This is just a request for clarification, an attempt to penetrate the notation.
Is this what you have in mind? If so: (1) the operation is not definite,
any point $P_{k+1,j}$ on the circle arc between $P_{k,j}$ and $P_{k,j+1}$ forms a
right angle; and (2) the subsequent polygons could be nonconvex.
But perhaps I am misinterpreting...
Joseph O'Rourke
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