Title: KIFS and the "fold and cut problem" Post by: knighty on May 21, 2011, 08:47:36 PM I realized recently that there is a conection between KIFS and the "fold and cut problem". Basically, KIFS is an iterative application of that technique. Also, the foldings used with KIFS so far are really simple. There are other types of linear foldings that are already used in Origami and kirigami that have 3D (and nD) counterpart. I haven't tried them yet. Hopefully someone will be faster than me at this ;D.
Here are attached some fragmentarium scripts in order to illustrate the idea. Title: Re: KIFS and the "fold and cut problem" Post by: Syntopia on May 22, 2011, 12:41:56 AM Interesting!
I made a few examples - it seems stellation occurs a lot. (http://farm3.static.flickr.com/2406/5744488182_a6ca6bebb2_z.jpg) (http://farm6.static.flickr.com/5026/5744491566_ba6998322d_z.jpg) (http://farm3.static.flickr.com/2239/5744500072_d36736e21b_z.jpg) Title: Re: KIFS and the "fold and cut problem" Post by: KRAFTWERK on May 22, 2011, 07:53:36 AM Cool idea Knighty and beautiful renders I like to zoom into that second image. :beer:
Title: Re: KIFS and the "fold and cut problem" Post by: DarkBeam on May 22, 2011, 10:57:13 AM Leonardo da Vinci; Icosahedron drawing :D
(http://cache2.allpostersimages.com/p/LRG/13/1348/QDAS000Z/posters/leonardo-da-vinci-icosahedron-from-de-divina-proportione-by-luca-pacioli-published-1509-venice.jpg) Anyway those images look interesting but don't seem to show fractal detail, why? :-\ Title: Re: KIFS and the "fold and cut problem" Post by: Syntopia on May 22, 2011, 12:32:47 PM Leonardo da Vinci; Icosahedron drawing :D It seems a bit truncated :-) Anyway those images look interesting but don't seem to show fractal detail, why? :-\ I made them with a low (n=2-3) iteration count. For some parameter choices the structures turn to dust when the iteration count is raised, but it possible to find structures that converge into something solid (like the old KIFS). I'll post a few images if I get some time to explore the system. Title: Re: KIFS and the "fold and cut problem" Post by: knighty on May 22, 2011, 02:40:25 PM Anyway those images look interesting but don't seem to show fractal detail, why? :-\ I made them with a low (n=2-3) iteration count. For some parameter choices the structures turn to dust when the iteration count is raised, but it possible to find structures that converge into something solid (like the old KIFS). I'll post a few images if I get some time to explore the system. Thank you all for your interest. ;D |