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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 Example 1: T-number T-total 21 42 51 192 75 312 Example 2: Example 3: T-structure: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 T-structure for a 7x7 Grid Example 1: Example 2: General T-structure for any Grid size: N= T-number G= Grid size I have realised that the number above any T-number is the T-number minus the Grid size, in other words, N-G. To work out the T-total, just simply add everything in the T-shape. T-total= n+ (n-g) + (n-2g-1) + (n-2g) + (n-2g+1) T-total= 5n-7g I will check that this formula works for any size grid: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 T-total = 1+2+3+6+10= 22 Using the formula: 5x10=50 - (7x4) = 22 The formula works for this grid size. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 T-total = 7+8+9+13+18 = 55 Using the formula: 5x18=90 - (7x5) = 55 The formula works for this grid size as well. Translations: across 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 I will now investigate the formula for T-numbers when it is translated. When the T-shape is moved across 1, all the numbers go up by 1. The same rule applies for when it is moved across1, the numbers also go up...

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