Formula for 8x8 grid.
T-total=T+T-8+T-16+T-17+T-15=5T-56 5T-56=T-total
7x7 Grid
Formula for 7x7 grid…
T-Total=T+T-7+T-14+T-15+T-13=5T-49 5T-49=T-total
6x6 Grid
Formula for 6x6.
T-total=T+T-6+T-12+T-13+T-11=5T-42 5T-42=T-total
5x5 Grid
Formula for 5x5…
T-total=T+T-5+T-10+T-11+T-9=5T-35 5T-35=T-total
9x9 Grid Upside down
In my Research I have found that all you have to do is change the minus sign in the formula to add and I can find out the formula for the upside down T’s
To find out the formula I have used algebra
T-total=T+T+9+T+18+T+17+T+19=5T+63 5T+63=T-total
8x8 Grid Upside down
Formula for 8x8 grid
T-total=T+T+8+T+16+T+15+T+17=5T+56 5T+56=T-total
7x7 Grid Upside down
Formula for 7x7 grid
T-total=T+T+7+T+14+T+13+T+15=5T+49 5T+49=T-total
6x6 Grid Upside down
Formula for 6x6…
T-total=T+T+6+T+12+T+11+T+13=5T+42 5T+42=T-total
5x5 Grid Upside down
Formula for 5x5…
T-total=T+T+5+T+10+T+9+T+11=5T+35 5T+35=T-total
9x9 Grid to the Right
In my research I have found that as you decrease the grid size there is no change to the formula. I will therefore only do three grid sizes to prove my point.
To find out the formula I have used algebra
T-total=T+T-1+T-2+T-11+T-7=5T-7 5T-7=T-total
8x8 Grid to the right
Formula for 8x8 grid
T-total=T+T-1+T-2+T-10+T-6=5T-7 5T-7=T-total
7x7 Grid to the right
Formula for 7x7 grid…
T-total=T+T-1+T-2+T-9+T-5=5T-7 5T-7=T-total
9x9 Grid to the left
In my research I have found that like the T’s to the right the T’s to the left have no need to change to the formula. I will therefore only do three grid sizes to prove my point again.
To find out the formula I have used algebra
T-total=T+T+1+T+7+T+2+T+11=5T+7 5T+7=T-total
8x8 Grid to the left
Formula for 8x8 grid
T-total=T+T+1+T+2+T+6+T+10=5T+7 5T+7=T-total
7x7 Grid to the left
Formula for 7x7 grid
T-total=T+T+1+T+2+T+5+T+9=5T+7 5T+7=T-total
Final all round Formula:
After all my extensive research I have found the formula that will change any T- number in to it’s T-total…
T-total = T+ (T-9) + (T-18) + (T-19) + (N-17)
=5T-63
