TOPICS
Search

Acnode


Acnode

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

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Acnode." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Acnode.html

Subject classifications