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Another Fine Math You've Got Me Into. . . (Dover Recreational Math) Paperback – January 15, 2004
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Ian Stewart's book reminds me of those tests. Here's a sampling of what's inside:
1)Mrs. Anne-Lida Worm decides she wants a new couch, and tells Mr. Worm to get it for her, while she goes shopping for a new tight for baby Wermintrude. But Anne-Lina doesn't want just any couch. She wants the biggest possible couch that can be carried down the hall in their house, and around the 90-degree hall at the end. What shape does the couch have, and how big is it? This is a truly riveting story. Will Mr. Worm solve the couch problem in time?
2)Alberto wants to conduct tests on grapes, evaluating the influence of different soils. He wants to conduct experiments to see how different soils and exposure to the sun affects the quality of wine. His land is on a hillside, though, which is narrow, so he can plant only three varieties of grape on each plot of land. How can he arrange things so that he tests all seven varieties of grapes when they are arranged so that each plot contains exactly three different species, where any two plots have exactly one variety in common, and any two varieties lie in exactly one common plot?Read more ›