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