Images for Mathematics

Cube and octahedron

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Cube and octahedron are dual polyhedra: in this position the edges of the cube are perpendicular to the edges of the octahedron in the midpoints. We can dispose the two polyhedra so that the vertices of the cube are the centres of the faces of the octahedron and vice versa.
This 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 cube (*432) (Symmetry)
Posters about polyhedra (From the exhibitions of matematita)