Chamfered Solids

(box: x-ray)  (F: faces)  (slider: perspective)  (image: L=rotate R=zoom)  (M: metrics)

Chamfered Icosahedron (all edges equal) version 1

Vertices:   72  (60[3] + 12[5]) Faces: 50  (20 equilateral triangles + 30 bi-mirror-symmetric hexagons) Edges: 120  (all same length) Symmetry:   Full Icosahedral  (Ih) (values below based on edge length = 1) Max Vertex Radius:   (2+2*sqrt(5)+sqrt(2*(5+sqrt(5))))/4     ≈2.5690905050450484203 Volume: (195+41*sqrt(5)+6*sqrt(2*(745+229*sqrt(5))))/12     ≈48.960395197105894056