Posts Tagged ‘i tjing’

About the Vedic Square

Monday, December 19th, 2011

This blog is about the Cycle of Nine implemented in the Digital Root or Modulus 9-Function. The Digital Root generates many Patterns that were used in Ancient Architectures.

One of the most important Digital Root Patterns is the Vedic Square. It is the Digital Root of the Multiplication Table of the numbers 1 to 9.

This Table contains the Harmonics of the Numbers 1 to 9. These Harmonics are highly related to the Harmonic Pattern behind the Cycles in our Universe.

The first part of this Blog is about the Digital Root. It contains the patterns that are behind the Cycle of Nine.

This part is very technical but it makes it possible to show that there is a deep structure  behind the Modulus-9.

This pattern has to do with just two numbers, 2 and 3. They generate the Spirals of Expansion and Compression of our Universe.

2 and 3 and their Sum 5  are also the Numbers behind the Harmonics of our Universe.

The Second Part is about the Vedic Square. It is called the Vedic Square because this Square is one of the most important tools in Ancient Vedic Mathematics.

Vedic Mathematics was used in many Ancient Cultures (China, Egypt, Greece) with different names. The Chinese art of Feng Shui was called Vaastu Shastra in India.

Pythagoras, trained in Egypt (Heliopolis),  used the same principles and used the same  Patterns the Ancient Vedic Scientists were using.

The last part is about the Game of Chess. This game is  just like many other Ancient Games a Simulator of the Game of the Universe.

This blog contains many links to other Blogs and Resources on the Internet. These references make it possible to dig deeper into this fascinating subject.

About the Digital Root

When  you divide a number X by a number N the Remainder of the division is called X Modulus N.  22 mod 7 = 1 because 22 = 3×7 + 1.

The Modulus-function N maps the Set of the Natural Numbers to the Numbers 0, 1, 2, ….,N-1.

One of the most famous and ancient Modulus-functions is called the Digital Root. The Digital Root is the Modulus 9 function.

Because 10 mod 9 = 1 every Power of 10 has a Modulus 9 of 1. Therefore (a10**X+ b10**Y+…) mod 9 = a + b, the Sum of the Digits of the Number. 62 mod 9 = 6+2 = 8.

Digital Roots have been recorded for thousands of years, formalized by Pythagoras in 530BC and even earlier in Indian Vedic Mathematics (Vaastu Shastra).

Digital Roots are used in Numerology. In Numerology Numbers have a Meaning.

In Gematria Letters and Words are transformed into Numbers which have a meaning.

In Ancient Languages like Hebrew Letters are also Numbers. Numerologists believe that Words with the same Digital Root have the same Meaning.

The numbers 0 to 9 of the Digital Root are the Points of the Tetraktys of Pythagoras.

The Tetraktys of Pythagoras

The Modulus 9 pattern contains 2 number groups (3,6, 9) and (1,2,4, 5,7,8).

Later we will see that the last group contains 2 subgroups (1,4,7) and (2,5,8).  Together with (3,6,9) we can map these 3 Triangels on the Modulus 9 Circle.

4 is the Middle of 1+7=8, 5 is the Middle of  2+8=10 =1 and 6 is the Middle of 3+9=12=3. 5 is also the Middle of the Middle.

The group (1,2,4,5,7,8 ) is called the Ring Z/9 in Mathematics. Z/9 is isomorphic with the Sequence 2**N mod 9 where N is positive and negative. The sequence 1,2,4,8,16(7),32(5),64(1),128 (2),256 (4),… repeats itself until infinity.

This Sequence is the Expansion and Compression Pattern of the Number 2.

The Ring Z/9 is part of the Tetraktys and forms a Hexagram. This Hexagram is a 2D-projection of the Cube of Space. When we combine the (3,6,9)-pattern with the Hexagon a (4×4) Triangle is created.

The number 2 is the Container, the Cube, inside the Tetraktys. That is the Reason why the Second letter in the Hebrew Alphabet Beth means Vessel or Container.

(3,6,9) is a Triangular Cycle that repeats itself until Infinity.  The Number 3, the Trinity, is the Mover of the Container of 2. This Rotation moves With and Against the Clock.

This is the reason why the 3th Letter of the Hebrew Alphabet, Gimel, means Camel. The Camel of Gimel carries the Water into the  2 Containers of Beth.

The Number-2-pattern contains 3 Binary Groups (called Polar Pairs) with a Sum of Nine (1,8), (2,7), (4,5). The Number-3-Pattern contains 2 Polar Pairs (3,6) and (0,9). The Polar Pairs represent the Lines of the Tetraktys.

(0,9) maps unto Itself and represents The Beginning and The End, The Now. (0,9) is a Point and a Line.

The Polar Pairs of the Z/9 create a Cyclic Pattern that contains two Squares, (1,2,4,0) and (5,7,8,0). Both of them Share the Zero, The Void.

The Sum of the Opposite Numbers of the Z/9, (4,8 = 12=3), (1,5 =6 ), (2,7=9) of the Tetraktys shows the 3,6,9-pattern again.

Lo Shu Magic Square

There are 8 Ternary Groups ((1,5,9), (1,6,8), (2,6,7), (2,5,8),(2,4,9),(3,4,8),(3,5,7),(4,5,6)) with a Sum of 15. This Ternary Group represents Triangels. All of them are part of the famous Lo Shu 3×3 Magic Square.

The 3 Triangles of (1,4,7), (2,5,8) and (3,6,9) copied from the linked Website.

When we use the number 3 as a generator 3 Triangles are created (1,4,7), (2,5,8) and (3,6,9).

The 3 Triangles move With and Against the Clock ((1,4,7) and (7,4,1)).

It takes 3 rotations to get every Triangle back to its original position. (1,4,7) becomes (7,1,4) and (4,7,1). This means that there are 6 permutations of every Triangle.

Every addition of two Triangels produces another Triangle.   An Example:  (1,4,7) + (2,5,8) = (3,9,6).

When we create a Matrix to find all the combinations a new group of 9 transformations ((1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6),(7,7,7),(8,8,8),(9,9,9)) appears. They are the Triangels that are a Line and a Point. An Example:  (1,4,7) + (1,1,1)=(2,5,8).

There are now (18 +9=27) x27 = 729=3**6 = 9**3 possibilities.

The same 27×27 Matrix appears when we Multiply the 3 Triangels. An Example:  (5,8,2)x(5,8,2)= (25,64,4)= (7,1,4) and (3,6,9)x(5,8,2)=(15,48,18)= (6,3,9).

Another interesting patterns  becomes visible when we look at the Opposite Numbers of 3 Triangels (1,5), (2,6), (3,7),(4,9) en (5,9) in the Picture above.  They recreate the Triangels. An Example: (5+9=5, 2+6=8 ,8+3=11=2).

About the Digital Root of the Golden Mean

The 27×27 Matrix pattern also emerges out of 24 repeating numbers (1 1 2 3 5 8 4 3 7 1 8 9 8 8 7 6 4 1 5 6 2 8 1 9) of the Digital Root of the Fibonacci Sequence (The Golden Ratio).

this solution gives the densest
lattice packing of spheres in 24 dimensio

When we group the Golden Ratio pattern in 2′s (2×12) the Polar Pairs appear. The 12 pattern has  a Sum of 108 = 0 Modulus 9. 108 and 24 are related to the Gayatri Mantra.

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

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

When we  group the pattern of 24 numbers (3×8) of the Golden Ration into Trinities the Triangle Pattern appears again.

1   2  3  4                  -3 -2 -1 -4 (Pattern-number)

1   1  2  3  (7)           5   8   4   3   (2)

7   1  8  9  (7)          8   8   7   6   (2)

4   1  5  6  (7)          2   8   1    9   (2)

The Pattern of the Pattern is (1,2,3,4,-3,-2,-1,-4). The last part of the Pattern (-3,-2,-1,-4) can be transformed into the first part (1,2,3,4) by adding 4.

The Digital Sum of the first 3×4 numbers is 7 and the Digital Sum of the last 3×4 numbers is 2.

When we rearange the 24 cycle in 6 groups of 4 digits another pattern shows itself: (1,4,8,5), (1,3,8,6), (2,7,2,7),(3,1,6,8), (5,8,4,1), (8,9,1,9).

The pattern of the Golden Mean copied from the Linked Website

When we combine all the different rotations of the 3 Triangels a Cyclic Flow Pattern appears that looks like the Jitterbug of  Buckminster Fuller.

The Jitterbug is a 3D projection of the 4D 24-Cell (again 24!) also called the Hyperdiamond.

The 24-cell is self-dual and is the regular polytope with no analogue among the five Platonic solids of 3-space.

The 24-cell also called the Hyperdiamond

About the Vedic Square

One of the Simple Structures of Numbers that contains a lot of patterns is the Vedic Square. The Vedic Square was called the Eight Mansions in China. The Vedic Square is the Digital Root of the Multiplication Table of the numbers 1 to 9.

The Multiplication Table is a subset of the 27×27 Matrix of the 3 Triangels.

The Multiplication Table contains the Harmonics of the Numbers 1 to 9.The Vedic Square was used to build the Pyramids, create the Chinese I Ching, the Game of Chess, Dante Alighieri used it to structure his trilogy La Divina Commedia, the Sistine Chapel was build and the frescoes and symbols were arranged according to its concepts and the first chapter of Genesis was written and imbued with its numerous concepts graphic images.

File:Michelino DanteAndHisPoem.jpg

La Divina Comedia of Dante with the Tower of Babel on the background. This Ziggurat is a Geometric Structure highly related to the Vedic Square.

Scholars and Artists discovered that the various lines of the Vedic Square could be used to direct a design. By selecting a line of numbers, and using a constant angle of rotation, various designs could be produced. These designs are visible in abstract Islamic Art.

The Patterns of Islamic Art are created out of the Vedic Square

The Vedic Square is a Symmetrical Structure because AxB=BxA. This is called the Associative Property of Multiplication.  The Square is a combination of Two Triangels and contains 45 distinctive numbers.

The Vedic Square repeats itself until infinity when you extend the Square to a NxN Square.

The number pattern of the diagonal of the Vedic Square, 1,4,9,7,7,9,4,1,9,  is the Digital Root Pattern of the Square Roots. This patterns repeats itself until Infinity.

The Vedic Square contains the 5 Polar Pairs, the 8 Lo Shu Ternary Groups and the 3 Trinity Patterns ((1,4,7), (2,5,8), (3,6,9). It also contains the Star of David, The Zodiac, the Tree of Life and many other Mystic Patterns.

It is possible to transform the Vedic Square to the Lo Shu Magic Square.

The patterns of the Vedic Square Rotate. The End of a Horizontal and a Vertical Pattern connects with the Beginning of the Pattern. This means that the Vedic Square is a Torus.

This Torus is called the Rodin Torus. The Rodin Torus is a Coil that produces a Uniform Electro-Magnetic Field.

The Rodin Modulus 9 Number Torus

The 3-6-9 and 6-3-9 Cycle in the Vedic Square can be thought of as Clockwise and Counter-Clockwise, or as Electricity and Magnetism. They are transport-channels.

The ((3,6,9),(6,3,9)-Matrix divides the Vedic Square in 9 2×2 Squares.

The 9 2×2 Squares have a Sum of 9,18 and 27 which is 1×9,2×9 and 3×9. If we leave out the (3,6,9)-Matrix and divide by 9,  a 3×3 matrix results with 1,2,3 on the Outside  and a Cross of 2′s in the middle. This 3×3 matrix shows the Expansion of the 2 into the (1,2,3).

Patterns in the Vedic Square

The Rows and Colums of Ring Z/9 add up to 45. The Rows and Colums of the Number 3-Pattern add up to 54 which is a Mirror of 45. The (4,5)-pattern generates the Star of David and the Zodiac.

About Indian Vastu Science

The Vastu-Mandala

The Game of Chess originated in India. It was passed on to the medieval West through the intermediary of the Persians and the Arabs.

The form of the Chess-Board corresponds to the Vastu-Mandala, the 9×9  diagram which also constitutes the basic lay-out of a temple or a city.

Hindu mythology has it that Vaastu Purusha was born of Lord Shiva’s sweat when he fought the deadly demon Andhakasura.

Vaastu Purusha himself became uncontrollable and destructive and the heavenly gods finally subjugated him and brought him down on earth with face down, with his face in the Northeast and his feet in the Southwest.

45 deities stayed there, 32 of them in the outer enclosure and 13 of them in the inner enclosure holding him in place at various points or locations on his body.

32 =64/2 and the Number of the 32 Paths of Wisdom of the oldest book of Hebrew Mysticms the Sepher Yesirah (the Book of Formation or Book of Creation, ספר יצירה).

64 is the Number of the I Tjing. 45 (5×9) is the Sum of the Lo Shu Magic Square and the Number of the Vedic Square.

All these Mystic Structures come from the same Source and are different Views on the same Pattern, the Tetraktys, the Triangular Numbers created by the Meru Prastara or Sri Yantra also known as the Pascal Triangle.

The Vastu Jain Symbol is a version of the Tetraktys

The Vastu Mandala is an expansion of  a Point (the Bindu) into the Line(2), The Trinity (3) and the Rotating (With the Clock and Against the Clock) and Expanding Square (4), represented by the Symbol of the Swastika. The Swastika is a Fractal Generating Pattern.

Every Point is a generator from which the Swastika-pattern generates a new Swastika. The 2×2 Square is transformed by the Swastika Pattern into the 4×4 and the 8×8 Square.

As you can see the Vastu Jain Symbol is an Indian Version of the Tetraktys of Pythagoras.

The Swastika contains the Four Points of the last line of the Tetraktys that are related to the Tethahedron.

The Borobudur represents Mountain Meru, Pascal's Triangle.

About the Game of Chess

The Chess-Board symbolizes the Unfolding of Space by the Number-2-pattern and it synthesizes the Complementary Cycles of Sun and Moon.

The number 64, the sum of the Black & White (Yin/Yang) Squares on the Chess-board, is a divisor of the number 25920 (25920/64=405, 25920/9= 2880/9=320/5=72), which measures the Precession of the Equinoxes.

The Polar Pairs in the Modulo 9 Pattern are expressions of the Planets.

(1,8), the Castles, relates to the Planet Mars.

(2,7), the Bishops, relates to the Planet Venus. Venus is the Ruler of the Heart and the (2,7) is situated in the Middle of the Vedic Square.

When viewed from the Earth, the Planet Venus inscribes a near perfect five-pointed star (pentagram) around the sun every eight years. The points of a five-pointed star (pentagram) touch the circle of a pentacle every 72 degrees.  Likewise, many in Islam expect 72 virgins in heaven.

A full 360 degrees of procession takes 25,920 years, which is also seventy-two (72) 360-year cycles.

(3,6), the Knights relates to the Planet of the Messenger, Mercury. Mercury is Hermes, the Messenger God, with winged sandals. The moves of the Knights create a pattern that looks like the Swastika.

The (3,6)-number-lines are Transport-Channels (Gimel) as you can see in the Vedic Square and the Rodin Torus. The planet Mercury traces a Hexagram during its movement around the Zodiac.

(0,9) is the Planet Jupiter,  the Ruler of Modulus 9 who determinates the Rules of the Game. (0,9) is the Beginning and the End of the Game and is the cause of the Rotation of the Swastika related to the (3,6.9)-pattern.

The numbers 4 and 5 are the Moon (Queen) and the Sun (King). The Moon moves the quickest of all the planets, so does the Queen on the chessboard.

The Number 5 of the King is the Center of the 3×3 Lo Shu Magic Square and the Center of the Tetraktys.

The 8 Pawns represent  the number 2 and are connected to the Planet Saturn, the 2nd Son of the Central Sun and the Trinity (1+ 2 = 3). The Pawns start to move with 2 steps and later move 1 step. The 2 is the Center (The Son of the Sun) of the Trinity.

The 2 is also the Generator of the Expansion Pattern and the Polar Companion of the 7, the Center of the 3D-version of the Square, the Cube of Space.

The Pawn (2, Saturn) promotes into a Queen (Moon, 2×2) when he has reached the Other Side.

LINKS

About the Multiplication Table of 9

About Genesis and the Vedic Square

About the Divina Comedia and the Vedic Square

About the Sistine Chapel and the Vedic Square

About the Tetraktys

About the Trinity

About the Vedic Square

About the Tetraktys and the Lo Shu

About the Lo Shu

About the Harmonics of the Universe

About the Hyperdiamond

About the Void

About Harmonics and Entrainment

About Good and Bad Vibrations

About the number 24

About the Jitterbug of Buckminster Fuller

A Simulation of the Jitterbug Pattern (CUBIC WONDER)

About the Game of Chess

About Plato and the Sri Yantra

About the Rodin Torus

About Vastu Science

About Gematria

About Vastu Science and the Borobudur

About Mystical Number Theory and Pascal’s Triangle

Friday, December 2nd, 2011

The first part of this Blog is about the Triangular numbers, related to the Number 3, the Holy Trinity.

The second part shows that Pascal’s Triangle (called Meru’s Mountain in Mystics), the Binomial Expansion,  contains every Possible Mystical Number Pattern (including the Triangular Numbers) you can Imagine.

Pascal Triangle also shows that our Universe is a combinatorial miracle. It explores every possibility, is always in balance, expands and moves back to the beginning which is and was the Void, the Empty Set, the merge of Every Paradox, that is Possible.

About Mystical Number-Patterns

The Sēpher Yəṣîrâh (Book of Formation or Book of Creation, ספר יצירה) is the oldest book on Jewish Mysticism. The Sefer Yetzirah describes how the universe was created by the “God of Israel” through 32 Wondrous Ways of Wisdom.

The Number 32 is the Sum of the 10 Sephirot and the 22 Letters of the Hebrew Alphabet.

The Sephirot is related to the  Tetraktys of Pythagoras. The Tetraktys embodies the Four main Greek Cyclical (PlatonicMusical Harmonies: the Fourth (4:3), the Ffth (3:2), the Octave (2:1) and the Double Octave (1:4).

1+2+3+4 = 10. 10 is the 4th Triangular Number. The Nth triangular number is the Sum of the numbers 1 -> N. This Sum is equal to 1/2N(N+1).

Between the 10 Sephirot run 22 Channels or Paths which connect them.

The Sephirot are the Points of the Tetraktys. The Hebrew Letters are the Lines between the Points. The Lines of the  Sephirot and the Tetraktys create a Cube (6) at the Top and a Tetrahedron (4) at the Bottom.

The Letters of the Hebrew  Alphabet are divided in the 3 Mother Letters (אמש, the Trinity), the Seven Doubles (The Planets) and the Twelve Simples (the Zodiac).

The 22 letters of the Hebrew Alphabet are a combination of the Trinity, the 7 Planets and 12 Signs of the Zodiac.

When you analyse the Sepher Yeshirah the Cube of Space (the Kaaba) appears out of the Hebrew Alphabet. The Kaaba is related to the Seventh Planet, Saturn.

The 3 Axis of the Cube of Space are the Trinity, the 6 (2×3) Faces of the Cube stand for the Planets with the 7th Saturn, the Son of the Central Sun (3+1 (Center)+3) in the Center and the 12 (4×3) Boundary Lines of the Cube represent the 12 Signs of the Zodiac.

As you can see the Number Three, the Triangle,  plays an important role. It is the First Structure that is Closed in Itself and is therefore Topological related to the Circle. The Circle (and the Triangle) is able to rotate With and Against the Clock. This property is called Spin in Physics.

It is very important to realize that Everything Rotates in our Universe around a Central Object that rotates around another Central Object. The Central Object Gives Time, determinates the Rythm or Harmonics,  of the Rotation Structure.

The Trinity rotates around the Void. The 7 Chakra’s of the Human rotate around the 4th Chakra, the Heart Chakra, ((3+(1)+3)=7).

The Planets rotate around the Sun and the Sun rotates around the Central Black Hole. The arrow of Sagitarius points to this Black Hole.

On a Six Sided Dice the Sum of all the Numbers is Seven (1+6,2+5,3+4). The Sum of the Six Numbers is 3 X 7 = 21. If we add the Center (Saturn) the Number 22 appears.

22/7 is a good approximation of the number π. π relates the Square (and the Cube) to the Circle.

The Cube of Space symbolizes  the Playing Board of the Game of Life. On the Playing Board we have a Free Choice to move into the many Paths that are available. Every Path has its own Probability and this Probability can be calculated. If we don’t know what to do we could throw a Dice.

The Cube of Space contains the same six lines that exist in the I Ching. Four of the lines are of equal length, the other two, the diagonals, are longer. For this reason symmetry cannot be statically produced and the Dance (of Shiva) results.

The Circle represents the Cycles of Time of the Matrix of the Demiurg. Behind all the Probabilities of all the Possible Paths lies a Hidden Order.

A Hexagram, represented by the Star of David,  is a Two-Dimensional (Orthographic) projection of a Cube. A Symmetric Projection of the Cube creates a Cross.

A Hexagram is a Two Dimensional Cube

One of the many meanings of the first word in the Bible “Bereshit“,  is “They (Elohim) created Six” which means that in Six Stages of  the Time Cycle the Cube of Space (or the Hexagram) was populated. On the Seventh Day the Center was filled.

The book of Genesis does not describe the creation of the Trinity (They, Elohim, 1+2+3, 1x2x3) itself. This stage was later covered in the Zohar.

In my blog “About the Sum of Things” it is shown that Six Stages are part of an Expansion Pattern governed by the Powers of Two. After 2**6 (64) Expansions (or Compressions) the Same Fractal Pattern repeats itself on a higher level.

64 is the Number of the I Tjing and the Game of Chess. The number 32 of the Sepher Yeshirah is 64/2 and is a Contraction of the I Tjing.

The I Tjing is a contraction of the oldest Divination System in the Word called FA. FA is still used all over the world by the followers of the oldest wisdom-system created by the YOrubA in Africa. The Yoruba lived at the place where the ancient Paradise was situated.

Star of David in The Israeli Art Genesis-2

The Fourth Day (Sun (4), Moon (5))

About the Triangular Numbers

The Tetraktys contains the Numbers 1, 3, 6 and 10. These numbers are called Triangular Numbers.

The number 21 is also a Triangular Number because it is the Sum of  the Sixth Level of the Tetraktys,  the Numbers 1 to 6.

The Fifth Level of the Tetractys is related to the Number 15 (1+2+3+4+5). This number connects the Tetractys and the Sephirot to the 3×3 Lo Shu Magic Square also called the Seal of Saturn.

The nth Triangle number T(n) is the number of dots in a triangle with n dots on a side; it is the sum of the n natural numbers from 1 to n.  T(n)=n(n+1)/2.

The Triangular Numbers contain the Perfect Numbers. A perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself. Six (1+2+3=1x2x3) is the first Perfect Number and 28 (1+2+4+7+14) is the next.

The Sum of two Triangular Numbers is a Square

The Sum of two adjacent Triangular Numbers T(n) +  T(n+1) is a Square Number because Two Triangels can be combined in a Square. 1+3=2**2 and 3+6=3**2.

There are many relationships between the Triangular Numbers. These relationships were the focus of the research of the Mystical Group of the Mathematikoi of Pythagoras.

6 (Bereshit, the Cube, the Hexagram) + the 22 Letters of the Hebrew Alphabet = 28, the Next Perfect Number (1+2+3+4+5+6+7).

28 is like the numbers 6 and 15 also a Hexagonal Number. As you can see in the picture below 28 is the fourth Hexagonal Number. As we have seen before a Hexagon is a Projection of a Cube so 28 represents a Cube in a Cube in a Cube. A Cube in a Cube is called a Tessarect or a HyperCube.

28 is a Hexagonal Number

The Number 15 is a Cube in a Cube called a Tessarect or a HyperCube

The first sentence in Genesis (“In the beginning Elohim created Heaven and Eearth“) contains 7 words and 28 letters. This indicates that the Creation Process was already in the 7th stage of the Tetraktys and in its 2nd Fractal Expansion,  the Birth of the Material Universe.

The sum of the entire verse is the 73rd Triangular Number. The prime Numbers 37 and 73 are geometrically related. They form the third and the fourth term in the sequence of Star Numbers (1, 13, 37, 73, 121).

Hexagon/Star pairs are closely related to Triangular numbers. Their product is always a Triangle, and they can be symmetrically generated from a Pair of Triangles.

Star Numbers are a Combination of Two Triangular Numbers

The Square is a combination of two Triangels. It is represented by the Of Star of David, the Symbol of the Heart Chakra.

The Symbol of the Heart Chakra contains Two Triangles.

About Pascal’s Triangle

When a number represents a Geometric Structure it is called a Figurative Number.

Every possible figurative number is generated by the Triangle of Pascal.

The Fractal Sierpinsky Triangle is the Triangle of Pascal Modulo 2.

The Triangle of Pascal was known long before Pascal (re)discovered it.

It was known in Ancient India as the Meru Prastara and in China as  the Yang Hui.  Meru Prastara relates the triangel to a Mystical Mountain called Mount Meru. Mount Meru is also implemented in the Sri Yantra.

The Triangle shows the Coefficients of the Function F(X,Y))= (X+Y)**n. If n=0 F(X,Y)=1 and if n=1 F(X,Y)=X+Y so the Coeffcients are (1,1).

Pascals Triangle is a 2-Dimensional System based on the Polynomal (X+Y)**N. It is always possible to generalize this structure to Higher Dimensional Levels. 3 Variables ((X+Y+X)**N) generate The Pascal Pyramid and n variables (X+Y+Z+….)**N  generate The Pascal Simplex.

The rows of the Pascal’s Triangle add up to the power of 2 of the row. So the sum of row 0 is 2**0 and  the sum of row 1 is 2**1 =2.

The Sum of the  rows of the higher n-dimensional versions of the Triangle is n**N where n is the Amount of Variables and N the level of expansion. So the Sum of Pascal’s Pyramid (3 variables X,Y,Z) is 3**N.

Triangle of Pascal

The most interesting property of the Triangle is visible in the Diagonals.

The First Diagonal contains only 1′s. The Ones represent Unique Objects. They are the Points in the Tetraktys.

The Second Diagonal contains the natural numbers. These Numbers are used to Count Objects that are The Same. The Natural Numbers are the Lines that connect the Points. The Natural Numbers are the Sum of the previous Ones.

The Third Diagonal contains the triangular numbers. The Triangular Numbers are the Sum of the previous Natural Numbers.

This pattern repeats itself all the time.

File:Yanghui triangle.gif

The Yang Hui is an ancient Chinese version of the Triangle of Pascal. This Triangle contains Nine (3x3) Levels.

The Fourth Diagonal contains the tetrahedral numbers (Pyramid Numbers) and the Fifth Diagonal, the pentatope numbers.

Fermat stated that Every Positive Integer is a Sum of at most three Triangular numbers, four Square numbers, five Pentagonal numbers, and n n-polygonal numbers.

The Tetrahedron with basic length 4 (summing up to 20) can be looked at as the 3-Dimensional analogue of the Tetraktys.

File:Pyramid of 35 spheres animation.gif

A Tetrahedral Number represents a 3D-version of the Tetraktys.

The Diagonals of the Triangle of Pascal contain every Possible 2-Dimensional Figurative Number (and Structure).

These Numbers are Projections of Higher Dimensional Numbers and Higher Dimensional Structures.

The Higher Dimensional Versions of the Triangle (the Pascal Pyramid, The Pascal Simplex) contain these structures.

The Rows of the Triangle Sum to the Powers of Two (2 Dimensions). These Powers control the Levels of Expansion.

Every 7th step the Fractal Pattern of the Triangle repeats itself on a higher Level.

The Figurative Numbers are the Geometric Shapes that are created by the Lines of the Natural Numbers that are connecting the Points of the One.

Pascal’s Triangle also contains the numbers of the Fibonacci Sequence (“The Golden Spiral“).

When we take the Modulo 9 (the Digital Root of Pythagoras) of the Numbers of Fibonacci a repeating patterns of 24 steps shows itself that can be represented by a Star Tetrahedron or Stella Octangula. The Star Tetrahedron is a Three Dimensional Star of David.

the Fibonacci Numbers as a Cube.

The StarTetrahedron, shows the Pattern behind the Sequence of Fibonacci.

Every Figurative Number N is the Sum of the Figurative Numbers N-1.  Every Geometric Shape is a combination of all the Previous Geometric Shapes.

This means that Every Geometric Shape is in the end The Sum of the Sum of the Sum of  …. Triangels, Trinities (Elohim) or Triangular Numbers and therefore an Extension of the Tetractys of Pythagoras.

The Expansion of the Whole is a (Fractal)  Combination of Combinations.

The Triangle of Pascal is related to the so called Binomial Theorem which is used in Combinatorics and Probability Theory to describe the Amount of Combinations of a Set of  Objects.

The rows of the Triangle of Pascal also shows the Bell Shaped Pattern of the Normal Distribution.

The Probability Distribution of the Triangle of Pascal converges to the Normal Distribution because of the Central Limit Theorem. Every Row has a Mean of N/2 and a Variance of (N**1/2)/2 which means that with every new row the Mean and the Variance become Bigger and Bigger.

The Triangle of Pascal and therefore the Figurative Numbers describe Everything that is Possible but every Expansion of the Triangle is less Likely to Occur.

The Triangle of Pascal Modulo 3

The Triangle of Pascal Mod 3 represents the Tetraktys in the Tetraktys in the .....

Because of the Fractal Expansion/Contraction Pattern The Cube of  Space, related to the Element Earth,  explains Everything there is to Know on Our Level of Existence, Mother Earth.

The interesting part of the Figurative Numbers is that they representent Visual Patterns with which we can Reason.

We don’t need complex formulas because we can See what is Possible.

The interesting part of the Triangle of Pascal is that we can See that the Complex Figurative Structures are created out of a very Simple Structure, the Triangle.

If we want to understand our Reality we have to begin with looking at the Beginning and not start somewhere in the Middle.

If we look at the Fractal Expansion Pattern of the Triangle we See that Every new Stage is an Expansion Out of the Middle.

The Expansion of the Human, the Next Step in our Evolution,  is therefore an Expansion Out of the Heart, the Balance of Father Sky and Mother Earth.

Life is not only about Me and the Other.

Life is also about the Relationship between Me and the Other.

If we don’t Collaborate the Next stage in our Evolution will never happen.

LINKS

The Content of the Sepher Yesirah

About the Sepher Yesirah

About the Cube of Space

About the Tetractys

About the Cube of Space and Psychology

About the Sepher Yesirah and the I Tjing

A correspondence table of the Cube of Space

About Bereshit

About Genesis

About Patterns in the Bible

About Saturn

About the Trinity

About the Sri Yantra and Plato

About the Lo Shu and the I Tjing

All kind of strange relationships between Triangular Numbers

A website about Mystical Number Theory

About the Figurative Numbers

About Combining the Combinations

About the Golden Spiral and Plato

About the Logic of Creation

About Pascal’s Triangle and the Normal Distribution

A complete course in elementary Number Theory

About the Psychology of the Cube of Space

About the Tetraktys and the Zodiac

About the Process Theory of Paul Young

About the Theory of Dewey B. Larsson

Mysteries of the Equilateral Triangle

About Visual Patterns in Number Theory

About Pascal’s Triangle and Cell Division

About the African Origins of the Ancient Civilization of Egypt

Monday, August 31st, 2009

queen of puntThe Ancient Egyptians believed that their Religion originated in the Land of Punt also called Ta Netjer, the Land of the Gods.

On the Reliefs of the Temples, the Puntites are always represented as African People.

This Blog is the result of an Inquiry into the African Roots of Ancient Egypt.

 It contains the following parts:

1. An exploration of the Situation in East-Africa about 5000 BC, called the Green Sahara.

2. An exploration of the Religion that was dominant about 5000 BC in East-Africa. This religion was based on the belief in the Triple Goddess and the Moon-Cycle.

3. An exploration of the shared believes of the Religions that came out of Africa after 5000 BC. What we will see is that the ancient religion of the Green Sahara can still be found in the Oriba-Culture, the IOA, in East Africa.

4. An exploration of the area called Punt. One of the possible locations of Punt is Ethiopia, the Center of the Green Sahara.

5. A Summary.

Part 1: The Green Sahara

The first step to locate the Land of the Gods is to determine the Area we have to research. This area is called the Green Sahara, East Africa.

According to the Single Origin Hypothesis based on the Research of the Female Mitochondrial DNA, our Ancestors, the Homo Sapiens, originated in East Africa 200,000 years ago. From that moment Homo Sapiens migrated all over the world.

In the Book Constructing a New World Map Steven and Evan Strong argue that Homo Sapiens originated in Australia. According to the ancient stories of the Aboriginals Elders a part of them left Australia because of an argument about the Use of the Land. The Aboriginals that stayed were against Agriculture.

In this blog you will see that the same transformation from Hunter/Gatherer to Farmer created a huge Conceptual Conflict in the area of the Green Sahara also. A conflict with far reaching consequenses for our Civilization.

The Egyptian Pharao’s have visited Australia and therefore Australia could be the Ancient land of Punt. In this blog I assume Ethiopia is Punt but I could be wrong.

Between 7,000 BC to about 3,000 BC East Africa enjoyed a fertile climate. At that time the Sahara was a Green Savanna with Elephants, Giraffe and other grassland and woodland Animals.

Slight changes in the Earth’s orbit around the sun brought the northern hemisphere into the limelight. Summers became warmer as more solar radiation hit the lands north of the Equator. Solar ‘insolation’ levels were up to 8 percent higher than today.

With insolation driving monsoonal climates like a huge heat engine, rainfall increased. One climate model estimated that the 8 percent increase in radiation in North Africa resulted in a 40 percent increase in precipitation.

Today, the West African monsoon avoids the Sahara, passing further south. But as the Earth’s orbit changed the rains intensified and shifted five degrees north. Slowly, the desert started to bloom. By 10,000 years ago, the Sahara had turned into a savanna-like ecosystem with trees and grass and grazing animals.

It wasn’t just down to the sun. The so-called ‘African Humid Period’ was also reinforced by newly grown vegetation that absorbed the sun’s energy, which strengthened the monsoon system, rather than reflecting the sun’s energy back into space.

Increased surface ocean temperatures of about 0.4 degrees Celsius also supported a stronger monsoon, as well as numerous permanent lakes.

Existing lakes had surfaces tens of meters higher than today, sometimes with alternative drainages: Lake Turkana, in present-day Kenya, drained into the Nile River basin. Lake Chad reached a maximum extent of some 400,000 square kilometers in surface area, larger than the modern Caspian Sea, with a surface level about 30 meters (100 feet) higher than its twentieth-century average. Some shallower lakes and river systems existed in the subpluvial era that later disappeared entirely, and are detectable today only via radar and satellite imagery.

laketurkanaFrom 3000 BC temperatures started to decrease and the desert came back. The main reason for this big change in climate could be the collision with the meteoroid Typhon, the cause of the Great Flood.

At that time the ancient scientists, the Followers of King HR (Narmer, Menes, Merlin, the Measurer),   the First Falcon King, the first King of Egypt, already knew about the patterns of the stars, the sun and the planets including the Cycle of the Precession.

Around 3000 BC  the population of the Savanna moved to the North, the South, the East and the West.

The people that moved North are the ancestors of the Egyptians, the Jews, the Berbers and Tuaregs of North Africa, the people of Nubia (Cush), Sudan (Ta-Neti, the Land of the Bow) and Ethiopia (Aksum). They speak languages related to Ancient Egyptian.

The people that moved South are the Bantu (“the people“) of South Africa and the Dravidians of South India, Pakistan and Iran. The people that moved East are the ancestors of the Mande (“the Children of Maa or Amon”), the Yoruba or the IOA (“the Mystery“) and the Dogon in West Africa. The last part moved to Babylonia (Persia).

The Religion of the Yoruba has moved with the Slaves to the Carabian Countries and the South of the US and is known as Voodoo, Santeria, Candomble, Lucumi and Macumba. The Rastafari Movement in Jamaica has its roots in Ethiopia.

We will show that the Religion of the Yoruba is the Mother of all the Religions.

Part 2: The Mother Goddess and the Moon Cycle

If we want to prove the theory of the Green Sahara we have to find out if the people that moved away when the Sahara turned into a Desert shared the same Religion. The next step is to find the Center in the Center of the Green Sahara.

horusLet us start with Amon (“The Hidden“), the Gods of the Gods. Maga (Sumerian), Amon (Yoruba), Maa (Mande), Amma (Dogon), Mal (Fish, Dravidians) or Amon was a Female Fishlike Goddess (Vishnu) born in Lake Tritonis in Lybia. Maa’t became the Goddess of Justice in Egypt. The Female Amon became the male God of the Gods in Egypt.

In the time of the Green Sahara (9000 BC) Lake Tritonis in Nubia was part of a gigantic lake that was fed by the river Triton. The Islands in this Lake are associated with the Egyptian Goddess Nuth (the Holy Spirit of Amon), the Argonauts looking for the Golden Fleece of the Ram and the Old Continent of Atlantis (Triton, Neptune, Poseidon, The Fish God).

The first civilizations of the Green Sahara were Matriarchal. They worshipped the Goddess, the Moon, and used the Moon Cycle as their Calendar. They were Hunters and Gatherers moving around in the Green Sahara.

To Eat they had to Kill the Animals. When they Killed the Sacred Animal, they asked for forgiveness and permission. They knew they were totally dependent on Mother Nature.

Mother Nature is a strange creature. Most of the time She takes Care of her Children but sometimes she is Wild and Unreliable and Kills without any Reason.

This attitude of Mother Nature is translated in the concept of the Trickster. In his original role the Trickster, The Fool, the Clown, the Jester, the Perfect Mirror, is the Creator of the Game that Creates Games, the Game of Life.

With his Humor he helps the Humans to become Aware of their role of Co-Creators. God, the Trickster, wants to Humans to act on even foot. When they are too dependent he removes his helping hand. When they are too independent he shows his Almighty Power. Examples are Kokopelli (Hopi, Zuni), Coyote (Navajo) Tijl Uilenspiegel (German,, Dutch), Djehuti (Egypt), Hermes (Greek), Legba (the Divine Messenger, Orisha), Pan (Celtic) and Renard the Fox (French).

The only person who was able to understand the Movements of the Trickster was the Shaman who could travel Space and Time sometimes with the help of the Sacred Mushroom.

anubisThe Egyptian Anubis, the Archer and the Jackal, is an ancient African Trickster God. He is the Sun of An (the Fish), the ‘Lord of the Sacred Land” and the Ruler of the Nine Bows, the Enemies of Egypt. Punt was called the Land of the Bow, the Moon.

Anubis is originally An-Up, meaning Fish-Opener. This refers to the fish from whose mouth the waters of creation were said to have flowed. Anup may originally have been Nup, a form of Nu-Up, meaning Water-Opener or Sky-Opener.

Anubis is also represented as a Wolf and a Dog Howling at the Moon Goddess. In this case he represents the Blazing Blue Dog or Arrow Star Sothis/Sirius, situated in the constellation of Ursa Minor. The Dog Star plays a significant role in every Ancient Civilization all over the world.

In Egypt Anubis is the Opener of the Mouth (of the Death) and the Doorkeeper of the Underworld, the Dream World. The Dream World was the place where the Souls of the Ancestors lived. It was also the place where the Shaman travelled when they went into their Trance-State.

To move into the Dream World, the Shaman had to climb Jacob’s ladder to the polar region of the sky and move through the Hole of the Center, the Mouth, of the Sky, the Celestial Pole, the Pole Star. To travel the Underworld the Shaman had to make use of the Mesktet, the Night Barque, the Light Body, the Egyptian Sahu.

The Pole Star is not a fixed point in the Sky because of the Precession of the Equinox. Ursa Minor has been the pole constellation since 1300 BC. Before that time the Hole in the Sky was situated in Draco in the Constellation Dragon (the Serpent also called The Falcon) and Vega in the Constellation of Lyra (the Harp of David).

The Falcon (the Dragon) was the Sacred Animal of the first Kings of Egypt.  The Dragon is also the symbol of Typhon, the meteoroid that probably hit the Earth and caused the Great Flood.

A part of the Underworld, the Void, the Sekhem, the Ain Soph, the Place where the Creator was situated, was a place where no one was allowed to go. The Sekhem was guarded by the Hell Hound Anubis.

The Symbol of the Fish, the Vesica Piscis (Vessel of the Fish), represents the Vulva of the Mother Goddess. It is a combination of the Crescent before the New Moon and after the New Moon. The Crescent Moon itself is represented by a Bow.

The Vulva or the Yoni, of the Ancient Mother Goddess of the Amazons was always combined with a (Black) Stone, the Symbol of the Phallus (Lingham) of the Male God. The God and the Goddess created the Universe in a sacred Union of extreme Extacy.

One of the most important Black Stones of the Goddess is the Ka’bah (the KA of AH), the Stone of Destiny, in Mecca. The seven priests of the sacred shrine of the Ka’bah are known as the Beni Shaybah, the ‘Sons of the (Queen of ) Sheba“. In ancient times the Priests were Priestesses and the Cult of the Black Stone was highly Sexual Oriented.

The Ka’bah is aligned to the Crescent Moon and the rising of Canopus (“Kahi Nub”, the Golden Earth, the Star of the Trickster (the Coyote, the Jackal)), the brightest star after Sirius. This aligment appears in the national flags of many islamic nations.

The Mother Goddess is always represented by a Trinity, the Triple Goddess. Each aspect of the Trinity corresponds to a Phase of the moon. The Crescent Moon, Q’re, is the Maiden. The Full Moon, Al’Uzza, the Strong One, is the Mother. The Waning Moon Al’Menat, is the Goddess of Fate, Prophecy and Divination also known als Sheba (‘the Old Woman“). She is, just like Osiris, the Goddess of the Underworld.

The White Female Dove and the Black Raven or Hawk are the symbols of the White (Yin) and the Black (Yang) part of the Crescent Moon. The Dove (‘the White“) and the Raven (“the Black“) were the first birds that came out of the Ark of Noah after the Great Deluge. The Dove is also represented by a Cup (the Cup Bearer (Aquarius), the Holy Grail), a Gate or a Door.

The Dove, the Female White Antagonist of the Black Eagle, is the Symbol of the John the Baptist. John the Baptist, Baptises, Initiates, the Fish Jesus, Horus, with the Water of Life of Aquarius. The Dove, The Cup and the Gate are Symbols of many Mystic Orders like the Christian Essenes and the Moslem Sufis. The Dove, the Gate and the Door refer to the Pleiades, the Center of the Milkey Way.

John the Baptist relates to the story of Iona and the Whale (A Fish), the Celtic Island Iona and the Irish Dove Saint Columba. John the Baptist is IOA-nnes, a Fish-Man in the Myths of Mesopotamia. He suddenly appears Out of the Sea just like his Female Partner, Amma, the Fish Mother Goddess, appears out of Lake Tritonis. IOAnnes saves Mankind from the Flood and teaches them the use of Letters, Sciences and Arts.

fish godThe Fish that came out of the Sea is the Phallus of Osiris (Oris-AH). It represents the conception of the Human. The innocent White Female Dove is the second stages of Horus, the Child of Osiris and Isis. The Black Male Hawk, Eagle or Raven symbolizes Violence and the Death of Horus/Osiris. It is the symbol of John, the Evangelist and the Apocalyps. The last stage of Horus, is the Phoenix, the Golden Hawk or the Benu Bird. The Phoenix symbolizes the Resurrection and the Transformation of Adam/Heru into an Immortal Being.

The Female Moon Cycle of the Hunter/Gatherers was later replaced by and integrated in the Male Sun Cycle of the Planters. To synchronize the 13 moons cycles of 28 days (364 days) one day had to be added. This missing day is usually dedicated as a day for renewal – preparation for the New Year.

Part 3: The Religions of the Green Sahara

In all the cultures that originated out of the East of Africa we find, with different names, references to the Four Egyptian Twins, the Pesedjet. They are called Annunaki, the Children of Anu, the Judges of the Underworld (Abzu), in Sumer, the Orisha or the IOA (‘The Mystery“) by the Yoruba and the Nommo Anagonno, ‘The Word that Became the Fish-Man’ by the Dogon.

The movement of FA in time

The movement of FA in time

The Yoruba use a Divination system, FA, that could be the Ancestor of the I Tjing in China and the tArO. The Yoruba System is highly advanced. It is based on 2**8 = 256 combinations. Just like the I Tjing every possible combination is linked to a Wisdom Story. The I Tjing, the TARO and the FA contain highly advanced Physical Knowlegde.

In the Ancient African Myths the Red Egyptian Neter Seth (Apep, Apophis, Typhon) is always the Creator of Disasters. He is the Lord of the Red Sahara Desert, Master of the Thunders Storms, Disorder, Darkness and Warfare. Seth is the Cause of the Change of the Climate that destroyed the Green Sahara, the Garden of Eden. Seth is also the Cause of the Great Deluge.

Seth, the Pig, the Ass, is always Playing Games with Others For his own Benefit. Seth was a (Female) Trickster God. Later he is transformed into a Serious, Clever, Mischievous Male Creature, who tries to survive the Dangers and challenges of the world using Trickery and Deceit as a defense. Seth is the God who needs Power to cover his own Fear for the God of the Gods. In the Christian Faith Seth/Pan, the God of Nature, was transformed into the Red Angel of Evil, Lucifer, Satan (Set-Hen).

The Egyptian Myth of Seth and Osiris can be found in the Creation Story of the Bible and Persia. Seth is the Snake who Talks Adam and Eve out of Paradise. In Egyptian Myth Set-Hen kills his Brother Osiris, the Shepherd. In the Bible Cain, the Farmer, kills his brother Abel, the Shepherd. In Persia Enlil (Seth) is the cause of the Great Deluge. His brother Enki (Osiris) informs Atrahasis (Noah) and Saves Mankind.

The Killing of the Shepherd by the Farmer is the symbol of the Conflict between the Matriarchal Nomadic Hunter/Gatherers and the Patriarchal Static Farmers. The Hunter/Gatherers of the Female Moon Culture thanked the Dynamic Sacred Animal for his Sacrifice when he was killed. The Static Sacred Plant of the Sun Cycle is related to the Cycle of Birth, Growth, Death and Ressurection.

In Egypt Osiris is Sacrificed as a Sacred Animal and is Resurrected as a sacred Plant, the Tree of Life, by the Divine Mother Isis (Au Set). In Genesis Abel Returns, is resurrected, as the Third Child of Adam and Eve, named Seth.

In the New Testament the ressurected Osiris is represented by Jesus. His mother Isis is Mary, the Black Madonna. In Egypt, the Black Madonna, Isis, also named Ua-Djed, Au Set or Ua Zit (“Eye”), the Eye of Horus, was represented by a Cobra, a Serpent. In old Myths the Serpent was the Advisor of Humans and not the Deceiver.

It is very clear that the Followers and Children of Seth, the Farmer and Female Dominator, the Master of Trickery and Deceit, wanted to Hide the Role of the Playfull Trickster, the Female in Society and the Mother Goddess Ah in the new constructed Creation Story of Genesis.

The main reason could be that Vulva of the Fish, the Triple Goddess (Ah), Isis (Au-Set, the Third Eye of Set, the Trickster), and the Gift of the Third Eye represents the Female Sexual Power of the Kundalini, the Serpent Energy, the Light of the Holy Spirit.

If this is true the Ancient Fish-Man and Fish-Woman are Enlightened Beings, the Shining Ones, also called the Giant Nephilim (Bible, Gilgamesh Epos), the Messengers (Orisha) and the Tuatha de Danaans (Celtic). The Serpent Power, named DJ in Ancient Egypt, appears when the DJ-ed, the Spinal Column, is raised.

One of the most interesting characters in African Myth and Society are the Blacksmiths.

Let us move back to Punt, the Land of the Blacks, the African People. In the early period the Origin of Egypt, Punt, was referred to as Kmt (Kmet), the Black Land. Later the name of Egypt was changed into Hwt-ka-Ptah, “the House of the Ka of Ptah“. Ka is the Egyptian name for the Force of Life.

ptahPtAH is the Divine Blacksmith. He is the Opener of the Mouth, the pronouncer of the word “Ah”, the name of God. He is the Sculptor of Ancient Egypt. His wife is a powerful Black Female Magician and Warrior, Seh-Kmet. Seh from the Black Land of KHM.

Pt-AH Creates out of his Heart, the Center of the Soul. He moulds the First man Adam (Heru) and gives him life by breathing his Ka into him. He moulds the sun and the moon on his potter’s wheel. He shapes the universe and hammers out the copper sky. The Story of Ptah, the Good God acting as an Artist comes back in almost all of the Creation stories in Africa including the Old Testament.

The Black Female Magician (Al Khem = Alchemy, Magic), Seth-kmet, the wife of Ptah, looks a lot like the Dravidian Goddess Kali, the Black Mother of Time, who is married to Lord Krhisna (Ptah). Kali and Sehkmet represent the Amazons, the Female Warriors and Magicians that ruled African Matriarchal Society before the Gods took over. In Egyptian Myth the wife of Ptah is also known as Basted, the Cat. The Cat is again a symbol of the Trickster. She is sweet and precious, but under the surface lies the Heart of a Predator, the Lion.

The Black Concept of Linear Causal Time is the main reason why the Humans are not able to experience the Higher Dimensions of our Reality.

Ptah, is portrayed as a Friendly Playful bearded Man, wearing a skull cap, with his hands holding an Ankh (the Symbol of the Vulva), the Was Scepter (the symbol of the Benu Bird, the Phoenix, the Golden Hawk) and the Djed, the Spinal Column, the symbols of Life, Power and Stability. In Egypt Ptah is later replaced by Amon. In other cultures Ptah is called EA (El Ah, Allah), AHnKi or Enki.

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Al Khem carries the Winged Disk

The Ancient Egyptians Blacksmiths, the Heru-Behutet, are associated with the Power of the Serpent (“the Ka“) and the Winged Disk, the symbol of the Zodiac (Astrology). Heru Behutet is shown as a Hawk-Headed Man bearing the double crown of Egypt, holding Metal Weapons, and more often as a Winged Disk flanked by a White and a Black Cobra (White and Black Alchemy).

The Priests of Heru Behutet were referred to as the mesniu or mesniti, the blacksmiths. The Mesniu had shaved heads, wore short tunics that exposed their chests, and bore either an inverted Lance or some other Metal instrument. In the rear of their temples was situated a “Holy of Holies,” called the Mesnit, which was only accessible by the Mesniu. The Holy of Holies (of Holies..) is a fractal pattern that comes back in many African Structures.

In the Bible the Blacksmiths are associated with the children of Tubal Cain. One of his descendants is Hiram, the Master Builder of the Temple of Solomon.

Fractal African Village

The Fractal Pattern of an African Village

In African Orisha Culture, the Ogun, the Blacksmiths are always isolated in a special group outside Society because they are the carriers of the Third, (Evil) Eye of Horus and are able to manipulate the Force of Life, Nyama or Ka (Chi, Prana, Ether, the Fifth Element).

They are Inventors, Magicians, Poets and Story Tellers. The Blacksmiths have a lot in common with the Druids and Bards of the Celts and the Magi of Persia. They are the Co-Creators, the Earthly Tricksters.

The mathematician Ron Eglash, studied the Ancient African Patterns and detected a Fractal Pattern that came back in all the African structures. It showed itself in the Villages but also in the ancient prediction system IFA.

He believes that the ancient African Scientists knew about the Fractal Universe. This knowledge was taken over by the ancient Egyptians and the Hermetic Alchemists of the Renaissance (“As Above, So Below“).

The Ancient Yoruba Teaching System IFA is known as FA, Orunmila, or Orunla (OA). The system of learning was brought to Humans by a Messenger, an Orisha, of the God who is a Mystery (Oludumare) known as Legba and Eshu. Eshu looks like Ptah and Oannis.

Another Orisha, Ogun, the Blacksmith, brings Technology such as Fire, Iron and Steel to Humans to help them improve their society, When Ogun finds out that Humans use the technology for war and oppression. Ogun stops his contact with Humans and Human society stagnates.

the IFA Pattern

The Cycle of IFA

The Original God Oludumare (Amon), did not like that and sents other Orishas to convince Ogun to resume contact with Humans. Many Orishas fail, but the beautiful Oshun, the Orisha of the Rivers, persuades Ogun and he resumes contact with Humans.

Oshun, Water, really loved Chango, the Orisha of Fire, Thunder, and Lightning (Seth, Sehkmet, Lilith), but Chango marries Oya, the Orisha of Winds (Air, Enlil). Ogun (Earth) marries Oshun’s sister Yemaya, the Orisha of the Sea (The Fish, the Center of Creation, the Whole).

The Orisha of the Yoruba represent the Four Forces of Creation (Water, Fire, Earth, Air/Wind) in combination with the fifth Force, the Center (Amon, Chi, Prana, Ether).

Part 4: About Punt, KHM and the Black Land

If we combine all of the information in this Blog it becomes clear that the Black Land of Punt, KHM, the Ancient Cradle of Civilization is Ethiopia. Ethiopia is the center of the Green Sahara, the place out of which all of the ancient religions originated.

This was known by Diodorus Siculus, a Greek historian living in the first century BC. He wrote a history of the world, the Bibliotheca Historica, that consisted of 40 books. He wrote the following: “The Ethiopians … were the first of all men. … the Egyptians are colonists sent out by the Ethiopians, Osiris having been the leader of the colony … Osiris … gathered together a great army, with the intention of visiting all the inhabited earth and teaching the race of men how to cultivate … for he supposed that if he made men give up their savagery and adopt a gentle manner of life he would receive immortal honors. …“,

Let’s have a look at Ethiopia, also called Axum.

axumThe Axumites living in Ethiopia were renowned for their fine Architecture, crafts and skills, in particular as Masons and Blacksmiths, which they retain to this day. Greek traders knew Aksum as the centre of an empire, which had trade links with India, Arabia, Rome, Egypt, Persia and Greece. Aksum was one of the most important Trading Posts in Northern Africa.

Aksumite traditions say that their city was once ruled by a dynasty of a Snake-God (Snake = Kundalini = Enlightened) Arwe or Waynaba, the sun of Ityopis (Ethiopis), the great-grandson of Noah, one of the many descandants of Cain. Around 1370 B.C.E. under Za Besi Angabo this dynasty was replaced by a local ruling house.

This new dynasty ruled for about 350 years and it is from that Makeda, the Queen of Sheba, descended. Makeda was born ca. 1020 B.C.E. and became queen when she was fifteen, ruling until about 955 B.C.E. when she surrendered the throne to her son David also called Menelik, “Sun of the Wise Man“. Menelik was the sun of Wise King Solomon and Makeda. David took the Ark of the Covenant to Aksum together with the High Priesthood of Judah.

The Story of the Queen of Sheba is described in the most important religious document of Ethiopia called the Kebra Nagast (The Glory of the Kings). The Kebra Nagast contains the oldest known sections of the Torah. It also contains a detailed account of the Fate of the Ark of the Covenant and the disappearance of the High Priesthood of Judah to Aksum in Solomon’s reign. Aksum was the first Kingdom in the World that converted to Coptic Christianity.

The Kebra Nagast suggests that The Queen of Sheba was also the Ruler of an Ancient Black Hebrew speaking population living between Medina and Yemen, the Falashas. If we look at the origins of Civilization, East Africa, the Falahsas could be the Ancestors of the Jews.

The Temple of Solomon was never found by archeologist. Analysis of many old sources including the Kebra Nagast reveal that the Temple was not build in Jerusalem but in the Second Jerusalem, Asir, a province of Saudi Arabia. Asir is very close to the current Spiritual Center of Islam, Mekka, the City where the Black Stone of Sheba (the Old Wise Woman of the Triple Goddess), the KA (“Force of Life”) of b’AH (“Ammon”) is situated.

If this theory is true (and looks like it is true) The Jews and the Arabs lived together in the Same Area. You can imagine the consequences for the Middle East Conflict! This is the main reason why this theory is “kept secret” or heavily denied.

Part 5: Summary

According to the Single Origin Hypothesis Human Civilization emerged in East Africa. The first civilizations were Matriarchal. The Homo Sapiens believed in a Female Creator associated with the Moon and based their Calendar-System on the Moon Cycle. The Female Warriors and Magicians, Sehkmet and Kali, the Women with the Bow of the Crescent Moon, the Amazons, were controlling society.

This all changed when the Fish Gods, the Enlightened Beings, the Shining Ones, started to Interfere in the Life of the Homo Sapiens. They tried to help the Humans to improve their society but the Humans misused the Tools of the Good Goddess. They created Slaves, the Lulu, out of Homo Sapiens, to work for them in the Gold Mines in East Africa and used Terrible Weapons to destroy their Enemies (Atlantis. Poseidon, Lake Tritonis).

Ogun, the Divine Blacksmith, did not want to be involved with the Humans who used his gifts to Kill and aquire Power. His Father, AH, AHmon, tried to convince the Divine Blacksmith to help mankind. After some time Ogun (Enki) came back and resumed his task. He designed a new way to solve the problem.

AHnki (Enki), Pt-AH, El-AH, IO-AH, uttered the name “AH” of his father Ammon and shaped his own creation, Adam, out of clay. He gave him his own KA, his Force of Life. Enki Fell in Love with his own Creation. This created a group of DemiGods.

Seth did not like the Demi-Gods and decided to Destroy them. Enki/Ptah/IOAnnes, the Great Teacher and Architect, did everything he could to prevent this to happen. He warned his Children for the Great Deluge but was just like Abel and Osiris “killed” and sacrificed. Enki left his Material Body, Earth, and became his Sahu, the Egyptian Light Body. From that time The Ka, the Force of Life of Ptah, Inspires Artists and Architects.

After the departure of Enki, Seth, the Pig, takes over control. He invents many intelligent systems to prevent that the Humans can easily Connect to each other and to the Serpent Energy of Amma, the Mother Goddess.

To control the Humans the Pig implements the Black Concept of Linear Causal Time and changes the Female Moon Cycle into the Male Sun Cycle. This makes it very difficult for the Humans to live in the Now and experience the higher dimensions of Reality of the Goddess.

One of the most effective weapons of the Pig are the Battle of the Sexes and the Diversity of Languages. The diversity of the Languages that started with the destruction of the Tower of Bable generates tremendous communication problems. The split of the Male and the Female part of the Androgynous Humans and the Dominance of the Male part, makes it possible for the children of the Pig to Divide and Rule Humanity.

The Green Sahara was the Garden of Eden where Heru (Adam), the Creation of Osiris (Enki) and Isis (Eve, Lilith) was living around 7000 BC. It was also the place where the Old Civilizations of Atlantis and Meroe were situated. At that time Lake Tritonis was part of a huge sea that provided the water for the rivers in the Green Sahara.

Adam got three Suns Abel, Cain, and Seth. Abel was the obedient son of Eve and Adam. He did what the Masters wanted him to to do. Cain/Anhki was different. Cain, the Carrier of the Ankh, the Key of Eternal Life, the Spark of the Light of Amma, was the son of Eve/Lilith and the Good God Enki. Cain is an In-Between, a Demi-God. He became the Ancestor of the Co-Creators, the Artists and the Architects. The Blacksmiths are able to predict the Cycles of the Future and know how to use the Power of the Female Serpent to perform Black and White Al Khemi.

When the Green Sahara turned into a Red Desert the Children of Heru moved away to the North, the East and the South. A small part stayed in Punt, Ethiopia. With them they carried the Story of the Garden of Eden, the Knowledge of the Serpent Energy and the Interventions of the Sumerian Annunaki, The Orisha of the Yoruba and the Egyptian Pesedjet.

The Kebra Nagast, the Glory of the Kings, the Holy Book of Ethiopia, the Black Land of Punt, the Land of the Gods, contains the original text of the Torah, the Old Testament. This text was later adopted and transformed to support the male dominant views of the Children of Seth/Enlil. The old myths of the people of Ethiopia still live on in the old religions of Africa and India.

The Children of Anhk, the Dj-edi, the Druids and the Magi, the people born with the Third Eye of Isis, the Co-Creators of Ptah/Enki, became the Carriers of the Knowledge of the Nine Concepts of Creation, The Tree of Life, the Old Rituals, the Al Khemi and the Ancient Tools, the Dj-ed and the BnBn Stone.

The Blacksmiths payd a high price for their Secret Knowledge. They were isolated in Society and were often killed by the Male Dominators of Seth when they wanted to tell the Truth, the Gnosis, about the Divine Light of Love of the Mother Goddess.

The Children of the Anhk are all waiting for the Return of the Golden Hawk, the Benu Bird, the Phoenix, who will bring a new Egg to the lost BnBn Stone of Heliopolos from the Land of Fire. When this happens the Time of Seth, the Kali Yuga, the Dark Age, will be over and the Golden Age of the Phoenix, the Age of Aquarius will start.

In the period of the Hunter-Gatherers the Shaman, the person who could See with the Third Eye of Horus and could Predict the Behavior of the Trickster was the most important person in Society. At that time the Humans felt they were an insignificant part of an almost inpredictable Mother Nature.

When the Farmer Cain killed the Monadic Shepherd Abel the metaphor of the Plant (Birth. Death, Rebirth) became dominant. The concepts of Immortallity, Heaven and Hell were created and the local Priests who knew about the many Ways to reach Heaven and avoid Hell took over the role of the Shaman. Life became more predictable and Religion became a Way of Living.

In the last step Time, History, the City and the State appeared. The King/Gods standardized Religion into a Central System of Rules to Obey. Mother Nature transformed into a System to Control. To cope with the Abuse of Power, the Trickery and Deceit of the Pig Seth/Machiavelli, everybody had to wear a Mask to hide his Essence and an Armor to protect his Heart.

LINKS

About the Great Flood

About the Phoenicians

Ron Eglash African Fractals

About The Spread Of Civilization In Africa

About the Cush

About the Myths of the Dogon

About the African Trickster Gods

Why Atlantis is situated in Lake Tritonis

About the Sekhem, the Void

About the Cult of the Black Stone of Mekka

About the Celtic Black Stone of Destiny

About the Egyptian Black Stone of Destiny

About the Triple Goddess

About the Trinity

About the Island of IonA and St Columba, the Dove

About the Pleiades

About the Four Egyptian Twins, the Pesedjet

About FA Yoriba Divination Syste

About the Physics and Mathematics of FA

About the DNA-map of Humanity

About DJ-ed, the Egyptian Serpent Power and the Spinal Column

A Book about the History of Aksum

About the Egyptian Light Bodies, the Sahu and the Ka

About Whole and Parts

Tuesday, December 23rd, 2008

The Whole of Reality is divided into many overlapping Parts. Most of the Humans look at Wholes and Parts (Smaller Wholes, Contexts) from a Static Perspective but the Whole is also a Dynamic Entity. The Parts are overlapping because many people don’t know how to define the right categories. Overlapping, confusing, part/whole relations are the sole cause of every conflict and war.

The Static and the Dynamic can be divided in two parts. In the first part of the Static we combine the Parts in a different way (Combine, Create). In the second part of the Static we define a Boundary around a part of the parts to protect the Territory (Control). In this case an Outside and an Inside is created.

The Dynamic can be divided in a Causal part (Time) and a Connected Part (Space). In the first part we create a Causal Network in the second part we create a Relationship Network (Social).

The Four (4) Parts of the Two (2) Parts of the Whole can be divided deeper and deeper. The Next division generates sixteen (16) Perspectives.

The big problem is to Name all the Division with a proper Term. Have a look at the Model Below.

     

Static

     
     

Whole

     
             
             
     

Dynamic Whole

     
     

Split/Merge

     
             
             
     

Static

     
     

Parts

     
             
 

Static

     

Dynamic

 

Change

 

Protect

 

Space

 

Time

Create

 

Control

 

Connect

 

Cause

New

 

Boundary

 

Actors

 

Effect

Combinations

     

 

   
             
             
   

Protect

 

Time

   
             
     

Whole

     
             
   

Change

 

Space

   
             
 

Protect

Time

Space

Change

Whole

 

Protect

Control

Plan

Communicate

Brainstorm

Project

 

Time

Test

Cause

Invite

Inspire

Contract

 

Space

Dialogue

Network

Connect

Meeting

Integrate

 

Change

Design

Start

Meeting

Connect

Fuse

 

Whole

Think

Sense

Feel

Imagine

Reflect

 

It becomes much easier when the Names are substituted by Numbers. First we have to create a Number System. We use the same procedure.

We start with the Whole Numbers. They are used to Count. We could also use the Prime Numbers since they are the basic parts of the Whole Number System.

The Rational Numbers are the result of the operation of division. They can be represented by the harmonic series (1,1/2,1/3,1/4,..).

Irrational numbers (Pi, e, phi, sqrt(2)) capture the static relationships, the rules of the whole. They are not numbers because it is impossible to count with them. Irrational numbers can be constructed by combining the parts of the harmonic series;

Imaginary numbers capture the transitions (cyclic change) and transformations (change of form) of dynamic relationships.

 

     

Whole

     
     

Numbers

     
             
             
     

Dynamic Whole

     
     

Operation

     
     

Split/Merge

     
             
             
     

Primes

     
             
 

Primes

     

Operation

 
         

Split/Merge

 

Create

 

Rules

 

Connect

 

Cause

Imaginary

 

Irrational

 

Multiplication

 

Addition

Numbers

 

Numbers

 

Division

 

Subtraction

             
             
   

Irrational

 

Whole

   
       

Numbers

   
     

Primes

     
             
   

Imaginary

 

Rational

   
             

In the next part we have a look at a very old (5000 BC!!) Universal Rule System of the Whole Numbers. This System is called the Lo Shu. The Lo Shu is a 3×3 Magic Square. Every straight line of three numbers adds up to the number 15. The Magic, Every Sum of Three Amounts to 15, is the General Rule that keeps the Opposites together. It is a very Simple Rule with spectacular consequences.

The 3×3 Magic Square shows a very old wisdom, “Everything Comes in Three“. Two Opposite Forces are always balanced by a third Force, the Mediator.

When we subtract every number of the Lo Shu (Left) with the number in the center (5) a new Magic Square appears (Right) with a zero sum.

This Magic Square shows interesting symmetries:

1. The numbers (8,2), (9,1), (4,6), (3,7) have a zero sum. They are Opposites if we use the number 0 as the Center of the Opposites of the Whole Numbers. In this way we are able to reduce the numbers to five (0,1,2,3,4).

2. The numbers (3,2) and (1,4) add up to 5. They combine in a “strange” 2×2 Magic Quadrant. If we transform this quadrant to a base 0 (by subtracting 1), the Magic 2×2 Quadrant can be transformed into a Binary Quadrant (11,01,10,00) again with interesting symmetries. The basic forces are brought back to two, Expansion and Contraction (Yang and Yin, 0 and 1) with the “0′ in the Middle.

There are many more symmetries to be found in the basic Magic Square of the Universe but it is impossible to explain them all in this small blog. One of the most important symmetries in the Lo Shu is a Cycle. It helps you to travel the many possible combinations on every level.

The Old Chinese Scientists used the Symmetries of the Lo Shu to create a cycle called the Sheng Cycle. This Cycle is the Cycle of the Seasons but also the Cycle of the Body (Acupuncture), the Cycle of the Context (Feng Shui) and the Cycle of Astrology.

Below is a small part of a huge correspondence table that makes it possible to reuse the practice of one field  of Science (Nature, The Seasons) in a completely different practice (Medicine, Psychology).

If You are Angry You are in the Negative State (Counter the Clock) of the Spring State of the Sheng Cycle (called the Insulting Cycle) and you will have problems with your Liver and Gallbladder.

Something, an Idea You cannot Express, wants to Come out to expand in the Summer-State.

Perhaps You Have to start a Design but do you have a Plan?

What is the Whole You are Looking at?

What are the Boundaries?

4

9

2

   

-5

 

-1

4

-3

3

5

7

   

-5

 

-2

0

2

8

1

6

   

-5

 

3

-4

1

                   
                   
                   

Lo Shu

Lo Shu

Step

Name

Season

Feeding

Controlling

Process

Positive

Negative

Number

Number

     

Organs

Organs

 

Emotion

Emotion

3/-2

7/2

1

Wood

Spring

Liver

Gallbladder

Protect

Love

Anger

2/-3

8/3

2

Fire

Summer

Heart

Small Intestine

Time

Joy

Hate

                   

5/0

0/5

3

Earth

Indian

Spleen

Stomach

Balance

Fulfillment

Obsession

                   

1/-4

9/4

4

Metal

Autumn

Lungs

Colon

Space

Hope

Grief

4/-1

6/1

5

Water

Winter

Kidney

Bladder

Change

Will

Fear

Other scientists found many more relationships between the Lo Shu and Physics (Tony Smith), The I Tjing (Chris Lofting), The Tarot, Archetypes (Jung), Myths (Campbell), Historic Cycles (McKenna), Personality Types (MBTI, Enneagram), Left/Right Brain (Chris Lofting) and much more.

How to use all this knowledge

1. Always look at the Outside of the Boundary of the Context you want to analyze. If you cannot divide a Context in an Inside and an Outside you have done something wrong.

2. Always look at the Static AND the Dynamic part of the Context.

3. The Dynamic Part of the Context is related to a Cause/Effect-pattern (Time). Something is happening!

4. Look at the Social Dynamic Part of the Context. Entities, Objects, Roles, Humans are connecting the Time Lines. They are the Relations in your Static Model.

5. Always try to find New Combinations. If the Context is blocked it wants to move to another Time Line. Remove the Blockages!

6. If you want to analyze the Context one step deeper (16/25 perspectives, watch out, can you handle this?) try to make all the combinations that are possible. Use the Table in this Blog or create Your Own table (Fun). Read the PDF of Chris Lofting! Always use the Sheng Cycle!

7. Want to move much deeper? Use the Whole Numbers. Find Patterns (Irrational, Imaginary Numbers) and transform the patterns into Words. Use Fairy Tales, Myths, Archetypes, Music to explain the transformation.

8. Always Move Up in the Sky (Abstract, Fuse, Integrate) and Down to Earth (Implement, Try Out). Try to Unite what You have Divided. Keep an Overview. Reflect.

There is much more to say but I think you have enough food to digest.

LINKS

Chris Lofting, How to Create Sound Categories using the I Tjing

 Tony Smith, About The Lo Shu and Physics

 

About the Chinese Domino Game and the Magic Square of Lo Shu

Tuesday, April 29th, 2008

Old Games always contain a Mystical meaning. They contain a Code. Over and over again the same Code is implemented in many games.  This blog is about the Chinese Domino Game.

The Old Chinese Masters made a distinction between the Square and the Circle. The Square was related to Human Creativity (Playing the Infinite Game of Life). The Circle was related to the Cycle and the Spiraling Spiral, the Fundamental Laws of the Universe.

The meeting of the Square, The Game,  and the Circle, Fate, generates Luck, Coincidence or Synchronicity.

The Chinese Domino Game Set is created by a throw of two six-sided dices. There are therefore 21 unique patterns. The 22nd pattern , the whole, closes the circle.

A tile is divided into two suits called Military and Civilian. The Civilian tiles are the Upper Triangle in the Matrix generated by the 36(6X6) throws of the dice. We find the same division in the Old version of Chess. The Civilian tiles are named and ranked according to their Level (Heaven, Earth, Human).

Each civilian tile has a Chinese name : The 6-6 is tin (天 heaven), 1-1 is dei (地 earth), 4-4 is yan (人 man), 1-3 is ngo (鵝 goose or 和 harmony), 5-5 is mui (梅 mei, flower).

The six symmetrical tiles (1-1, 2-2, ..) are the Basic Powers in the Universe (Earth, HuMan, Fire (Growth), Heaven, Center,..). The other Tiles are Connectors between the Powers and the Levels.

Chinese language is a Pictorial language. The Pictures are related to Sounds (morphemes). The oldest version of Chinese consisted of only Four Tones. The meaning of the language is highly Context-Dependent.

Numbers are also Context-Dependent. You have to know the modulus to understand what a number means. In the West we are accustomed to the use of 10. The number 13 means 10+3. In the “Old Days” other numbers where used.

When we move back to the Domino-Game we see that the base-number is 6. 1-3 (meaning Harmony) is really 6+3=9 in our notation based on 10.

A Magic Square is combination of numbers where the numbers in all rows, all columns, and both diagonals sum to the same constant. One of the oldest Magic Squares is the Lo Shu Square. It was given after the Great Deluge to the Mythical Emperor Lo Shu by a Magical Turtle. The Turtle is the Symbol of the Star System Orion.

4 9 2
3 5 7
8 1 6

The Lo Shu Square is a Code. If you follow the “numbers” 1-9 a Pattern emerges called the (generating) Sheng Cycle. When the numbers are added the number 15 (3X5) appears. The number 15 represents Three Times the Center which again indicates that there are Three levels. The three levels enfold into 7 levels when we apply the movement, the Spin, of the Cycle (Left-Handed, Right Handed).

The Sheng Cycle

The Sheng Cycle

The Left-Handed cycle is called the Destructive Woe Cycle. The Generating Cycle is voided by the Destructing Cycle (-1 + 1 = 0). The number 7 is 2X3+1 (-3,-2,-1, 0, 1, 2, 3).

The division of the numbers 22 and 7 generates an approximation of the number pi, the Squaring of the Circle. It binds the Game of Life (Square) to the Laws of the Universe (Circle).

The 5 represents the Center and is called the Force of Life (Chi). Chi was called Ether in the West and Prana in India. Ether is called the Vacuum in Modern Physics.

The Magic Square is a representation of a Topological Structure called the Moebius Ring. The Ring is a Cyclic Structure without a Boundary. The Ring is the Basic Fractal pattern. The Universe is a Closed Self-Referencial structure, a Spiraling Spiral. The Ring enfolds in a Ring and the Enfolding is a Ring.

The Magic Square can be expanded to the 64 (8X8, the Checker Board) hexagrams of the I Tjing.

In the Game of Chess the Pawns are moved along the lines of The I Tjing. They create a Pattern just like the Game of Domino creates a pattern.

Both Games were played by Four Players, The Four Forces. The Games are a simulation of Life (or Earth or the Universe).

The Seven Heavens

The Seven Heavens represented by the Tower of Babylon

The Magic Square is also the basic pattern behind Acupuncture, Feng Shui and Astrology. The Magic Square Forces the Forces to Cooperate. They have to stay within the Limits of 15, the Upwards Spiral.

To move back to the Center (The Void) they travel back by the Downward Spiral. The Up/Downward Spiral is the basic Fractal Pattern of the Universe.

Again we move back to the game of Domino.

The Domino Stones can be seen as Numbers with a base 6, Characters with a meaning (1-3 (=9, the end state) means Goose and Harmony), Sounds, Colors and connectors in the Magic Square. In this case there is a relationship to the Human Body, The Living Context (Feng Shui), The Planets and the Galaxy.

The 21 unique throws of the two six-sided dices can be rewritten in a combination of two Lo Shu 3×3 Magic Squares in which one square is the negative of the other and the zero is in the middle ((-1,-2,-3,0,1,2,3) x (1,2,3)). It represents a combination of a left- and righ hand turn of the Cheng Cycle.

The Old Masters believed in a self-referential Universe. The “Fractal” pattern repeates itself on every Level. At this moment Scientists start to believe the same.

Thoth and the Human represented by the Ape. The Ape uses the Eye of Horus (the third Eye) to look at Thoth

Thoth and the Human represented by the Ape. The Ape uses the Eye of Horus (the third Eye) to look at Thoth

The Magic Square was given to mankind after the Great Deluce by a Mythical Entity, Half Man, Half Serpent. He came from an old civilization that was situated in MU. His Knowledge came from the Star System Orion (The Turtle).

The Egyptian name of this Magical Entity is Thoht, Tehuti or Djehuti. The Greek named him Hermes “Three Times Great” (Trismegistus) which relates him to the number 15 (3X5) of the Magical Square. Thoth was the keeper of the Secrets of Osiris (The Planet Sirius). Thoth was the Moon-God and is represented in old paintings as ibis-headed with the disc and crescent of the Moon. Hermus Trismegustus inspired the Magicians in the Middle Ages (John Dee) and new “mystical” groups like the Rosecrusians and the Free Masons.

Thoth came to Earth to teach mankind. He made all kinds of calculations about the Heavens, the Stars and the Earth. When he was finished he returned to Heaven (Orion?). When Earth is in a huge crisis he will come back. His knowledge and calculations were put into the Sacred Books of the Temple put unto 36535 scrolls that were enclosed in the Hall of Records. The Keys of Thoth were put into a Calendar. The Egyptian calendar was based on the Moon Cycle. They synchronized the Moon Cycle with the Cycle of Sirius. Sirius in the star system Orion rose every 365 days. The Egyptian Year started when Sirius appeared (June 21th).

The Playing Board of the Egyptian Game Mehen

The Playing Board of the Egyptian Game Mehen

Thoth came from Sirius (Al Shira, The Shining One). Interesting enough all the other Serpent-Kings came from the same Star System. All the Serpent Kings created Pyramids (even in China!) and the Pyramids are a “Simulator” of the Orion System.

Thoth will Return. We will be warned about the Rebirth of Thoth when something happens with Sirius. In a Hopi Myth Sirius is called the Blue Kachina. When the Blue Kachine drops its mask (or veal) the Fifth World will appear.

Let us move back to the Game of Domino.

Vladimir Pakhomov wrote a book called the Message to the Unborn. He used the Game of Domino to encrypt the Code behind the Code. The book contains more than 500 pages to explain his theory.

When he placed the Chinese Domino game in a Magic Square of Lo Shu and used the Orion System as the Central Code the code behind the code showed itself.

He named his book Message to the Unborn because he shows that our Ancestors from the Stars not only gave us a warning. They also gave us Tools to Save Mankind. The Tools are Magical Incantations (Tones and Sounds). Perhaps it is Very Easy to Save Mankind!

LINKS

A website about the Lo Shu

About Mehen, the Spiral Game

About Thoth

About the African History of Ancient Egypt

About the Djed-Pillar, the Egyptian Serpent

About the Nine Spiritual Bodies of Egypt

About Egyptian Physics

About Heliopolis, the Ancient University of Egypt

What Terrence McKenna forgot to Look at: The Final Explanation of what is Happening in 2012?

Wednesday, March 26th, 2008

I have spent a lot of time this week to analyze Time Wave Zero of Terrence McKenna. I have developed my own cycle model. When somebody else has developed such a model I want to find out what the differences are. Suddenly I got a flash of insight and was able to map my model to Time Wave Zero. I will try to explain what I did.

timewavezeroThe cycle is really a (logaritmic) spiral that is closed in itself. It has to be closed in itself because otherwise the spiral would move into infinity. 

Infinity is a concept that has created many problems in mathematics.

The Dutch mathematician Brouwer created a mathematics without infinity and he proved to be right.

George Lakoff proved the same thing by showing that mathematics only works when you are able to visualize a concept. Humans need a metaphor to reason and the metaphor has be connected to their material existence in space.

When a pattern is logaritmic and closed in itself it is a self-referencial system and a self-referential system is a fractal.

The cycle I discovered emerged when I was studying Chinese Philosphy. To understand Chinese Philosophy I went back in history and discovered the Yellow River Map.

The Yellow River Map was created by the first Emperor of China and is in essence a magic square where the sum of all the numbers is 15. The magic square has a 5 in the middle. The first Emperor of China came from the land of MU. MU or Lemuria is an old civilization that existed before Atlantis. The science of MU was aimed at Creation, Harmony and Beauty.

Out of the Yellow River Map came the I Tjing and the I Tjing was the basis of Time Wave Zero.

What Terrence McKenna did not see is that the cycle moves through five stages. The Chinese called them Wood, Earth, Fire, Water and Metal. In other systems different names where used. The most simple model that is you can use to understand the Cycle is the model of the Seasons.

The names of the phases are really not important they are principles or metaphors. Fire is the principle of Expansion and Wind (or Air or Wood) is the principle of Compression. I named the principles Plan, Performance, Protection, Potential and Possibility.

It is very difficult to imagine or understand the principle of self-reference. Self-reference means that a pattern is repeating on every level. When Self-reference is closed in itself the principle is also repeating itself.

The last thing you have to understand is the principle of resonance. Cycles can be seen as Waves and Waves interfere. Long Cycles interfere with Short Cycles. Short term cycles are “riding the waves of” a long term cycle. When Waves are seen as Music the Cycles produces Overtones. When many cycles are in the same stage they are creating a conjunction and the principle of the Wave is amplified.

In essence the Waves are related to Music.

What is Happening?

We are in the Compressing Phase of the Cycle of Time (Male). The Compressing Phase means that Time is Speading Up and we are reaching the Zero Point.

In every step of the compression we see the same fractal appearing and the fractal moves through the five stage but in an excellarating speed.

When we have reached the Zero Point the Wave will Move Back in Time. We will see the same stages appear but the Cycle will be reversed. It will move through the same stages but in a different order.

Until today the Cycle is moving according to what the Chinese call the Destructing Cycle. When we move back in time we will be controlled by the Generating Cycle. This is the Cycle of Creation.

2012 will be the big turning point in many cycles. It will be a major conjunction and in this conjunction one aspect of all the cycles (Essence, The Centre, Harmony, Beauty) will be extremely amplified. We are reaching a moment of Pure Beauty and Extreme Harmony.

After that the Cycle will move back. It will be in the expanding mode (Female).

But before we reach this point Zero we will experience all the stages in an excellerating mode.

We will Expand, Compress, Find Balance, Move Up and Move Down until we have reached the Top the final point of Total Compression of Every Thing, The Alpha and the Omega.

It will be a very “Bumpy Ride” and many people will experience the compression as a Major Crisis. Many (Male) Believe-Systems will fale. At the end we will be without any model to explain what will happen. The Male-principle of Total Control will fail. Science will be without any answer.

The Emotions, the Unconsciousness,  and the Imagination (Spirit) already know what is going to happen. We will be ONE for a short infinite moment of time.

About the Game of Chess

Friday, October 12th, 2007

radha-krishna_chessI want to tell you something about Games. What I want to show is that behind many Games there is a simple structure.

If we understand this structure we are more aware of “What the game is telling You” or “What Game is playing ME” or “How can I leave the Game and create my Own Game“.

Chess originated in ancient India and was known as Chatur-Anga – Meaning 4 bodied, as it was played by 4 players. The Sanskrit name Chaturanga was also used to describe the Indian army of Vedic times in which a platoon had four parts: one elephant, one chariot, three soldiers on horseback, and five foot-soldiers. The board was known as the ‘ashtapada’ (eight-square).

The ancient Game of Chess represented a very old structure, the Four with the Fifth (The Playing Board) in the Middle.

The Game was a Scenario Game. The Players could explore the Fixed Structure of the Universe (The Cycle) implemented in the Playing Board using the Roles (The Pawns) that are available in Our Reality that is controlled by the Matrix.  

 Every ancient game has a “mystical meaning“. It was not only used to play but also to learn about “the Game of Life”.

Every “old game” can be mapped to a “Standard-Model”.

The most comprehensive model is the TAROT. The Tarot is the basic framework for all the old Card Games.

It contains 3 levels where every level is an enfolding of a higher level. The Four Forces with the Five (Consciousness) in the Center are expanded into a level of 22 (Higher Arcana) and a lower level of 56 cards (Lower Arcana).

The structure of the Tarot, Chess, the TORAh, the I TJING can also be mapped to modern physics.

Will McWhinney used the Four World Views (with the Fifth in the Center) to define Game Levels. The lowest level he defined was the Analytical Game. It is a combination of Unity (Models, Rules) and Sensory (Reality). This game is about Mapping A Model into Reality or Testing a Model with Reality.

In the Mystical explanation this is the Fight (or Tension or Conflict) between Control (Model) and Desire (Reality, What we See with our Eyes).

The Analytical Game is the game of Western Civilization. It can be been seen on every level. In Society it is the fight between the State (Control, Laws) and Companies and Citizens who want to exceed the Limits of the Law. The Analytical Game is also the Game of Competition and War (Winner takes all).

If you are Played By this Game you are Out of Control. You are driven by your Ego (Desire) and/or by the Fear to lose Control.

If You are Different there are two other forces called Spirit (Mythic, I AM, Imagination) and/or Soul (Social, YOU ARE, Empathy) that are playing a Role in the Game of Your Life.

You are playing the Game of the Market (Desire/Impuls vs Soul/Emotion), the Game of Politics (Soul/Emotion vs Control) or the Game of Innovation (Spirit/Imagination vs Action/Desire).

The highest Game, The Infinite Game, is the Game of Spirit AND Soul. It is the Game to Keep on Playing by Creating New Games.

At this level You are Co-Creating with a Spirit on a higher Level (I AM WHAT I AM). It is a Game without Words and Logic. It is the Game of the Gnōsis (Knowing and Being).

When the game of Chess was transformed into a game of Two Players it changed into an Analytical Game. The aspect of Cooperation (Soul, Green) and Creation (Spirit, Yellow) were removed. The Colors Red, Blue, Yellow and Green turned into Black and White.

I know many of you think this an interesting way to explain something but Imagine (Spirit) that this was done “On Purpose” (Control).

Imagine there is a Force (Ahriman, the Fear to Lose Control, Mind, Thinking, Air, Wind) that is cooperating with the force of Desire (Lucifer, Fire) to take over.

rainbowIt does not want his Expectations of the Future to Fail. The Fear to Lose Control changed the many Games Levels into one level of Play.

It changed the Spherical Field of the Multicolor Rainbow of Existence into a 2-dimensional Black and White World of Crossing Lines, the Plane of Cause and Effect.

It even made it very difficult for people who “Feel, Care and Love (Nurses, Priests)” and/or “See the Light (Prophets, Artists)” to make a living. Imagine You are equipped with one or even two of the faculties this Force is trying to disturb.

What can you do?

I am very interested in History. All my life I have spent a lot of time to find out “what happened”. One of my searches brought me to the level of Religion.

Religion is the game of Spirit AND Soul. It is about the Experience of Beauty and the Whole. It can be changed into an Analytical Game by enforcing Control, Telling people How to Believe.

magiA part of the History of Christianity can be traced back to the Cult of Mithras  and earlier the teachings of Zoroaster . The three Magi who came to see Jezus where of the faith of Zoroaster.

Founded in Persia Zoroastrianism is the world’s oldest religion (3500 B.C). Parsis, most of whom have made Mumbai their home, are the followers of this religion. Parsis can also be found in Karachi, Pakistan, and Shiraj, in Iran. Its founder, Zoroaster, was born in Mazar-I-Sharif in Afghanistan!

To understand more about Zoroaster I ordered a book called The Teaching of Zoroaster and the Philosophy of the Parsi Religion by S.A. Kapadia. This small book is one of the most beautifull religious books I ever read. The book is about Love. It is about the Eternal Love of Man and Wife, The love for Childeren, The love for the Sick and the Poor, the Love of Mankind and The Love of Nature.

In this book the Teachings of Zoroaster are translated into 3 simple statements:

Good Thoughts, Good Words and Good Deeds.

Resting in the Centre (citations out of the Zhuang Zi)

Saturday, May 26th, 2007

A friend gave me the Dutch translation of the Zhuang Zi (translated by Kristofer Schipper) for my birthday. In the cover we read “The classic book about Taoism”. Trying to be with the Tao is something I strive for all my life. Getting to know Chinese philosophy started when I was about twenty.

I discovered the I Tjing (and of course Jung) and started to read.

My first manager at ABN was an old Colonel of the Intelligence and he taught me everything about Tzun Zu. Tzun Zu is about fighting a war without fighting. Let your opponent waste his energy until he destroys himself.

I always believed that most of the time you have to do nothing because things go their way (this is called Wu-Wei). I could manage many people and huge projects without spending much time. At a certain moment in time (called the Magic Moment) there is a fork (Chaos Theory) and a choice can be made. The fork can be felt. It feels like there is a lot of flux (Something is coming on don’t know what it is but it’s getting stronger (Blood, Sweat & Tears)).

Clever Managers don’t do anything (they delegate) and only act at the Magic Moment.

When I encountered the Unknown the Zhuang Zi opened itself to me. I understood what was told and what was meant by The Dawn, The Centre, The Loner and The Light.

The message of the Zhuang Zi is very simple and very complex. It is simple if you experience or want to experience the Unknown.

It is utterly incomprehensible when you are still Thinking.

Here are some citations (Translated out of the Dutch text, sorry) that could be helpfull to get out of Thinking.

“Without the Other there is no I and without the I we can’t see a difference”. Every Other is a Mirror. In this Mirror we project Our Self.

“From the moment we have received our body we keep waiting for the moment that we die”. The Fear of Dying is prohibiting us to Live.

“Speaking is not blowing air. People that utter words say something. But what they are saying is changing all the time”. Theories are constantly changing because Words are unable to express What IS. When we become Silent (“Meditate”, “Reflect”) we know everything because there not much we have to know.

“Every creature is “the other” for “the other” and every creature is Yourself for Yourself”. You are the Source of Everything.

“If you take the perspective of the Other you can’t see Yourself”. Don’t look Outside. Look Inside. Everything that is Outside can be found Inside.

“The Other emanates out of Yourself and Yourself depends on the Other”

This is the Law of Complementary Opposites. Just as Life produces Death and Death produces Life and Wrong produces Right and Right produces Wrong. There is no Right and Wrong. They are the sides of the same Coin but we are unable to see the Coin. We are constantly flipping from one side to the other side.

“If this is true, is there really “The other” and “Yourself”?

“If we merge the Two we enter in the Centre of the Wheel (The Tao)”.

“In the Centre there is no movement”.

“We come to rest and live in the Light”.

The Only thing we have to do is to Stay and Act out of our Centre, The Heart.

I will tell you a little secret.

The Zhuang Zi contains many references to an old civilization called MU. In the City of Xian (mentioned in the Zhuang Zi) the Chinese have for a long time hided a White Pyramid that contains the same pictures as the famous Pyramids of the Mayas.