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Divide all the circles into segments, the number of segments for each circle is equal to its serial number, the inner most circle will be divided one time, it point of division is on the same direction from the centre point as the first division point of all other circles.

Now, there would be a shape that looks like something in the picture (not the best in the world) I uploaded:

Now, connect all of the points of divisions that is immediately next to the first points in the clockwise direction:

What would be the function of this curve.

I am asking this question in the context of writing a high school research paper, level of maths is up to calculus and complex number with some rigour, would it be possible to find a function to this curve using those?