Trying to extrude the Voronoi lines

Grasshopper
1

I am trying to extrude the Voronoi lines so that I get the side surfaces. But this requires that I have a normal vector for each cell. This trick didn’t work because Voronoi cells are not planar. I ended up using scaling the center points for the vector. But unfortunately this completely skews the side surfaces in some areas.
voronoi.gh (87.7 KB)

Capture
Capture1581×843 219 KB

Simply, does anyone have a solution to extrude the cells?
I am actually looking for such a model.

fsdbfb
fsdbfb477×599 32.7 KB

2

voronoi Edited v0.gh (88.8 KB)

image
image2388×841 281 KB

1 Like
3

thank you so much @Quan_Li
but i think two problems is seen in your model
first, the extruded cells thickness is not different. it is wished that an attraction point was existed to pull the thickness of cells differently

and second, the rows placed on the floor is not flat however i know its algorithm is complex

is there any solution ?

4

Hi @user135 Is this what you’re looking for?
voronoi.gh (94.0 KB)

image
image1916×880 269 KB

Cheers,
BVR

1 Like
5

Do the following:

  1. Create FLAT Vor Polylines. Exclude (or not) the Polylines in contact with the Rectangle frame (used to provide the Surface for the rnd Vor pts).
  2. Morph “map” these to the target surface (that’s waay faster than Morphing Breps out of these Polylines). In fact you can Morph only the Poly pts (suitably sampled in a Tree). That’s way faster.
  3. From each current Poly pt (from 2) get the Surf Normal and the previous/next pts and the Bisector Vector ( i.e. previous - current, next - current Vectors).
  4. Use basic trigo to define the thickness using the Bisectors.
  5. So … per Segment you have 4 points: current, next, next acc 4, current acc 4 and their positions from the equivalent Normal Vectors (from 2). So you can create a Solid (or better/faster a Mesh) on a per Polyline and Segment basis.
  6. This allows to build self supporting/stand alone “rings” per Vor Polyline that is way easier to assemble - in real life - than creating Solids/Meshes per common (adjacent) Polyline/Polyline segment (that requires rather complex invisible joints).
  7. In fact in real-life this requires torsion free beams/Items … but this is another animal (solvable via K2).
1 Like
6

image
image1916×880 179 KB

This might not be the actual solution you’re looking for but I hope this helps
Check this thread:

1 Like
7

thank you @ajarindia
your first try all cells was in one direction that it wan not my solution
but the second solution is thing that i want but considering the real image in the first topic, the amount of extrusion for each edge is different ; how we can do this?

by the way, can share the gh file to me?

thanks

8

thanks

from step 2, this is difficult

9

It’s very very easy … provited that you know how to code (but alas this is not your case). Since using native components is not my game I don’t know how to do it that way.

Anyway I could provide an indicative C# solution - MINUS the torsion free part that is strictly internal (but if memory serves well in the past Daniel posted something similar but I can’t recall the thread name).

BTW: since “exact” mapping of the 2d Vor Polylines has no meaning (at all) mapping just Poly points is the way to go.

BTW: I hate Voronoi for real-life things (in the broad AEC BIM market sector). One of the reasons is that you MAY arrive into Polylines with tiny segments (that obviously can’t yield a real-life piece/beam of something [done via wood/glass/metal/plastic/whatever]). One way to deal with that is to use a randomly distorted ortho Pt grid instead of “true” random points.

1 Like
10

dear @ajarindia
can you share this file to me?
thanks in advance

11

Hi,

Unfortunately I didn’t save the script.

Check the thread I mentioned there. I used the script by @HS_Kim download it and do a slight modification to achieve the result.

1 Like