Platonic Solids

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Information about Platonic Solids

Published on December 5, 2007

Author: krillion

Source: slideshare.net

Platonic Solids © Kristen A. Treglia 2007

They were named such because they were known at the time of Plato (circa 427-347 BC) "Let early education be a sort of amusement. You will then be better able to find out the natural bent." ~Plato

What are they? Convex polyhedra with equivalent faces composed of congruent convex regular polygons Polyhedra: closed solid figure, consisting of four or more planar faces, pairs of which meet at the edges. At least 3 faces must meet at the vertices.

Convex polyhedra with equivalent faces composed of congruent convex regular polygons

Polyhedra: closed solid figure, consisting of four or more planar faces, pairs of which meet at the edges. At least 3 faces must meet at the vertices.

The word polyhedron comes from the Greek poly (many) and the Indo-European hedron (seat). Euler Polyhedron Formula F – E + V = 2 Polyhedra

The word polyhedron

comes from the

Greek poly (many) and

the Indo-European

hedron (seat).

Euler Polyhedron Formula

F – E + V = 2

In Timaeus , Plato named all five and drew a direct connection between the platonic solids and the elements of:

Tetrahedron Fire Cube Earth Octahedron Air Icosahedron Water Dodecahedron The Universe

Links YouTube del.icio.us/krillion/geometry Notes on page 3 of this presentation

YouTube

del.icio.us/krillion/geometry

Notes on page 3 of this presentation

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