An acnode, also called an isolated point or hermit point, of a curve is a point that satisfies the equation of the curve but has no neighboring points that also lie on the curve. The plot above shows the curve y^2+x^2+x^3=0, which has an acnode at the origin (0,0).

The conchoid of de Sluze has an acnode at the origin for a>-1.

See also

Crunode, Cusp, Singular Point, Spinode, Tacnode

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Cite this as:

Weisstein, Eric W. "Acnode." From MathWorld--A Wolfram Web Resource.

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