The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry.

Home Analytic Geometry 3D Solids Platonic Solids Icosahedron
See also: Platonic Solids - Regular Polyhedra 
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Icosahedron

A regular icosahedron is one of the Platonic solids having 20 equilateral triangular faces.

The volume V of the icosahedron is given by

its surface S is defined by


The radii of the circumscribed (rc) and inscribed (ri) spheres are

= a0.951056516295153572116439...,
and
= a0.75576131407617073048013...
Home Analytic Geometry 3D Solids Platonic Solids Icosahedron

Last Update: 2010-12-06