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impossible geometry

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A mythical soccer ball 2011-10-27
Joel pose la question :
We've been working on this problem diligently and can't seem to come up with the answer book's answer. We think it may be wrong, yet want to check it with an expert. Here goes. The school's new soccer balls are covered with 64 regular hexagonal panels. Each hexagon measures 2 inches between opposite corners and 1.5 inches between opposite sides. What is the total surface area of the soccer ball?
Robert Dawson and Lorraine Dame lui répond.
 
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