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\begin{figure}\begin{center}\BoxedEPSF{Tacnode.epsf scaled 700}\end{center}\end{figure}

A Double Point at which two Osculating Curves are tangent. The above plot shows the tacnode of the curve $2x^4-3x^2y+y^2-2y^3+y^4=0$. The Links Curve also has a tacnode at the origin.

See also Acnode, Crunode, Double Point Spinode


Walker, R. J. Algebraic Curves. New York: Springer-Verlag, pp. 57-58, 1978.

© 1996-9 Eric W. Weisstein