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Re: Puzzled by a puzzle

  • To: mathgroup at smc.vnet.net
  • Subject: [mg113489] Re: Puzzled by a puzzle
  • From: Themis Matsoukas <tmatsoukas at me.com>
  • Date: Sun, 31 Oct 2010 02:06:55 -0500 (EST)

Fred,

If you look at the first two of your solutions, they are identical except that the combination of F and Z has been reflected. These two letters form an interlocking shape that is symmetric and remains the same under reflection. According to http://isomerdesign.com/Pentomino/ (see bottom of page, under Limitations of the Program"), solutions that are related by such elementary transformations are related and counted as one. I am no expert of any sort (first time I heard about pentominos, but found the problem fascinating) so you may still want to investigate this a bit further...

Themis


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