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T-Total Introduction The T-Total investigation involves looking at the relationship between what are known as the t-number and the t-total in an n grid. The t-number can be thought of as the number at the base of the t shape, and the t-total the sum of all the numbers in the T. Therefore taking the following grid: n 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 The t-number is 31, grid size is 9 and t-total is 31+22+12+13+14=92 Therefore the investigation relies on investigating relationships between our three variables; t-number, t-total, and grid size. Further variable factors may be added along the way to increase the scope of the investigation. Variable Declaration Grid size n T-total t T-number x Individual numbers in 'T' a,b,c,d (see below) b c d a x Individual variables within the 'T' We shall first look at how we can derive t through looking at n and x. Contents Investigating t, n, and x 3 Verification 4 Alternate formula 5 Transformations 6 Vector Translations 8 Variable dimensions 9 Conclusion and Evaluation 11 Investigating t, n, and x The first logical step to finding t is to look at the individual values x,...

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