Compound of small stellated dodecahedron and great dodecahedron
The compound of small stellated dodecahedron and great dodecahedron is a polyhedron compound where the great dodecahedron is internal to its dual, the small stellated dodecahedron.

Great dodecahedron shown solid, surrounding stellated dodecahedron only as wireframe
This can be seen as one of the two three-dimensional equivalents of the compound of two pentagrams ({10/4} "decagram"); this series continues into the fourth dimension as compounds of star 4-polytopes.
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