The 19 numbers 1..19 in the following hexagonal array sum to the same total (38) in any straight line -- i.e. this is a magic hexagon. THERE IS NO OTHER MAGIC HEXAGON OF ANY OTHER SIZE > 1 ! ^ ^ ^ / \ / \ / \ / \ / \ / \ . v v . | 18 | 17 | 3 | ^ ^ ^ ^ / \ / \ / \ / \ / \ / \ / \ / \ . v v v . | 11 | 1 | 7 | 19 | ^ ^ ^ ^ ^ / \ / \ / \ / \ / \ / \ / \ / \ / \ / \ . v v v v . | 9 | 6 | 5 | 2 | 16 | . ^ ^ ^ ^ . \ / \ / \ / \ / \ / \ / \ / \ / \ / \ / v v v v v | 14 | 8 | 4 | 12 | . ^ ^ ^ . \ / \ / \ / \ / \ / \ / \ / \ / v v v v | 15 | 13 | 10 | . ^ ^ . \ / \ / \ / \ / \ / \ / v v v