Utilizamos tu perfil de LinkedIn y tus datos de actividad para personalizar los anuncios y mostrarte publicidad más relevante. Puedes cambiar tus preferencias de publicidad en cualquier momento.
Próxima SlideShare
Cargando en…5
×

Platonic solids in nature

12.145 visualizaciones

• Full Name
Comment goes here.

Are you sure you want to Yes No
• How Bookies CHEAT and How to beat them? http://ishbv.com/zcodesys/pdf

¿Estás seguro?    No
Tu mensaje aparecerá aquí
• Welcome to SlideShare.

¿Estás seguro?    No
Tu mensaje aparecerá aquí

Platonic solids in nature

1. 1. Platonic SolidsSixth Grade Geometry
2. 2. Cube
3. 3. Tetrahedron
4. 4. Octahedron
5. 5. Icosahedron
6. 6. Dodecahedron
7. 7. A History of Platonic Solids• There are five regular polyhedra that werediscovered by the ancient Greeks.• The Pythagoreans knew of the tetrahedron,the cube, and the dodecahedron; themathematician Theaetetus added theoctahedron and the icosahedron.
8. 8. These shapes are called the Platonic solids,after the ancient Greek philosopher Plato;Plato, who greatly respected Theaetetuswork, speculated that these five solids werethe shapes of the fundamental componentsof the physical universe
9. 9. Plato associated one solid with each of the fourbasic elements -- fire, earth, air, and water. Hereserved the fifth for the heavens beyond thestars and planets
10. 10. Polyhedrons or Polyhedra• A polyhedron is a solid formed by flatsurfaces.• We constructed regular convex polyhedrons:– “regular” refers to the fact that every face, every edgelength, every facial angle, and every dihedral angle (anglebetween two faces) are equal to all the others thatconstitute the polyhedron.– “convex” refers to the fact that all of the sides of theshapes are flat planes, i.e., they are not “concave”, ordented in.
11. 11. Characteristics of Regular ConvexPolyhedra• Each face is congruent to all others• Each face is regular• Each face meets the others in exactly thesame way
12. 12. Five Platonic Solids
13. 13. Platonic Solids in Nature