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| Heptagon in a Square (Posted on 2023-03-07) |
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Determine the side length of a regular heptagon having the largest area which can fit inside a square with side length 1.
Some thoughts
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 | Comment 1 of 14
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Assuming a heptagon with one of the sides oriented as a base (i.e parallel to and on top of) the base of the desired square would be incorrect, as then the largest horizontal chord across the heptagon would not be a maximum, nor would it be equal to the max vertical chord. So it seems that one needs to find the degree of rotation of the hexagon about its geometric center that would create maximal and equal horizontal and vertical chords.
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Posted by Kenny M
on 2023-03-08 06:35:00 |
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