I have this image/idea in my head of a recursive function that is essentially a sine wave that is composed of itself. Bear with me as I am not entirely sure of the terminology to use.
The closest I can figure is something like sin(x)/4 + sin(x/16), but if you were to "zoom in" on one period of the "inner" wave, it would be made up of more waves, and likewise if you zoom out.
Is there a name for this equation/this type of equation?
I know this is pretty vague, so feel free to ask for more information.