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4. Three-parameter model transformations of the Icosahedron faces.

Three parameters are used to transform Icosahedron faces: t - for truncating, q-similarity transformations, α-angle rotation of faces. With these parameters, using the well-known Expansion and Snub operations applied to a polyhedron, you can explore various polyhedra and get a number of Archimedean Solids.

Values of parameters in the polyhedron model defining the well-known polyhedra.

Values of parameters in the polyhedron model defining the well-known polyhedra.