T Total - Investigation into T-shapes
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| Submitted: Thu Jul 11 2002
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T Total - Investigation into T-shapes! Aim 1- the solution You need to draw your own grids T69= 50+51+52+60+69 =282 T22=3+4+5+13+22 =47 In the diagram below it shows the difference between the T-number and the other numbers. First is the T-shape in question: 1 2 3 11 20 This is the T-shape and here is the Difference T-shape: N-19 N-18 N-17 N-9 N This shows the difference N= T-number In the T on the previous page, I have noticed that the first difference from N is 9, which is also the Width of the square. I'll put that idea into another T. Note W= width number (9) N- (2W+1) N-2W N- (2W-1) N-W N This is the same thing as before but shown algerbrecly. The formula for the Value of the T-total now is shown as: 5N-7W=T-total Aim 2- different sizes and relationship I know this works for the grid 9 by 9 but I'm not sure if it'll work for any other grids. You need to draw your own grids T22=1+2+3+12+22 =42...


