Inspired by the Regolo54 piece at the top. Always amazing hand-drawn #mathart.
I started messing around with dynamicized symmetry and design. Got the spinning dilations looking okay, but not the intersecting. Gan’t get the spiral piece on the ones that look like they’re intersecting. Fun to play, though.
Inspired by a drawing
by @regolo54 (sooo much more elegant than this). This applet rotates a quadrilateral
around a point and then draws shapes among the intersections. Pretty
fun to play with; on GeoGebraTube.
The option checkbox does polytopes on all the intersections, and the more checkbox sometimes adds a few more.
There’s a tool for making or adding your own. Select the center, then enter how many (N for the slider) and then three vertices for a triangle.
I saw a neat image at the dailyminimal tumblr, (greyscale image above) that got me playing around with these petals. I decided to make the arcs circular, with a control C to move the center, and B to control the angle of the arc. To get the fading effect I included a second slider to do the in between rotations, repeating to get more opaque.