Images for Mathematics

Dodecahedron and icosahedron

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Dodecahedron and icosahedron are dual polyhedra: in this position the edges of the dodecahedron are perpendicular to the edges of the icosahedron in the midpoints. We can also dispose the two polyhedra so that the vertices of the dodecahedron are the the centres of the faces of the icosahedron and vice versa.
The image has been used in the posters on polyhedra realized for the exhibition Simmetria, giochi di specchi - Symmetry, playing with mirrors.

The image belongs to the sections...:
Duality (3D geometry)
The symmetry group of the dodecahedron (*532) (Symmetry)
Posters about polyhedra (From the exhibitions of matematita)