It means coming from the works of the Greek philosopher Plato. It is usually used in two expressions: "Platonic love" or "Platonic friendship" which means a loving or friendly relationship with no sexual aspect to it whatsoever, and "Platonic solid" which means a three-dimensional geometrical object entirely made up of identical regular plane surfaces.
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My Platonic Sweetheart was created in 1912.
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.
The book called Platonic Solids: The experience
There are different numbers on the different platonic solids.