Curve apex

[Proterio]

The curve sits above the x/y plane and creates an apex in the x direction.

https://grasshopperdocs.com/components/grasshoppercurve/curveClosestPoint.html

Using only the curve (which may be move around the x/y plane) how could I create a point to feed into this method?

(this is not the apex in the X direction obviously)

2020-05-06 CurveApex 001.gh (3.4 KB)

[Jakinta (Jasmin Cubic)]

2020-05-06 CurveApex 001_RE.gh (9.0 KB)

[Proterio]

Very clever. Curious to know what order CCX solves intersections? Does it work from one end of the first curve to the other?
And how does it work for a curve that meanders in all three planes at the same time?

[Mahdiyar]

You can also use Extremes component in grasshopper:

CurveExtreme.gh (15.3 KB)