How I can transfer this parametric demonstration of Mathematica into Grasshopper?

Hello everyone,

I am an architect, and trying to transfer this specific parametric demonstration (which is a parametric minimal surface) into Grasshopper; so that I'll able to manipulate both the shape and its surface.

However, I don't have that much knowledge about both grasshopper and Mathematica.. I mean I can only make assumptions and think about relations of certain functions but that's all.

If you can help me on this, I would appreciate it so much.

You can see a screenshot of the code and model of the demonstration from mathematica in attachment.

And here is the mathematica code;

Manipulate[
Module[{\[CurlyEpsilon] = 10^-6, c1 = Tan[a1], c2 = Tan[a2],
c3 = Tan[a3], c4 = Tan[a4], c5 = Tan[a5], c6 = Tan[a6]},
ContourPlot3D[
Evaluate[
c6 Sin[3 x] Sin[2 y] Sin[z] + c4 Sin[2 x] Sin[3 y] Sin[z] +
c5 Sin[3 x] Sin[y] Sin[2 z] + c2 Sin[x] Sin[3 y] Sin[2 z] +
c3 Sin[2 x] Sin[y] Sin[3 z] + c1 Sin[x] Sin[2 y] Sin[3 z] ==
0], {x, \[CurlyEpsilon],
Pi - \[CurlyEpsilon]}, {y, \[CurlyEpsilon],
Pi - \[CurlyEpsilon]}, {z, \[CurlyEpsilon], Pi - \[CurlyEpsilon]},
Mesh -> False, ImageSize -> {400, 400}, Boxed -> False,
Axes -> False, NormalsFunction -> "Average",
PlotPoints -> ControlActive[10, 30],
PerformanceGoal -> "Speed"]], {{a1, 1,
"\!\(\*SubscriptBox[\(\[Alpha]\), \(1\)]\)"}, -Pi/2 - 0.01,
Pi/2 + 0.01,
ImageSize -> Tiny}, {{a2, 1,
"\!\(\*SubscriptBox[\(\[Alpha]\), \(2\)]\)"}, -Pi/2 - 0.01,
Pi/2 + 0.01,
ImageSize -> Tiny}, {{a3, 1,
"\!\(\*SubscriptBox[\(\[Alpha]\), \(3\)]\)"}, -Pi/2 - 0.01,
Pi/2 + 0.01,
ImageSize -> Tiny}, {{a4, 1,
"\!\(\*SubscriptBox[\(\[Alpha]\), \(4\)]\)"}, -Pi/2 - 0.01,
Pi/2 + 0.01,
ImageSize -> Tiny}, {{a5, 1,
"\!\(\*SubscriptBox[\(\[Alpha]\), \(5\)]\)"}, -Pi/2 - 0.01,
Pi/2 + 0.01,
ImageSize -> Tiny}, {{a6, 1,
"\!\(\*SubscriptBox[\(\[Alpha]\), \(6\)]\)"}, -Pi/2 - 0.01,
Pi/2 + 0.01, ImageSize -> Tiny}, AutorunSequencing -> {1, 3, 5},
ControlPlacement -> Left]

Attachments:

w_01.JPG, 112 KB

Replies to This Discussion

Permalink Reply by Zaghloul4d on December 18, 2015 at 6:14pm

Hi,

1) Watch thislink for any plot function from mathematica to grasshopper

https://vimeo.com/62255434

2) open this gh file for your model. Create a folder with name Mantis on the C drive Or change the destination link of the export path input.

Attachments:

Contourplot.gh, 12 KB

Permalink Reply by Autodolor on December 9, 2016 at 4:48am

Hummm.. What component is after Mesh and the following after the first pipeline?

Attachments:

after pipeline1.jpg, 153 KB

Permalink Reply by Zaghloul4d on December 9, 2016 at 5:45am

1- the first component from left is for welding the vertices ---> use Edit mesh plugin

http://www.food4rhino.com/app/meshedit

2- the second one is for smoothing the mesh by adding a kind of subdivision ----> use weaverbird plugin

http://www.giuliopiacentino.com/weaverbird/

Permalink Reply by Autodolor on December 9, 2016 at 6:56am

Ahhhhh! Ok! I'm crazy looking for this component in Grasshopper! LOL

Thakns! :D

Permalink Reply by Aysu Aysoy on December 17, 2016 at 1:23am

Hi,

Thank you! I think it is what I'm looking for a long time.

I created a folder named Mantis on the C drive just like you said but I'm having this error, related with something else than the code itself but I don't how to solve it;

1. Solution exception:Could not load file or assembly 'Wolfram.NETLink, Version=1.2.1740.23578, Culture=neutral, PublicKeyToken=null' or one of its dependencies. The system cannot find the file specified.

Can you help about this?

Permalink Reply by Autodolor on December 17, 2016 at 1:37am

Maybe, the solution is the real "Wolfram.NETLink.dll" in Mathematica. Looking for C:\Program Files\Wolfram Research\Mathematica\10.4\SystemFiles\Links\NETLink, then copy the dll, and, now, go to C:\Users\YOUR ACCOUNT\AppData\Roaming\Grasshopper\Libraries, AND OVERWRITE ! :D Easy!

The solver is the real dll version from your Mathematica path!

Enjoy!

Permalink Reply by Aysu Aysoy on December 17, 2016 at 2:16am

Thank you it worked!

Permalink Reply by Aysu Aysoy on December 17, 2016 at 2:24am

Is there any way to work on the parametric model' (came out by the equation) surfaces/vertices/curves in grasshopper?

Permalink Reply by Autodolor on December 17, 2016 at 2:34am

Hummm. The formats to export in Mathematica are meshes.. Is better transform to surfaces or nurbs. But, Rhino, per se, ist no good. https://wiki.mcneel.com/rhino/meshtonurb

Perhaps, other plugins, (to buy...), but trial mode can solve this.

https://wiki.mcneel.com/rhino/reverseengineering

http://reference.wolfram.com/language/guide/3DGeometryAndModelingFo...

Permalink Reply by Autodolor on December 17, 2016 at 2:40am

Or , if you can, export to Solidworks...

http://mathematica.stackexchange.com/questions/48572/graphics3d-fro...

Permalink Reply by Aysu Aysoy on December 17, 2016 at 2:49am

I actually want to work on the parametric model.

Let's say deconstract brep and assign functions to the equation model in grasshopper so that it will work parametric.

I don't know if it makes sense combining the solution to debrep but as an example for my purpose ;

Permalink Reply by Autodolor on December 17, 2016 at 3:04am

In the export to rhino, you have a mesh, any litghs, and a curves. Try to manipulate this. Delete the mesh and ligths. My work is more complex: Topological Surfaces non orientables, like Steiner surfaces, Móbius band o Kleiner bottle. Very funny! All the model whit naked edges, or mainfolds, etc.. :D