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Platonic Solids

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Platonic Solids

  1. 1. Platonic Solids © Kristen A. Treglia 2007
  2. 2. 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
  3. 3. What are they? <ul><li>Convex polyhedra with equivalent faces composed of congruent convex regular polygons </li></ul><ul><li>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. </li></ul>
  4. 4. <ul><li>The word polyhedron </li></ul><ul><li>comes from the </li></ul><ul><li>Greek poly (many) and </li></ul><ul><li>the Indo-European </li></ul><ul><li>hedron (seat). </li></ul><ul><li>Euler Polyhedron Formula </li></ul><ul><li>F – E + V = 2 </li></ul>Polyhedra
  5. 5. In Timaeus , Plato named all five and drew a direct connection between the platonic solids and the elements of:
  6. 6. Tetrahedron Fire Cube Earth Octahedron Air Icosahedron Water Dodecahedron The Universe
  7. 7. Links <ul><li>YouTube </li></ul><ul><li>del.icio.us/krillion/geometry </li></ul><ul><li>Notes on page 3 of this presentation </li></ul>

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