Grasshopper

generative modeling for Rhino

# Umbilic Torus

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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Tags: tutorial

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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.
Comment by Torolf Sauermann on June 11, 2009 at 9:29am
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
Comment by Tuan N. Tran on June 7, 2009 at 12:52am
thanks for sharing

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