Crystal Platonic solid sets

A platonic solid is a three-dimensional shape whose faces are all congruent regular polygons (two-dimensional shapes bounded by straight line segments) where the same number of faces meet at every angle. 

Tetrahedron (three triangles meet at each vertex)
Octahedron (four triangles meet at each vertex)
Icosahedron (five triangles meet at each vertex)
Hexahedron or Cube (three squares meet at each vertex)
Dodecahedron (three pentagons meet at each vertex) -