Perpendicular frame in a specific point of a curve

Grasshopper
,
1

Hi all,
I would like to know how can I get a perpendicular frame in an specific point of a curve (e.g by ratio).
With perp.frames function, the minimum you get are 2 frames(in each extrem), and it is not my wish.
Thank you in advance.

2

Canvas at 20;57;19
Canvas at 20;57;191399×393 161 KB

3

Thank you!

4

I have a question here, I wanted to get a plane at a point from “curve closest point“ with parameter “t“ as in Perp Frame. But I wanted the x–axis of the plane must be parallel to global X-axis. Is the “align plane” would be the right way or any smarter method? Thaks.

5

I presume you want something like this? It’s a little ambigous as you don’t specify the direction for y or z…

image
image1371×954 52.9 KB

aligned pframe.3dm (42.8 KB)

6

Thanks for your answer. That owuld also be an option. But in this way one lose the tangent to the curve. Inn my case, after Perp Frame, ifd i align it to Z vector, then the x/y axis would be parallel to global xz plane

grafik
grafik1780×645 158 KB

7

If you plug Z into Y, you get a plane that is tangent to the curve, but none of the axes point along it.

image
image1327×804 48.7 KB

(screenshots are not very good for demostrating tangency!)

There are only so many ways to orient a plane if one of its three axes is fixed!

8

Yeah, you are right. Thanks for the help. I got it.