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Why only five Platonic Solids?
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|Platonic Solids (.PDF)||
Platonic Solids numbers (.PDF)
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There are five so named because they were known at the time of Plato circa (427-347 BC). These polyhedra are also called regular polyhedra because they are made up of faces that are all the same regular polygon.
|A Platonic solid is a polyhedron all of whose faces
are congruent regular convex polygons*, and where the same number of faces
meet at every vertex.
The Greeks recognized that there are only five platonic solids.
But why is this so?
*) Regular means that the sides of the polygon are all the
Mathforum dr.math faq Regular Polyhedra
Mathworld: Platonic Solid
University of Utah: Platonic Solids
Mathsisfun: Platonic Solids
Dartmouth College: Platonic Solids Unit6
Science U: Solids
Wikipedia: Platonic Solids
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