A [url=https://www.geogebra.org/eulerfunction]new follower[/url] of mine made a copy of an inconspicuous worksheet [url=https://www.geogebra.org/material/show/id/2160977]"RAINBOW SNAKE!"[/url].[br]The preview image only shows a red dot, so it received little attention.[br][url=https://www.geogebra.org/jelle+torres]Jelle Torres Ruano[/url] had a brilliant idea: Let some points follow each other[br]at a rate that is proportional to their mutual distance.[br][br]This worksheet is an edited version of that "RAINBOW SNAKE".[br]I added a parametric function to let the first red point follow a cyclic traject.[br]A speed slider to change the speed of the leading red point and two check boxes:[br]"Animate" to start and stop animation and "Trace" to draw to path of points.[br][br]The real fun is that almost everything is done with the functionality of sliders.[br]No complicated formulas are used to calculate the position of the following points.[br]See also how fast everything recovers after disturbing the movement of a slider.[br]I like the movement without the trace. The snake seems to move in a 3-dimensional space.