# Asymptotic and Binormal Vectors for Perturbed z^{3}

The following shows how the asymptotic (conjugate) vectors, the binormal vectors, the parabolic curve and the A_{3} curve all change as a 1-parameter family of surfaces in R^{4}
passes through a flat inflection point. The first column is the
asymptotic vectors, the middle column is the parabolic and A_{3}
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.

BACK...

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