Vertices: | 120 (60[4] + 60[4]) |
Faces: | 122 (20 equilateral triangles + 30 rhombi + 60 isosceles trapezoids + 12 regular pentagons) |
Edges: | 240 (60 short + 120 medium + 60 long) |
Symmetry: | Full Icosahedral (Ih) |
(values below based on edge-scribed radius = 1) |
Short Edge (60): | sqrt(root[8th-order polynomial]) | ≈0.27241701306694035114 |
Medium Edge (120): | sqrt(root[8th-order polynomial]) | ≈0.32004918707655361359 |
Long Edge (60): | sqrt(root[8th-order polynomial]) | ≈0.36768136108616687603 |
Rhombus Length: | sqrt(root[8th-order polynomial]) | ≈0.48513115900512612294 |
Rhombus Width: | sqrt(root[8th-order polynomial]) | ≈0.41758075525075899434549 |
Rhombus Angle: | acos(root[8th-order polynomial]) | ≈81.441005704 degrees |
Edge-scribed Radius: | 1 |
Volume: | root[8th-order polynomial] | ≈4.1140856926666643344 |