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Platonische lichamen

Hallo

Kan iemand mij zeggen wie er bewezen heeft dat er slechts 5 platonische lichamen bestaan? Was dit Euler of Euclides? Of was het Plato? Of nog iemand anders?

DBV

Stanny

Stanny
2-11-2007

Antwoord

Voor wat het waard is:

The ancient Greeks studied the Platonic solids extensively. Some sources (such as Proclus) credit Pythagoras with their discovery. Other evidence suggests he may have only been familiar with the tetrahedron, cube, and dodecahedron, and that the discovery of the octahedron and icosahedron belong to Theaetetus, a contemporary of Plato. In any case, Theaetetus gave a mathematical description of all five and may have been responsible for the first known proof that there are no other convex regular polyhedra.

http://en.wikipedia.org/wiki/Platonic_solid

..en nu zelf nog maar 's verder studeren...

WvR
2-11-2007