(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.

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(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

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I know that I posted this one earlier, but I just noticed that I had put ‘@‘ symbols instead of ‘#’ on the hashtags 😊, so that is now fixed.

A 22-fold rotationally-symmetric thing with most of a 22-fold rhombus rosette in it.

#mathart #mathsart #rhombuses #rhombi #rhombusRosette #symmetry

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An 11-fold rotationally-symmetric thing with a 22-fold rhombus rosette in it.

#mathart #mathsart #rhombuses #rhombi #rhombusRosette #symmetry

To me this looks like a 2D slice traversing through a higher dimensional object with the following properties:

-Based on 4-fold rotational symmetry

-The rotational symmetry smoothly rotates about fixed point in at least one dimension

-It is periodic in at least three dimensions, and two of those dimensions share a period (X/Y in this slice)

More from the investigation of #CairoTiling animation on a grid. What do you see?

I was working on these because of the #SwirledSeries prompt from @csk a couple of years ago.

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Another #CairoTiling-on-a-grid clip. This one looks at the irregular pentagons moving around.

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Sifter of patterns, collector of books, maker of jigs, random math weirdo, writer, artist, poet, musician, polymath...(location: Hopefully with Wonko the Sane)

Joined Apr 2022