icosahedron

vertices | 12 edges | 30 faces | 20 (20 triangles)

1 (30 edges)

(5 ϕ^2)/6≈2.18169

5 sqrt(3)≈8.66025

1/4 sqrt(10 + 2 sqrt(5))≈0.951057

ϕ/2≈0.809017

1/12 (3 sqrt(3) + sqrt(15))≈0.755761

(assuming unit edge length)

{3, 5}

5|2 3

icosahedral graph

regular dodecahedron

dodecahedral graph

icosahedral group

amphichiral | canonical | convex | deltahedron | equilateral | isohedron | Platonic | Platonic dual | rigid | simple | uniform | uniform dual

Plato