Mathematical Equation to generate curve

by Hien Nguyen

Jan 26, 2017

Hello all,

As I was looking around to find ways to generate a coiling/looping curve, I stumbled upon a definition by Grasshopper3dvn. These 2 equations were used:

I tried Wolfram alpha to find out what does u, v and a mean but there was little explanation. I would appreciate it if you guys can point me to where I can learn more about these 2 equations and their parameters. Thanks!

  • up

    Birk Binnard

    Usually u and v refer to the X and Y dimensions of a 2D rectangle. The typical values for both u and v are from 0 to 1. The variable a is probably a constant that can have any value, but the 2nd equation looks like it should not be 0. My guess is the first equation will give you the X value of a point on the curve, and the second one the corresponding Y value. 

    1

    Jan 26, 2017

    • up

      Hyungsoo Kim

      Hi.

      You'll be able to try like this and play more.

      1

      Jan 26, 2017

      • up

        MEGHANA PATIL

        HI,

        you can use mathForV4 plugin in rhino for generating curves from equation or you may use evaluate component in grasshopper for equation and give input as U and V such As X and Y in grasshopper

        Jan 30, 2017