The Greek philosopher, Plato, after whom they are named!
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Euclid was the one who proved that there are only five platonic solids.
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.