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
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  • Gogash

    Loft is not working!? What could be the problem? Because when i bake them and try lofting the curves they loft! i tried grafting and flattening but still nothing! 

    Jan 9, 2014

  • Kyle

    For anyone working with this example ghx, the loft fails because the first and last curves in the generated list are identical. The loft will succeed if you remove one.

    Mar 14, 2020

  • steadyeddie

    Hi,

    As a newbie and trial user of Rhino I am trying to reproduce the surface that Kyle made. I did the following

    1)replaced the legacy components

    2)changed the range -Pi<(u,v)<pi to  0<(u,v)<2Pi.

    3) increased the number of interpolation points

    However, I still get "insufficient interpolation points"... Any ideas? I have uploaded the file.

    Thanks!

    Umbilic_Torus_v1.gh

    Nov 18, 2021