This is just a request for clarification, an attempt to penetrate the notation.
Is this what you have in mind? If so, 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.
<br />&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;![ngon right angles][1]
<hr />
After the OP's correction of the problem statement:
<br />&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;![ngon corrected][2]


  [1]: https://i.sstatic.net/DnZT8.jpg
  [2]: https://i.sstatic.net/fDUE7.jpg