MathDB
Is this even possible...?

Source:

April 28, 2022

Problem Statement

A rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 2020 regular triangular faces, 3030 square faces, and 1212 regular pentagonal faces, as shown below. How many rotational symmetries does a rhombicosidodecahedron have?
2022 CCA Math Bonanza Lightning Round 4.2