Sierpinski carpet

Hi eveveryone! I am an architecture student and a beginner on Grasshopper. I am trying to create a sierpinski carpet on grasshopper for a project but with no success. I found that there is the Weaverbird spierpinski carpet component but i can not understand how it works.
Can someone please help me to understand the process of how we can create the carpet with or without the component?

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.

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