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Rectangles in Rectangles

โœ Scribed by John E. Wetzel


Book ID
111945765
Publisher
Mathematical Association of America
Year
2000
Tongue
English
Weight
847 KB
Volume
73
Category
Article
ISSN
0025-570X

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We show that the way to partition a unit square into kZ + s rectangles, for s = 1 or s = -1, so as to minimize the largest perimeter of the rectangles, is to have k -1 rows of k identical rectangles and one row of k + s identical rectangles, with all rectangles having the same perimeter. We also co