Three compounds of an octahedron and a cube sitting on my desk waiting for me to walk in this morning and admire them. That's a rhombic dodecahedron box to the left, which is the perfect fit for these solids.

Another view of these compound solids. The one made from a single pattern doesn't show off the compound-ness as well as the one on the right, but , really it's a satisfying shape even if you don't know or care about compound solids.

Oops. The cube lost its octahedron protrusions.

The blue patterned compound of the cube and the tetrahedron has hopped into its convex hill, the rhombic dodecahedron box while the cube looks on surrounded by the wayward points of the octahedron.

Another way to fill the rhombic dodecahedron happens to be the convex hull of a compound of an octahedron cube.

#convexhull
#polyhedron
#compoundpolyhedra
#rhombicdodecahedron
#cube
#octahedron