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dodecadodecahedron

n. (context geometry English) A nonconvex polyhedron with twenty-four faces, thirty vertices, and sixty edges.

Wikipedia
Dodecadodecahedron

In geometry, the dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U. It is the rectification of the small stellated dodecahedron and the great dodecahedron.