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Monthly Archives for February, 2014

Ant through a sphere

Posted on: February 1st, 2014 by
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An ant enters a spherical fruit at one point on the surface and exits at another point on the surface. In this process, the ant digs a trail of length 61 cm (not necessarily a straight line). The diameter of the fruit is 62 cm. Show that the trail must lie completely in one hemisphere. - via WU Riddles

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