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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Simplicial Continuation, or Piecewise Linear Continuation (Allgower and Georg) is a one parameter continuation method which is well suited to small to medium embedding spaces. The algorithm has been generalized to compute higher dimensional manifolds by (Allgower and Gnutzman) and (Allgower and Schmidt) The algorithm for drawing contours is a simplicial continuation algorithm, and since it is easy to visualize, it serves as a good introduction to the algorithm.