19
Web Hosting by Netfirms  | Free Domain Names by Netfirms  Web Hosting by Netfirms  | Free Domain Names by Netfirms  Web Hosting by Netfirms  | Free Domain Names by Netfirms  Animating A Matrix  Animating A Matrix When we animate a matrix we get all of the numbers/values of the matrix to move as they would in a normal natural way. There are cells and further more, whole lines of values in all matrices that stay close or in fix relation to each other while they move. These individual cell or line values move with in their own singleness while remaining inside the domain of t he matrix, an still allow the matrix to stay in balance as they move. It further proves that nature can integrate all systems into a single whole unit and have unique free ranging individualist constructs within the domain of that system. See figure 2. I will show you step-by-step how to animate all the different group 1,2,3 matrices. By animating a matrix you will quickly learn how each cell value can be self sustained and be encapsulated inside its own larger natural matrix domain. I will show how energy, or outside influences can come into, or go out of the matrix, and still have the matrix balance its values. I will attempt to be general in explaining about animating these matrices, but at times I will need to be specific about a type of matrix so you are able to understand by the given example. Group 1 Matrix Wrap Frame In figure1 the black cells are the imaginary wrap around cells of the wrapping frame. We use the wrap around frame technique to animate all group 1,2 & 3 matrices.  9 2 4 8 1 6 8 3 5 7 3 4 9 2  figure 1 The first step to animating any size matrix is in understanding the wrap around principle of group1 matrices. Animation of all group matrices is done with respect to the same wrap around principle discussed in the group one matrix pages . The maximum number of animations to any matrix is the order or matrix root of the given matrix. Example a 3x3 matrix will animate with a maximum of 3 separate frames of motion. A 6x6 matrix will animate with 6 motion frames an so on. see figure 2. Step-By-Step Animation Of All Matrices [Using the wrap frame.]

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Animating A Matrix

 

Animating A Matrix 

When we animate a matrix we get all of the

numbers/values of the matrix to move as theywould in a normal natural way. There are cellsand further more, whole lines of values in all

matrices that stay close or in fix relation to eachother while they move. These individual cell orline values move with in their own singlenesswhile remaining inside the domain of the matrix,an still allow the matrix to stay in balance asthey move. It further proves that nature canintegrate all systems into a single whole unit andhave unique free ranging individualist constructswithin the domain of that system. See figure 2.

I will show you step-by-step how to animate allthe different group 1,2,3 matrices. By animatinga matrix you will quickly learn how each cell

value can be self sustained and be encapsulatedinside its own larger natural matrix domain. I willshow how energy, or outside influences can comeinto, or go out of the matrix, and still have thematrix balance its values. I will attempt to begeneral in explaining about animating thesematrices, but at times I will need to be specificabout a type of matrix so you are able tounderstand by the given example.

Group 1 Matrix Wrap Frame 

In figure1 the black cells are the imaginary wraparound cells of the wrapping frame. We use thewrap around frame technique to animate allgroup 1,2 & 3 matrices.

  9 2 4

8 1 6 8

3 5 7 3

4 9 2  

figure 1

The first step to animating any size matrix is inunderstanding the wrap around principle of group1 matrices. Animation of all group matricesis done with respect to the same wrap aroundprinciple discussed in the group one matrix pages . The maximum number of animations to anymatrix is the order or matrix root of the givenmatrix. Example a 3x3 matrix will animate with amaximum of 3 separate frames of motion. A 6x6matrix will animate with 6 motion frames an soon. see figure 2.

Step-By-Step Animation Of All Matrices[Using the wrap frame.]

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1.

8 1 6 15

3 5 7 15

4 9 2 15

15 15 15 15

Frame 1

2.

  9 2 4

8 1 6 8

3 5 7 3

4 9 2  

3.

  9 2 4

8 1 6 8

3 5 7 3

4 9 2  

Frame 2

4.

  7 3 5

9 2 4 9

1 6 8 1

5 7 3  

5.

  7 3 5

9 2 4 9

1 6 8 1

5 7 3  

Frame 3

6.

  8 1 6

7 3 5 7

2 4 9 2

6 8 1  

7.

  8 1 6

7 3 5 7

2 4 9 2

6 8 1  

Back toFrame 1

8.

8 1 6 15

3 5 7 15

4 9 2 15

15 15 15 15

figure 2

 

The Individual Animated Frames. 

In the motion frames of figure 3 we see that no

matter which way you add the line values of thismatrix they will always add to the value 15, withexception to the left diagonal as the matrixrotates. In under standing this group of cells wesee that group one matrices give out a value ortake in a value along the left diagonal. If thismatrix was used as oxygen molecule in an atomic

matrix, you would see that the energy frame of this matrix gives out +3,-3 , 0 units of energyalong the left diagonal. As the matrix rotates yousee the line value of the left diagonal changefrom 15,18,12, and back to 15. All other linevalues are unchanged and remain the same.When the matrix frame rotates it causes energyto be given off, or taken in along the leftdiagonal. The whole matrix forms a larger vortexmotion. It would allow this frame to attract toother frames of similar size and value. In affectthis function allows this atomic frame to buildmolecule an crystal structures that interlock at a

given frequency. We see that although theindividual cell values moved freely they each

1.

8 1 6 15

3 5 7 15

4 9 2 15

15 15 15 15

Frame 10

2.

9 2 4 15

1 6 8 15

5 7 3 15

15 15 15 18

Frame 2+3

3.

7 3 5 15

2 4 9 15

6 8 1 15

15 15 15 12

Frame 3

4.

8 1 6 15

3 5 7 15

4 9 2 15

15 15 15 15

Back to

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stay within the confinement lines of the matrix,which enable the matrix or physical atomicstructure to be preserved an to not disassociate.See yellow shaded cells of figure 3

Matrix Lines, Triangles & Star Pattern.

As I explained in the books previous pages aboutgroup one matrices , each line of every matrixwraps around in a circle or cylinder to touch theopposite side. The top rows of the matrix wrapsaround to the bottom row, and the left sidewraps around to touch the right side. In effectwe have a 3D torus with a vortex flow of motion.When you study the numbers in the matrix youwill see star patterns of lines formed inside thematrix as they move. The individual lines that

make up the star pattern all moved in fixedrelation to each other. The lines stay fixed inrelation to all other lines. To explain this watchthe value of 8,1,6,4 in the frames of motion of figure 3. Watch as the numbers 8,1,6 & 4 movefrom one frame to the next. You will see that thenumbers move inside a triangle pattern. As allthe numbers move inside their triangle domainsinside the whole matrix domain, they form a starof David pattern. The actual motion of 4,5,6 inthis matrix forms a triangle also, its just that thetriangle movement is laying flat on its side to theviewer. Remember with a matrix we are talking

about a 3D object being mapped onto a 2D sheetof paper.

-3 Frame 1.

figure 3

There are many and numerous formula, numerialconstructs an patterns within all matrices. Theremany multitudes of uses you can apply to onesingle matrix. There are infinite numericalmatrices. Example, the matrix in figure 3 can beuse for atomic science,horticulture to socialengineering. Each discipline adhering to thenatural balancing laws from within the matrix. Itmatters not what you use the matrix for, as longas you follow the natural mathematical lawsfrom with in the matrix then you will be morelikely to succeed

The unit of difference given out by the leftdiagonal in a group one matrix as it rotates isgiven by the following formula: Step value x Matrix root. Example in figure 3. Step value = 1the matrix root = 3 , the difference in variationof the left diagonal when animating/rotating is 3units.

 

5x5 Matrix Motion Frames

1. 

18 25 2 9 11

17 24 1 8 15 17

23 5 7 14 16 23

4 6 13 20 22 4

10 12 19 21 3 10

11 18 25 2 9  

2. 

19 21 3 10 12

18 25 2 9 11 18

24 1 8 15 17 24

5 7 14 16 23 5

6 13 20 22 5 6

12 19 21 3 10  

3. 

20 22 5 6 13

19 21 3 10 12 19

25 2 9 11 18 25

1 8 15 17 24 1

7 14 16 23 5 7

13 20 22 5 6  

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frame 1 frame 2 frame 3

4. 

16 23 5 7 14

20 22 5 6 13 20

21 3 10 12 19 21

2 9 11 18 25 2

8 15 17 24 1 8

14 16 23 5 7  

frame 4

5. 

17 24 1 8 15

16 23 5 7 14 16

22 5 6 13 20 22

3 10 12 19 21 3

9 11 18 25 2 9

15 17 24 1 8  

frame 5

6. 

17 24 1 8 15  

23 5 7 14 16  

5 6 13 20 22  

10 12 19 21 3  

11 18 25 2 9  

Back toframe 1

 

Animating Group 2 Matrix  

4x4 Animated Square Matrix

1. 

14 5 11 4

6 12 3 13 6

15 1 10 8 15

9 7 16 2 9

4 14 5 11  

frame 1

2. 

16 2 9 7

14 5 11 4 14

12 3 13 6 12

1 10 8 15 1

7 16 2 9  

frame 2

3. 

8 15 1 10

16 2 9 7 16

5 11 4 14 5

3 13 6 12 3

10 8 15 1  

frame 3

4. 

6 12 3 13

8 15 1 10 8

2 9 7 16 2

11 4 14 5 11

13 6 12 3  

frame 4

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5. 

6 12 3 13  

15 1 10 8  9 7 16 2  

4 14 5 11  

frame 5

 

Animating Group 3 Matrix  

To be continued...........

Group 1 Matrix[Completing An Odd Value Matrix]

 

The 3 basic constructs of all matrices :

Group 1 : Odd value matrices e.g. 3,5,7,9....etcGroup 2 : Even by 4. Even matrices that divideby 4 e.g. 4 ,8, 12,16...etcGroup 3 : Even not by 4. Even matrices thatdo not divide by 4 e.g. 6,10,14... etc

You will quickly learn in a short time how to

Line Value [Lv]The line value is the sum of the cells for anyhorizontal, vertical or diagonal line. 

Line Options [Lo]The line options are the total number of horizontal, vertical and diagonal lines in amatrix. Example. A 3x3 matrix has 8 line options.A 7x7 matrix has 16 line options.

Line option formula : (Matrix Root x 2 )+ 2

First Ring [Rn]The first ring of cells are all the cells thatsurround the centre cell. E.g the first ring of cells of a 3x3 matrix is the sum of the 8 cells thatcircumference the centre cell. In group 1matrices rings always expand outward from thecentre by increments of 8 cells. In a 7x7 matrixthe first ring of cells is 8 cells around the centre;the second ring of cells is the 16 cells thatcircumference the first ring; the third ring is the

24 cells that circumference the second ring an soforth. With all group 1 matrices cell rings expandoutward from the centre most cell in multiples of 

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identify a matrix so as to be able to map it tosome reality system. You will lean to identifythese odd an even matrices because you will beusing different patterns an constructs tocomplete each type of matrix. You will learn thatyou do not need to be versed or have a solidfoundation in mathematics at all. Once you knowhow to complete the basic group 1,2 or 3matrices you will know how to do any size matrixfrom then on. What reality system you map thematrix too is really up to you. Matrices can beused for infinite real life purposes.

Starting Cell [Sc]The starting cell for all group1 matrices is alwaysthe centre cell on the top row. You enter thevery first value into this cell position when you

start to fill in the matrix.

Start Level [Sl]The start level of any matrix is the very firstnumerical value assigned to the starting cell. Youdo not need to start a matrix from the level of number 1. You can start a matrix using positive,negative, integer, real or decimals values. Youcan start a matrix at any level you wish.

Stepping Value [Sv]Important : no matter what level you start yourmatrix from, you must always use a constantstepping value, otherwise the matrix will neverbalance correctly. If your stepping valueincrements by 1 then you must continueincrementing by 1 until the matrix is complete. If you choose a cell stepping value of 3.5 then youmust never change this value while filling in theincrement cells of the matrix.

Centre Value [Cv]The centre value is the single centre cell of anygroup 1 matrix. The centre value also representsthe 4 centre cells of any group 2 or group 3

matrix. The centre cell(s) are the pivot point of all matrices. It is the value of the centre cellthat gets used in most matrix calculations.

8 cells or octaves if you like.

Balanced Matrix [Bm]A balance matrix is a matrix who's cell line values

are summed symmetrical in value. No matterwhich way you add a balanced matrix the linevalues will always add to the same value.

Unbalanced Matrix [uBm]An unbalance matrix is a matrix who's line valuesare not summed symmetrical in value. If you addthe cell line values of an unbalanced matrix theline values will always change or add to adifferent value.

Matrix Root [Mr]The base matrix root value of any group 1,2 or 3

matrix. Matrix root is the same as square root.E.g. the matrix root of a 3x3 matrix is 3, a 4x4 =4 , a 99 x 99 matrix = 99 etc... Matrix Root is alsoreferred to as the Order of the matrix, or MatrixOrder

Matrix Layers [Ml]Matrices are made up from smaller matrices orcells. Matrices go from unbalanced to balancedwhen stepping up or down through each layer.The single cells of each an every size matrix canrepresent an entire completed matrix in

themselves. Example, each cell of the 3x3 matrixof figure 1 could represent an island universefrom the matrix of the cosmos. Each islanduniverse cell can be broken down into multiplelayers of infinite matrices again, right down tomultiple matrices of the atomic universe. As youstep down through layers of matrices they gofrom balanced to unbalanced.

Frequency [Fo]The frequency of the matrix is the line valuemultiplied by the matrix root. Or the sum totalof all cell values in the matrix.

 

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Group One Matrix

Completing any odd or even value matrix is

relatively easy once you know how do it. The

hard part is knowing how to derive valid useableinformation from out of the matrix once you havebalanced all the initial values. I will take youstep-by-step through each of the first group 1group 2 and group 3 matrices.

Key Points :

The first group 1 matrix is 3x3 cells.The first group 2 matrix is 4x4 cells.The first group 3 matrix is 6x6 cells.Matrices are made up of smaller individualmatrices or cells.One matrix equals the entire blocks of cells.One cell equals one single square in an entirematrix.The smallest size matrix is a single cell.The next smallest is a 2x2 cell matrix. A 2x2cell matrix is used as the centre buildingblocks of all group 2 an group 3 matrices. See

figure 2.

Group 1 matrices are used by natural processes .Group 1 matrices belong to the order of nature.

Matrix Line Diagram

X X   X

X Start Cell of all Group 1 Matrices

  Left Diagonal Line Value

  Right Diagonal Line Value

  Horizontal or Vertical Line Value

figure 1

Matrix Centre Building BlocksThe origins of all matrices start from the centrebuilding block. Nearly all information derivedfrom any size matrix is with respect to the centrebuilding block. You can see with figure 2 thatgroup 1 have a single cell as the centre reference

point, where as group 2 and group 3 matriceshave a block of 4 cells. Each cell or block of cellsis referred to as the centre cell(s). 

5

Centre single cell building block of allgroup 1 matrices

06 10

07 11

Centre 4 cell building block of all group2 and group 3 matrices.

figure 2

 

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The First Group 1 Matrix

3x3 Group 1 Matrix

Unbalance Matrix

1 4 7 15

2 5 8 15

3 6 9 15

6 15 24 15

Balanced Matrix

8 1 6 15

3 5 7 15

4 9 2 15

15 15 15 15

figure 3

 

The First Group 1 Matrix 

In the matrix of figure 3 we see the unbalancematrix to the left and the balanced matrix to theright. When we count down the columns of theunbalanced matrix using our natural countingincrements (i.e.. 1,2,3, 4 etc.), we usually startcounting from the upper left cell and count downwhile sequentially moving from the left mostcolumn to right most column. Disregarding theaqua coloured cells for the moment, you can seethat the unbalance matrix of figure 3 starts fromthe top left corner at number 1 an ends goingdown the columns at number nine. The count issequentially incremented from 1 to 9 an is

stepping by increments of 1. On the other handthe balance matrix on the right of figure 3,according to nature has no sequence at all. Butthe balance matrix is how nature organises it'strue counting sequence. In nature no single thingis perfect yet every thing situated in the givenmatrix domain is organised to be in perfectharmony. Matrices go from balanced tounbalanced as they step through the levels of every matrix. Matrices are made up from smallermatrices. As you see in figure 3 above we have 9smaller cells that go into making up the larger3x3 matrix. At one time or another you may need

to understand the multi-layer matrix withinmatrix principle. We could easily reduce the 3x3

A 3D Object Mapped Onto A 2D Plane.

The very first thing you need to understandbefore filling in any matrix is that the matrix is a3D torus object being mapped onto a 2D piece of paper. All sides of a 2D matrix wrap around totouch every other side, including the diagonals.The top row of the matrix wraps down around totouch the bottom rows. The left side of thematrix wraps around into a cylinder to touch theright side. The diagonal top left corner wrapsdown to the diagonal bottom right corner. Thediagonal top right corner wraps down around tothe bottom left corner. In affect we have open

the sides of a torus shape object and laid it outflat on the table in a 2D plane. It is highly important that you understand the wrapping

 principle to be able to fill in any Group 1 matrix with numerical values. The secret to completingany group 1 odd value matrix is in the upwarddiagonal incremented counting procedure. Youshould always start increment counting from thetop row centre cell with all group 1 matrices. (See

figure 4 below.) You should always count along thediagonal moving towards the upper right. If youcould rotate the matrix page 45 deg. clockwiseyou would be filling in the matrix as you would

normally write from left to right. But as it standsthe matrix must be filled in moving upward along

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matrix of figure 3 down to one summed value of 45 an place it into a single cell in another largermatrix. This matrix within a matrix principlestarts from the structure of electrons whirlingaround the atom right up to the single matrix of one entire universe. Yes all the atoms of theentire universe can be broken down intostructure within structure, mathematical matrixlayer within mathematical matrix layer.Everything starts from ONE whole.

the diagonal...

 

Filling in the 3x3 Matrix Step by Step

Matrix Information::3x3 MatrixMatrix Root = 3Start Value = 1Step Value = 1Centre Value = 5Line Value = 15 [Matrix root x Centre value]

First Ring = 40 [Centre value x 8 cells around centre]Frequency = 45 [Matrix root x Line value ]

 

Step-By-Step Diagram

1

1

2

1

3

2

4  5  6 

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1

3

4 2

1

3 5

4 2

1 6

3 5

4 2

1 6

3 5 7

4 2

8 1 6

3 5 7

4 2

8 1 6

3 5 7

4 9 2

figure 4

Step-By-Step Diagram 

The above matrix of figure 4 is a step-by-step

block diagram of how to fill out any size group 1odd value matrix. As you fill out each cell youmove on a diagonal towards the upper right. Youmay not overwrite any existing cell value withany other value. When you encounter an alreadyfilled cell you must drop directly vertical to thecell below and continue counting diagonal to theupper right once again. You continue countingdiagonal towards the upper right, dropping downvertical or wrapping around until all cells of thematrix are filled. You may start to get a littleconfused when you count along the rightdiagonal and reach the upper right cell currentlyoccupied by the number 6. Remember thediagonals wrap around as well, so if you where tocontinue to count diagonally outside the matrixup passed the number 6, you would wrap backaround onto the number 4 on the opposite side of the diagonal. So you must drop down verticalunder number 6 and continue to count upwardalong diagonal once again. See figure 5 below.

  9 2 4

8 1 6 8

3x3 Group 1 Matrix

8 1 6 15

3 5 7 15

4 9 2 15

15 15 15 15

figure 6

In the completed 3x3 matrix of figure 6 you willsee I have added all the sum line values to theoutside of the matrix.(See aqua coloured cells.) Youwill see that this matrix has a line value of 15.No matter which way you add the line values of this matrix the sum cell values of each individualline will always add to the value 15. There is alot more information you can learn about allgroup 1 matrices. The yellow cells in figure 6represent the first ring of 8 cells around thecentre. If using a 5x5 matrix the next ring outfrom the centre would be the first ring+8 cellsbigger again. Natural Wave Propagation alsofollow principles congruent to matrix law.

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3 5 7 3

4 9 2  

figure 5

The trick to filling out any size group 1 matrix isremembering where and when each cell wraps tothe other side of the matrix. You cannot placeany value on top of another value or outside thecompleted matrix, therefore you must wraparound and place the value on the opposite sideof the row or column you are currently working.(study figure 4 & 5). The 3x3 matrix of figure 5 showsyou in more detail how the values wrap aroundto the cells on the opposite side. The black cellsare the imaginary cells that wrap around from

the opposite side of the real matrix. Once youunderstand how to increment count upwardalong the diagonal while dropping down andwrapping around to the opposite side; you will bewell on your way to doing any size group 1 oddvalue matrix with confidence.

Key Points:

The Line value is always the Centre cell value xthe Matrix root .

The First ring (8 cells around the centre)

always equalsthe Centre cell value x 8.The Frequency always equals the Line value xthe Matrix root/order.The Start value is the first number you startwith.The Step value is the value you multiply byduring each increment step of the matrix.

Important.A matrix will only ever balance if you use auniform step value. You cannot use a sporadicstep value to get any matrix to balance

correctly. Nature does not step using sporadicrandom values. Energy packets from nature stepoutwards from the centre in uniform wavelets orrings like ripples on a pond. Therefore you shouldnever change the stepping value half waythrough completing a matrix.

 

Additional Matrices 

5x5 Square Matrix

17 24 1 8 15

23 5 7 14 16

4 6 13 20 22

10 12 19 21 3

11 18 25 2 9

figure 7

7x7 Square Matrix

30 39 48 1 10 19 28

38 47 7 9 18 27 29

9x9 Square Matrix

47 58 69 80 1 12 23 34 45

57 68 79 9 11 22 33 44 46

67 78 8 10 21 32 43 54 56

77 7 18 20 31 42 53 55 66

6 17 19 30 41 52 63 65 76

16 27 29 40 51 62 64 75 5

26 28 39 50 61 72 74 4 15

36 38 49 60 71 73 3 14 25

37 48 59 70 81 2 13 24 35

figure 9

To further help the reader I have inserted someadditional matrices. If you have difficulty in

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46 6 8 17 26 35 37

5 14 16 25 34 36 45

13 15 24 33 42 44 4

21 23 32 41 43 3 12

22 31 40 49 2 11 20

figure 8

doing any of these matrices then go back andstudy the first group one 3x3 matrix of figure 4.Completing all the larger group one matrices isidentical to completing the step-by-step 3x3matrix in figure 4. With a little practice you willlearn to do these matrices quickly and easily.This is by no means the only way to complete agroup 1 matrix, but the technique I have shownhere is by far the most simplest approach. Thereis many an various ways to balance any groupmatrix. Some matrix balancing techniques aremore useful when pertaining to their realitymapping applications. It all depends on theperson and what the matrix will be used for.

Hint : When you first start to do matrices for thefirst time, you may like to purchase a quad rule

lecture pad in which you can quickly draw yourmatrix patterns. The quad lecture pads comepre-printed with matrix cells and lines alreadydrawn. If you use a lead pencil instead of an inkbased pen, then you can quickly rub out anylittle mistakes, with out redoing the wholematrix.

 

Natural Matrix LawIntroduction

 

The history of Magic or

Latin squares dates afew back thousandyears. The origins of Magic or Latin squaresthem- selves arederived from as far backas the pyramids of ancient Egypt, anpossibly longer to theperiods of the first

Chinese dynasties... TheChinese an Japanese people still to this day usemagic squares [Matrix] for cutting and trimming

Matrix law can be applied to every thing we

think,say and do with in our perception of the 3Duniverse. Only when you can truly understand theorigins an precision of matrix law, can youunderstand that something or some one musthave created all that is. Matrix law gives usstrong evidence to support some type of creativeintelligence. In a sentence matrix law literallyplaces 'God' back into the scientific equation of man. This may sound a little arrogant anintimidating at first. But it is only when you can

truly understand that all things must balanceelse they cease to exist... Only throughunderstanding the balance of all individual

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bonsai trees to the correct mathematical ratiosof nature. Matrices are not only used inhorticulture. Matrices can be used in many areasof Science, Medical, Engineering, Sporting andSocial disciplines. Matrices can be used to helpfurther develop advanced aircraft, energy

technology and difficult mechanical structures.Professor John.R.R.Searl is one such person whohas a working knowledge of matrix law. Prof.Searl has built advanced machines and structuresusing the natural laws found with in the matrix.Professor Searl has written many books on thesubject of The Law Of The Squares as he termsthem. It is with true sincerity that I duplicatesome of Professor Searls work here in these webpages. I can only show you the basic foundationsof completing a matrix. It is your future life'swork to discover the many an multitudes of usesyou can apply to matrix law. It is most humblingto tell you that only by traversing into theinfinite depths of a matrix an understanding thenatural laws within, can you eventually begin tounderstand how the universal Creator in infinitewisdom created all that is throughout thecosmos. You may find the term Universal Creatora little intimidating at first, as I once did. But Itoo finally came to the conclusion with strongsupporting evidence, that the universe isprecision mathematics. In truth the universe iscreated with natural mathematical laws. 

The universe was created by taking geometry of random chaos an placing it into harmoniousworking balance through the natural laws of amatrix. Matrix law allow us to take these singlerandom units of chaos an transforms those unitsinto one whole balance working unit. Matrix lawapplies from the tiniest wavelet fluctuation of asingle atom, right up through workings of planets, galaxies an island universes, all linked inprecision harmony within the vastness of thecosmos.

systems into one (1) unified system can youunderstand the basic building blocks of creationitself. But first you must be able to understandhow to draw up and balance any sizemathematical matrix. In the first part of thisbook I will show you how to complete any size

matrix. There are 3 basic constructs which coversevery single matrix : 

Group 1 : Odd value matrices e.g. 3,5,7,9....etcGroup 2 : Even by 4. Even matrices that divideby 4 e.g. 4 ,8, 12,16...etcGroup 3 : Even not by 4. Even matrices that donot divide by 4 e.g. 6,10,14... etc

You will quickly learn in a short time how to

identify any matrix so as to be able to map it tosome type of reality system. You will lean to

identify these odd an even matrices because youwill be using different patterns an constructs tocomplete each type of matrix. You will learn thatyou do not need to be versed or have a solidfoundation in mathematics at all. Any personwith a grade 5 (ten years of age) level of education in maths can complete and work withmatrices. Once you know how to complete thebasic group 1,2 or 3 matrices you will know howto do any size matrix for the rest of your life.What reality based system you apply the matrixtoo is up to you. Matrices can be used for infinitereal life situations. Matrices can also be used in

fractal mathematically constructs.

 

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Group Two Matrix[Completing An Even Value Matrix]

 

Group 2 matrices can be filled in with positive,

negative real or integervalues much the sameas group 1. Group 2 analso group 3 matriceshave some slightlydifferent balancingtechniques whencompared to the

previous group 1methods. You will berequired to further

study an understand these methods before youare able to complete any of group 2 an group 3matrices. Until you can understand how tobalance the group 2 matrix I will use both anunbalance matrix to complement the finishedbalanced matrix. Using two separate matriceswill help you to understand the step- by-stepprocess of completing the balance matrix. Allgroup 2 and group 3 matrices have a centre crossthat goes from both the upper left and upper

right diagonal. It is this centre cross that is hardfixed into the unbalanced matrix an does notchange while we complete the balanced matrix.See shaded cells of figure 2. In figure 2 the centre crossleft diagonal is shaded yellow and the rightdiagonal is shaded white. I will stay with thiscolour format throughout this book. It isimportant that you understand the centre crossfunction when doing group 2 and group 3matrices. Unlike Group 1 you are not required touse or understand the wrap around technique tobe able to balance the line values in the matrix.Although the wrap around technique can be

useful when animating any group matrix. 

Stepping Value ExplainedWhen referring to the stepping value or sequenceof any size or group matrix, I refer to theincrement value used to count between each cellof the matrix. Example, if stepping by 1's, Iwould fill in the matrix with incrementsequenced values 1,2,3,4,5,6 etc...

If I use a stepping value of say 3.5, then I wouldfill in the matrix with value of 3.5, 7, 10.5, 14etc... The stepping value is the incrementedvalue from one cell to the next. 

Important: You should never change thestepping value halfway through completing any matrix; the matrix may not balance if you do...You need to really know what you are doing if 

you decide to use randomise values in any square matrix.

4x4 Group 2 Square Matrix

The first or lowest possible group 2 matrix

Matrix Information:4x4 MatrixMatrix Root = 4Start Value = 1Step Value = 1

Centre Value = 34Line Value = 34Four Corners = 34First Ring = 102 [Centre x 3 ]

Frequency = 136 [Line Value x Matrix root ]

Unbalanced 

1 5 9 13

2 6 10 14

3 7 11 154 8 12 16

Balanced 

1 12 8 13

15 6 10 3

14 7 11 24 9 5 16

figure 2

 

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Balancing Any Size Group 2 Matrix Step-by-step

1. 

1  

2  

3  

4  

2. 

1 5  

2 6  

3 7  

4 8  

3. 

1 5 9  

2 6 10  

3 7 11  

4 8 12  

4. 

1 5 9 13

2 6 10 14

3 7 11 15

4 8 12 16

5. 

1 5 9 13

2 6 10 14

3 7 11 15

4 8 12 16

6. 

1   13

  6 10  

7 11  

4   16

7. 

1   13

  6 10  

7 11 2

4   16

8. 

1   13

  6 10 3

  7 11 2

4   16

9. 

1   13

  6 10 3

  7 11 2

4   5 16

10. 

1   8 13

  6 10 3

  7 11 2

4   5 16

11. 

1   8 13

  6 10 3

  7 11 2

4 9 5 16

12. 

1 12 8 13

  6 10 3

  7 11 2

4 9 5 16

13. 

1 12 8 13

  6 10 3

14 7 11 2

4 9 5 16

14. 

1 12 8 13

15 6 10 3

14 7 11 2

4 9 5 16

15. 

1 12 8 13

15 6 10 3

14 7 11 2

4 9 5 16

16. Modified 

6 12 3 13

15 1 10 8

9 7 16 2

4 14 5 11

figure 3

 

Figure 3 Step-By-Step Explained 

Figure 3 shows you a step-by-step detail

description of how I fill out a group 2 matrix. Thematrix is first filled in using a normal down the

column counting sequence. If you where to use adifference stepping value the counting sequence

The first ring has 12 cells, the second ring has 20cells the third ring has 28 cells. Rings propagateoutward from the centre of all matrices byfactors 4, 8, or octaves if you like. Group 1move outwards by multiples of 8 cells; group 2and 3 move out by multiples of 4 cells.

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would still be exactly the same. Once you havethe matrix filled with the normal stepping count,you would then mark the diagonals like in figure3-5 as not to be removed. All values not on thediagonals would then be removed as is in figure3-6. The trick to balancing group 2 and similargroup 3 types of matrices is two fold. First wecount down the columns using the normalcounting stepping sequence, then we start at thelast removed blank cell and count back up thecolumns in the opposite reverse direction. For every action has an equal an opposite reactionas we are informed.

We count back up the columns using the smallestto largest digits that where first removed infigure 3-5. The centre cross diagonals of group 2

matrices never change while balancing thematrix. The centre cross values can change butonly when you are refining the matrix for othermore advance operations. See figure 5. You shouldlearn to balance the matrix the simple way first,before developing the principle to any advancedlevel.

Unlike group 1 matrices, the starting cell of group 2 and group 3 matrices is from the normalupper left cell. Group 2 cells have a Ring of cellsthat surround the centre 4 cells similar to group1. The difference being that you calculate the

first ring from 12 cells instead of 8. The first ringof cells around the centre is 12 cells, the nextring around the first ring is then 8 cells bigger antotals with 20 cells. Example, an 8x8 matrix has3 rings of cells around the centre.

The centre 4 cells sum to same value as the linevalue of the balanced 4x4 matrix. The sum of thefour corners of this 4x4 matrix also equals theCentre and the Line value. This is not the casefor larger group 2 matrices. The Centre andCorner blocks will be a fractional division of theLine value for the given matrix. (See figure 7 & 8) 

Balanced 4x4 Group 2 Matrix

1 12 8 13 34

15 6 10 3 34

14 7 11 2 34

4 9 5 16 34

34 34 34 34 34

figure 4

In the balance matrix of figure 4 I have addedthe sum line values to show that the matrix isbalanced. No matter which way you add the linevalues of the matrix they will always add to 34.It proves the matrix is balanced and in harmonywith every other number around it. The numbersin the above matrix could represent bees arounda bee hive, or petals on a flower, or thecalculated individual talent of people in a sportsteam. What you use the matrix for is really up toyou....

 

Modifying The Balanced Matrix 

Matrix Information:4x4 MatrixMatrix Root = 4Start Value = 1Step Value = 1Centre Value = 34Line Value = 34Four Corners = 34First Ring = 102 [Centre value x 3 ]

Frequency = 136 [Line Value x Matrix root ]

6 12 8 13 34

15 1 10 3 34

14 7 16 2 34

4 9 5 11 34

34 34 34 34 34

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1 12 8 13

15 6 10 3

14 7 11 2

4 9 5 16

1 12 3 13

15 6 10 8

9 7 11 2

4 14 5 16

1 12 3 13

15 6 10 8

9 7 11 2

4 14 5 16

6 12 8 13

15 1 10 3

9 7 16 2

4 14 5 11

figure 5

In the modified balanced matrix of figure 5 I

have shown you how to move values in thematrix without changing the balanced structureor the line values. In the matrix the above theyellow coloured cells swap positions with theaqua coloured cells. The purpose of this exerciseis to show you how you can optimise a matrix toget it to do the calculations you require. Theinformation derived from this matrix would bedifference to the original matrix of figure 4.

Figure 6 shows the completed matrix of figure 5with line values added. It is how you read ortransform the valid information out of the matrixthat makes matrix mathematics exciting. Formost people, continually looking at the numbersof matrix would become boring very quickly. Butif I where to tell those same people how totransform the numbers out of the matrix whichwould then enable them to build a very advancedand self running electrical energy device, thenI'm sure I would have their attention. There arepages in this book dedicated to mapping real lifesystems through the use of matrix law. See the

Reality Matrix Systems at the very begin of thisbook for more information.

figure 6

There are many more marvellous patterns andfunctions you can implement into a matrix. In

the bigger matrices you can move or swap blocksof 4,6,8 cells with other blocks of cells to derivedifferent information from the matrix.See figure 7,8.

Even though you have swapped blocks of cellsthe matrix will still remain balanced. It provesnature and matrix law is flexible to change without destroying its unique and total balance to theindividual domains with in nature. If this wasn'tthe case then nature itself would fail the firsttime the systems was changed or interrogated.

It is the functional use of the matrix an what you

map it too that makes matrices very interesting.

To us human beings every thing in nature appearsto be in single randomness, but nothing could befurther from the truth. It is natures way tonaturally balance through mathematicalharmonious laws. Nature acknowledges that allthings are created slightly different. Yet throughthe use of matrix law nature makes all thingswork in harmony with every other thing aroundit. A matrix takes the law of chaos and convertsit into the law of uniformness. Individuality anduniqueness while maintaining uniformity withinthe whole is natures most marvellous attribute.We should never attempt force conformity ontothe world unless it is from the perspective of balance though natural matrix law. Do otherwiseis a recipe for disaster. The lesson of ourdamaged environment might be mans mostpainful lesson to come.

Every single thing is uniquely created in itself, itis not perfect, and yet nature makes every thingwork in perfect harmony with every thing else.The ability for all things to have freedom anuniqueness an yet work in perfect harmony withevery other system around it, right up to the

macro of the cosmos. A most marvellous state of existence to say the least. Who or what mappedthis mathematical precision into the laws of nature? Natural Matrix Law is mathematical inorigin. In any persons language mathematics is aconscious thought process brought about byconscious will or intervention. Am I trying to putGod back into the scientific equation? NaturalMatrix law could not have been left to purechange, as stated in the theory of evolution by¹Charles Darwin. Knowing now that nature hasprecise mathematical laws, could the universehave been created instead of just evolved or

expressed through the big bang theories ? As youprogress through this book you may start to ask

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yourself this very same question.

 

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8x8 Group 2 Matrix

Matrix Information:4x4 Matrix

Matrix Root = 4Start Value = 1Step Value = 1Centre Value = 130Four Corners = 130Line Value = 2601st Ring = 390 [Centre value x 3 ]

2nd Ring = 650 [Centre value x 5 ]

3rd Ring = 910 [Centre value x 7 ]

Frequency = 1040 [Line value x Matrix root ]

1 9 17 25 33 41 49 57 232

2 10 18 26 34 42 50 58 240

3 11 19 27 35 43 51 59 248

4 12 20 28 36 44 52 60 256

5 13 21 29 37 45 53 61 264

6 14 22 30 38 46 54 62 272

7 15 23 31 39 47 55 63 280

8 16 24 32 40 48 56 64 260

36 100 164 228 292 356 420 484 260

figure 7

1 56 48 25 33 24 16 57 260

63 10 18 39 31 42 50 7 260

62 11 19 38 30 43 51 6 260

4 53 45 28 36 21 13 60 260

5 52 44 29 37 20 12 61 260

59 14 22 35 27 46 54 3 260

58 15 23 34 26 47 55 2 260

8 49 41 32 40 17 9 64 260

260 260 260 260 260 260 260 260 260

figure 8

The matrix of figure 7 and 8 are a good

demonstration of why group 2 matrices areevenly divisible by four. The 8x8 matrix uses 4smaller 4x4 matrices to complete the larger 8x8.The principle to completing an 8x8 matrix isidentical to the smaller 4x4 matrix except thatwe are using the reverse counting technique overthe whole matrix instead of the single individual4x4 blocks. Remember all the diagonal cellvalues remain in the same position as theunbalanced matrix. See figure 7. In the matrix of figures 7,8 I have coloured all the left diagonalsyellow and the right diagonals white. This willhelp you identify the diagonals associated witheach 4x4 block in the larger matrix. You canfurther modify or transpose the individualdiagonal cells of 4x4 matrices inside this larger8x8 much the same as we had done in the

modified matrix of figure 5. If you decide toswap the individual cell diagonal values you willbe required to swap all diagonal values of every4x4 block inside the larger matrix, otherwise thematrix will no longer balance. You can also swapentire 4x4 blocks of the matrix with a 4x4 blockdiagonally opposite it. You may now begin tounderstand the matrix within a matrix principle Ihad explained earlier in this book. How matricesare made up of smaller matrices. There are manynumerous an marvellous function to all matrices.I have only briefed on the basics of these matrixprinciples. See the Reality Matrix System pages

for more detail information.

¹ Darwin's theory of evolution.