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Quote From Dr. Oz

“I think the next big frontier is unlocking the doors to energy medicine. It dramatically broadens our vista of opportunities to heal. The challenge that we have is that energy is not as easily quantified as the surgeon’s scalpel.”
— Dr. Mehmet Oz, O Magazine, Dec 2010

Platonic Solids

There are 5 Platonic solids. The 5 Platonic solids are essentially the basis for all other solid geometry. The 5 platonic solids are polyhedra with regular polygon faces and the faces and vertices are identical. They are often referred to as perfectly symmetrical polyhedra. Each platonic solid obeys the relationship: # of faces + # of vertices = # of edges + 2.(Euler) In order for a solid to be a platonic solid, the figure must use the same regular polygon for all its faces and have the same number of faces meet at each of its vertices. Originally the platonic solids and their regularities were discovered by the Pythagoreans and were initiallyy called the Pythagorean solids. The platonic solids were later named by the ancient Greek philosopher, Plato, who often wrote about them in greater detail in his book 'Timaeus'.

The tetrahedron is bounded by four equilateral triangles. The number of vertices is 3. The number of polygons meeting at a vertex is 3. The number of faces for the tetrahedron is 4. The the number of edges of the tetrahedron is 6. The the number of vertices of the tetrahedron is 4.

The hexahedron is bounded by six squares. The number of vertices is 4. The number of polygons meeting at a vertex is 3. The number of faces for the hexahedron is 6. The the number of edges of the hexahedron is 12. The the number of vertices of the hexahedron is 8.

The octahedron is bounded by eight equilateral triangles. The number of vertices is 3. The number of polygons meeting at a vertex is 4. The number of faces for the octahedron is 8. The the number of edges of the octahedron is 12. The the number of vertices of the octahedron is 6.

The dodecahedron is bounded by twelve equilateral pentagons. The number of vertices is 5. The number of polygons meeting at a vertex is 3. The number of faces for the dodecahedron is 12. The the number of edges of the dodecahedron is 30. The the number of vertices of the dodecahedron is 20.

The icosahedron is bounded by twenty equilateral triangles. The number of vertices is 3. The number of polygons meeting at a vertex is 5. The number of faces for the icosahedron is 20. The the number of edges of the icosahedron is 30. The the number of vertices of the icosahedron is 12.

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