[![enter image description here](https://i.stack.imgur.com/xXQSd.jpg)](https://i.stack.imgur.com/xXQSd.jpg)How the concentric super ellipses as shown in the figure can be divided into parts containing equal area such that the total area of the superellipse *A* = *A*1 + *A*2 + ... *A*n where *n* = 60 in the shown figure given its semi-major axis *a* and semi-minor axis *b*. The origin of the sectors lies at the center of the superellipse. Any help is appreciated.