Who is the Swiss mathematician known for discovering the relationship among faces, vertices, and edges of polyhedra?

The Swiss mathematician known for discovering the relationship among faces, vertices, and edges of polyhedra is Leonhard Euler. This relationship is encapsulated in what is known as Euler's formula, which states that for any convex polyhedron, the number of vertices (V), the number of edges (E), and the number of faces (F) are related by the equation V - E + F = 2.

Euler's work in polyhedral geometry was groundbreaking and laid the foundation for many areas of topology and combinatorial geometry. His exploration into these relationships among fundamental geometric shapes not only advanced mathematical theory but also influenced later developments in related fields. Euler's contributions have made a significant impact on various branches of mathematics and continue to be a fundamental part of mathematical education today.