platonic solids

1. Platonic Solids
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2.  Ancient Greeks
 The Pythagoreans knew of three of the solids.
The Mathematician Theaetetus added the last
two.
 Shapes are called the Platonic solids, after the
ancient Greek philosopher Plato; Plato, who
greately respected Theaetetus’ work, speculated
that these five solids were the shapes of the
fundamental components of the physical
universe.
Who?

3.  Ancient Greece
 Between 500 – 400 BC
When/Where?

4.  V = number of vertices in polyhedron
 E = number of edges in polyhedron
 F = number of faces in polyhedron
 M = number of faces meeting at a vertex
 S = number of sides for each face
 Euler’s Formula
 F x s / m = V (Vertices
 F x s / 2 = E (Edges)
Formulas