Maths Coursework - T-Shape

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Maths Coursework

T-Shape

There have been a number of ways in which I have looked at to tackle this task. One of which is trying to find a correlation between T numbers and T-Totals for a vertically standing T (e.g. T) on a 9x9 grid (randomly selected):

And I obtained this graph from the results:

I had found this quite surprising and so I did the same for a T shape rotated at 180°

These results were very interesting. I found that both of the gradients were 6. But the intercepts through the y axis were different yet they did correspond with each other because the original T-Shape intercepted the y axis at approximately -113 and the rotated T-Shape graph intercepted the y axis at approximately +113. Therefore I can give two statements for my conclusion:

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  1. y = 6 x + 113                        For the rotated T (by 180°)
  2. y = 6 x  - 113                        For the original T (e.g. facing this way T)

But I decided to try some other methods just to see how I could use the information in different ways.

I decided to try an Algebraic Method.

 

I have found the following correlation:

This correlation has helped me to find a suitable equation to find the T-Total (T-Total = T + T-9 + T-18 + T-26 + T-27 + T-28  = 6T – 108). I have ...

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