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Science Mysteries, Fibonacci Numbers and Golden section in Nature

Science Mysteries, Fibonacci Numbers and Golden section in Nature
Golden Ratio & Golden Section : : Golden Rectangle : : Golden Spiral Golden Ratio & Golden Section In mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller. Expressed algebraically: The golden ratio is often denoted by the Greek letter phi (Φ or φ). The figure of a golden section illustrates the geometric relationship that defines this constant. Golden Rectangle A golden rectangle is a rectangle whose side lengths are in the golden ratio, 1: j (one-to-phi), that is, 1 : or approximately 1:1.618. Golden Spiral In geometry, a golden spiral is a logarithmic spiral whose growth factor b is related to j, the golden ratio. Successive points dividing a golden rectangle into squares lie on a logarithmic spiral which is sometimes known as the golden spiral. Golden Ratio in Architecture and Art Here are few examples: Parthenon, Acropolis, Athens. Examples: Dr.

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Bethe Hagens - Planetary Grid - A New Synthesis by William Becker and Bethe Hagens Bethe Hagens The Planetary Grid: A New Synthesis Bill Becker (Professor of Industrial Design at the University of Illinois , Chicago ) and Bethe Hagens (Professor of Anthropology at Governors State University ) are a husband-wife team. In 1981,they started a product and graphics design partnership, Conservative Technology. Contact them at 105 Wolpers Road , Park Forest , Illinois 60466 . Blog Archive » The Fibonacci Spiral I don’t consider myself just a scrapbooker, photographer or designer. I consider myself an artist. It is not just cause I went to art school or that I like to create or that I appreciate art. Maybe it is all of these mixed together and maybe some other things mixed in there that I cannot explain. I see so many creative things around that inspire me.

Uncoiling the spiral: Maths and hallucinations December 2009 You can read a more accessible version of this article here. Think drug-induced hallucinations, and the whirly, spirally, tunnel-vision-like patterns of psychedelic imagery immediately spring to mind. But it's not just hallucinogenic drugs like LSD, cannabis or mescaline that conjure up these geometric structures. People have reported seeing them in near-death experiences, as a result of disorders like epilepsy and schizophrenia, following sensory deprivation, or even just after applying pressure to the eyeballs. Sacred Geometry: Flower of Life Sacred Geometry - Flower of Life By Andrew Monkman I believe the complete ancient flower of life is an inter-dimensional tool, a portal, a stargate, a window into what some call the inter space plains. The original flower of life (found on several pillars within "the Osireion" at abydos in Egypt) is incomplete, because it is only the first layer of three (pic1+2).

Kepler’s Laws – One Minute Astronomer Once Kepler got his hands on Tycho’s measurements, he worked diligently to make sense of the data and to develop a solid framework for the workings of the solar system. He succeeded. Working for more than a decade, crunching numbers with pen and paper, he laid out three simple mathematical laws that account for the motion of the planets. Kepler’s Laws were descriptive, so they didn’t explain the physical basis for celestial motion. That task fell to an even more astute mathematician: Isaac Newton. But “Kepler’s Laws” are rigorous enough to account for most planetary motion, and are still taught to high-school and college students all over the world.

Fibonacci Leonardo Bonacci (c. 1170 – c. 1250)[2]—known as Fibonacci (Italian: [fiboˈnattʃi]), and also Leonardo of Pisa, Leonardo Pisano, Leonardo Pisano Bigollo, Leonardo Fibonacci—was an Italian mathematician, considered as "the most talented Western mathematician of the Middle Ages.".[3][4] Fibonacci introduced to Europe the Hindu–Arabic numeral system primarily through his composition in 1202 of Liber Abaci (Book of Calculation).[5] He also introduced to Europe the sequence of Fibonacci numbers (discovered earlier in India but not previously known in Europe), which he used as an example in Liber Abaci.[6] Life[edit] Fibonacci was born around 1170 to Guglielmo Bonacci, a wealthy Italian merchant and, by some accounts, the consul for Pisa. Guglielmo directed a trading post in Bugia, a port in the Almohad dynasty's sultanate in North Africa.

Van der Pol oscillator Evolution of the limit cycle in the phase plane. Notice the limit cycle begins as circle and, with varying μ, become increasingly sharp. An example of a Relaxation oscillator. An Excerpt From Merkabah Rider: Have Glyphs Will Travel « Delirium Tremens The Merkabah Rider series from Damnation Books follows the weird western adventures of a Hasidic gunslinger tracking the renegade teacher who betrayed his mystic Jewish order of astral travelers across the demon haunted Southwest of the 1880′s. Along the way the Rider (so called because he has hidden his true name to protect himself from his enemies) confronts half-demon outlaws, animated windmills,possessed gunmen, cultists, a bordello of antedeluvian succubi, Lovecraftian entities and various other dangers. To evoke the old Zebra/Lancer/Bantam paperback collections of Robert E. Howard’s Solomon Kane and Conan, the novels are presented as collections of standalone but sequential novellas. The series currently consists of two installments, Tales of a High Planes Drifter and The Mensch With No Name, both available in print and ebook formats on

Kepler–Bouwkamp constant A sequence of inscribed polygons and circles. Numerical value of the Kepler–Bouwkamp constant[edit] The decimal expansion of the Kepler–Bouwkamp constant is (sequence A085365 in OEIS) If the product is taken over the odd primes, the constant is obtained (sequence A131671 in OEIS). Fibonacci number A tiling with squares whose side lengths are successive Fibonacci numbers In mathematics, the Fibonacci numbers or Fibonacci sequence are the numbers in the following integer sequence: or (often, in modern usage): (sequence A000045 in OEIS). The Fibonacci spiral: an approximation of the golden spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling;[3] this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34. By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.

9 Mental Math Tricks Math can be terrifying for many people. This list will hopefully improve your general knowledge of mathematical tricks and your speed when you need to do math in your head. 1. Multiplying by 9, or 99, or 999 Multiplying by 9 is really multiplying by 10-1. Dan Brown’s The Lost Symbol Features Astrology » The Horoscopic Astrology Blog Dan Brown, author of The Da Vinci Code, recently released his latest book titled The Lost Symbol, and the story contains a number of references to astrology. The novel is the latest installment in a series of stories featuring the main protagonist Robert Langdon, who is supposed to be an expert in religious symbology. Basically, Langdon is an expert in the meaning underlying symbols, and much of the plot development in Brown’s novels revolves around this.

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