Fibonacci Sequence 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.

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.

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.

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.

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

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 ...

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.

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.

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.

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).

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.

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.

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

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)

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

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 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.

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…

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.

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

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.

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

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.

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…

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.

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.