Umbilic Torus

by Farley2076

May 26, 2009

Trying to learn a bit about mathematical surfaces and how to build them in GH using the expression editor. This was a pretty interesting one I came across on the Internet of a form called an Umbilic Torus. It's like a Moebius Strip in that it only has one edge, but it is a 3D form. This definition also puts to good use a method for creating tree data from a single list, a problem I had that I got some assistance on over on the old Google Group from David Rutten and others.

Umbilic_Torus.ghx

  • Tuan N. Tran

    thanks for sharing

    Jun 7, 2009

  • Torolf Sauermann

    interesting! there are so many possibilities with
    Grasshopper:)


    something back to the world
    ---------------------------------------------------------------
    X(): sin((v/1)-(13*v)) +- 3*sin((u/.25)+v)
    Y(): cos(u)*((11+cos((v/1)-(13*v))+(2*cos((u/.25)+v))-v)-v)
    Z(): sin(u)*((11+cos((v/1)-(13*v))+(2*cos((u/.25)+v))-v)-v)
    [u]:-pi, pi
    [v]:-pi, pi
    ------------------------------------------------------------

    Cordially
    Torolf

    Jun 11, 2009

  • Lars Renklint

    Nice, thank you for sharing.

    Jun 16, 2009

  • congming zhong

    Thanks, Austin

    Feb 10, 2010

  • Odys

    Excuse me, I just want to know when you got a set of parametric equations, how to get the model from the expressions? Is it Mesh or Nurbs?
    Thanks so much!

    Apr 6, 2010

  • Alpha222

    Thanks for sharing～～

    Apr 6, 2010

  • Alpha222

    And you can try the Srfgrid component instead of the last part to generate a better-looking surface.

    Apr 6, 2010

  • Odys

    I just find that you attached the GH files, and I have got to know the answer to my question.
    Thx all the same ~

    Apr 6, 2010

  • Sahara

    hi there,

    unfor,for some reason I cannot open the ghx file...it syas IQ generated 32 messages...it gives an error...can you plaese help!!!!

    Aug 5, 2010