 Tutte's algorithm makes use of the barycentric mappings of the peripheral circuits of a simple 3-connected graph.The findings published in this paper have proved to be of much significance because the algorithms that Tutte developed have become popular planar graph drawing methods.One of the reasons for which Tutte's embedding is popular is that the necessary computations that are carried out by his algorithms are simple and guarantee a one-to-one correspondence of a graph and its embedding onto the Euclidean plane, which is of importance when parameterising a three-dimensional mesh to the plane in geometric modelling.