Who can make scherk second surface

I want to get scherk second surface, but I cannot, so i need some help, please

Now the mathematic equation is known.

Replies to This Discussion

Permalink Reply by Igor on October 9, 2013 at 1:13pm

I have not a time, look at this page http://www.grasshopper3d.com/profiles/blogs/minimal-surfaces

Permalink Reply by Liumo on October 9, 2013 at 2:59pm

Ok . I will try by myself first. Thank you very much

Permalink Reply by Liumo on October 9, 2013 at 3:24pm

Hi, how did you get the component of Iso surface? scripting?

Permalink Reply by David Rutten on October 9, 2013 at 2:35pm

What is weird R supposed to do?

David Rutten

david@mcneel.com

Tirol, Austria

Permalink Reply by Liumo on October 9, 2013 at 3:01pm

Actually, I don't know, neither. Maybe it is a mathematic symbol.

Permalink Reply by David Rutten on October 9, 2013 at 3:58pm

Well, it's obviously a mathematical symbol. I'm just wondering how to translate it into a programming instruction.

David Rutten

david@mcneel.com

Tirol, Austria

Permalink Reply by Daniel Hambleton on October 9, 2013 at 4:26pm

Strange notation, but I guess it is the real part of a complex number. You evaluate whatever is in the brackets R(stuff) as a complex function and return the real part.

Permalink Reply by Liumo on October 9, 2013 at 4:32pm

I am sorry I have no idea

Permalink Reply by Liumo on October 9, 2013 at 5:09pm

I got it from Wikipedia, if you are interested in it, you can search

h ttp://en.wikipedia.org/wiki/Scherk_surface

It has some process.

And I have a professional essay, if you want I can share with you.

Because I am not a student of mathematics or computer, it is very hard for me to understand.

Permalink Reply by Igor on October 9, 2013 at 4:08pm

Sorry, it is my old script and some old elements did not keep value by default. The IsoSurface component from Millipede add-onhttp://www.grasshopper3d.com/group/millipede.

Attachments:

MINIMAL_SURFACES.gh, 80 KB

Permalink Reply by Liumo on October 9, 2013 at 4:48pm

Thx very much!

Another question is about the mathematic expression.

Why is your expression of scherk surface is different from mine?

Where did you know that one?

Permalink Reply by Vicente Soler on October 10, 2013 at 6:42am

It's the implicit equation, it's just above the equations you posted in the Wikipedia article. If you evaluate a point that's touching the surface using that formula, the result will be 0.

The problem is that if you don't already have the surface you have to blindly evaluate points in space until you figure approximately where the surface will be (if one point results in -0.234 and another next to results in 0.234, you can guess the surface is in between those two points).

This means that your solution will be a coarse approximation solved with an algorithm like marching cubes and returning a faceted mesh.

If you solve it using the parametric equations you posted you can get a smooth and exact (well, not really but much more) surface which you will have to mirror vertically to get the final shape.