Five cubes in a dodecahedron
There are 5 ways to pick out 8 vertices among the 20 vertices of dodecahedron to form a cube (the photo shows the 5 cubes in five different colours). The edges of the cubes are the diagonals of the faces of the dodecahedron and they form a 5-pointed star.
This is the photo of a cardboard model, compare it with a virtual image.
© matematita
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Five cubes in a dodecahedron (3D geometry)