### Ultra magic 9x9 magic square

Use 2x the same of 2x different 3x3 magic square to construct an ultra magic 9x9 square.

1x number                                      +     9x (number -/- 1)                            =     Ultra magic 9x9 square

 1 5 9 6 7 2 8 3 4 1 8 6 1 8 6 1 8 6 1 68 54 6 70 47 8 66 49 8 3 4 1 5 9 6 7 2 5 3 7 5 3 7 5 3 7 44 21 58 37 23 63 42 25 56 6 7 2 8 3 4 1 5 9 9 4 2 9 4 2 9 4 2 78 34 11 80 30 13 73 32 18 1 5 9 6 7 2 8 3 4 6 1 8 6 1 8 6 1 8 46 5 72 51 7 65 53 3 67 8 3 4 1 5 9 6 7 2 7 5 3 7 5 3 7 5 3 62 39 22 55 41 27 60 43 20 6 7 2 8 3 4 1 5 9 2 9 4 2 9 4 2 9 4 15 79 29 17 75 31 10 77 36 1 5 9 6 7 2 8 3 4 8 6 1 8 6 1 8 6 1 64 50 9 69 52 2 71 48 4 8 3 4 1 5 9 6 7 2 3 7 5 3 7 5 3 7 5 26 57 40 19 59 45 24 61 38 6 7 2 8 3 4 1 5 9 4 2 9 4 2 9 4 2 9 33 16 74 35 12 76 28 14 81

The ultra magic 9x9 square is panmagic, symmetric, 3x3 compact and each 1/3 row/ column gives 1/3 of the magic sum (extra magic feature that each 1/3 diagonal gives 1/3 of the magic sum it is not possible).

9x9, Ultra magic.xls