 Using this fact, Tutte developed an alternative proof to show that every Kuratowski graph is non-planar by showing that "K"5 and "K"3,3 each have three distinct peripheral cycles with a common edge.In addition to using peripheral cycles to prove that the Kuratowski graphs are non-planar, Tutte proved that every simple 3-connected graph can be drawn with all its faces convex, and devised an algorithm which constructs the plane drawing by solving a linear system.The resulting drawing is known as the Tutte embedding.