The Learning Edge

A rectangle R is tiled by smaller rectangles, each of which has either an integer height or an integer width (or both). Prove the rectangle R also has an integer height or an integer width (or both). Blog post (text/image solution): http://wp.me/p6aMk-4oi There are actually many ways to solve this problem. Here are 14 proofs:, […]

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Jim Stein is a Professor of Mathematics at California State University in Long Beach. A graduate of Yale University with a doctorate from the University of California at Berkeley, Jim has written 30 technical articles on mathematics and several books explaining mathematics for general audiences. His books How Math Explains the World and How Math […]

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