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Final Stellation of Triakis Tetrahedron

This model is the final stellation of the triakistetrahedron.

This picture shows the triakistetrahedron sitting on its final stellation. It fits snuggly in the cup because the faces of the stellation are really just the faces of a triakistetrahedron extended out through a vertex.
I suggest you don't knock your polyhedra to the floor and then stand on them, they tend to get dents in them like this one.

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