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We don't know for certain who discovered the platonic solids first. However, Pythagoras is credited by some sources as discovering the platonic solids first. Other sources credit Theaetetus as being the first to describe all five platonic solids and proving that these are the *only* platonic solids.
Because 6 platonic solids would be too many, and 4 wouldn't be enough
The five platonic solids.
No, a cone is not a Platonic solid. The Platonic solids are the five regular polyhedra: tetrahedron, cube, octahedron, dodecahedron, and icosahedron.
You probably mean the Platonic Solids, they are the only five shapes constructed from the same faces.