“Fu Hsi spontaneously brought forth the Eight Trigrams to unite with the shining spirits and to categorize the nature of the myriad things.”
Poem from the Ta Chuan
Poem from the Ta Chuan
THE I CHING'S BEGINNINGS
The I Ching known as the Book of Changes is one of the oldest of the Chinese classic texts from around 1100 BC. It contains a divination system of 64 messages ( Hexagrams) each including 6 sub readings, based on the lines within the hexagrams. Over time Chinese scholars reinterpreted these as a system of cosmology and philosophy. It was intrinsic to ancient Chinese culture which centered on the principles of the:
• dynamic balance of opposites
• evolution of events as a process and
• inevitability of change.
Each broken line represents in Taoist philosophy, yin and the solid line, yang it’s opposite or compliment. In metaphysics they represent Zero and Infinity, in the binary math system, 0 & 1 and in Cosmology, Space  Time and Electromagnetism, positive and negative. Of interest, if you take this philosophy to its ultimate conclusion is that zero and one are just two complementing aspect of the same number. Putting it another way 1 = 0. Worth pondering as we will see later on!!
The I Ching known as the Book of Changes is one of the oldest of the Chinese classic texts from around 1100 BC. It contains a divination system of 64 messages ( Hexagrams) each including 6 sub readings, based on the lines within the hexagrams. Over time Chinese scholars reinterpreted these as a system of cosmology and philosophy. It was intrinsic to ancient Chinese culture which centered on the principles of the:
• dynamic balance of opposites
• evolution of events as a process and
• inevitability of change.
Each broken line represents in Taoist philosophy, yin and the solid line, yang it’s opposite or compliment. In metaphysics they represent Zero and Infinity, in the binary math system, 0 & 1 and in Cosmology, Space  Time and Electromagnetism, positive and negative. Of interest, if you take this philosophy to its ultimate conclusion is that zero and one are just two complementing aspect of the same number. Putting it another way 1 = 0. Worth pondering as we will see later on!!
Fu Hsi the Ancient Culture Bearer
Four key people have been influential in uncovered and deepening our appreciation of the relationships of the Hexagrams in the I Ching. We will meet them in turn starting with Fu Hsi.
Fu Hsi was an ancient culture hero of the Chinese and is attributed to have witnessed a very unique turtle (yes there's those turtles again, check carefully at Fu Hsi feet) come out of the water after a great flood, on which he noticed very special markings and patterns on its shell (see, a print of Fu Hsi's turtle with its markings below), and soon after this event he was inspired to create the trigrams and the Tai Chi principles of the I Ching. The cycling yin – yang symbol is a representation of the polarization of the Tao from its unconditioned state of nothingness.
In the I Ching system, there is Wu Chi the Great Void, which the Two Primal Forms (Yin and Yang) emanates from. Morphing into the T’ai Chi (Supreme Ultimate Oneness – Tao), The two Primal Forms produce the Four Emblems. The Four Emblems produce the Ba Gua; the Eight Trigrams.
The Eight Trigrams were then doubled to form the 64 Hexagrams. These are shown in the first diagram above both in a circular and square format.
For every Yin there is a Yang. Each opposite complementing, completing the other. Up has its down, north it’s south and so on:
Four key people have been influential in uncovered and deepening our appreciation of the relationships of the Hexagrams in the I Ching. We will meet them in turn starting with Fu Hsi.
Fu Hsi was an ancient culture hero of the Chinese and is attributed to have witnessed a very unique turtle (yes there's those turtles again, check carefully at Fu Hsi feet) come out of the water after a great flood, on which he noticed very special markings and patterns on its shell (see, a print of Fu Hsi's turtle with its markings below), and soon after this event he was inspired to create the trigrams and the Tai Chi principles of the I Ching. The cycling yin – yang symbol is a representation of the polarization of the Tao from its unconditioned state of nothingness.
In the I Ching system, there is Wu Chi the Great Void, which the Two Primal Forms (Yin and Yang) emanates from. Morphing into the T’ai Chi (Supreme Ultimate Oneness – Tao), The two Primal Forms produce the Four Emblems. The Four Emblems produce the Ba Gua; the Eight Trigrams.
The Eight Trigrams were then doubled to form the 64 Hexagrams. These are shown in the first diagram above both in a circular and square format.
For every Yin there is a Yang. Each opposite complementing, completing the other. Up has its down, north it’s south and so on:
Zero Infinity
0 1 Space Time Positive + Negative  Inertia Momentum In Out 
On Off
Light Dark Black White Male Female Cold Hot Wet Dry 
Kings Wens Imprisonment
King Wen 1152 – 1056 BC was king of Zhou during the late Shang dynasty. Although it was his son Wu who conquered the Shang following the Battle of Muye, King Wen was honored as the founder of the Zhou dynasty. Before the corrupt Emperor Zhou Xin Shang was overthrown King Wen was put under house arrest by him and it was during this time he pondered the trigrams and:
. paired the hexagrams into opposites and or reflections
. renumbered them (see table below) but curiously not in their numerical order i.e. not based on a binary
. wrote the 64 I Ching divination messages which the I Ching is most commonly known for.
King Wen 1152 – 1056 BC was king of Zhou during the late Shang dynasty. Although it was his son Wu who conquered the Shang following the Battle of Muye, King Wen was honored as the founder of the Zhou dynasty. Before the corrupt Emperor Zhou Xin Shang was overthrown King Wen was put under house arrest by him and it was during this time he pondered the trigrams and:
. paired the hexagrams into opposites and or reflections
. renumbered them (see table below) but curiously not in their numerical order i.e. not based on a binary
. wrote the 64 I Ching divination messages which the I Ching is most commonly known for.
Examples of the opposites and reflections of the Hexagrams are set out below .
Opposites
All hexagrams have an opposite, there are no exceptions.
Example:
Reflections  Symmetry
All hexagrams have a reflection with the exception of 8 Hexagrams which only self reflect.
Examples:
To follow is a study on reflecting hexagrams, including the 8 self reflecting hexagrams which will be shown in binary numbers.
Gottfried Wilhelm (von) Leibniz Discovery
Leibniz, the mathematician who shared with Newton the credit for the creation of calculus, was sent a copy of the I Ching from China by the Jesuit priest Bouvet in 1689. Leibniz recognized these as binary representations of the first 64 integers from 0 to 63. In 1703 he published his first paper on binary integers in which he acknowledged their oriental origin.
Following are examples of how the I Ching Hexagrams relates to the Binary system and the Binary system relates to Base 10. Notice that the binary system is based on doubling!! 1, 2, 4, 8, 16, 32, 64 etc Each place holder in binary doubling from the number before it as can be seen below. Also note the Hexagrams have been laid on their side to show how they relate to the zero and one in binary in the row below them.
Leibniz, the mathematician who shared with Newton the credit for the creation of calculus, was sent a copy of the I Ching from China by the Jesuit priest Bouvet in 1689. Leibniz recognized these as binary representations of the first 64 integers from 0 to 63. In 1703 he published his first paper on binary integers in which he acknowledged their oriental origin.
Following are examples of how the I Ching Hexagrams relates to the Binary system and the Binary system relates to Base 10. Notice that the binary system is based on doubling!! 1, 2, 4, 8, 16, 32, 64 etc Each place holder in binary doubling from the number before it as can be seen below. Also note the Hexagrams have been laid on their side to show how they relate to the zero and one in binary in the row below them.
Examples of I Ching, Binary and Decimal Comparisons
Magic Reflection
Below is a study on reflecting hexagrams shown as binary numbers. Each binary number has its reflection (mirror image) directly opposite it through the center line. Note the self reflecting hexagrams mentioned above, shown here in binary numbers, are centered along the line.
Below is a study on reflecting hexagrams shown as binary numbers. Each binary number has its reflection (mirror image) directly opposite it through the center line. Note the self reflecting hexagrams mentioned above, shown here in binary numbers, are centered along the line.
By rotating the above set of reflecting binary numbers so the 63 is moved from the bottom corner to the top left hand corner, shown below, and changing the binary numbers into their decimal numbers you get the magic square below. Each pair of opposite numbers via the center (e.g's 4 and 59, 30 and 33) add to 63 which ∑'s to 9. Each row and column and both diagonals add up to 252 which ∑'s to 9. The total of all the numbers is 2016, therefore the whole magic square ∑'s to 9 !!
If you consider the 1's as positives and the 0's as negatives the positives and negatives cancel each other out in the diagram above. There is nothing there. The implications of this are that in binary system 1 = 0 just as 9 = 0 in the decimal system. Keep this in mind as we explore the interplay of opposites within energy fields in the deliberations below.
If you consider the 1's as positives and the 0's as negatives the positives and negatives cancel each other out in the diagram above. There is nothing there. The implications of this are that in binary system 1 = 0 just as 9 = 0 in the decimal system. Keep this in mind as we explore the interplay of opposites within energy fields in the deliberations below.
FIBONACCI SEQUENCE IN BINARY
We will digress for a moment and re visit the Fibonacci sequence; 1, 1, 2, 3, 5, 8, 13.... but this time in binary to reveal yet another relationship of the Fibonacci sequence and the numbers 3, 6 and 9. The string of binary code for the Fibonacci sequence is generated by a simple algorithm:
Start the sequence with a 10
Beside a 0 write a 1
Beside a 1 write a 10
The following is the binary code that this algorithm generates:
When the zero’s and ones are grouped into three’s four numbers 2, 3, 5 and 6 are revealed. These numbers are interrelated.
2 + 3 = 5 2 x 3 = 6
When each of the four numbers are given a different colour a fascinating nonrepeating weave like pattern is revealed, shown below.
010 = 2,
011 = 3,
101 = 5,
110 = 6
2 + 3 = 5 2 x 3 = 6
When each of the four numbers are given a different colour a fascinating nonrepeating weave like pattern is revealed, shown below.
010 = 2,
011 = 3,
101 = 5,
110 = 6
When the Fibonacci Numbers are overlaid over this sequence of binary numbers and the total number of zeros and ones are added up they ∑ to a 3, 6 or 9.
E.g. Up to and including 5 there 11 one’s and 7 zero’s 11 + 7 = 18 which ∑'s to 9. At 21 there 37 one and 23 zero’s which add to 60 which ∑'s to 6 and so on. Check this out below.
The table below below tracks and adds up the number of zero’s and ones up at each of Fibonacci Numbers at each of the boxes in the coloured binary code above. Also note the ratio of zero’s to ones is tending toward Phi 1.618033988.
Cosmogenesis mandala shows the hexagrams centered at the intersection of the lines. Instead of the numbers provided by King Wen for the hexagrams, the first 64 numeral, including zero, in the decimal system are used. In the video they become fully interrelated and devolve into.... you guessed it..... nine!! The mandala shown in blue and red reveal that the pairs of related hexagrams ∑ to 9.
Torus Energy Fields
The above mandala can also be considered as a dynamic electromagnetic energy field generated by rotation or spin of the mandala. The yin and yang lines within the mandala are representing the negative and positives within this energy field. Below are a series of images showing the progression from the mandala above into three representations of the torus energy field that it would generate.
The photographs below are of the cube (matrix) containing the 64 tetrahedron along with the center of the matrix which consists of a cuboctahedron showing the zero point as a silver ball. The matrix is the same as the one described by Nassim. In the photo it is shown with black and white edges and balls (or vertices), representing positive and negative energy points respectively and the energy vectors by the struts. The photos of the cuboctahedron and matrix therefore provides a more dynamic visualization of how the energy flow within the matrix. The photographs and the YouTube on "Rotation" above provides the direct link between the mandala above (with its energy field) to the Isotropic Vector Matrix which Nassim has discovered. Therefore the I Ching Mandala's energy field, generated by rotation or spin from a zero point, is the same as those Nassim describes in the YouTube, "The Isotropic Vector Matrix", that generates the 64 tetrahedron!!


The Cosmological Cycle
The Great I Ching Mandala along with the Isotropic Vector Matrix is therefore an eloquent mathematical description of the universe cycling from and returning to the zero point! So there was no Big Bang. The Big Bang is better understood as the phase of the cycle of the universe coming out of the zero point. This would mean the universe is both expanding from and contracting to a zero point at the same time!! The implications of this model is that the universe if it has cycled several times is a great deal older that we presently accept with the Big Bang theory or it may have always been here! This cycling nature of the universe reveals that there are in fact six interrelated tori within a hyperdodecahedron shaped universe cycling from a central zero point at the heart of the universe. This creates an intimate interplay of geometry and harmonic frequency, the music of the universe. As indicated by Einstein: 
"Everything is determined, the beginning as well as the end, by forces over which we have no control. It is determined for the insect, as well as for the star. Human beings, vegetables, or cosmic dust, we all dance to a mysterious tune, intoned in the distance by an invisible piper"
Check out the linked website below for an in depth understanding of how the cosmos really works and provides an alternative cosmological model to the Big Bang theory. This model is based on spherical standing wave harmonics that underlie the sigma mathematics being discussed on this website. Also compare the numbers we have being exploring with those along the coloured lines in in the harmonic numbers graph below. Consider how the numbers toward the right all start to sigma to 9. We have seen this same pattern earlier on.
Check out the linked website below for an in depth understanding of how the cosmos really works and provides an alternative cosmological model to the Big Bang theory. This model is based on spherical standing wave harmonics that underlie the sigma mathematics being discussed on this website. Also compare the numbers we have being exploring with those along the coloured lines in in the harmonic numbers graph below. Consider how the numbers toward the right all start to sigma to 9. We have seen this same pattern earlier on.
Interplay of Cosmic Geometry and Music
Below is a link to a YouTube on Sonic Geometry that summarizes the interplay of the cosmic geometry and music, this mysterious tune, frequency 432, that permeates the universe and its association with 9.
Below is a link to a YouTube on Sonic Geometry that summarizes the interplay of the cosmic geometry and music, this mysterious tune, frequency 432, that permeates the universe and its association with 9.
Check out why and how this intimate interplay of geometry and harmonic frequency expresses the very nature of the universe in the link on the New Cosmological Model above.