WOLFRAM|DEMONSTRATIONS PROJECT

Construction Based on Kepler's Mysterium Cosmographicum

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show rhombic hexecontahedron
perforate
show rhombic triaontahedron
perforate
uncheck the boxes above to perforate the Platonic solids:
dodecahedron
cuboid
tetrahedron
octahedron
Inspired by Kepler's Mysterium Cosmographicum, this Demonstration shows a nesting of the Platonic solids, the rhombic triaontahedron and rhombic hexecontahedron.