Meet Magic Hexagon
We met magic squares. Today we meet Magic Hexagon.
Let order n = 3
There are 5 horizontal rows, each with same sum M = 38.
row 1: 3 , 17 , 18 M = 38
row 2: 19 , 7 , 1 , 11 M = 38
row 3: 16 , 2 , 5 , 6 , 9 M = 38
row 4: 12 , 4 , 8 , 14 M = 38
row 5: 10 , 13 , 15 M = 38
Total 38 x 5 = 190
All the numbers run from 1 to 19
sum of 1 to 19 = 19 x 20 /2 = 190
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There are 5 columns, from left to right with sum M = 38.
Lcol 1: 3 , 19 , 16 M = 38
Lcol 2: 17 , 7 , 2 , 12 M = 38
Lcol 3: 18 , 1 , 5 , 4 , 10 M = 38
Lcol 4: 11 , 6 , 8 , 13 M = 38
Lcol 5: 9 , 14 , 15 M = 38
There are 5 columns, from right to left with sum M = 38.
Rcol 1: 18 , 11 , 9 M = 38
Rcol 2: 17 , 1 , 6 , 14 M = 38
Rcol 3: 3 , 7 , 5 , 8 , 15 M = 38
Rcol 4: 19 , 2 , 4 , 13 M = 38
Rcol 5: 16 , 12 , 10 M = 38
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