Grasshopper

algorithmic modeling for Rhino

Hey there,

I'm trying to make a voronoi structure on a multi curved surface but can't seem to find a way. Does anyone know how to do this? all ideas are welcome.

Cheers

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Hi Marinus,

If a Multi curved surface is a double curved surface, then you can create the voronoi on a flat rectangle bellow or above the surface. After that interest those 2d voronoi curves with surface.

Two basic approaches you can take; 3D and UV.

Either solve a 3D voronoi and intersect it with the surface. The problem here might be that if the surface has detail that is significantly smaller than the voronoi cells, you can get weird intersections. Also the edges of open surfaces could be problematic. This approach also requires 3D voronoi and Brep|Brep intersections, which are both slow operations.

The other approach means you 'unfold' the surface, solve the voronoi in the flat plane and then push it back onto the original surface. Problem here is that it doesn't work well on closed surface seams (as far as the voronoi diagram is concerned, the surface stops at the edge) and that surface parameterization can distort the solution. If the surface is very stretched in one location and very compressed in the other, the voronoi edges will reflect that.

Ideally you'd solve the diagram in 2D while using a 3D carthesian distance metric rather than a 2D UV nurbs metric. But there is no algorithm in Grasshopper that does that.

--

David Rutten

david@mcneel.com

Tirol, Austria

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Thanks David! this is almost exactly what I was looking for. Many thanks!

How would you then turn these stray lines into cells or faces? I am guessing since each cell would share neighboring polylines this would not be possible. Any ideas?

Actually, there are 2 lines on top of each other. How can I find the lines of a cell and connect them?

Also I used the UV method from above

Weaverbird somewhat solved my problem except the holes are uneven. Is there another setup I could use?

Hi Lee,

Do you want to have each of these voronoi cells on the curved surface, in form of separate surfaces?

If that is so, then try the attached definition.

Attachments:

Why is it that i can only bake one surface at a time, though?

Is there anyway I can bake them altogether?

You can quickly bake stuff in multiple components just by selecting them all and pressing the INSERT key.

Thank you!

This my way, may be you like it.

Jacky whats the 2nd to last component called? "CST-C"

Thanks!

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