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Archive: November 14, 2003

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Hexagonal Cubic Bisection

Friday,  11/14/03  11:46 AM

hexagonal cubic bisection

I asked:

"Imagine a cube, which is going to be cut in two by a straight saw cut.  The saw-cut section, the raw face of the cut, can clearly be of various shapes, a square, or triangular (if a corner were cut off).  How would you cut the cube so that the section may be a perfect plane hexagon?"

I know you've been waiting with bated breath for the answer.  Here you go.

Bonus questions:

  1. Can a cube be sectioned in such as way as to create a regular pentagon?
  2. It appears this cut has the greatest area of all possible sections.  Can you prove it?


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