Press button in upper-left corner to cycle through various shapes.[br][br]Animation may be controlled with start/stop button. When stopped, you [math]\theta[/math] slider may be dragged.[br][br]Checkbox in lower-left corner toggles visibility of path that centerpoint traces out as function of [math]\theta[/math].[br]In the case of the regular Reuleaux polygon, the path looks sinusoidal, but it is not quite truly sinusoidal.[br]In the case of the regular polygon, the path looks like the graph of a sinusoidal function inside an absolute value function, but it is not quite truly that shape.[br][br]Also check out [url=https://www.geogebra.org/m/u4tghfgb]shape of constant width 3D (Meissner body)[/url].