Platonic Solids. Level: High School, SAT Prep, College geometry

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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. There are only five platonic solids.

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.

 

 
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Last updated: August 12, 2007