vertices | 20 edges | 60 faces | 30 (30 quadrilaterals)

1 (60 edges)

30

sqrt(3)/2≈0.866025

1/sqrt(2)≈0.707107

(assuming unit edge length)

ditrigonal icosidodecahedral graph

five octahedra

icosahedral group

amphichiral | compound | equilateral