Plato

Greek philosopher (c. 428–348 BCE), founder of the Academy and author of the dialogues that shaped the whole of Western philosophy.

In the Timaeus, Plato gave a geometric cosmology: a divine craftsman (the demiurge) fashions the world from the five regular solids, assigning four to the elements — the shapes that have carried his name as the "Platonic solids" ever since.

Relationship to Fuller

Relationship: forebear. Plato is a classical forebear of R. Buckminster Fuller's geometry of nature. The five regular polyhedra Plato tied to the structure of matter — tetrahedron, cube, octahedron, dodecahedron, icosahedron — are foundational to Fuller's synergetics, where the tetrahedron is the minimum system and the polyhedra organize his account of energy and structure. Plato's conviction that the cosmos is built on geometric form is the ancient root of the same conviction Fuller made experimental and operational; he inherits and reworks the Platonic idea rather than sharing Plato's idealism.

See Also

• Regular Polytopes (Regular Polytopes) — the modern mathematics of the Platonic and higher solids
• Euclid (Euclid) — the geometer who systematized the solids Plato named
• Pythagoras (Pythagoras) — the number-and-form tradition Plato inherited

Sources

• Demiurge (source reference) — the Platonic geometric cosmology (Timaeus) in the corpus's philosophy discussion