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 interior to its dual, the small stellated dodecahedron.

Great dodecahedron shown solid, surrounding stellated dodecahedron only as wireframe

This can be seen as the three-dimensional equivalent of the compound of two pentagrams ({10/4} "decagram"); this series continues into the fourth dimension as compounds of star 4-polytopes.

Petrie hexagons of both solids

See also

References

  • Weisstein, Eric W. "Great Dodecahedron-Small Stellated Dodecahedron Compound". MathWorld.


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