# Proof whether or not 1/k by 1/(k+1) rectangles fit inside a unit square

I am reading Concrete Mathematics and came across an interesting problem, number 37 of chapter 2. The answers to exercises lists no known answer to this problem:

• Will all the 1/k by 1/(k+1) rectangles, for k $\ge$ 1, fit together inside a 1 by 1 square? (Recall that their areas sum to 1)

My question is: Has a solution been found in the years after the book's publishing? Mathematics is a very large field, and much of the terminology that might aid in googling I am not yet aware of.

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This is one of my favorite problems. –  Grumpy Parsnip Jan 7 '11 at 23:23
If you find a solution, please let me know :-) –  Derek Jennings Jan 8 '11 at 8:46