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.