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May 29, 2021 at 19:02 comment added Nandakumar R Thanks. The fried potato problem seems to be related to the plank problem. And the plank problem appears related to the question of minimizing among the pieces of the highest least width. So, one part of question 3 above might have a ready answer. But as was mentioned in the previous post in this series (link above), maximizing the minimum least width among pieces might be different.
May 29, 2021 at 8:48 history edited Nandakumar R CC BY-SA 4.0
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May 29, 2021 at 6:02 history edited YCor CC BY-SA 4.0
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May 29, 2021 at 5:33 comment added Anthony Quas I just supply a reference in case it’s relevant: John Conway posed what he called the fried potato problem, where you are given a convex body and asked to slice it minimizing the radius of the smallest ball it contains.
May 28, 2021 at 21:35 history asked Nandakumar R CC BY-SA 4.0