Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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.

share|cite|improve this question
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

See this.

share|cite|improve this answer
The D.Jennings mentioned there is our very own Derek Jennings! – Aryabhata Jan 7 '11 at 23:15
@Moron: Yes it is! I said that in my answer but edited it. – PEV Jan 7 '11 at 23:18

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.