# Three-parameter model transformations of the Platonic Solids faces

- Author:
- Roman Chijner

- Topic:
- Polygons, Solids or 3D Shapes, Surface

Three parameters are used to transform Platonic Solids 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.
Table of the Archimedean Solids obtained in three-parameter models of transformations of the Platonic Solids faces:
Platonic Solids models → Tetrahedron Octahedron Cube Icosahedron Dodecahedron

__Archimedean Solids__1: Truncated Tetrahedron + 2: Cuboctahedron + + + 3: Truncated Octahedron + + + 4: Truncated Cube + + 5: Rhombicuboctahedron + + 6: Snub Cube + + 7: Icosidodecahedron + + 8: Truncated Cuboctahedron + + 9: Truncated Icosahedron + + 10: Truncated Dodecahedron + + 11: Rhombicosidodecahedron + + 12: Snub Dodecahedron + + 13: Truncated Icosidodecahedron + +## New Resources

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