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Icosahedron

Visual representation

Alternate name

Combinatorial properties

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

Edge lengths

1 (30 edges)

Geometric properties

(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)

Schläfli symbol

{3, 5}

Wythoff symbol

5|2 3

Net

Skeleton graph

icosahedral graph

Dual polyhedron

regular dodecahedron

Dual skeleton graph

dodecahedral graph

Symmetry group

icosahedral group

Properties

Associated person

Plato