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Part 1. The investigation into the relationship between the T number (N) and the T total (Tt). The T number is said to be the number at the bottom of the shape when it is in this shape. The T number always stays as the same box even if rotated. The T total is the sum of all the 5 boxes. T I firstly want to find the relationship between the T number and the T total in a 10 x 10 grid, and then in any grid. 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 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 T number T total Increase 22 40 23 45 5 24 50 5 25 55 5 26 60 5 27 65 5 28 70 5 From these results I worked out that the Nth term was 5Tn - 70. However this only applied a 10 by 10 grid and so if I wanted a formula that applied to any grid then I would have to make all the parts to my formula dependant upon the grid size. For this I needed some new lettering. I needed letters that...

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