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(1/3) For those of you wondering what I have been talking about when mentioning using #polygonSquiggles and #wedgeSquiggles in my art, here is a bit of stuff that I wrote about how the idea developed.
(3/3) A bit more on this construction (I even tried it by hand with ruler and compass 😁), specifically for a case where the angle is not a divisor of 360°. I end up with two different "complementary" "linear" squiggles, but they still satisfy that weird angle relationship.
Have you encountered these squiggles anywhere else? They appear to have a bit in common with meandering rivers https://divisbyzero.com/2009/11/26/the-geometry-of-meandering-rivers/ , but I don’t know if the squiggles that I play with have been investigated elsewhere.
(2/3) In these pages, I look at what happens if I change the sequence of numbers that I use to construct the squiggle from the simple 1,2,3,…,n. I also take a look at why for ‘linear’ squiggles, the centers of rotation of the parts of the squiggle lie on one of two lines.
#polygonSquiggles #wedgeSquiggles #mathart #mathsart #geometry