Blinded for thousands of years? Nine separate numbers? Seems not to be the case.

Etresia Struwig explains why she thinks there are only 4 separate numbers (1,2,3,4) and that the rest (5,6,7,8) are the mirror images of the first 4 numbers. The number nine on the other hand does not display the same characteristics as the 4 numbers or 4 mirror numbers and when the same method is applied to the number 9 it shows that it is the axis for these eight other numbers and no.9 also constitutes a straight line.

The number 1: When a 9x9 matrix is drawn where the frequency diminishes with one (1) number until the cycle is complete we get: (any number could be highlighted - I chose 1)

1 9 8 7 6 5 4 3 2

2 1 9 8 7 6 5 4 3

3 2 1 9 8 7 6 5 4

4 3 2 1 9 8 7 6 5

5 4 3 2 1 9 8 7 6

6 5 4 3 2 1 9 8 7

7 6 5 4 3 2 1 9 8

8 7 6 5 4 3 2 1 9

A surface and Area graph of the number 1

Now look at the similarity when we do the same with the number eight (8) :

1 2 3 4 5 6 7 8 9

2 3 4 5 6 7 8 9 1

3 4 5 6 7 8 9 1 2

4 5 6 7 8 9 1 2 3

5 6 7 8 9 1 2 3 4

6 7 8 9 1 2 3 4 5

7 8 9 1 2 3 4 5 6

8 9 1 2 3 4 5 6 7

91 2 3 4 5 6 7 8

The following matrixes and graphs will prove that the numbers 7 and 2 are similar, 3 and 6 are similar and 4 and 5 are similar. Therefore numbers 1 2 3 and 4 have inverse mirror images in the numbers 8 7 6 and 5.

Futhermore was the Matlab program used to establish, algebraically, that these numbers not only mirror one another but are also the inverse of each other.

The Number 2:

1 8 6 4 2 9 7 5 3

2 9 7 5 3 1 8 6 4

3 1 8 6 4 2 9 7 5

4 2 9 7 5 3 1 8 6

5 3 1 8 6 4 2 9 7

6 4 2 9 7 5 3 1 8

7 5 3 1 8 6 4 2 9

8 6 4 2 9 7 5 3 1

9 7 5 3 1 8 6 4 2

The Number 7 :

1 3 5 7 9 2 4 6 8

2 4 6 8 1 3 5 7 9

3 5 7 9 2 4 6 8 1

4 6 8 1 3 5 7 9 2

5 7 9 2 4 6 8 1 3

6 8 1 3 5 7 9 2 4

7 9 2 4 6 8 1 3 5

8 1 3 5 7 9 2 4 6
9 2 4 6 8 1 3 5 7

The Number 3:

1 7 4

2 8 5

3 9 6

4 1 7

5 2 8

6 3 9

7 4 1

8 5 2

9 6 3

The Number 6:

1 4 7

2 5 8

3 6 9

4 7 1

5 8 2

6 9 3

7 1 4

8 2 5

9 3 6

The Number 4:

1 6 2 7 3 8 4 9 5

2 7 3 8 4 9 5 1 6

3 8 4 9 5 1 6 2 7

4 9 5 1 6 2 7 3 8

5 1 6 2 7 3 8 4 9

6 2 7 3 8 4 9 5 1

7 3 8 4 9 5 1 6 2

8 4 9 5 1 6 2 7 3

9 5 1 6 2 7 3 8 4

The Number 5 (any number could be highlighted - I chose 1)

1 5 9 4 8 3 7 2 6

2 6 1 5 9 4 8 3 7

3 7 2 6 1 5 9 4 8

4 8 3 7 2 6 1 5 9

5 9 4 8 3 7 2 6 1

6 1 5 9 4 8 3 7 2

7 2 6 1 5 9 4 8 3

8 3 7 2 6 1 5 9 4

9 4 8 3 7 2 6 1 5

The graphs on ANY number can be known instantly. For example the matrix of the number 11 will have a graph similar to that of 2 because 11 = 1+1 = 2.

The matrix of the number 21 will have a similar graph to that of the number 3 because 2+1 =3.

So will the number 5461 be similar to 7 and 3268 will be similar to 1.

On a vibration level will the number 11(2) therefore be the mirror image of say 5461 (7)

The matrix information of numbers 2 and 7 are entered into the Matlab program and the Inverse of both were asked. The results were quite astonishing.

The inverse of the number 7 matrix

-0.1086 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.1136

0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.1136 -0.1086 0.0025

0.0025 0.0025 0.0025 0.0025 0.1136 -0.1086 0.0025 0.0025 0.0025

0.0025 0.0025 0.1136 -0.1086 0.0025 0.0025 0.0025 0.0025 0.0025

0.1136 -0.1086 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025

0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.1136 -0.1086

0.0025 0.0025 0.0025 0.0025 0.0025 0.1136 -0.1086 0.0025 0.0025

0.0025 0.0025 0.0025 0.1136 -0.1086 0.0025 0.0025 0.0025 0.0025

0.0025 0.1136 -0.1086 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025

The inverse of the number 2 matrix

-0.1086 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.1136

0.0025 0.1136 -0.1086 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025

0.0025 0.0025 0.0025 0.1136 -0.1086 0.0025 0.0025 0.0025 0.0025

0.0025 0.0025 0.0025 0.0025 0.0025 0.1136 -0.1086 0.0025 0.0025

0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.1136 -0.1086

0.1136 -0.1086 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.0025

0.0025 0.0025 0.1136 -0.1086 0.0025 0.0025 0.0025 0.0025 0.0025

0.0025 0.0025 0.0025 0.0025 0.1136 -0.1086 0.0025 0.0025 0.0025

0.0025 0.0025 0.0025 0.0025 0.0025 0.0025 0.1136 -0.1086 0.0025

The similarity was difficult to detect with the naked eye. I then calculated the differences between the top row numbers and the numbers in the row beneath.

-0.1111 0 0 0 0 0 -0.1111 0.1111 0.1111

0 0 0 0 -0.1111 0.1111 0.1111 -0.1111 0

0 0 -0.1111 0.1111 0.1111 -0.1111 0 0 0

-0.1111 0.1111 0.1111 -0.1111 0 0 0 0 0

0.1111 -0.1111 0 0 0 0 0 -0.1111 0.1111

0 0 0 0 0 -0.1111 0.1111 0.1111 -0.1111

0 0 0 -0.1111 0.1111 0.1111 -0.1111 0 0

0 -0.1111 0.1111 0.1111 -0.1111 0 0 0 0

-0.1111 -0.1111 0.1111 0 0 0 0 0 0.1111

-0.1111 -0.1111 0.1111 0 0 0 0 0 0.1111

0 0.1111 -0.1111 -0.1111 0.1111 0 0 0 0

0 0 0 0.1111 -0.1111 -0.1111 0.1111 0 0

0 0 0 0 0 0.1111 -0.1111 -0.1111 0.1111

-0.1111 0.1111 0 0 0 0 0 0.1111 -0.1111

0.1111 - 0.1111 -0.1111 0.1111 0 0 0 0 0

0 0 0.1111 -0.1111 -0.1111 0.1111 0 0 0

0 0 0 0 0.1111 -0.1111 -0.1111 0.1111 0

-0.1111 0 0 0 0 0 -0.1111 0.1111 0.1111

It became clearer now. The totals of the rows shows that the inverse of the number 7 matrix is running in the opposite direction as the inverse of the number 2 matrix.

-0.1111 -0.1111 0.1111 0 0 0 0 0 0.1111

-0.1111 0 0 0 0 0 -0.1111 0.1111 0.1111

One more proof emerged after fiddling around with matrices and columns. The complete discussion could be found under http://magicmatrix.blogspot.com/For now we just use an example.

The matrix starts with the number 7134

7 1 3 4

4 6 8 7

6 4 2 1

1 7 5 6

All 4 rows down add up to 18 which is 1+8=9.

The total of the rows across when reduced will add up to 9 again.

In the above matrix we can use the last two rows down and up to prove again that numbers 4 and 5 are inverse mirrors of each other and the same for 3 and 6.

The row 3825 down. Subtract the next number from the previous one and you get 3 - 8 = -5 8 - 2 = 6 2 - 5 = -3. So all and all –5+6-3 = -2.

For the row 6174 up we do the same and we get: 6 - 1= 5 1 - 7= -6 7 - 4 = 3 So all and all

+5-6+3 = 2. For the numbers 4 and 5 we use the number set 4716 down and the number set 5283 up. 4-7 = -3 7-1= 6 1-6 = -5 . Added up it gives –3+6-5 = -2 5-2 = 3 2-8 = -6 8-3 = 5 Added up it gives +3-6+5 = 2.

Do we need any more prove that there are in actual fact only 4 numbers on a vibration level and not 9?

Intellectual property of E.Struwig. 2002