On the other hand, there's a whole lot of magic hexagons (36 in fact) with the numbers -4,-3,-2.,14. Although there's a magic hexagon with the numbers 1,2,3.,19, it can't be turned into a magic hexagon with the numbers 1,3,5,7.37, in fact, there isn't one with these numbers. in disguise : to get the former from the latter, you just have to multiply each number by two, then subtract one. If you try to use different "constant difference" sequences to form magic squares, you don't get anything new. Magic hexagons become even more interesting if you decide to use other numbers, say 0,1,2. Well, that's not quite true - there's also the simple magic hexagon below :Īdmittedly, that's not the most interesting mathematical thing in the world, but it is a magic hexagon!
If you stick to the numbers 1,2,3., there's only one magic hexagon, the one given above. As you increase size of the magic squares you're looking for, the number there are to find keeps on going up and up. For example, there's only one 3x3 magic square with the numbers 1 to 9, but there are multiple 4x4 magic squares with the numbers 1 to 16, and even more magic squares with the numbers 1 to 25, and so on. In some ways, Magic Hexagons are more interesting than magic squares. into a grid, with each row and diagonal adding to the same number - but this time, the grid is a hexagonal grid. Magic Hexagon puzzles are based on the same idea - arrange the numbers 1, 2. For a long time, this website has had a whole bunch of Magic Square Worksheets and other information about magic squares.
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