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T-Totals

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For this Piece of coursework I am going to investigate T-totals in relation to the T-number on different sized grids. I am then going to investigate the relationship between the T-total of a T-shape in 1 area of a grid to when it is translated, using any vector, to another area of the grid. 7 8 9 13 18 A T-shape consists of five numbers, when added together theses numbers create the T-total. The T-number is the number at the bottom of the T-shape. E.G. - The T-total for this shape would be 7+8+9+13+18 = 55 - The T-number for this shape would be 18 Throughout this Coursework I will refer to the T-total as 'T' and the T-number as 'N'. I started by investigating the relationships on a 5x5 grid, making sure I worked in a systematic way in order to make it easier to compare the results and discover a comparison. 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-number (n) T-Total (T) 12 25 13 30 14 35 I can...

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