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Why Is a Rectangle Not a Square?

โœ Scribed by Helen Fecher Alexick and F. Richard Kidder


Book ID
125083089
Publisher
National Council of Teachers of Mathematics
Year
1979
Weight
373 KB
Volume
27
Category
Article
ISSN
0004-136X

No coin nor oath required. For personal study only.


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We show that a square-tiling of a p\_q rectangle, where p and q are relatively prime integers, has at least log 2 p squares. If q>p we construct a square-tiling with less than qร‚p+C log p squares of integer size, for some universal constant C.