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The 8 x 8 x 8 cube consists of an array of numbers from 1 to 512, with no number missing or repeated. These numbers are specially arranged so that the addition of the eight numbers in any line, column or file totals 2052. “Similarly, the addition of any diagonal across any plane, including the four corner to corner diagonals, also total 2052. This is the conventional definition of a magic cube,” Linton said. This cube remains magic even when one of the faces is moved parallel to itself, top to bottom, side to side or back to front. A cube that does this is known as pan-diagonal. The eight corners of any cube within the cube sum to 2052, he said.

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