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Covering a unit square

  1. Nov 28, 2006 #1
    Hello,

    A problem from Newman, which I posted at
    http://www.mymathforum.com/POW/POW1.pdf , asks to show that it is
    impossible to cover a unit square with 5 squares whose sides have
    lengths <1/2.


    It is possible to realize such a covering with 7 squares.


    What if we allow us only 6 squares ?


    JS,
    http://www.mymathforum.com
     
  2. jcsd
  3. Nov 28, 2006 #2

    StatusX

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    It's possible with 7 squares, as shown here.
     
  4. Nov 29, 2006 #3
    how can we prove that? any ideas?
     
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