The term "metabigyrate rhombicosidodecahedron" describes a specific type of geometric solid that has properties related to both symmetrical transformations and a particular class of polyhedra. 1. **Rhombicosidodecahedron**: This is an Archimedean solid with 62 faces (20 triangular, 30 square, and 12 pentagonal), 120 edges, and 60 vertices.

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