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In geometry, the small dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U33. Its vertex figure is a crossed quadrilateral.
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Related polyhedra
It shares its vertex arrangement with the small stellated truncated dodecahedron and the uniform compounds of 6 or 12 pentagrammic prisms. It additionally shares its edge arrangement with the rhombicosidodecahedron (having the triangular and pentagonal faces in common), and with the small rhombidodecahedron (having the decagonal faces in common).
Dual
The dual polyhedron to the small dodecicosidodecahedron is the small dodecacronic hexecontahedron. It is visually identical to the small rhombidodecacron.
References
Small dodecicosidodecahedron Wikipedia(Text) CC BY-SA