[Origami] Explosion at the origami factory (origami cartoon sighting)
Yesterday's Brevity comic: http://www.gocomics.com/brevity/2015/01/31 http://havepaperwilltravel.blogspot.com/2015/02/sunday-funnies_6.html michael http://havepaperwilltravel.blogspot.com/search/label/cartoons
Re: [Origami] Self similarity in a smaller scale models
On Thu, Jan 29, 2015 at 6:36 AM, Garibi Ilan garibii...@gmail.com wrote: I am about to teach the concept of self similarity in origami. (snip) Do you have any idea what is the simplest model to demonstrate this concept? Hi Ilan, It's very simple to create a self-similar spiral from any triangle of paper-- Tomoko Fuse has explored this construction more thoroughly than anyone else that I know of, though I don't know whose idea it was originally. Start with a skinny triangle, and fold a line perpendicular to one of the long sides. Where that line hits the side across from it, again fold a line perpendicular to that side as well. Repeat until it gets too small to continue. If you're looking for something a little more involved, I have an old model from 2007 which is similar in concept to the models you mentioned, but still relatively simple: https://www.youtube.com/watch?v=Vox2bKkrEyo --Andrew __ http://www.flickr.com/photos/ahudson http://ahudsonorigami.wordpress.com/
Re: [Origami] Self similarity in a smaller scale models
...all of these models fail the most basic test for self-similarity... at best we can say that each of these displays self similarity at a single point. A *very* simple and truly self similar model is the dragon curve from a strip of paper. A *very* complex and hard to execute model would be a Menger sponge. If I define a measure as being 1 at the tip of a petal of a hydrangea and 0 everywhere else, the fractal dimension of an infinite - stage model is zero everywhere ... except right at the center, but that is a finite set, so the overall fractal dimension is the same as for a point. Best, Galen Pickett https://www.etsy.com/shop/GeometricOrigami
