Maximum-Surface Flat-Bottomed Structure

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Islam Hassan
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For a given volume, what (regular) geometrical shape would yield a maximum surface area of a flat-bottomed structure (ie, building for example)?


IH
 
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A circle, normally. I would think this could be verified with a derivative proof (polygon with segments => infinity). Unless you want to get into the discussion of a circle having a fractal-based edge geometry.
 

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