Grasshopper

algorithmic modeling for Rhino

Hello, i am grasshopper beginner, i'm so interested about geometry pattern.

is this pattern can use grasshopper to make  Seamless pattern?

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If you Want to learn, Try to find by yourself ;)
One good way is to select option in grasshopper were only selected component shows it's geometry. So it is useful to discover the transformation at each step.
You are almost there :)

Laurent Thanks.

I figure out it !!!!

It work successfully :)

May I ask another question?

now, the seamless pattern seems direct up.

Is that possibly 4 edge can be seamless?

For the questions below,

the pattern seems direct up, it is because of the stretching imposed by the passage from a torus to a square, it is the same for the map of the world. You can use non uniform scale, there is a slider in my script. You can also change a dimension of the torus. 

Here 4 edges can't be seamless, but you can cut, and use symetry/mirror to do that. I think it will not be beautiful. 

I use cut, but  seems to difficult. I can't figure out what your means.

And I try voronoi seamless, left side and right side can be seamless, but up and down can't. Do you know why?

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First, your Voronoi curves are not generated on a torus but projected on a torus so I propose you a more simple way to have a Voronoi on a torus, It will not be a real voronoi on a plane, because it will be curves not lines. But it could be fixed if necessary

1 Generation of a torus

2 Generation of Voronoi in 3d and calculation of intersection between cells and torus

3 Cut of the curves with 2 planes

4 Projection of the curves in XY planes between 0 and 2*PI

5 Scale in X of this pattern and array 

  • Main variables are
  • Little radius of torus
  • Number of points for Populate 3d component 
  • And the scale in X 

It seems quite a simple way to generate a Seamless Voronoi.

Happy ?

For the question about symetry, cut, rotate ... you will have to draw things , seek on internet ... figure it by yourself. 

Attachments:

OK, I got it! Thanks your interpret.

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