The polyhedron above is the 12th stellation of the truncated cube. The one below is the 14th.
The next one shown is the 18th and final stellation. If stellated again, the result is an ordinary truncated cube.
These virtual models were made using Stella 4d, software you may try for yourself at http://www.software3d.com/Stella.php.
Happy New Year Robert to you and your family. May you continue to delight us with your stellations and insights on the world.
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