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Magic, but limited (Posted on 2010-11-12) Difficulty: 2 of 5
A magic hexagon of order n is an arrangement of numbers in a centered hexagonal pattern with n cells on each edge, in such a way that the numbers in each row, in all three directions, sum to the same magic constant.
A normal magic hexagon contains the consecutive integers from 1 to 3nē-3n+1.

Prove that the normal magic hexagon exists only for n=1(trivial) and n=3. http://mathworld.wolfram.com/MagicHexagon.html

No Solution Yet Submitted by Ady TZIDON    
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  Subject Author Date
SolutionFull solutionJer2010-11-12 16:04:01
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