Ken's POTW
A Magic Cube
In a 3x3x3 cube, there are 27 unit cubes. Is it possible to put the
numbers 1 through 27 into the cubes such that the sum in any line of
three cubes is the same? If so, show how.
If not,
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Can a different set of 27 unique numbers be found to fit the
requirements, or can you prove such a cube cannot be made?
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What is the configuration which comes closest to a magic cube (i.e.
all faces are magic squares, or all rows and columns in each direction
have the same sum)?
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This is open ended, so please send in any related information.
Source:
Original, with influence from many puzzle sources.
Solution
Mail to Ken