Consider this image below.
Its a magic hexagon using repeated digits to create a magic sum of 10.
All rows columns and diagonals, meaning the cells in any straight line through the hexagon in any direction will sums to 10.
Because some lines through the hexagon have 3 cells and some have 4 cells and some have 5 cells. Filling the grid with all 1s will not produce a magic total with everything summing to the same number.
What is the smallest magic sum that is possible where all direct lines through the grid have the same sum.?
Repeated digits are allowed.
Is the above image the smallest?