Planar voronoi cells and extrusion

Hello,

I am trying to create a connected planar voronoi surface for the surface below. Same as in this case (http://www.grasshopper3d.com/forum/topics/planar-voronoi-cells-out-...), but it seems not to work well.

Then I would like to extrude the voronoi curves to get something like this:

I would appreciate any help, thank you in advance guys!

Attachments:

Surface.3dm, 165 KB
Surface gh file.gh, 10 KB

Replies to This Discussion

Permalink Reply by Hendrik on November 28, 2016 at 3:53am

Did you tried to planarize it with kangaroo 2?

Greetings,

Hendrik

Permalink Reply by Jack Young on November 28, 2016 at 3:56am

1) Tween base curves

2)Find mid point of each Voronoi curve

3) Create a plane on the points

4)Orient it to the tweened curve

5) Offset curve using those planes

Permalink Reply by Hendrik on November 28, 2016 at 4:16am

This is all i got so far with kangaroo 2

Enable the engine to run it.

Play with the sliders of the goals to get your result

Attachments:

Surfaceghfile_v2.gh, 29 KB

Permalink Reply by Bas on November 28, 2016 at 11:42am

Thank you very much Hendrik and Jack, I really appreciate your help! I was exactly what I wanted to get, but I still have problems with the extrusion. It creates an overlapped extrusion, any idea of how can I solve this?

Attachments:

Surfaceghfile_v2 (2).gh, 18 KB

Permalink Reply by Hendrik on November 28, 2016 at 5:12pm

Try this.

in GH it looks weird, but if you bake it, it will be as you wish.

Hendrik

Attachments:

Surfaceghfile_v3.gh, 20 KB

Permalink Reply by Jack Young on November 29, 2016 at 1:00am

The problem is you have found the edges of the surfaces, and so at every boundary there are two faces being offset which will result in overlapping. What you want is to find the boundary between the cells and offset it and then split it.

1) extrude the origional surface
2)make a 3D voronoi around it
3) find the intersecting surfaces of the two geometries
4)hide the rest
5) offset the surfaces to give some thickness to the material
6)split the polysurface with the origional voronoi

Or

4) use weaverbird window (I think it's called, the green square with a hole in it)
5)split the polysurface with the origional voronoi

Permalink Reply by Hendrik on November 29, 2016 at 1:14am

Or just offset the base surface, project the edges of each cell on it and rule those two curves.

Permalink Reply by Bas on November 29, 2016 at 2:45am

Thanks a lot guys, you were very helpful! Finally I got the result that I wanted! :)

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