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It has come to my attention that this polyhedron is not "stellated" in the standard sense (en.wikipedia.org), so I'm now calling it the "11/20 triakis tetrahedron". dwrensha/NopertTriakisTetrahedron
New nopert just dropped – and it's a corker! dwrensha/StellatedTetrahedron Via @david
The stellated tetrahedron with vertices [(1,1,1), (1,-1,-1), (-1,1,-1), (-1,-1,1), (-11/20, 11/20, 11/20), (11/20, -11/20, 11/20), (11/20, 11/20, -11/20), (-11/20, -11/20, -11/20)] does not fit through itself! Formal proof: dwrensha/StellatedTetrahedron t.co