how to make periodic minimal surface using only grasshopper??

I come across the s'-s" Schoen's Hybrid Triply Periodic Minimal Surface, and i am exploring the potential of taking it as an architecture.

1)Does anyone know how to create that periodic surface in rhino? I dont even know how to draw the 1st piece in rhino, coz its hard for me to determine the geometry by that picture.Can anyone help?It is better for me to work on it only in grasshopper.

And i studied this tutorial which give me some idea working on it:http://www.cerver.org/2010/grasshopper-parametric-schoen-f-rd/

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Replies to This Discussion

Permalink Reply by aw on February 28, 2012 at 1:36pm

2)If it is possible for me to control the in-between solid and void so it becomes something like http://www.indiana.edu/~minimal/archive/Triply/genus3/P-animation/w.../the attached picture

plz provide me the definition or teach me how to change the definition provided in the website above, coz i am not really familiar with GH, thanks.

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Permalink Reply by aw on February 29, 2012 at 3:34am

if dont hav the definition, just tell me if its possible will do, many thanks.

Permalink Reply by Hannes Löschke on February 29, 2012 at 4:32am

It's some surfaces defined on a mathematical principle... so the answer is yes.

The general approach to minimal surfaces is:

1) define boundaries and connecting surfaces as a mesh

2) relax the mesh

For the relaxation there are several ways. One is using kangaroo. You'll find a ton of information searching this forum for e.g. "minimal surface", "mesh relaxation", "kangaroo"

Permalink Reply by Leonardo Ali on February 18, 2017 at 1:47pm

Funnily enough I am trying to achieve a similar thing at the moment. Using this minimal surface geometry for something like what Toyo Ito did. How did you get on?