Creating a polygon with different edge lenghts

Hello, I'm trying to create a polygon from a given number/length of segments that should become the edges of the polygon.

I'm using hoopsnake to allow me to move and rotate each segment one after another. Which is only partially working.

I've tried to relate the length of each segment to the sum of them to find the rotation angle which is mathematically incorrect.

Is there a way to relate the number of edges, the interior angles, and the edges lengths?

Or is there a simpler way of doing so?

I've attached the gh and a screenshot showing in yellow the starting segments.

looking forward to everyone's help.
woot!

Attachments:

Circle and boxes.gh, 22 KB
Screenshot.png, 20 KB

Replies to This Discussion

Permalink Reply by Mateusz Zwierzycki on February 3, 2015 at 11:11am

Is there a way to relate the number of edges, the interior angles, and the edges lengths?

Your question is a bit incomplete. Does your polygon is always convex ? Do you want to specify the angles between consecutive segments ?

But even with that, your problem is quite complex to solve in a single shot solution... you may try use kangaroo...

Permalink Reply by michele tonizzo on February 3, 2015 at 11:26am

Thanks for your response, yes my interior angles will always be convex.

I'm open to using kangaroo, can you elaborate?

Permalink Reply by Ryan Whitby on February 3, 2015 at 12:16pm

You could use kangaroo to create a polygon spring that reaches the desired lengths you want. With this method it would equalize the angles to be as similar as possible.

Attachments: