FiveRegularPolyhedra

• tetrahedron (with 4 equilaterally-triangular faces)
  
• cube (with 6 square faces)
  
• octohedron (with 8 equilaterally-triangular faces)
  
• dodecahedron (with 12 regularly-pentagonal faces)
  
• icosahedron (with 20 equilaterally-triangular faces)
  

Although only three which tile the plane - which is proved in the same way as there being five Platonic solids.

OP didn't know the term?  --Vitenka

Maybe OP is insinuating things about the relationships between them? --MJ (*DAR*)

''I did know of the term, but couldn't remember if PlatonicSolids were these or some other subset of polyhedra. Aren't there solids named after some other GreekBloke?? As for the naming of this page, it was just a reification of what I happened to be writing at the time.

ArchimedeanSolids also exist. They use two regular polygons for faces, but still have the constraint that each vertex of the polyhedron must be equal.