Grasshopper

generative modeling for Rhino

Discrete Costa Surface

Inspired by Stefan Sechelmann's presentation at the recent AAG, I've been having a go at using Kangaroo to optimize for quasiisothermic meshes.
This is a discrete Costa Minimal Surface. All the quads are planar with tangent incircles.

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Comment by PEPE ALGECIRAS on November 15, 2012 at 5:37am

Hi, Daniel, I'm unable to open it too, although my version is gh 0.9.0006 but in Rhino 4

Comment by first1 on October 6, 2012 at 9:05pm

HI, Daniel, I can't open the quasiisothermic. gh file, why? my version is rhino5 ,gh 0.9.0006

Comment by Behnood Eghbali on October 5, 2012 at 11:34am

thx for sharing! very helpful!

Comment by Roig on October 5, 2012 at 4:05am

awesome¡¡ thanks4sharing

Comment by Daniel Piker on October 5, 2012 at 3:27am

For further reading :

http://page.math.tu-berlin.de/~sechel/DiplomaThesis.pdf

http://page.math.tu-berlin.de/~bobenko/MinimalCircle/minsurftalk.pdf

and 

S. Sechelmann, T. Roerig, and A. I. Bobenko. Quasiisothermic Mesh Layout. In Hesselgren, L.; Sharma, S.; Wallner, J.; Baldassini, N.; Bompas, P.; Raynaud, J. (Eds.). Advances in Architectural Geometry 2012. 2012, 344 p. 285 illus. in color. ISBN 978-3-7091-1250-2

 

I use a slightly different energy (which I'll write a post about soon), but to optimize towards the same condition.

Comment by Dedackelzucht on October 5, 2012 at 1:55am

Yeah! Awesome! Thanks for sharing!

Comment by Vangel Kukov on October 5, 2012 at 1:34am

Thanks for sharing!

Comment by Woong Ki Sung on October 4, 2012 at 11:51pm

Wow, this is awesome. Could you let me know where can I find references to understand the algorithm?

Comment by Daniel Piker on October 4, 2012 at 4:30pm

Yes, in theory this approach should work with many types of surface. The tricky part is initializing it with the right singularities though.

Comment by Behnood Eghbali on October 4, 2012 at 4:21pm

so you can create all types of minimal surfaces... this is really awesome ;)

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