Images for Mathematics

Five cubes in a dodecahedron

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We can pick out 8 vertices among the 20 vertices of a dodecahedron so that they can be the vertices of a cube; indeed, there are five ways to do that and this image shows the 5 cubes that have their vertices in the vertices of a dodecahedron in five different colours. The edges of the cubes are the diagonals of the faces of the dodecahedron.
Compare this virtual image with the photo of a cardboard model.
This image appeared in the survey "Officina della matematica", in the number 1 of the magazine XlaTangente.

The image belongs to the sections...:
Five cubes in a dodecahedron (3D geometry)
Number 1 (From "XlaTangente")

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