Le Forgeron <jgr### [at] freefr> wrote:
> The base is in fact a dodecaedron...

Yah.
The dodecahedron is dual with the icosahedron, and vice versa.
The octahedron is dual with the cube, and vice versa.
The tetrahedron is dual with itself. And, presumably, vice versa ;-)

http://en.wikipedia.org/wiki/Platonic_solids#Dual_polyhedra

:D

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