The key to solving a difficult problem is to break it down into a series of smaller, more tractable, problems.

Here we start with a rectangular polygon. We shrink our polygon by some fixed amount (inset), and then pick a point inside it. We then send off rays in N evenly spaced directions and use these to split the polygon into N new polygons. Repeat the process, varying parameters such as how we pick our point or the angles of our projected rays, and see what emerges.

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