Images for Mathematics

Cubes, pentagons, colours and permutations

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If we take the image of the five cubes in a dodecahedron and consider the part corresponding to a face of the dodecahedron, we see a 5-pointed star (the colours correspond to the various cubes). How many different combinations of colours we can see in the stars (and so in the pentagons in the centre of the stars) corresponding to the 12 faces of the dodecahedron?.
The 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")


Further information:
http://www.toonz.com/personal/todesco


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Matematita