parametric escher's tessellation

Replies to This Discussion

Permalink Reply by isbahes on April 1, 2016 at 5:46pm

Hello,

I think the information and definition in this link could be helpful for you

http://www.designcoding.net/trifoliolate/

Permalink Reply by Laurent DELRIEU on April 3, 2016 at 12:21pm

Hello, 

you could also look at that :

http://www.grasshopper3d.com/forum/topics/scale-a-pattern-between-w...

Surely it is possible to do like that :

1. create a grid (hexagonal here)
2. Explodes curves (it will be a line) augment the number of control points 
3. Make a curve that will be your final shape (a sort of V here)
4. The idea is to morph between the first curve (a line if a classical grid) to the final curve depending of a coefficient depending on some attractors . Look at my example, the coefficient (slider) is 0 if first shape, 1 for final shape. What could be constant is begin and end of curve. 
5. After that you could add other morph to the complete geometry.

PS : have you some images of your "Argeles Pavillon" ?

Permalink Reply by Laurent DELRIEU on April 3, 2016 at 3:55pm

I used something like on the link above to morph 2 closed curves, but they could be open. 

http://www.grasshopper3d.com/forum/topics/morphing-2d-geometries

Permalink Reply by Vicente Soler on April 3, 2016 at 4:42pm

This should do the same thing as in your attached image.

Attachments:

• escher.gh, 12 KB

Permalink Reply by naam ben shalom on April 7, 2016 at 3:23am

thank you that was really helpful!

can you please explain what the commands are doing or the process of your thinking because there are a few commands whom their effect i don't understand

(such as point-charge, repeat and the multiplications you have done)

 thank you for your help :)