Fibonacci Quotes

The Fibonacci Sequence turns out to be the key to understanding how nature designs... and is... a part of the same ubiquitous music of the spheres that builds harmony into atoms, molecules, crystals, shells, suns and galaxies and makes the Universe sing.

When I sing, it sounds like I’m gargling spaghetti. Is it any wonder that women lust after me and mail me their panties? (Mail to: Jarod Kintz/12358 Fibonacci Way/Jacksonville, Fl 32258)


Pick up a pinecone and count the spiral rows of scales. You may find eight spirals winding up to the left and 13 spirals winding up to the right, or 13 left and 21 right spirals, or other pairs of numbers. The striking fact is that these pairs of numbers are adjacent numbers in the famous Fibonacci series: 1, 1, 2, 3, 5, 8, 13, 21... Here, each term is the sum of the previous two terms. The phenomenon is well known and called phyllotaxis. Many are the efforts of biologists to understand why pinecones, sunflowers, and many other plants exhibit this remarkable pattern. Organisms do the strangest things, but all these odd things need not reflect selection or historical accident. Some of the best efforts to understand phyllotaxis appeal to a form of self-organization. Paul Green, at Stanford, has argued persuasively that the Fibonacci series is just what one would expects as the simplest self-repeating pattern that can be generated by the particular growth processes in the growing tips of the tissues that form sunflowers, pinecones, and so forth. Like a snowflake and its sixfold symmetry, the pinecone and its phyllotaxis may be part of order for free

Buckminster Fuller explained to me once that because our world is constructed from geometric relations like the Golden Ratio or the Fibonacci Series, by thinking about geometry all the time, you could organize and harmonize your life with the structure of the world.

If by chance I have omitted anything more or less proper or necessary, I beg forgiveness, since there is no one who is without fault and circumspect in all matters.

Just as it was not necessary for Beethoven to know the science of the physical manufacture of the instruments in his orchestra in order for him to compose, it is not necessary for you to understand vortex based mathematics, fractal field theory, dodecahedrons, geometric solids, calculus, Fibonacci series, centripetal force, and quantum physics in order to become enlightened.

probably heard that math is the language of science, or the language of Nature is mathematics. Well, it’s true. The more we understand the universe, the more we discover its mathematical connections. Flowers have spirals that line up with a special sequence of numbers (called Fibonacci numbers) that you can understand and generate yourself. Seashells form in perfect mathematical curves (logarithmic spirals) that come from a chemical balance. Star clusters tug on

Note: Some strategies that will be mentioned here are a bit advanced. However, just knowing them can help you form the basis of your research in making money through forex trading. *The Daily Fibonacci Pivot Strategy *Overlapping Fibonacci trade *The Forex Dual Stochastic trade *The Blade Runner Trading *Pop ‘n’ Stop trades *The blade runner reversal *Relative Strength Index Strategy (RS *The Williams Percent Range Indicator Strategy (Williams %R) *The Moving Average Convergence Divergence Strategy (MACD) *The Turtle Trading Strategy *The Crossover of Moving Averages Strategy *The Moving Averages Strategy

Christianity initially rejected zero, but trade would soon demand it. The man who reintroduced zero to the West was Leonardo of Pisa. The son of an Italian trader, he traveled to northern Africa. There the young man-better known as Fibonacci-learned Mathematics from the Muslims and soon became a good mathematician in his own right.

In chapter 10, he explained how to use similar methods to manage investments and profits of companies and their members, and showed how to decide who should be paid what.

Highly complex numbers like the Comma of Pythagoras, Pi and Phi (sometimes called the Golden Proportion), are known as irrational numbers. They lie deep in the structure of the physical universe, and were seen by the Egyptians as the principles controlling creation, the principles by which matter is precipitated from the cosmic mind. Today scientists recognize the Comma of Pythagoras, Pi and the Golden Proportion as well as the closely related Fibonacci sequence are universal constants that describe complex patterns in astronomy, music and physics. ... To the Egyptians these numbers were also the secret harmonies of the cosmos and they incorporated them as rhythms and proportions in the construction of their pyramids and temples.

The earliest known work in Arabic arithmetic was written by al-Khowârizmî, a mathematician who lived around 825, some four hundred years before Fibonacci.11 Although few beneficiaries of his work are likely to have heard of him, most of us know of him indirectly. Try saying “al-Khowârizmî” fast. That’s where we get the word “algorithm,” which means rules for computing.12 It was al-Khowârizmî who was the first mathematician to establish rules for adding, subtracting, multiplying, and dividing with the new Hindu numerals. In another treatise, Hisâb al-jabr w’ almuqâbalah, or “Science of transposition and cancellation,” he specifies the process for manipulating algebraic equations. The word al-jabr thus gives us our word algebra, the science of equations.13

European scholars had translated into Latin two important Arabic manuscripts, written by the ninth-century Persian mathematician Abū ‘Abdallāh Muammad ibn Mūsā al-Khwārizmī (ca. 780–ca. 850 CE).

Technical speaking one is a beautiful number. One is its own factorial, its own square, its own cube. It is neither a prime number nor a composite number. It is the first two numbers of the Fibonacci sequence. It is the empty product. Any number raised to the zero power is one. It might be argued that one is the most independent number known to man. It can do things no other number is capable of.

lovelight' and 'lightlove' are geometric codes. The phrase 'love and light' creates a geometric code that fires directly into the matrix field creating an instant clearing or upgrade. Lovelight and lightlove are very high geometric frequencies linking into the golden frequency, that which is known as the 'golden mean' or 'golden equation', also known as 'the Fibonacci sequence'. It is the mathematical equation of creation itself.

A significant difference between Pacioli’s book and Treviso Arithmetic is that Pacioli dealt with negative numbers. The concept of negative numbers was new in Europe, and Pacioli is believed to have provided the first printed explanation.

Albert Einstein: The most beautiful thing we can experience is the mysterious. It is the source of all true art and all science. He to whom this emotion is a stranger, who can no longer pause to wonder and stand rapt in awe, is as good as dead: his eyes are closed... Elegantly

Petrie found nothing that disproved the pyramidologist's assumption that the Great Pyramid had been built according to a master plan. Indeed, he describes the Pyramid's architecture as being filled with extraordinary mathematical harmonies and concordances: those same strange symmetries that had so haunted the pyramidologist. Petrie not only noted, for example, that the proportions of the reconstructed pyramid approximated to pi - which others have since elaborated to include those twin delights of Renaissance and pyramidological mathematicians, the Golden Section and the Fibonacci Series ...

When he was about fourteen years of age, Leonardo would have left the fondaco and most likely traveled with an older merchant, a form of apprenticeship system common in those days. Around that time his father summoned him to Bugia. No one knows exactly when he made this voyage. In the introduction to Liber abbaci, he later wrote: “When my father, who had been appointed by his country as public notary in the customs at Bugia acting for the Pisan merchants going there, was in charge, he summoned me to him while I was still a child, and having an eye to usefulness and future convenience, desired me to stay there and receive instruction in the school of accounting.

Underlying all this activity—in the customhouses, on the wharves, in every place of business—were numbers. Merchants measured out their wares and negotiated prices; customs officers calculated taxes to be levied on imports; scribes and stewards prepared ships’ manifests, recording the values in long columns using Roman numerals. They would have put their writing implements to one side and used either their fingers or a physical abacus to perform the additions, then picked up pen and parchment once again to enter the subtotals from each page on a final page at the end. With no record of the computation itself, if anyone questioned the answer, the entire process would have to be repeated.

There was no escaping math, after all. It was everywhere, especially in nature. You could go as far to say that math was nature. Pi describe the arc of a rainbow, the way ripples spread in a body of water, the dimensions of the moon and sun. Fractals could be observed in halved sections of red cabbage, the topography of deserts, the branching of lightning bolts. And take the old man glaring out from his shirt, Leonardo Fibonacci, who discovered that a basic number sequence predicted the arrangement of scales on a pinecone, the distribution of petals on flowers, the spiral of a snail shell, the furcation of veins in the human body, even the structure of DNA. When all the people were gone, the numbers would persist.

Having described the basic methods of Hindu-Arabic arithmetic in the first seven chapters, Leonardo devoted most of the remainder of the book to practical problems. Chapters 8 and 9 provide dozens of worked examples on buying, selling, and pricing merchandise, using what we would today call reasoning by proportions—the math we use to check the best deal in the supermarket.

The conclusion that the Egyptians of the Old Kingdom were acquainted with both the Fibonacci series and the Golden Section, says Stecchini, is so startling in relation to current assumptions about the level of Egyptian mathematics that it could hardly have been accepted on the basis of Herodotus' statement alone, or on the fact that the phi [golden] proportion happens to be incorporated in the Great Pyramid. But the many measurements made by Professor Jean Philippe Lauer, says Stecchini, definitely prove the occurrence of the Golden Section throughout the architecture of the Old Kingdom.... Schwaller de Lubicz also found graphic evidence that the pharonic Egyptians had worked out a direct relation between pi and phi in that pi = phi^2 x 6/5.

The number system we use today—the Hindu-Arabic system—was developed in India and seems to have been completed by around 700 CE. Indian mathematicians made advances in what would today be described as arithmetic, algebra, and geometry, much of their work being motivated by an interest in astronomy. The system is based on three key ideas: notations for the numerals, place value, and zero.

The choice of ten basic number symbols—that is, the Hindus’ choice of the base 10 for counting and doing arithmetic—is presumably a direct consequence of using fingers to count. When we reach ten on our fingers we have to find some way of starting again, while retaining the calculation already made. The role played by finger counting in the development of early number systems would explain why we use the word “digit” for the basic numerals, deriving from the Latin word digitus for finger.

By the latter part of the first millennium of the Current Era, the system we use today to write numbers and do arithmetic had been worked out—expressing any number using just the ten numerals 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and adding, subtracting, multiplying, and dividing them by the procedures we are all taught in elementary school. (Units column, tens column, hundreds column, carries, etc.) This familiar way to write numbers and do arithmetic is known today as the Hindu-Arabic system, a name that reflects its history.

To claim that mathematics is purely a human invention and is successful in explaining nature only because of evolution and natural selection ignores some important facts in the nature of mathematics and in the history of theoretical models of the universe. First, while the mathematical rules (e.g., the axioms of geometry or of set theory) are indeed creations of the human mind, once those rules are specified, we lose our freedom. The definition of the Golden Ratio emerged originally from the axioms of Euclidean geometry; the definition of the Fibonacci sequence from the axioms of the theory of numbers. Yet the fact that the ratio of successive Fibonacci numbers converges to the Golden Ratio was imposed on us-humans had not choice in the matter. Therefore, mathematical objects, albeit imaginary, do have real properties. Second, the explanation of the unreasonable power of mathematics cannot be based entirely on evolution in the restricted sense. For example, when Newton proposed his theory of gravitation, the data that he was trying to explain were at best accurate to three significant figures. Yet his mathematical model for the force between any two masses in the universe achieved the incredible precision of better than one part in a million. Hence, that particular model was not forced on Newton by existing measurements of the motions of planets, nor did Newton force a natural phenomenon into a preexisting mathematical pattern. Furthermore, natural selection in the common interpretation of that concept does not quite apply either, because it was not the case that five competing theories were proposed, of which one eventually won. Rather, Newton's was the only game in town!

Leonardo Pisano, aka Fibonacci: Fibonacci was a 13th-century Italian mathematician who invented the Fibonacci series, which goes like this: 1, 1, 2, 3, 5, 8, 13, 21, etc. Each of the numbers is the sum of the two preceding numbers. I look at the sequence again. I know I recognize it from somewhere. It takes me a couple of seconds, but then it clicks: Boggle! It's the scoring system for my favorite find-a-word game, Boggle.

It is shown that the golden ratio plays a prominent role in the dimensions of all objects which exhibit five-fold symmetry. It is also showed that among the irrational numbers, the golden ratio is the most irrational and, as a result, has unique applications in number theory, search algorithms, the minimization of functions, network theory, the atomic structure of certain materials and the growth of biological organisms.

RESUMEN El mapa no es el terreno. No te enamores de tu plan. Casi seguro es erróneo. Planea sólo lo que necesitas. No intentes proyectar todo con años de anticipación. Planea apenas lo suficiente para mantener ocupados a tus equipos. ¿Qué tipo de perro es esto? No evalúes en términos absolutos, como horas; está demostrado que los seres humanos somos pésimos para eso. Evalúa las cosas relativamente: a qué raza de perro o tamaño de camiseta (CH, M, G, EG, EEG) corresponde el problema, o emplea la secuencia de Fibonacci, de uso más común. Consulta el oráculo. Usa una técnica ciega como el método de Delfos para evitar sesgos de condicionamiento como el efecto halo o tren, o el mero pensamiento grupal. Planea con póker. Usa el póker de planeación para evaluar rápidamente el trabajo por hacer. El trabajo es una historia. Piensa primero en quién recibirá valor de algo; luego, en qué es esto, y después en por qué lo necesita. Los humanos pensamos

When a market is moving strongly in one direction, we often do not see enough support behind the countermove. In other words, although the dominant side is losing steam, the counter side is not strong enough to make a considerable correction. The trend is, therefore, highly likely to continue in its underlying direction.

However, when value is recognised as objective, individual preference (though it need not be utterly eradicated) is relativised, one’s private perspective is shown to be relative to the real value of beautiful things, and therefore one’s appreciation of beauty can be more or less intelligent, more or less attuned to the structures that inhere in nature and that can even sometimes be mathematically discerned (revealing the presence of such measurables as Pi, the Golden Ratio, and the Fibonacci Sequence).

Fibonacci’s new numbering system became a hit with the merchant class and for centuries was the preeminent source for mathematical knowledge in Europe. But something equally important also happened around this time: Europeans learned of double-entry bookkeeping, picking it up from the Arabians, who’d been using it since the seventh century. Merchants in Florence and other Italian cities began applying these new accounting measures to their daily businesses. Where Fibonacci gave them new measurement methods for business, double-entry accounting gave them a way to record it all. Then came a seminal moment: in 1494, two years after Christopher Columbus first set foot in the Americas, a Franciscan friar named Luca Pacioli wrote the first comprehensive manual for using this accounting system. Pacioli’s Summa de arithmetica, geometria, proportioni et proportionalita, written in Italian rather than Latin so as to be more accessible to the public, would become the first popular work on math and accounting. Its section on accounting was so well received that the publisher eventually published it as its own volume. Pacioli offered access to the precision of mathematics. “Without double entry, businessmen would not sleep easily at night,” Pacioli wrote, mixing in the practical with the technical—Pacioli’s Summa would become a kind of self-help book for the merchant class.

The recurring mathematics of the natural world. The Fibonacci spirals found in whirlpools and pinecones and created by humpback whale in Antarctica to capture prey. Our blood vessels patterned like fork lightening and the twisting branches of trees. The fabric of the cosmos is woven with fractals and so are we.

the Fibonacci sequence starts with the number one, then the number one again. Add those numbers together to get two. Then add one and two together to get three. Two and three make five. Three and five make eight. And the series continues like that, adding the two previous numbers to get the following number.

Dietary research reveals that many people go off their nutritional diets on or about day 13—a Fibonacci number. Yet if they can pass critical day 13 and make it through to day 21, they usually will succeed in losing weight and establishing the new habit pattern that allowed them to lose the weight.

Personal measurements provide an opportunity to be wildly creative. If you’re doing a spell for mental clarity, find a way to incorporate your head measurement. If your spellwork is aimed at expressing your feelings more clearly, try incorporating the distance from your heart to your mouth. Talismans, charms, garments, and tools: When we personalize these items, we imbue them with powerful ties to our own imaginations, associations, bodies, and beliefs.

• Little fingers, little Moon (think of that tiny “fingernail clipping” shape). • Thumb joints, Full Moon—either almost, exactly, or just past. • Widdershins means right to left, moon-wise, opposite the Sun’s motion, so: • Right-hand backward-C-shape, the Moon is waxing, growing larger. • Left-hand C-shape, the Moon is waning, shrinking in size.

• Widdershins means right to left, moon-wise, opposite the Sun’s motion, so: • Right-hand backward-C-shape, the Moon is waxing, growing larger. • Left-hand C-shape, the Moon is waning, shrinking in size.

context. Take 5 heel-to-toe steps in each of the four directions from a center point. From one “corner” to the next will be 7 heel-to-toe steps, and when you connect those four corners with straight lines, the resulting square will measure 28 footsteps around the edges.1 (See Figure 3-1.) Whether used as a square or curved outward into a circle, 28 reminds us of the Moon phases, a worthy underpinning to any magical space.

Two writings of al-Hassār have survived. The first, entitled Kitāb al-bayān wa t-tadhkār [Book of proof and recall] is a handbook of calculation treating numeration, arithmetical operations on whole numbers and on fractions, extraction of the exact or approximate square root of a whole of fractionary number and summation of progressions of whole numbers (natural, even or odd), and of their squares and cubes. Despite its classical content in relation to the Arab mathematical tradition, this book occupies a certain important place in the history of mathematics in North Africa for three reasons: in the first place, and notwithstanding the development of research, this manual remains the most ancient work of calculation representing simultaneously the tradition of the Maghrib and that of Muslim Spain. In the second place, this book is the first wherein one has found a symbolic writing of fractions, which utilises the horizontal bar and the dust ciphers i.e. the ancestors of the digits that we use today (and which are, for certain among them, almost identical to ours) [Woepcke 1858-59: 264-75; Zoubeidi 1996]. It seems as a matter of fact that the utilisation of the fraction bar was very quickly generalised in the mathematical teaching in the Maghrib, which could explain that Fibonacci (d. after 1240) had used in his Liber Abbaci, without making any particular remark about it [Djebbar 1980 : 97-99; Vogel 1970-80]. Thirdly, this handbook is the only Maghribian work of calculation known to have circulated in the scientific foyers of south Europe, as Moses Ibn Tibbon realised, in 1271, a Hebrew translation. [Mathematics in the Medieval Maghrib: General Survey on Mathematical Activities in North Africa]

Someday Tatiana must tell Alexander how glad she is that her sister Dasha did not die without once feeling what it was like to love. Alexander. Here he is, before he was Tatiana’s, at the age of twenty, getting his medal of valor for bringing back Yuri Stepanov during the 1940 Winter War. Alexander is in his dress Soviet uniform, snug against his body, his stance at-ease and his hand up to his temple in teasing salute. There is a gleaming smile on his face, his eyes are carefree, his whole man-self full of breathtaking, aching youth. And yet, the war was on, and his men had already died and frozen and starved... and his mother and father were gone... and he was far away from home, and getting farther and farther, and every day was his last—one way or another, every day was his last. And yet, he smiles, he shines, he is happy. Anthony is gone so long that his daughters say something must have happened to him. But then he appears. Like his father, he has learned well the poker face and outwardly remains imperturbable. Just as a man should be, thinks Tatiana. A man doesn’t get to be on the President’s National Security Council without steeling himself to some of life’s little adversities. A man doesn’t go through what Anthony went through without steeling himself to some of life’s little adversities. In this hand Anthony carries two faded photographs, flattened by the pages of the book, grayed by the passing years. The kitchen falls quiet, even Rachel and Rebecca are breathless in anticipation. “Let’s see...” they murmur, gingerly picking up the fragile, sepia pictures with their long fingers. Tatiana is far away from them. “Do you want to see them with us, Grammy? Grandpa?” “We know them well,” Tatiana says, her voice catching on something. “You kids go ahead.” The grandchildren, the daughter, the son, the guests circle their heads, gaping. “Washington, look! Just look at them! What did we tell you?” Shura and Tania, 23 and 18, just married. In full bloom, on the steps of the church near Lazarevo, he in his Red Army dress uniform, she in her white dress with red roses, roses that are black in the monochrome photo. She is standing next to him, holding his arm. He is looking into the camera, a wide grin on his face. She is gazing up at him, her small body pressed into him, her light hair at her shoulders, her arms bare, her mouth slightly parted. “Grammy!” Rebecca exclaims. “I’m positively blushing. Look at the way you’re coming the spoon on Grandpa!” She turns to Alexander from the island. “Grandpa, did you catch the way she is looking at you?” “Once or twice,” replies Alexander. The other colorless photo. Tania and Shura, 18 and 23. He lifts her in the air, his arms wrapped around her body, her arms wrapped around his neck, their fresh faces tilted, their enraptured lips in a breathless open kiss. Her feet are off the ground. “Wow, Grammy,” murmurs Rebecca. “Wow, Grandpa.” Tatiana is busily wiping the granite island. “You want to know what my Washington said about you two?” Rebecca says, not looking away from the photograph. “He called you an adjacent Fibonacci pair!” She giggles. “Isn’t that sexy?” Tatiana shakes her head, despite herself glancing at Washington with reluctant affection. “Just what we need, another math expert. I don’t know what you all think math will give you.” And Janie comes over to her father who is sitting at the kitchen table, holding her baby son, bends over Alexander, leans over him, kisses him, her arm around him, and murmurs into his ear, “Daddy, I’ve figured out what I’m going to call my baby. It’s so simple.” “Fibonacci?” She laughs. “Why, Shannon, of course. Shannon.” The

Nowadays he is best remembered for the Fibonacci sequence of numbers (0, 1, 1, 2, 3, 5, 8, 13, 21 . . .), in which each successive number is the sum of the previous two, and the ratio between a number and its immediate antecedent tends towards a ‘golden mean’ (around 1.618). It

in computation there are two phases: generating data and transforming data. This function is very clearly performing a transformation on data, while the fibonacci function generates it. This clear demarcation adds extra clarity and extra functionality: we can move a transformative function to work on a new set of data, or perform multiple transformations on existing data. This paradigm has always been important when creating complex programs; however, generators facilitate this clearly by making generators responsible for creating the data, and normal functions responsible for acting on the generated data.

The Fibonacci sequence was clearly evident throughout nature. Some of the best examples of it were the spiral arrangement of the seeds in a sunflower or the nautilus shell. David wrote out the Fibonacci sequence. Each number added to the one proceeding it.   1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89   There it was again, David thought—the numbers seven and thirteen. Thirteen was the seventh number in the sequence.

The first seven digits of pi reversed give you 295 14 13 The first occurrence of 7 is in the 13th decimal place The second occurrence of 7 is at the 29th decimal place and it sits between 2-7-9 The third occurrence of 7 is at the 39th decimal place (3 x 13) The first occurrence of 13 is in the 29th (10 block of pi) The sum of the first 13 decimal digits is 65 or (5 x 13) The sum of the first 26 decimal digits is 126 or (3 x 6 x 7) The sum of the first 39 decimal digits is 191 or 43rd prime. 43 is the 14th prime. First occurrence of 295 or 2953 is at the 113th – (10 block of pi) The sum of 1 to 13 is 91 (7 x 13) 13 is the 7th number in a Fibonacci sequence 33 is the sum of the Fibonacci sequence to 13

233 is the 13th number in a Fibonacci sequence (233 = 3 x 17) (17 is the 7th prime) 377 is the 14th number in a Fibonacci sequence (377 = 13 x 29) 609 is the sum of a Fibonacci sequence up to the 13th iteration (609 = 3 x 7 x 29) 986 is the sum of a Fibonacci sequence up to the 14th iteration (986 = 2 x 17 x 29) (17 is the 7th prime) 13 is the 6th prime number 41 is the 13th prime number (If 1 was considered a prime number, 13 would be the 7th prime and 41 would be the 14th prime.) 43 is the 14th prime number The sum of all prime numbers to 13 is 41, or 42 if 1 was still included (42 = 6 x 7) The sum of primes to 29 is 129 (129 = 3 x 43) 43=14th prime, or 130 if 1 was still included (130 = 13 x 10) The sum of primes up to 41 is 238 (238 = 2 x 7 x 17), or 239 if 1 was still included (239 = 52nd prime, 52 = 4 x 13)

every Thelicosan emperor is given the name of a famous mathematician, such as Euclid, Fibonacci, or Kim Jong Un.

A fly and a flea in a flue (3 beats) Were imprisoned, so what could they do? (3 beats) Said the fly, "Let us flee!" (2 beats) "Let us fly!" said the flea, (2 beats) So they fled through a flaw in the flue. (3 beats)

Quality genius Dr. W. Edwards Deming observed that the most important things often cannot be measured, e.g., love or beauty.

The Sphere This picture by Leonardo Da Vinci “The Canon” showing the proportions of a human being. If you have some knowledge of Sacred Geometry and the Merkaba, you will soon realize that this was also the knowledge of Leonardo Da Vinci. In this drawing he shows essential parts of the Sacred Geometry, the Golden Mean, Fibonacci and the Merkaba field.

When all the stars are rotating in the correct way we will make them rotate according to the Fibonacci numbers. It will happen when we call out the correct number. When the stars are rotating according to this sequence (34/21), a disc will be created starting from your root chakra and expanding outwards – about 17 meters (55 ft). The 17th Breath Here we aim to find the correct total speed of the whole of your Merkaba (9/10 part of the speed of light). Now you have an overview of the last breaths. You will find the correct instruction on the next page. As previously, I am attaching a summary instruction, this time with all the 17 breaths of the Merkaba.

You got my heart beating in Fibonacci sequence. ♡ φ

All events follow the Fibonacci Sequence, like the Mandelbrot Set. I went on to discover the relationship between ‘chance’ and the Fibonacci Sequence.

The story of numbers in the West begins in 1202, when the cathedral of Chartres was nearing completion and King John was finishing his third year on the throne of England. In that year, a book titled Liber Abaci, or Book of the Abacus, appeared in Italy. The fifteen chapters of the book were entirely handwritten; almost three hundred years would pass before the invention of printing. The author, Leonardo Pisano, was only 27 years old but a very lucky man: his book would receive the endorsement of the Holy Roman Emperor, Frederick II. No author could have done much better than that.1 Leonardo Pisano was known for most of his life as Fibonacci, the name by which he is known today. His father’s first name was Bonacio, and Fibonacci is a contraction of son-of-Bonacio. Bonacio means “simpleton” and Fibonacci means “blockhead.” Bonacio must have been something less than-a simpleton, however, for he represented Pisa as consul in a number of different cities, and his son Leonardo was certainly no blockhead.

Ingenious and original as Fibonacci’s exercises were, if the book had dealt only with theory it would probably not have attracted much attention beyond a small circle of mathematical cognoscenti. It commanded an enthusiastic following, however, because Fibonacci filled it with practical applications. For example, he described and illustrated many innovations that the new numbers made possible in commercial bookkeeping, such as figuring profit margins, money-changing, conversions of weights and measures, and—though usury was still prohibited in many places—he even included calculations of interest payments. Liber Abaci provided just the kind of stimulation that a man as brilliant and creative as the Emperor Frederick would be sure to enjoy. Though Frederick, who ruled from 1211 to 1250, exhibited cruelty and an obsession with earthly power, he was genuinely interested in science, the arts, and the philosophy of government. In Sicily, he destroyed all the private garrisons and feudal castles, taxed the clergy, and banned them from civil office. He also set up an expert bureaucracy, abolished internal tolls, removed all regulations inhibiting imports, and shut down the state monopolies. Frederick tolerated no rivals. Unlike his grandfather, Frederick Barbarossa, who was humbled by the Pope at the Battle of Legnano in 1176, this Frederick reveled in his endless battles with the papacy. His intransigence brought him not just one excommunication, but two. On the second occasion, Pope Gregory IX called for Frederick to be deposed, characterizing him as a heretic, rake, and anti-Christ. Frederick responded with a savage attack on papal territory; meanwhile his fleet captured a large delegation of prelates on their way to Rome to join the synod that had been called to remove him from power.

Fibonacci is best known for a short passage in Liber Abaci that led to something of a mathematical miracle. The passage concerns the problem of how many rabbits will be born in the course of a year from an original pair of rabbits, assuming that every month each pair produces another pair and that rabbits begin to breed when they are two months old. Fibonacci discovered that the original pair of rabbits would have spawned a total of 233 pairs of offspring in the course of a year. He discovered something else, much more interesting. He had assumed that the original pair would not breed until the second month and then would produce another pair every month. By the fourth month, their first two offspring would begin breeding. After the process got started, the total number of pairs of rabbits at the end of each month would be as follows: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233. Each successive number is-the sum of the two preceding numbers. If the rabbits kept going for a hundred months, the total number pairs would be 354,224,848,179,261,915,075. The Fibonacci series is a lot more than a source of amusement. Divide any of the Fibonacci numbers by the next higher number. After 3, the answer is always 0.625. After 89, the answer is always 0.618; after higher numbers, more decimal places can be filled in.a Divide any number by its preceding number. After 2, the answer is always 1.6. After 144, the answer is always 1.618. The Greeks knew this proportion and called it “the golden mean.” The golden mean defines the proportions of the Parthenon, the shape of playing cards and credit cards, and the proportions of the General Assembly Building at the United Nations in New York. The horizontal member of most Christian crosses separates the vertical member by just about the same ratio: the length above the crosspiece is 61.8% of the length below it. The golden mean also appears throughout nature—in flower patterns, the leaves of an artichoke, and the leaf stubs on a palm tree. It is also the ratio of the length of the human body above the navel to its length below the navel (in normally proportioned people, that is). The length of each successive bone in our fingers, from tip to hand, also bears this ratio.b

The journalist William Hoffer has remarked, “The great golden spiral seems to be nature’s way of building quantity without sacrificing quality.”2 Some people believe that the Fibonacci numbers can be used to make a wide variety of predictions, especially predictions about the stock market; such predictions work just often enough to keep the enthusiasm going. The Fibonacci sequence is so fascinating that there is even an American Fibonacci Association, located at Santa Clara University in California, which has published thousands of pages of research on the subject since 1962.

Despite Emperor Frederick’s patronage of Fibonacci’s book and the book’s widespread distribution across Europe, introduction of the Hindu-Arabic numbering system provoked intense and bitter resistance up to the early 1500s. Here, for once, we can explain the delay. Two factors were at work. Part of the resistance stemmed from the inertial forces that oppose any change in matters hallowed by centuries of use. Learning radically new methods never finds an easy welcome. The second factor was based on more solid ground: it was easier to commit fraud with the new numbers than with the old. Turning a 0 into a 6 or a 9 was temptingly easy, and a 1 could be readily converted into a 4, 6, 7, or 9 (one reason Europeans write 7 as 7).

Isn’t it odd that the same ratio that generates infinity also generates self-similarity?

the first one hundred and forty-four digits of pi also add up to 666. As well, one four four is the twelfth number in the Fibonacci sequence…

Types of Forex Strategy Traders Figuring out how to exchange isn't simple particularly with regards to the unfamiliar trade market. You will presumably need to learn it through a Forex exchanging framework. A few people believe that dealers are jack of all methodologies of exchanging yet that is not how things work. The way to fruitful exchanging is to turn into the expert of a couple of exchanging techniques. These couple of exchanging methodologies can take you far. Forex procedure dealer frameworks are broadly utilized by various individuals since they give you structure, a bunch of rules and an arrangement to follow as well. There are sure techniques that are at present utilized in the Forex market and they can even cause you to pick what Forex system broker would be best for you to make due in this market. Indicator Driving Trading Systems These exchanging bargains are planned by the individuals who look at that as a specific set up is working at the present time, yet utilizing this framework calls for wary managing. That is on the grounds that it simply works for the current second. This Forex exchanging framework can't give you uphold for quite a while. The framework utilizes pointers for producing an exchanging signal against the value activity. The pointers consistently slack and subsequently, they will in general give late just as false signals. They are not forward-thinking regardless. Something to be thankful for about this exchanging bargain is that it takes a gander at the graphs and numerous beginner merchants think that it’s valuable and enticing. They think of it as' not difficult to utilize and comprehend. Harmonic trading system The Harmonic trading system framework perceives value designs with the Fibonacci augmentations just as following data and afterward it figures the defining moments in the business sectors. It is an intricate type of exchanging which will call for significant practice. On the off chance that you ace it by training, at that point you will discover it among outstanding amongst other exchanging frameworks as it can offer more significant yields against the danger. You can utilize it for exchanging any sort of market. Technical Trading Systems These are perhaps the most ordinarily utilized exchanging bargains that are basic among Forex merchants. They incorporate climbing triangles, banner examples, shoulder examples, heads and various different examples to allow you to exchange the business sectors. These exchanging frameworks are truly useful and you utilize monetary information from earlier years to anticipate the market patterns and take an action. The Forex technique broker or the Forex exchanging frameworks empower you to ensure that you don't lose while you exchange from the solace of your own home. In any case, be certain that Forex exchanging frameworks are not lucrative aides. You actually need to utilize your own insight in exchanging and assemble loads of exchanging data request to put your cash in the perfect spot. Exchanging isn't some tea. On the off chance that you think by utilizing the exchanging gives you can guarantee making enormous amounts of cash, at that point you are incorrect. You should utilize your experience and viable information to guarantee that the Forex procedure broker you use demonstrates to control you in productive exchanging.

the numerological codex of Gematria the Babylonians gave the number 666 to the Sun and 1080 to the Moon or Earth Mother. The original calculations for the radius of the moon was 1080 miles. The Greek Gematria calculation for the phrase 'Holy Spirit' was 1080. 1080 divided by 666 equals 1.62, the Fibonacci number

He’d had no idea there was this much kissing in the world. That you could kiss, and kiss, and kiss, and not run out of ways to kiss. Like a Fibonacci sequence of touching, increasing always in complexity, but never breaking the boundary of their two joined mouths.

Fibonacci

We can mathematically prove the periodic table is a matrix, thus our reality is all made from maths. The Fibonacci sequence is interwoven into the basics of reality, thus everything is formulated from a central Source.

A hole in a hole in a hole—Numberphile Around the World in a Tea Daze—Shpongle But what is a partial differential equation?—Grant Sanderson, who owns the 3Blue1Brown YouTube channel Closer to You—Kaisaku Fourier Series Animation (Square Wave)—Brek Martin Fourier Series Animation (Saw Wave)—Brek Martin Great Demo on Fibonacci Sequence Spirals in Nature—The Golden Ratio—Wise Wanderer gyroscope nutation—CGS How Earth Moves—vsauce I am a soul—Nibana

Manetti claims he was surveying the antiquities of Rome, measuring their heights and proportions. He fails to record what method Filippo used, but he could have determined the height of columns or buildings with an upright rod. This method would have been familiar to him from Leonardo Fibonacci’s Practica geometriae (1220), a work that was studied in the schools of Florence. Or he could have employed a quadrant or, even more simply, a mirror, whose use for mensuration Fibonacci likewise describes.

AI Brain, PIRANDOM > Circlet + Diadem × Ring > Itemizer × Abstracter, Explained : 1111 < 11 < 1, I utilized dependency injection in code for the following. Phi divides into the Pythagorean theorem, and Pi divides into the Sort where Phi is 7 and the Cognitive domain is the point in time, Pythagoras is the Affective domain in space, and Pi is then injected to the fibonacci sequence for time within the range of 7 and 4 at 10 radians to form 3.14 respectively. In conclusion, If I ran this code in a video test to derive a model view projection matrix then this is the only code I would need to create the math core and automate calls to the pixel and vertex shaders Inna GPU.

list of possible patterns for Support & resistance Levels to consider when trading: Prior day High, Low & Close Gap & Previous unclosed Gap AB =CD Trading Range High, Low & Middle boundary Channel lines & Trendline High & Low of large trend bar EMA Opening price of the day Swing Highs & Lows Whole number (such as $50, $120) Fibonacci retracement level: 50%, 61.8% and extensions Daily, Weekly, Monthly High & Low & Close Measured Move Past 3-days High & Low Strong Breakout Bar Any Long-Wick Bar, the rejected portion High Volume Bar’s High, Low & Close News Bar’s High, Low (News such as FOMC report, Inventory Report, Consumer Price Index (CPI) and Producer Price Index (PPI) and others.

I have drawn the Fibonacci retracement from the high to the low. This means the retracement numbers are the opposite way around. I will explain why I did this in the Fibonacci section, but in a nutshell I am expecting a short-term reversal so I want to know in relation to the 50% retracement point (which will not move) where the other expansion levels (161.8%, 261.8% and 423.6%) will be for future reference.

Sum Fibonacci Style Sequences Create A 3x3 Magic Square Create A 4x4 Magic Square From Your Birthday Convert A Decimal Number To Binary The Egyptian Method / Russian Peasant Multiplication Extract Cube Roots Extract Fifth Roots Extract Odd-Powered Roots Conclusion More From Presh Talwalkar Why Learn Mental Math Tricks? Mental math has a mixed reputation. Some consider it useless because calculators and computers can solve problems faster, with assured accuracy. Additionally, mental math is not even necessary to get good grades in math or to pursue a professional math career. So what's the point of learning mental math and math tricks anyway? There are many reasons why mental math is still useful. For one, math skills are needed for regular tasks like calculating the tip in a restaurant or comparison shopping to find the best deal. Second, mental math tricks are one of the few times people enjoy talking about math. Third, mental math methods can help students build confidence with math and numbers. Mental math tricks are fun to share. Imagine your friend asks you to multiply 93 and 97, and before

Thus, the spirit of objective inquiry in understanding physical realities was very much there in the works of Muslim scientists. The seminal work on Algebra comes from Al-Khwarizmī and Fibonacci (Leonardo of Pisa) has quoted him. Al-Khwarizmī, the pioneer of Algebra, wrote that given an equation, collecting the unknowns on one side of the equation is called 'al-Jabr'. The word Algebra comes from that. He developed sine, cosine and trigonometric tables, which were later translated in the West. He developed algorithms, which are the building blocks of modern computers. In mathematics, several Muslim scientists like Al-Battani, Al-Beruni and Abul-Wafa contributed to trigonometry. Furthermore, Omar Khayyam worked on Binomial Theorem. He found geometric solutions to all 13 forms of cubic equations.

As he learned more math, Brodt made the wonder-inspiring observation that mathematical laws seemed to be Someone's intention rather than just accidents in many concepts: infinity, unity being totality, irrational numbers in general and pi in particular as it illustrates such disparate occurrences as the relationship of height to base perimeter in the Great Pyramid of Giza and the course of any meandering river (over a surface smoothed for consistency). There was also the Fibonacci Sequence, that looping string of addends which, with their sums, describes the spirals on a nautilus shell, the distribution of leaves around a tree branch, and the genealogy of ants and bees. It all seemed too orderly, too regular and consistent to have occurred by chance. So many things in the world appeared as blotches, smears, or random spikes that these mathematically explained phenomena were extraordinary--he wanted to say mystical, but he wouldn't want to be caught using that word.

care about each trader’s expectation or analysis, or emotions. Sometimes, the price stops for a while at the extensions and then continues if the trend is strong enough. In other cases, the move may reach or just about to reach the extensions before bouncing back. This is why you should learn how to watch the price reaction at the extension levels

Looming above their groves and plantations, the massive mansions of Patricians reflected an austere design of rectilinear geometry, with many a pillared portico, ambulatory, or chalcidicum of unsmiling caryatids circumvallating solemn cloisters, crowned with entablatures ordered by the golden mean, or belvedere, tower, and clerestory windows reflecting the Fibonacci sequence

What’s a Fibonacci number?” “It’s a number derived from the sum of the two previous numbers, starting from zero or one. The sequence starts, from one, 1, 1, 2, 3, 5…

There are only eight numbers. They repeat.” “That’s right, and it’s amazing that we could calculate this with only one hundred examples. Despite every block being a slightly different size and shape, calculating the ratios gets us only eight different ones, and the same thing happens when we divide the circumference by the ratio as a percentage. Furthermore, the eight unique numbers that result from that calculation are all Fibonacci numbers.

Why, just that the Fibonacci numbers have to be significant. Because of the ratios in the structure as a whole, you see. I think the builders were trying to draw our eyes to the fact that there’s an alphabet here. We can’t see all of it, because we don’t have enough data. But I’d be willing to bet that if we arranged these Fib numbers by location of the blocks they came from, we’d see something that looks random but is actually some representation of a written language.

I added new fields to the database, with the calculations your colleague applied to the data. Now we are able to see the result as soon as I have put the raw data into the record,” Raj was saying. As he typed, a dizzying array of numbers in rows and columns marched across the screen. A few more keystrokes, and the data arranged itself into a chart, showing the final calculation in colored numbers. Sarah and Daniel looked closer, to notice that the different colors always represented the same number, red for five, green for eight, and so on. The sequences, clearly Fibonacci numbers, went no higher than thirty-four. “How many of these blocks have you finished, Raj?” Daniel asked. “All of them in the passageway, both sides.” “And yet, not counting zero or the repeated one, we have only eight numbers, the highest being thirty-four. Could we have been mistaken about the message? It doesn’t seem like enough.

Look, the numbers up to eight are expressed everywhere in the pyramid, all the angles and measurements, everything. That was the builders saying, ‘look at this, we’ve left you a message if you can interpret this’. Now we’ve got three more numbers in the sequence, thirteen, twenty-one and thirty-four. I don’t know of any alphabet, ancient or modern, that had so few as thirteen characters, so I think it’s just that they chose Fibonacci numbers to get our attention and then point to the alphabet; the thirteen has no significance. I can’t see any, at least at this time. But twenty-one, and thirty-four, now we’re getting somewhere. We just have to find the alphabet that has one of those numbers of letters, and we’ll know what language they were speaking.

wrote Fibonacci in the introduction. Because he thought it useful for me, he wanted me to spend a few days there in the mathematical school, and to be taught there. Here I was introduced to a wonderful teaching that used the nine figures of the Indias. With the sign 0, which the Arabs call zephyr (al-sifr), any number whatsoever can be written.

The book provided the first really detailed Latin account of the modus Indorum, the method of the Indians, which Fibonacci believed was superior even to the method of Pythagoras. It brought to its readers the Indo-Arabic numbering system, spelled out by Khwarizmi, and before him Brahmagupta. Al-sifr is just a translation of the Sanskrit sunya, the concept of the void, which Brahmagupta first applied to zero.

This was in turn related to the Golden Ratio, which Fibonacci realised was something which kept reappearing in nature: the spiralling of the chambers of the nautilus shell, for example, obeys this ratio.59 Although Fibonacci’s Liber Abaci contains the earliest known description of the sequence outside India, the sequence had been described by Aryabhata as early as the sixth century.

But there is no doubt as to what happened to Nalanda’s near neighbour, the great monastery of Odantapura. In 1202, the same year that the young Fibonacci returned from Algeria to Italy, Bakhtyar Khalji’s Turkish troops attacked the monastery, a royal foundation. After slaughtering its inhabitants, they found vast heaps of manuscripts within one of the monastic towers. ‘Great plunder fell into the hands of the victors,’ recorded one chronicler. ‘The inhabitants of the place were Brahmanas with shaven heads. They were put to death. Large numbers of books were found there, and when the Mohammadans saw them, they called for some person to explain their contents. But all of the men had been killed, and there was no one left who could read them. It was discovered that the whole fort and city was actually a place of learning.’83 The monastery was then turned into a Turkish fortress, garrisoned with soldiers and commanded by a Turkish general.84

You, my Master, Michael Scot, most great philosopher, wrote to my Lord [Frederick II] about the book on numbers which some time ago I composed and transcribed to you … I have given the complete doctrine of numbers according to the method of the Hindus, which method I have chosen as superior to others in this science … [Now] complying with your criticism, your more subtle examining circumspection, to the honour of you and many others, I with advantage corrected this work … Further, if in this work is found insufficiency or defect, I submit it to you for correction.68 Fibonacci need not have worried. The 1228 edition of Fibonacci’s manuscript was enthusiastically copied and recopied

Pacioli’s Summa was a huge compendium of mathematics written in Italian, which brought together the ideas of Euclid, Khwarizmi and Fibonacci in a single volume. It was finally published on one of the first printing presses in Venice in 1494.