Asymptotic and Binormal Vectors for Perturbed z3




The following shows how the asymptotic (conjugate) vectors, the binormal vectors, the parabolic curve and the A3 curve all change as a 1-parameter family of surfaces in R4 passes through a flat inflection point.  The first column is the asymptotic vectors, the middle column is the parabolic and A3 curves, the last column is the binormal vectors.  Eventually I will have movies for these, but I couldn't find the Mathematica program I used to create them.  I need to learn to make my Mathematica code more user friendly.



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Created by Dan Dreibelbis.  Last modified 3/19/09.