-
y = 6 x + 113 For the rotated T (by 180°)
- 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 tested this equation only on a 9x9 grid and it has worked fine, only as long as:
- The T is in a 9x9 grid
- The T remains facing vertically (e.g. like “T” is here T)
- The T remains the same size/shape
After discovering this, I decided to investigate how this equation is affected on a larger grid. I decided to investigate this on a larger grid because I found it quite ironic that the numbers involved in the equation on the 9x9 grid are quite closely related to 9. So therefore I would predict this to be the outcome:
After testing this by putting the numbers in:
I found that my assumption was right. To make sure that this discovery is not just a coincidence I tested it on a 25x25 grid.
After testing I found that my theory was true. Now from finding the correlation between grid size and T-Total I can give a new expression
T + (T-G) + (T-2G) + (T-3G) –1 + (T-3G) + (T-3G) + 1 = T-Total
6T – 12G= T-Total
(Where T = T number and G = grid length/width)
Now I have found an equation that works only under the following rules:
- The T remains facing vertically (e.g. like “T” is here T)
- The T remains the same size/shape
Now this means that I have unleashed one of the barriers. As this equation will work any where on a grid and no matter how large/small the grid is.
I now I want to find out what happens when I rotate the T by 180° so I will use the method I used last time to see what I will find:
These results are somewhat exceedingly fascinating. They show that the equation to this:
T + (T+G) + (T+2G) + (T+3G) – 1 + (T+3G) + (T+3G) + 1 = T-Total
6T + 12G = T-Total
(Where T = T number and G = grid length/width)
I’m now going to rotate the T by 90° and find what I get:
Which is unsurprisingly:
T + T + 1 + T + 2 + T - G + 3 + T + 3 + T + G +3 = T-Total
6T + 12 = T-Total
(Where T = T number and G = grid length/width)
And so:
Is:
T + T – 1 + T – 2 + T – G – 3 + T – 3 + T + G – 3 = T-Total
6T – 12 = T-Total
(Where T = T number and G = grid length/width)