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Platonic Solids, Theaetetus's Theorem, Euler's Polyhedron Theorem

Platonic Solids:
In perfect form, they dwell,
Platonic solids, pristine,
Five noble siblings,
With faces, edges, and vertices,
Geometry's divine symphony.

Platonic Solids

Exploring Platonic Solids using HTML5 Animation

Theaetetus' Theorem (ca. 417 B.C. – 369 B.C.) There are precisely five regular convex polyhedra or Platonic solid.

A platonic solid is a polyhedron all of whose faces are congruent regular polygons, and where the same number of faces meet at every vertex. A polyhedron is a solid figure bounded by plane polygons or faces.

The Greek philosopher Plato described the solids in detail in his book "Timaeus" and assigned the items to the Platonic conception of the world, hence today they are well-known under the name "Platonic Solids."

Euler's polyhedron theorem: F + V = E + 2, where F, V, E are the number of faces, vertices, and edges in the polyhedron.

Home | Solid Geometry | Classical Theorems | Email | by Antonio Gutierrez
Last updated: Mar 9, 2023