Inspired by [url=https://www.reddit.com/r/interestingasfuck/comments/848bxq/one_in_the_same/]this gif on reddit[/url].[br][br]What do you see here? A bunch of points moving independently, carefully choreographed to barely avoid collision? Groups of points rolling clockwise? Groups of points rolling counterclockwise? A 3D (or 4D) shape morphing in space?[br][br]Click/tap the "change display" to cycle through numerous settings that may change how you perceive this shape. Then check/uncheck the individual toggle boxes for more viewing combinations.[br][br]The default "config (3, 4)" setting reflects the geometry of the gif on reddit, but slide to see different geometries.[br][br]The checkbox beside "change display" automatically cycles through the display and "config" settings.

Gotta admit I can't quite figure out how the gif on reddit achieved the star shape (with straight sides) in the end, whereas my construction yields a slightly curvaceous [url=https://en.wikipedia.org/wiki/Hypocycloid]hypocycloid[/url] like you might draw with a [url=https://en.wikipedia.org/wiki/Spirograph]Spirograph[/url].[br]I don't even have a hunch whether the motion of the points is truly defined differently or whether a little computer graphics trickery in the gif is at play. I'd be interested if someone could clue me in, but on the other hand I don't mind when a little mystery remains at the end of a Mathematical excursion.