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Jun 22, 2023 at 20:46 comment added Anton Petrunin @MikhailKatz good question. I do not see optimal formulation so far --- maybe one should use some kind of polyhedral homotopy (similar to def of tame knots).
Jun 18, 2023 at 16:00 comment added Mikhail Katz Anton, Is there a solution in the space of simple polygons? I wasn't able to find anything conclusive online for simultaneous deformation of polygons.
Jun 17, 2023 at 22:52 vote accept Mohammad Ghomi
Jun 17, 2023 at 13:20 history edited Anton Petrunin CC BY-SA 4.0
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Jun 16, 2023 at 21:41 comment added Mohammad Ghomi @John Pardon: Yes, by Caratheodory's extension theorem.
Jun 16, 2023 at 21:36 comment added John Pardon Is the conformal parameterization always continuous up to the boundary?
Jun 16, 2023 at 20:49 history answered Anton Petrunin CC BY-SA 4.0