Maths Coursework - T-Shape

The first 200 words of this essay...

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):

T Number

29

57

41

79

T Total

66

234

138

366

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°

T - Number

2

22

24

53

T - Total

120

240

252

426

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:

1. y = 6 x + 113 For the rotated T (by 180°)