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Dec 30, 2022 at 4:36 vote accept Nandakumar R
Dec 30, 2022 at 4:35 comment added Nandakumar R Ok. Moved the second question. Marking the present as answered - the base version has been settled.
Dec 29, 2022 at 18:47 history edited Iosif Pinelis CC BY-SA 4.0
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Dec 29, 2022 at 18:35 comment added Iosif Pinelis @NandakumarR : Asking multiple questions in one post is not encouraged on MathOverflow. So, can you move your second (much harder, I think) question to another post and wrap up the current one?
Dec 29, 2022 at 18:27 comment added Nandakumar R Thanks very much. I understand this construction confirms the guess made reg. the base version of the question. Look forward to answers on {area, perimeter} being kept constant during the morphing and other possible variants.
Dec 29, 2022 at 18:24 history edited Iosif Pinelis CC BY-SA 4.0
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Dec 29, 2022 at 15:31 history answered Iosif Pinelis CC BY-SA 4.0