## Problem of the Day #72: Cake Explorer
*May 30, 2011*

*Posted by Saketh in : potd , trackback*

Mitchell is trapped in a tetrahedral cake and wishes to scout for an exit by launching four probes, one aimed at each vertex of the cake.

Determine the point inside the cake where he can position himself such that the sum of the distances traveled by the probes is minimized.

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