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Maximum-Surface Flat-Bottomed Structure

  1. Jul 16, 2012 #1
    For a given volume, what (regular) geometrical shape would yield a maximum surface area of a flat-bottomed structure (ie, building for example)?

  2. jcsd
  3. Jul 16, 2012 #2
    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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