Grasshopper

algorithmic modeling for Rhino

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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Comment by steadyeddie on November 18, 2021 at 1:28pm

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

Comment by Kyle on March 14, 2020 at 5:41pm

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.

Comment by Gogash on January 9, 2014 at 3:27am

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! 

Comment by Sahara on August 5, 2010 at 5:45am
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!!!!
Comment by Odys on April 6, 2010 at 11:22pm
I just find that you attached the GH files, and I have got to know the answer to my question.
Thx all the same ~
Comment by Alpha222 on April 6, 2010 at 11:15am
And you can try the Srfgrid component instead of the last part to generate a better-looking surface.
Comment by Alpha222 on April 6, 2010 at 11:05am
Thanks for sharing~~
Comment by Odys on April 6, 2010 at 6:51am
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!
Comment by congming zhong on February 10, 2010 at 6:15pm
Thanks, Austin
Comment by Lars Renklint on June 16, 2009 at 1:30am
Nice, thank you for sharing.

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