The term "paragyrate diminished rhombicosidodecahedron" refers to a specific type of geometric polyhedron that is derived from the rhombicosidodecahedron, one of the Archimedean solids. 1. **Rhombicosidodecahedron**: This is a convex polyhedron with 62 faces (20 regular triangles, 30 squares, and 12 regular pentagons), 120 edges, and 60 vertices.
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