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Platonic Solids
  {   Victoria and Kayla
   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?
   Ancient Greece
      Between 500 – 400 BC




When/Where?
 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

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Platonic solids.pptxx

  • 1. Platonic Solids { Victoria and Kayla
  • 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