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Gareth Jeffrey Thursday, 22 June 2006 T Totals I will be looking at T shapes on different sizes of grids and finding its formula for each separate sheet width and give a general formula. Then I will look at the formula for the shapes rotation, transformation, and reflection. 9 Wide Grids I will be looking at the similarities between the total of the numbers in the t and the number at the bottom of the t I will call N First I will use grid width 9 9 Wide Grids 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 Here is the formula for the numbers of the area that the T covers using the T-total to it. T20 = 1+2+3+11+20= 37 T total is 37 T This diagram shows all numbers in terms of N, this is used to work out the formula for a 9 wide grid. N-16 N-18 N-17 N-9 N All numbers are added up to get a general formula for any T on a grid width 9. Tn = n...

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