Seamless pattern

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

is this pattern can use grasshopper to make Seamless pattern?

Replies to This Discussion

Permalink Reply by Laurent DELRIEU on August 3, 2016 at 9:54am

Hello,
It is almost possible to do everything with grasshopper, many components, programmation in VB C# Python ... The problem here is the beginning, do you have an algorithm to do such a pattern ? Interesting pattern in did but it doesn't seem easy to make ? Do you have some references, always good to known where it comes from ...
The best I can propose to you is that
http://www.grasshopper3d.com/forum/topics/inflating-closed-polylines
But you need to have elongated closed curves.

Permalink Reply by chih fan on August 3, 2016 at 10:41am

Laurent thanks.

Yes I did an algorithm ,is Chinese ice-ray lattice.

But it seems not could be Seamless pattern, and how do i change every shape's cusp to be crooked like imagine?

Attachments:

iceray.ghx, 109 KB

Permalink Reply by Laurent DELRIEU on August 3, 2016 at 12:56pm

On way to make seamless pattern is to make it on a torus. Imagine you connect the sides of the rectangls, first it becomes a cylinder and then a torus.

For the bend shape you could use ceramick crack, it looks like a bit.

http://www.grasshopper3d.com/forum/topics/has-anyone-tried-this-cer...

http://bbs.shaper3d.com/thread-24999-1-1.html

Permalink Reply by Laurent DELRIEU on August 3, 2016 at 2:43pm

Here an example of pattern from a torus (in XY plane) to a plane :

first I cracked a torus (big diameter of 20 and little diameter of 10)

I extracted all the curves, cut them with a plane XY and XZ, so separated the curves in 4 groups. The control points of these curves were transformed in radians between 0 and 2PI, sort of UV.

This gives me that, torus induce some distorsion which surely could be corrected, scale in U and some stretching in V.

And this could be arrayed

Permalink Reply by chih fan on August 4, 2016 at 4:14am

I extracted all the curves, but how could I cut them with a plane XY and XZ?

Permalink Reply by Laurent DELRIEU on August 4, 2016 at 5:12am

I cut the curves in rhino with 2 planes surfaces
I will send you the file to unfold the torus.
In order to have less distortions it could be better to lower the little radius.

Permalink Reply by chih fan on August 4, 2016 at 9:46am

OK, Laurent thanks.

May I ask other question? How could I use this 2D pattern transform to 3D, like topic imagine?

Permalink Reply by Laurent DELRIEU on August 4, 2016 at 10:52am

You could look at that
http://www.grasshopper3d.com/forum/topics/puffing-of-flat-surfaces-...
PS I will publish tonight a method to transform curves on a torus to a rectangle

Permalink Reply by Laurent DELRIEU on August 4, 2016 at 3:02pm

No time to write to much. I have a bug , but it seems more a Rhino/GH bug !

This GH cut a torus with planes or cylinder and flatten the result on a plane. SO it could be used to generate seamless patterns.

Attachments: