icosahedral symmetry

Platonic solid's balance

Icosahedral symmetry is the rotational symmetry of a twenty-faced polyhedron—the most complex of the regular solids.

Objects with this symmetry look identical from multiple angles, possessing sixty rotational orientations.

The pattern appears in virus capsids, buckminsterfullerene molecules, and geodesic domes: The protein shell displays icosahedral symmetry.

Related

adenovirus · fivefold · vertex · triangle · subgroup · regular polygon · pentagons · Escher · Euler's formula · edge · faces · axes · soccer ball · self-assembly · kaleidoscope · crystallography · tessellation · origami

Opposites
symmetry type/geometric group

icosahedral symmetrybilateral symmetry

Equal halves along midline

degree of symmetry

icosahedral symmetryasymmetry

Absence of balanced form

chirality · anisotropy · randomness · handedness

Family

symmetry, symmetrical, symmetric, icosahedron

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