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Combo cube

Posted on: March 24th, 2013 by
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Eight cubes are marked with one dot on two opposite faces, two dots on two opposite faces and three dots on two opposite faces. The eight cubes are put together to
form a 2 × 2 × 2 cube. The dots on each face of the large cube are counted, to get
six totals. Can the cubes be arranged so that the six totals are consecutive integers?

via AMS puzzle corner

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