This compound was created using Stella 4d, software you can try for yourself here.
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RobertLovesPi.net 
Truly amazing!
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These polyhedra look incredible. What you should do next is truncate these polyhedra, then find the dual solids. You could keep repeating this process to create more and more polyhedra. Also, some you could dub with different names, and remain truthful. Or you could elongate the polyhedra, find the dual solids, gyro-elongate, find the dual solids again, then finally shorten the centers. The polyhedra will come out differently, and you can dub the result polyhedra with different names. Even just a single compound like this can lead to an infinite number of polyhedra! Also, along the way, you can add to the compounds. Once you start, the process becomes more exciting than out thought.
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