Magic hexagon

The following figure is a magic hexagon: the numbers in any straight path through the figure add to 38, even though paths may have length three, four, or five.

I found this in Before Sudoku. The authors attribute it to Madachy’s Mathematical Recreations.

This is essentially the only magic hexagon filled with consecutive integers starting with one. The only others are rotations or reflections of this one, or the trivial case of a single hexagon.

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