Euler’s Polyhedron Formula:

Euler’s Polyhedron Formula:

Euler's Polyhedron FormulaEdges, Faces, and Vertices

In a survey by Mathematical Intelligencer, mathematicians ranked this as the second most beautiful formula in all of mathematics.

More than a geometric curiosity, its discovery in 1751 helped to launch the study of graphs, networks, and topology.

It is surprising that the ancient Greeks failed to find the formula. Euclid would have been delighted, although he may have had difficulty in proving it.

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