I had this interesting thought today as I was playing with making images with mathematical expressions (vector images with graphing if you like) I wanted to to put a spiky thing (the sine curve) around a circle (to make a sun with its rays). However, I have no idea on how to wrap the sine function around the circle (that is it would look like if the x-axis was arranged into a circle and the sine function was graphed on this bent axis).
As I thought about this more, I even began to wonder how one would "Wrap" any arbitrary function/relation around another one, as it definitely seems possible, but it seems very hard to write down (I can easily draw a sine curve in a circle fashion, but I cannot write it's equation). It seems like, if this is possible, it would produce some very interesting curves. I tried to research but I couldn't even describe it properly, hence why I had to describe it with the x-axis.