (60 short + 60 medium + 30 long) |
Symmetry: | Chiral Icosahedral (I) |
Short Edge Angle: | acos(root[10th-order polynomial]) | ≈148.095771634 degrees |
Medium Edge Angle: | acos(root[10th-order polynomial]) | ≈149.702139093 degrees |
Long Edge Angle: | acos(root[10th-order polynomial]) | ≈174.225584688 degrees |
Dual Solid: | Biscribed Propello Icosahedron |
(values below based on inscribed radius = 1) |
Short Edge (60): | sqrt(root[10th-order polynomial]) | ≈0.34805234201669568231 |
Medium Edge (60): | sqrt(root[10th-order polynomial]) | ≈0.393404020281893505949 |
Long Edge (30): | sqrt(root[10th-order polynomial]) | ≈0.66165449307014834821 |
Circumscribed Radius: | sqrt(root[10th-order polynomial]) | ≈1.0545094845254660429 |
Inscribed Radius: | 1 |
Volume: | sqrt(root[10th-order polynomial]) | ≈4.4536332743984569658 |