T-Total = 4+5+6+11+17 = 43.
T-Number = 17. Suppose this as position number 4. Now let us check this by putting it in the table of results.
Now look at the position number 4. It is proved that the formula is right because it works properly.
No I will show you the other example of 7 by 7 square grid and I will show everything that I did in the 6 by 6 square grid.
This is a 7 by 7 square grid and the T-Shape is drawn for you in red. This shape is position number 1.
T-Total = 1+2+3+9+16 = 31.
T-Number = 16.
Now I move the shape right. So the T-Total and the T-Number change.
The shape in blue is the moved shape.
T-total = 2+3+4+10+17 = 36.
T-Number = 17. This is position number 2.
Now I move the shape right again. So the T-Total and the T-Number change as well.
So the shape in green is the moved shape.
T-Total = 3+4+5+11+18 = 41.
T-Number = 18.
This is position number 3.
Now I will show you the Table of Results to show you what I explained you in the whole process. This will sum up the whole example and will help you to understand.
By this table of results, the rule comes out as, the T-Total goes up by 5, and the T-number goes up as 1. Therefore the formula should be, N=5p+26. Now let Us test this rule and formula. I move the shape right again. So the shape in yellow is the moved shape.
The T-Total= 4+5+6+12+19 = 46.
T-Number = 19.
Count this as position number 4.
Now let’s check this by putting it in the table of results.
This proves that the formula is right because the position number 4 has come out right and so it proves that the formula is right.
No I will show you the other example of 8 by 8 square grid and I will show everything that I did in the other square grids.
This is an 8 by 8 square grid n I m going to show you the process of 8 by 8 square grid.
In the square grid the shape drawn in red is the T-Shape already drawn for you. Now I will find the T-total and the T-Number of this shape.
T-Total = 1+2+3+10+18 = 34.
T-Number = 18.
This is position number 1.
Now the shape in colour blue is the moved shape and I am going to show you the T-total and the T-Number of this shape as well. As the shape moves, the T-Total and the T-number change as well.
This is the moved shape in blue colour.
T-Total = 2+3+4+11+19 = 39.
T-Number = 19.
This is position number 2.
Now the shape in yellow colour is going to be he moved shape. So the T-Total and the T-Number is going to be different.
T-Total = 3+4+5+12+20 = 44.
T-Number = 20.
This is position number 3.
Now I will show you the Table of Results to show you what I explained you in the whole process. This will sum up the whole example and will help you to understand.
By this table of results, the rule comes out as, the T-Total goes up by 5, and the T-number goes up as 1. Therefore the formula should be, N=5p+29. Now let Us test this rule and formula. I move the shape right again. So the shape in green yellow is the moved shape.
T-Total = 4+5+6+13+21 = 49.
T-Number = 21.
Suppose this is position number 4. Now let’s put this in the table of results.
In this table of results the formula fits in correctly so it is proved that the formula is right.
No I will show you the other example of 9 by 9 square grid and I will show everything that I did in the other square grids.
This is a 9 by 9 square grid. And the T-Shape is drawn for you in blue colour.
T-Total= 3+4+5+13+22 = 47.
T-Number = 22.
Call this position number 1.
Now I move the shape and I move it right so the T-Total and The Number will change. The shape in red is the moved shape.
T-Total=4+5+6+14+23 =52.
T-Number = 23.
This is position number 2.
Now I move the shape right again so the T-Total and the T-Number will change as well. The shape in colour green is the moved shape now.
T-Total=5+6+7+15+24=57.
T-Number = 24.
This is position number 3.
Now I will show you the Table of Results to show you what I explained you in the whole process. This will sum up the whole example and will help you to understand.
By this table of results, the rule comes out as, the T-Total goes up by 5, and the T-number goes up as 1. Therefore the formula should be, N=5p+42. Now let Us test this rule and formula. I move the shape right again. So the shape in yellow is the moved shape.
T-Total=6+7+8+16+25=62.
T-Number = 25.
Suppose this is position number 4.
Now look at the table below.
In this table of results the formula fits in correctly so it is proved that the formula is right.
No I will show you the other example of 10 by 10 square grid and I will show everything that I did in the other square grids.
This is a 10 by 10 square grid. And the T-Shape is drawn for you in blue colour.
T-Total =
4+5+6+15+25 = 55.
T-Number = 25.
This is position number 1.
Now I move the shape right so the T-Total and the T-Number change as well. The shape in colour red is the moved shape.
T-Total =
5+6+7+16+26 = 60.
T-Number = 26.
This is position number 2.
Now I move the shape right again. So the T-total and the T-Number will change again. The shape is the colour yellow is the moved shape.
T-Total =
6+7+8+17+27= 65.
T-number = 27.
This is position number 3.
Now I will show you the Table of Results to show you what I explained you in the whole process. This will sum up the whole example and will help you to understand.
By this table of results, the rule comes out as, the T-Total goes up by 5, and the T-number goes up as 1. Therefore the formula should be, N=5p+50. Now let Us test this rule and formula. I move the shape right again. So the shape in green is the moved shape.
T-Total =
7+8+9+18+28 = 70.
T-Number = 28.
Suppose this is position number 4.
In this table of results the formula fits in correctly so it is proved that the formula is right.
Now I will show you the 11 by 11 square grid and I will show everything that I did in the other square grids.
This is an 11 by 11 square grid and the T-shape is drawn for you in blue colour. Now I will show you the T-Total and the T-Number.
T-Total = 3+4+5+15+26 = 53.
T-Number = 26.
This is position number 1.
Now I move the shape right so the T-Total and the T-Number change as well. The shape in colour red is the moved shape.
T-Total = 4+5+6+16+27 = 58.
T-Number = 27.
This is position number 2.
Now I move the shape right again. So the T-total and the T-Number will change again. The shape is the colour yellow is the moved shape.
T-Total = 5+6+7+17+28 = 63.
T-Number = 28.
This is position number 3.
Now I will show you the Table of Results to show you what I explained you in the whole process. This will sum up the whole example and will help you to understand.
By this table of results, the rule comes out as, the T-Total goes up by 5, and the T-number goes up as 1. Therefore the formula should be, N=5p+48. Now let Us test this rule and formula. I move the shape right again. So the shape in green is the moved shape.
T-Total = 6+7+8+18+29 = 68.
T-Number = 29.
Suppose this is position number 4.
Now let’s put this in the table of results.
In this table of results the formula fits in correctly so it is proved that the formula is right.
Now I will show you the 12 by 12 square grid and also show you all that I did in the other square grids.
This is a 12 by 12 square grid and the T-Shape is drawn for you in blue colour. Now I will show you the T-Total and the T-Shape of this T-Shape.
T-Total = 2+3+4+15+27 = 51.
T-Number = 27.
This is position number 1.
Now I move the shape right so the T-Total and the T-Number change as well. The shape in colour red is the moved shape.
T-Total = 3+4+5+16+28 = 56.
T-Number = 28.
This is position number 2.
Now I move the shape right again. So the T-total and the T-Number will change again. The shape is the colour yellow is the moved shape.
T-Total = 4+5+6+17+29 = 61.
T-Number = 29.
This is position number 3.
Now I will show you the Table of Results to show you what I explained you in the whole process. This will sum up the whole example and will help you to understand.
By this table of results, the rule comes out as, the T-Total goes up by 5, and the T-number goes up as 1. Therefore the formula should be, N=5p+46. Now let Us test this rule and formula. I move the shape right again. So the shape in green is the moved shape.
T-Total = 5+6+7+18+30 = 66.
T-Number = 30.
Suppose this is position number 4.
Now let’s check this by putting it in the table of results.
In this table of results the formula fits in correctly so it is proved that the formula is right.
Now I will show you all the formulas that I got from all the examples:
Now this was the entire example I was meant to show you. Now you should be able to understand what this T-Shape is all about. I showed you the examples in 6 by 6, 7 by 7, 8 by 8, 9 by 9, 10 by 10, 11 by 11, and 12 by 12 square grids. I have also shown you the formulas of all the grids. This is how you work out the T-Total and the T-Numbers.