Sierpinski carpet

Replies to This Discussion

Permalink Reply by peter fotiadis on December 14, 2016 at 12:41pm

This is a classic simple fractal case.

Imagine a function dividing a rectangle into 9 pieces and skip the one at the center. Then you feed the remaining 8 into the same function that does the division ... and the "loop" process repeats until a stop condition (say: N of "loops") is satisfied. This is called recursion (a function calls itself, that is).

The "trad" way to do fractals is via code (GH is a-cyclic). Notify if you think that an example of that kind could be useful to you.

Permalink Reply by Ponnou on December 14, 2016 at 12:59pm

Thanks for the reply. 
Yeah an example could be really helpful please! 

Permalink Reply by peter fotiadis on December 14, 2016 at 1:07pm

OK, I'll do a freaky S carpet thingy tomorrow.

Permalink Reply by peter fotiadis on December 14, 2016 at 1:04pm

BTW: speaking about fractals have some fun with 2 simple cases (nothing to do with carpets and "normal" GH components ... but fun is fun, he he). In the IFS definition TAKE EXTREME care with the generations value.

Your carpet case (plus a lot of other possibilities) could easily been "derived" from the inscribe def with a few mods.

Attachments:

• Fractal_Inscribe_V1.gh, 233 KB
• IFS_divideCurve_V2.gh, 131 KB

Permalink Reply by Ponnou on December 14, 2016 at 1:20pm

Haha wow that's cool, i'll take a look on this! Thanks!

Permalink Reply by Laurent DELRIEU on December 14, 2016 at 2:06pm

Here a solution using components and anemone in order to have some recursion.

http://www.food4rhino.com/app/anemone

It cuts the surface in nxn parts (n=3 for Sirpienski) and suppress the part(s) you want. 

It could be used on whatever surface as long as it is not trimmed (cut)

Permalink Reply by Laurent DELRIEU on December 14, 2016 at 2:23pm

Some change on record of Anemone, one record all (the holes) and one doesn't record. 

Permalink Reply by Laurent DELRIEU on December 14, 2016 at 2:48pm

I put a stop condition when there are more than 1000 surfaces.

Attachments:

• serpienski.gh, 19 KB

Permalink Reply by Ponnou on December 14, 2016 at 4:15pm

Wow that's perfect!!!! Thanks a lot, i have one base right here and i can experiment a lot with this. Thanks again

Permalink Reply by Laurent DELRIEU on December 15, 2016 at 9:31am

Some others examples, here with different subdivision in U and V 

, more in the spirit of Christmas