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November 15, 2003

Brain Teaser II

David B. posted a nice puzzle the other day, asking you to imagine cutting a plane through a cube in such as way as to create a regular hexagon.  I'm sure you had fun with that one.

I have a couple of extra credit questions:

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

Enjoy!

Posted by ole at 10:25 PM