Source: wikibot/maxwell-s-theorem-geometry

= Maxwell's theorem (geometry)
{wiki=Maxwell's_theorem_(geometry)}

Maxwell's theorem in geometry concerns the properties of convex polyhedra. It states that the number of vertices \\( V \\), edges \\( E \\), and faces \\( F \\) of a convex polyhedron are related by the formula: \\\[ V - E + F = 2 \\\] This relationship is a specific case of Euler's characteristic formula for polyhedra. The theorem is named after James Clerk Maxwell, who contributed to its formalization in the context of geometric topology.