Create polyline between two points where segment lengths equal x

Grasshopper
1

I am looking for a script that creates a polyline between two points with the segment lengths equalling a given value. The segment lengths need to match the given value exactly.

thanks:)

2

Do you want a polyline as straight as possible ? If yes you just need to make a sort of arc.
But you could also make a zig zag. There are an infinity of solutions

3

A polyline between two points is simply a straight line, eh?

4

polyLineBetween2pts.gh (10.8 KB)

Was using this method initially to try create a polyline between two points that had segments to a set length. This method has the issue of the final segment not reaching the point. How could I generate a polyline between these two points with my intended segment lengths that reaches both points?

thanks for the quick reply:)

5

I would prefur it to be the least jaggered solution

thanks for the quick reply:)

6

Figured it out! thanks anyways:)
Will post my solution in the morning

7

You didn’t mention that you are converting a curve to a polyline. No image or code/geometry in your initial post.

:laughing:

8

Nah not trying to convert a curve. Was only using the curve as a method to generate the polyline with set segment lengths between the two points.

9

You haven’t stated all the elements of what you are trying to achieve. This seems like a minimization problem, but you might want to minimize the distance of all the intermediate vertices to the optimal line or perhaps you don’t care and just want the first solution.
A simple approach would be to just divide the straight line into equal segments and then to a triangulation. Note that in this case, division of the straight line are smaller sides of a triangle and your predefined length is the longest side. There are some edge cases but it does seem complicated to solve.

10

It worked with the idea of an arc. It is a recursive calculation as I ended on an equation like
sin(n*alpha)/sin(alpha)-distance between points/element length = 0

image
image848×608 92.6 KB

11

It is not possible with a random curve but an arc. Because when you convert a curve into polygon, the curve lenght is changing. Sorry someone has posted the solution already. Mine is a little bit simplistic version.
polyLineBetween2pts_hok.gh (17.2 KB)

image
image952×629 149 KB

12

The OP never said anything about a curve, arc or otherwise. The way I interpret the problem is that he wants the minimum number of rods of Length X. Here is the optimization way with Kangaroo.

MinimumNumberRods
MinimumNumberRods1315×603 107 KB

13

Assuming that means a two segment polyline with equal lengths, one could implement a right angle triangle solution. Here’s an implementation using the native RTrig component (note that it crashes Rhino if the solution is impossible, ping @DavidRutten), but one could compute the angle using e.g. a cosine relation:


230121_SimplestPolylineTrig_00.gh (10.8 KB)

14

Thanks Laurent! would love to try this if you want to upload it some time:)

15

Here is my version.
I use a line, it is more simple than 2 points.
Precision is an angle precision.
Iterations is the max number of iteration allowed.

The output is on an arc, so if want more realistic solution use @Filipe_Brandao solution and add gravity, you will have a chain.

polyLineBetween2pts_LD.gh (15.3 KB)

image
image1048×697 113 KB

Where is your solution ?