Space filling / connect the dots random line

[stijnvanaardenne (stienfromarden)]

Hi, I am in need of some help with an idea I am working on. I want to create some gcode paths using some sort of space filling line; I am familiar with the Hilbert curve and differential growth but these two just don’t cut it for me…

I tried running a differential growth and lock the point onto a grid, almost what I need but the line crosses at some points and preferably I only have straight angles… (see image) so one would expect the Hilbert curve is what I need, but; I need about a 100 different layers, so Hilbert isn’t suitable for this.

So is anybody familiar with a way to populate a plane with a point grid and connect these points, without intersection and without diagonal lines, in a way where there is a different output every time I run the script? Or can help me get started…

• Stijn
  
  

[laurent_delrieu]

Hello,
you have this thread.

"spiralize" offset curves for fabrication

Hi, I want to modify these curves so I can use them as tool-paths. [image] The problem is though that due to the specifics of the fabrication process these can not be multiple curves – instead it has to be one continuous, smooth curve. The idea is to “sprialize” the curves like this: [image] For simple curves, with only one inner curve each it works like this: [image] >> [image] For curves with multiple inner curves I can’t quite figure it out. Has someone an idea to guide me in the…

If differential growth doesn’t work, there are some parameters to change to make it work, so post your file with geometry (size matters). I am quite sure we will make it work.

Create such a this pattern in grasshopper

So, I am trying to implement the ‘growth’ of a few concentric curves, as suggested by this Zaha Hadid work. One thing I am not understanding is how Kangaroo handles multiple curves in a tree structure. For example, say I have 4 concentric rectangles, as in the attached script, modified after Riccardo’s links to ‘folding curve on a surface’. Despite various attempts at a tree structure, the curves output are flattened, so I lose the distinction between the curves. An approach which might work,…

If you want perpendicular line, make a grid then a maze the offset the path of Maze with Clipper and the good option to have corner like corner and not arcs.

[stijnvanaardenne (stienfromarden)]

Sorry, I forgot to mention I need it to be a single, closed curve… or do you mean to make a constant curve by offsetting the maze?

[laurent_delrieu]

Offsetting makes it single and closed !

[stijnvanaardenne (stienfromarden)]

Exactly, that’s a neat solution. Thanks!!