# Evolute of a curve

This is a homework question, I recently started a parametric design course but the math is hard for me to navigate coming from only basic college algebra. Below is the assignment and my attempt at it with a very indirect approach. Can anyone give me a pointer on how to do this the right way?

evolute elipse.gh (5.2 KB)

Something like that ?

3 Likes

Yes and no, that helped me visually get what I needed, by using Divide Curve on the polyline and connecting those to the original divided points.

This is kind of cheating through right? I didnâ€™t get the normal of the Frenet Frame (whatever that is) and invert the curvature to obtain the radius to create the center, and what not. I mean, maybe we did, itâ€™s the same result. I understood enough to get close, and to post here for help to straighten out my approach but Iâ€™m ignoring the math, which is what gets me in trouble.

Thatâ€™s more a debate to have with my professor though, I suppose. Thanks @laurent_delrieu

Or an iterative option (youâ€™ll need Anomenoe for this to work).

evolute.gh (11.0 KB)

PS: if you really need the solution to reproduce exactly the method in the exercise check froGH from Co-de-iT:

It has a component named Frenet-Serret Frame; the curvature evaluation is available in the native Gh.
1 Like

If you want to â€ścheat lessâ€ť, use line line intersection

3 Likes