I have a user defined curve. For fabrication purposes, I need to divide the curve at the inflection points (where the 2nd derivative = 0). There is need to specify a thickness at the local min and max points (where the 1st derivative = 0). I would like to do this all in Grasshopper with a clean flow of data, for purpose of later manipulations and fabrication. Currently, I am marking the points in Rhino, then referencing those points in GH.

Curve and points are internalized into the attached file.

internalized curve - to find inflection points and local min-max.gh (3.6 KB)

See image: this is a structural moment diagram, that it represents the thickness and how I hope to vary the thickness.

For your curiosity, this is what we are planning to install.