WOLFRAM|DEMONSTRATIONS PROJECT

Kepler's Rhombic Solids

​
cube
rhombic dodecahedron
triacontahedron
convex hull
0
show net
Kepler discovered his rhombic solids as the convex hulls of compounds of a Platonic solid and its dual. The rhombic dodecahedron derives from the cube-octahedron compound; the triacontahedron derives from the dodecahedron-icosahedron compound; and the cube from the stella octangula. The nets of the compounds are also shown.