Mathematical Surface

Hey Everyone!

Could someone tell me how to make this kind of a surface with GH? I remember having seen a formula or plugin that does this, but cant remember!

Thanks

▶ Reply to This

Replies to This Discussion

Permalink Reply by Daniel Piker on May 4, 2010 at 1:49pm

I could be mistaken but that looks to me like a trimmed part of the parametric surface given by the equations:

x = sin(u)*cos(v), y = sin(u)*sin(v), z = cos(u)

;)

▶ Reply

Permalink Reply by Deepthi on May 4, 2010 at 4:39pm

Hey Daniel!
The image shown above was made in rhino using boolean difference
I tried something with your equation - I feel so naive!

Pls explain! :)

▶ Reply

Permalink Reply by Daniel Piker on May 4, 2010 at 4:59pm

Sorry, I was just being silly.
That's the parametric equation for a sphere (try switching your 3 function components to cross-reference).
What is it you are actually after ? a non-trimmed version of that surface ?

▶ Reply

Permalink Reply by Deepthi on May 5, 2010 at 4:04am

Yeah, I wanted to know the procedure to make a surface from 3 [or more] arches. I mean we cannot achieve it by lofting right? Similar to enniper surface or something...

Also, in the above example, when I say cross-ref, I dont get a sphere. I'm just curious!

Attachments:

Mathematical Surface Trial.ghx, 76 KB

▶ Reply

Permalink Reply by Daniel Piker on May 6, 2010 at 1:34pm

One way to get matching numbers of outputs from the X,Y,Z expressions is to give Z a v input too (even though it's expression has no v term). Then you have a setup which you can use for more general parametric equations.

Of course there are far easier ways to make spheres in grasshopper! , just your post was titled 'mathematical surface'.

Attachments:

MathematicalSurfaceTrial.ghx, 202 KB

▶ Reply

Permalink Reply by Deepthi on May 10, 2010 at 4:52pm

Thanks Daniel!
The images I attached were just to show what I had in mind - I didnt want to achieve it by making a sphere and then trimming it. I wanted a surface which is formed between 3 or more arches [or parabolic curves or something], where you have control over the depth of the arch and the surface updates automatically.