Euler Characteristic

K-12: Materials at high school level.

In 1750, the Swiss mathematician Leonhard Euler discovered a remarkable formula involving the number of faces f, edges e, and vertices v of a polyhedron:

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As a first step to understanding this equation, we will calculate v, e, and f for the Platonic solids and check that <math>v-e + f = 2</math> in these cases.