Euler’s theorem on polyhedrons

Euler's theorem on polyhedrons, formulated by Swiss mathematician Leonhard Euler, describes a fundamental relationship between the vertices (V), edges (E), and faces (F) of a convex polyhedron. The theorem states that for any such solid, the equation V - E + F = 2 holds true. This simple formula, often written as F + V = E + 2, is a foundational concept in topology, a branch of mathematics that studies the properties of geometric objects that are preserved under continuous deformations. Euler's work on polyhedrons was part of his broader contributions to mathematics, including calculus, geometry, and number theory.123