KnowraEuler's polyhedron formulaLinked fromLinked fromThe 7 pages that link to Euler's polyhedron formula, each with the reason it gives.All 7Broader topic 2Related 4Compared with 1Leonhard EulerBroader topic: This theorem is the specific geometric result behind the later Euler characteristic.Euler characteristicBroader topic: This is the characteristic’s classical form for convex polyhedra.Euler's formulaCompared with: It shares Euler's name but is a distinct result in geometry.CounterexampleRelated: Nonconvex or self-intersecting polyhedra expose the need to state the formula's conditions carefully.Poincaré–Hopf theoremRelated: The theorem extends the same global invariant that appears in Euler’s formula.Five color theoremRelated: It bounds planar edge density, ensuring a vertex of degree at most five.Three utilities problemRelated: Its planar edge bounds help show that K₃,₃ cannot be embedded without crossings.