Math is the name given to the science of studying numbers, shapes, and space, and using systems, and symbols, to organize them. Math allows us to record facts of information about everything. There are two components that make up Math. These are ‘Numbers’, which quantify and measure, and ‘Symbols’ which dictate the action of the Number.
These two components also form the mathematical blueprints for the base structure of all forms of matter and energy consciousness in our known universe. But we have been deceived and it’s time to expose some very big math illusions.
The place is Pisa, Italy, the date is c.12th Century, and Fibonacci is our first player…
Leonardo Pisano Bigollo – Fibonacci
Seemingly picked up during his travels, Leonardo was attributed with introducing the West to the ‘Arabic Numerical System’. It was based on his research of Math in Commerce in relation to his family’s significant trading business and is all recorded in his book ‘Liver Arabic’.
The Arabic Numerical System replaced the Roman Numerical System which was still being used by many Europeans and the Arabic Numerical System was an important change. Many believe that it allowed a much broader scope of the application of Math and that in Europe, developments would otherwise have been far behind the rest of the world – or would they?
Roman Numerals 1,2 and 3, are represented by I, II, and III
Similarly Chinese numerals 1,2, and 3, are represented by 一, 二, and 三
This is significant. And the subsequent numbers represented by each system are also significant. They are organic.
The Fibonacci Sequence – A Riddle of Rabbits
‘If a pair of rabbits is placed in an enclosed area, how many rabbits will be born there, if we assume that every month a pair of rabbits produces another pair, and that those rabbits begin to bear young two months after their birth?’
Leonardo Pisano Bigollo posed the ‘Rabbits Riddle‘ not long after he returned from his travels in India and the Middle East. He was a young man in his early twenties and had returned to Italy where he had grown up. He became a significant influencer through his alternative application of Math during the Middle Ages, and his work still affects to this day.
The Rabbits Riddle was set by Leonardo as a way to illustrate a particular and very important sequence of numbers. Incorporating his nickname Fibonacci derived from “son of the Bonacci clan” the answer to the Rabbits Riddle is made up of the numbers that have become known as ‘The Fibonacci Sequence’:
A sequence of numbers that are made up of the number that is the sum of the previous two numbers in the sequence, and which starts with 0.
Using Fibonacci’s Rabbits Riddle, it goes something like this:
- End of month one – First pair of rabbits are too young to breed 0
- End month two – 1 pair of rabbits are born 1
- End of month three – 1 pair of rabbits are born 1 {the other rabbits are too young}
- End of month four – 2 pairs of rabbits are born 2 {the other rabbits are too young}
- End of month five – 3 pairs of rabbits are born 3 {the other rabbits are too young}
- End of month six – You get the idea…
Numerically, The Fibonacci Sequence is expressed as:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89…
But there’s much much more to it than we have realised.
Phi φ
The term “Phi” was coined by American mathematician Mark Barr in the 1900s. Phi has continued to appear in mathematics and physics including the 1970s Penrose Tiles which allowed surfaces to be tiled in five-fold symmetry. In the 1980s Phi appeared in quasi crystals, a then-newly discovered form of matter.
Phi is also used as a symbol for the Golden Ratio and on other occasions in math and science. This use is separately encoded as the Unicode glyph ϕ.
Calculus – Approximation or Limit Value
The Fibonacci Sequence provides yet another way to derive Phi mathematically.
Phi is expressed numerically as:
1.618033988749894848204586834…
Any two successive numbers in the Fibonacci Sequence result in a ratio close to the Golden Ratio. This is called the ‘Approximation’ or ‘Limit Value’ in the branch of Math known as Calculus.
Phi is really a whole, but we’re not there yet.
SPIRALS – Look closely
The Fibonacci Based Spiral
Expressed visually by the shapes and path the numbers create the Fibonacci based spiral and image is familiar to many. In the image above right, each of the larger coloured squares created represents a number in The Fibonacci Sequence and is based on the sum of the two previous numbers. So, the Length of a Line in a square of 5, plus the Length of a Line in a square of 8, equals the Length of the Line of their sum, in a square of 13, and so on.
The Fibonacci based Spiral gets closer and closer to a Golden Spiral as it increases in size. This is because of the ratio of each number in the Fibonacci series in relation to the one before it and as it converges on Phi; 1.618… Beginning with Zero, then 1, it then moves on to the next number: 0+1=1, 1+1=2, 2+1=3, 3+2=5, 5+3=8, and so on.
The Golden Ratio
The Golden Ratio is also sometimes referred to as ‘The Golden Mean’ or ‘The Golden Section’.
In mathematics, two numerical values are said to demonstrate the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities:
The Golden Ratio is found in geometry, appearing in basic constructions of an equilateral triangle, a square, and a pentagon, all of which fit inside a circle, as well as in more complex three-dimensional solids such as dodecahedrons, icosahedrons, and Bucky-balls.
Spirals – The Golden Illusion
Examples of the Golden Ratio, Fibonacci Based Spirals, and the Golden Spiral, can be found all around us in the environment, science, art, architecture, and well everything. But the Golden Ratio based spiral, and the Fibonacci based spiral are not the same thing, not at all. Not all things in Nature are Natural. It’s why not all creations display the math of the Golden Ratio. The Golden Ratio referred to by Leonardo da Vinci as the Divine Proportion, is called Golden and Divine for good reason.
- Flower Petals – Number of petals on some flowers follows the Fibonacci sequence
- Seed Heads – Seeds of a flower can often be found at the centre of the flower head and seen to migrate outward filling in the remaining space like sunflowers
- Pinecones – Spiral pattern of pinecones spiral upwards in opposite directions with the number of steps the spirals taking usually matching the numbers in the Fibonacci sequence
- Tree branches – Some tree branches form or split in another example of the Fibonacci sequence with their root systems also following this formation pattern
- Shells – Shells like snail shells and nautilus shells are perfect examples of the Golden Spiral
- Spiral Galaxies – Spiral galaxies like the Milky Way have a number of spiral arms each of which has a logarithmic spiral of roughly 12 degrees exhibiting the Golden Spiral pattern
- Hurricanes – Most hurricanes reflect the Golden Spiral pattern
- Human Body – Such as the measurement from the human belly button to the floor in relation to the top of the head to the bellybutton follows the Golden Ratio
- Animals – Dolphins, starfish, sand dollars, sea urchins, ants, and honeybees, also exhibit Golden Ration proportions
- DNA Molecules – DNA molecule measure 34 angstroms by 21 angstroms at each full cycle of the double helix spiral
Leonardo Da Vinci
In 1509 Luca Pacioli wrote a book that refers to the “Divine Proportion”. It was illustrated by Leonardo da Vinci himself and Da Vinci later called these mathematical proportions the ‘Sectio Aurea’ or the ‘Golden Section’.
The Vitruvian Man drawing by Leonardo da Vinci around 1490, is sometimes called the ‘Canon of Proportions’ or less often, ‘Proportions of Man’. Accompanied by notes from the work of the Roman architect Vitruvius in book 111 of his treatise ‘De Architecture’, the drawing is based on the correlations of ‘ideal human proportions’ using the geometry described by Vitruvius and which followed the Golden Ratio system.
Leonardo Da Vinci also used The Golden Ratio to define all of the proportions in his work ‘The Last Supper’, including the dimensions of the table and the proportions of the walls and backgrounds. However much of the detail is lost to damage, and in particular the area around the feet of the depiction of the man known as Jesus where it is said a doorway was cut through his wall painting, by accident {?} His wall painting was completed on 9 February 1498, alas less than six years later and according to Giorgio Vasari, it had deteriorated to an almost undistinguishable “muddle of blots”.
The Golden Ratio also appears in the ‘Mona Lisa’ painting by Leonardo Da Vinci. Indeed, The Golden Ratio was used in many other Renaissance paintings and sculptures including those by Michelangelo, Raphael, Rembrandt, Seurat, and Salvador Dali.
Whilst there is talk about pictures behind the pictures there is surely more information and meaning hidden in his works that we can expect to reveal much deeper truths in this lifetime, in relation to humanities past,
A Golden Spiral – and Imitation Limitation
In geometry, a True Golden Spiral is a logarithmic spiral whose growth factor is φ, The Golden Ratio. A True Golden Spiral gets wider or further from its origin, by a factor of φ for every quarter turn it makes.
There are several similar spirals that approximate, but do not exactly equal, a golden spiral. These are often confused with the True Golden Spiral.
For example, a Golden Spiral can be approximated by first starting with a rectangle where the ratio between its length and width is The Golden Ratio. This rectangle can then be split into a square and a similar rectangle and that rectangle can then be split in the same way. After continuing this in a sequential number of steps, the result will be an almost complete splitting of the rectangle into squares. The corners of these squares can be connected by quarter-circles. The result, though not a true logarithmic spiral, approximates a Golden Spiral.
The Fibonacci Based Spirals
Another approximation is a Fibonacci Spiral, but it starts with a rectangle split into two squares and then with each following step, added to the rectangle’s longest side – a square of the same length. Because the ratio between consecutive Fibonacci numbers approaches The Golden Ratio as the Fibonacci numbers approach infinity, so too does this spiral get more similar to the previous approximation the more that the sequential squares are added.
However, when the Fibonacci mathematical formula is applied to quantify or measure the movement of Energy or Consciousness within time or space, the Fibonacci Spiral loses its connection of going back to the Zero Point or Source. Instead, the sequence uses the previous number to add into itself to get to the next higher number of the sequence. It has no centre connection, so it attaches to another and consumes what is in its path to expand.
Consumptive Modelling and Consciousness Suppression
The Fibonacci based spiral structure is based on Consumptive Modelling. To be clear, the Fibonacci Based Spirals are a deviation from the true intention and organic purpose of a Golden Spiral.
When the purpose and function of the instruction sets within geometric shapes is understood. so too is the understanding of the purpose and function of the Fibonacci based spirals. The Fibonacci based Spirals and the instruction coding within the geometric shape create Metratronic Bodies through Reversed Merkaba Ratios, like those in the reversed dodecahedrons.
From a metaphysics reality, and undeniably literal, this has major implications for generating Fallen Consciousness. It leads to consciousness traps, and disconnection from higher dimensional connections including Source energy consciousness. In short, they are used in the creation of false realities.
Fibonacci-based spirals illustrate the math used to perpetuate the war over energy and consciousness suppression on planet earth. This is realized in math because when the sequence grows in number or size, it is due to the consumption of the previous values to grow itself larger. The larger it gets, the more it consumes, progressively moving out and away from the organic Krystal Spiral of the original source manifestation template body as it expands. It is used in the propagation of artificial intelligence machinery, where these spirals are acquired through forming bonded attachments to the original and natural Krystal Spiral.
In short, the Fibonacci math-based spiral is a Metatronic Reversal architecture recorded in the consciousness fields that essentially attach like a parasite to a living host, collecting waste products, such as accumulating toxic Miasma fields. This static energy field block forms corresponding conscious energy distortions in the Phantom Matrix that most of humanity exists in, and which was designed to infect the Universal Tree of Life. This is serious and hugely significant.
The Krystal Spiral v Fibonacci Spiral
The main difference between the true organic Krystal Spiral and the Fibonacci Spirals and Sequences can be understood in terms of their respective relationships to their creation point. The Krystal Spiral and the mathematical sequence from which it emerges comes directly from the Zero Point or central point of all union. The Krystal Spiral perpetually retains a living breathing connection through the preservation of what came before, as it expands through true Multiplication, not false Consumption.
Nikola Tesla produced stellar work on this subject. He knew all about these illusions. This is why he was ridiculed and persecuted and why his work was stolen, used elsewhere, and kept hidden from us for so long. So, before we go deeper into the Krystal Matrix, and the Universal Time Matrix, in the next blog we look at Sacred Geometry and more of the sacred knowledge pulled by Math Magician Nikola Tesla.
See Also:
The Black And White Cow 