Roll two points around two circles and see what patterns the segments make. Inspired by a FB post from Sue VanHattum.[br][br]The inner & outer numbers are the radii of the circles. Or you can drag the triangular points. The times number is to adjust how many times the points go around. Faster is a multiplier for the point on the outer circle. Otherwise they go at the same speed rather than the same angular velocity. [br][br]This also reminded me of problems like the Pentagram of Venus, which turns out to be the [url=https://boingboing.net/2016/02/03/mandala-pattern-traced-by-eart.html]source of the gif [/url]Sue posted! Cf. [br][br]I made an [url=https://www.geogebra.org/m/cURByeCn]applet for that one[/url] some time ago (or [url=https://mathhombre.tumblr.com/post/72460995962/pentagram-of-venussomehow-i-had-never-heard-of]with a link[/url] to John Carlos Baez's nice exposition). But I added the red point from blue perspective and vice versa to look at the connections. The path of the points from those perspective have interesting connections to the segment path!