T Number example essay topic
391 words
Translate the T-shape to different positions. Investigate relationships between the T-total and the T-number and the grid size. 3) Use grids of different sizes again, try other transformations and combinations of transformations. Investigate relationships between the T-total and the T-number and the grid size and the transformations. First is the T-shape in question: 123 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.
Ill put that idea into another T. Note W = width number (9) N- (2 W-1) N-2 WN- (2 W+1) N-W N This i the same thing as before but shown algebraically. The formula for the Value of the T-total now is shown as: 5 N-7 W = T-total Aim 2- different sizes and relationship I know this works for the grid 9 by 9 but Im not sure if itll work for any other grids. Method test (695) -70 = 275 YES it worked My method seems to have worked out as it is logical and fairly straight forward to explain. So 68 is 10 less than the T-number 78. If you calculate the whole T you realise that row 2 is 10 less than row 1 and row 3 is 20 less than row 1, but there are three relevant numbers in row 3 which are 19 less and 21 less than the T-number. St 64 = 26+27+28+29+30+40+52+64 = 296 I think I can work out the formula using my previous method so: 12+24+36+ (436) = 216 21612 = 18 This means the formula is: 8 N-18 W = T-total 8 N = number of integers in the T-shape 18 W = difference number calculated Conclusion: The size of the T-shape calculates the number before N in the formula and the grid size calculates the value of W. the number before W is calculated by looking at the rows and finding how many rows away from the T-number they are.
If the T is regular then the W number is negative but if the T is flipped upside down the W number is positive.
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