Grasshopper exercise

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Permalink Reply by Anders Holden Deleuran on February 18, 2017 at 2:23pm

Looks like a Scherk-Collins surface, there's a software to generate those as I recall. You should be able to find some papers or maybe even code describing the underlying math and algorithms I'd think.

Permalink Reply by federico caputo on February 18, 2017 at 2:41pm

Man! You're the real MVP!

Thanks to you I can say it's exactly a Scherk-Collins surface. And if i'm not mistaking, it's obtained by bending into a circle a pile of 7 (maybe 8) of the structures in the image attached.

Now what I have to figure out is how to model this minimal surface (if possible with grasshopper), how to stack it into a pile, and than how to bend it

Attachments:

• Scherk's Minimal Surface.JPG, 30 KB

Permalink Reply by federico caputo on February 18, 2017 at 3:57pm

Just found out: the name of the solid is "Heptoroid".

Man, your "Scherk-Collins surface" were really the magic words to google the solution!

Any help about how to model this solid in grasshopper would be apreciated

Permalink Reply by Kim hauer on February 18, 2017 at 4:32pm

Have a look at:

http://www.grasshopper3d.com/forum/topics/how-to-create-this-kind-o...

Permalink Reply by federico caputo on February 19, 2017 at 3:09am

Thank you man. I'm trying to follow the definition in the link you provided, with poor results for now.

I was supposed to get something like the Scherk's second surface and warp it into a torus after, but what i really get is what you see in the image attached.

I can't figure out where's the error but i'll keep on trying

Attachments:

• min surf.JPG, 102 KB

Permalink Reply by Daniel Christev on February 19, 2017 at 6:20am

It definitely is a lot more work, but you can achieve this with clean quad topology if you take the time to think over setting up proper loft sections. 

I tried a fair few things to get here, was ambitious with a mathematical model, but ended up making a much simpler version out of clay, and then trying to work out where to 'break' the surface to create the sections. 

Permalink Reply by Laurent DELRIEU on February 19, 2017 at 7:04am

Daniel you are right a clean topology could be more useful. I used a mesh I found on internet (don't remember where), array it, twist it put on a torus thicken it and smooth it. From left to right. 

Permalink Reply by Laurent DELRIEU on February 19, 2017 at 8:59am

Here is the script, 2 examples of mesh are provided, the idea of not using isosurface is good to have a clean mesh. The problem is that tou must provide a mesh as input. 

This mesh is arrayed linearly on Z, then twisted n times * PI. Then this mesh is put on a torus with a major and minir radius. 

This mesh is then thickened with an offset in 2 directions and a glueing of free edges of the mesh. 

There are some dams in order to limit calculations. 

An image here 

http://www.grasshopper3d.com/photo/shape-on-torus?context=user

It was done with a mesh I did

Attachments:

• second Scherk surface v3 without isosurface.gh, 246 KB

Permalink Reply by federico caputo on February 20, 2017 at 2:57pm

great definition! very usefull and easy to use.

Now I'm trying to make it more "flexible" creating the iso surf directly in grasshopper. 

Permalink Reply by Kim hauer on February 19, 2017 at 11:25am

Its called the Scherk-Collins Sculpture Generator

Permalink Reply by federico caputo on February 19, 2017 at 12:06pm

Yeah, great application. I've also found it during my researches. I tried something and it's really simple to use. You can also save an STL file and open it in Rhino.

It's really quick and interesting, but my goal is to achieve the same result with grasshopper

Permalink Reply by federico caputo on February 20, 2017 at 2:58pm

Hey Daniel, could you please share the script?

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