Fibonacci number

Understanding The Fibonacci Sequence And Golden Ratio

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WakingTimes  May 30 2014

“If you graph any number system, eventually patterns appear. In mathematics, numbers and their patterns do not only continue infinitely linear, but in all directions. For example, considering infinite decimal expansion, even the shortest segments have an infinite amount of points.” ~Waking Times

The Fibonacci Sequence

The Fibonacci sequence is possibly the most simple recurrence relation occurring in nature. It is 0,1,1,2,3,5,8,13,21,34,55,89, 144… each number equals the sum of the two numbers before it, and the difference of the two numbers succeeding it. It is an infinite sequence which goes on forever as it develops.

The Golden Ratio/Divine Ratio or Golden Mean

The Golden Ratio can be seen from a Chambered Nautilus to a Spiraling Galaxy
The Golden Ratio can be seen from a Chambered Nautilus to a Spiraling Galaxy

The quotient of any Fibonacci number and it’s predecessor approaches Phi, represented as ϕ (1.618), the Golden ratio. The Golden Ratio is best understood geometrically by the golden rectangle. A rectangle unevenly divided resulting into one square and one rectangle, the square’s sides would have the ratio of 1:1, and the new rectangle would be exactly proportionate to the original rectangle – 1:1.618.

This iteration can continue both ways, infinitely. If you plot a quarter circle inside each of the squares as they reiterate, the golden spiral is formed. The golden spiral is possibly the most simple mathematic pattern that occurs in nature like shells of snails, sea shells, horns, flowers, plants. Numbers are only what we use to organize quantitative information. Continue reading →

Revival Of Ancient Knowledge

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QuantumWorld  March 2014 (Thanks, WZ)

Pyramids_AncientLandsWe all have a deep rooted connection with both the spiritual realm and the natural planetary cycles. Ancient civilizations were much more in touch with this side of themselves, and this could be for many reasons. Without modern technological culture disrupting our natural energy fields, one can obtain clairvoyance to the various types of cosmic energy in the universe.

When we begin to think about the fact that we have distanced ourselves from our innate spirituality, it can seem kind of troubling to a lot of people. It is important to note that this was always supposed to happen. The Mayan civilization, as well as many others, predicted that the earth’s rotation and subtle wobble throughout time operates on a 26,000 year cycle of forgetting and remembering our connection to the spirits. This was a scare for a lot of religious people because it is said that this last cycle we are on will be the end of the world as we know it (predicted to happen in 2012). This is not to be confused with Armageddon, but rather a global shift in consciousness. We were always supposed to start waking up again around this period in the planet’s timeline. Continue reading →

Putting Magic In Your Own Words

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JillsWingsOfLight  January 25 2014

EgyptianMusicalInstrumentThere is a secret power in language sounds. If everyone stopped talking, our energy would drop. Ancient people knew the power in sounds and words…not from the meaning, but from the sounds.

Historian Schwaller de Lubicz[1] discovered that in rituals the ancient Egyptians used “sound formulas” that were not words and had no meanings. He reported that, ‘”Sacred or magical language is not to be understood as a succession of terms with definite meanings… the excitation of certain nervous centres [cause] physiological effects [which] are evoked by the utterance of certain letters or words which make no sense in themselves.”[2]

Confirming this, an ancient Egyptian named Asklepios said in a letter to King Amman, “As for us, we do not use simple words but sounds all filled with power.”[3]

In ancient Egypt, there was a form of vocal music called layali, was used and repeated the syllables, ya, leal and einy.[4]

Continue reading →

Checksum Discovered In DNA (The Mathematics Of DNA)

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Cosmic Fingerprints

Imagine that someone gives you a mystery novel with an entire page ripped out.

And let’s suppose someone else comes up with a computer program that reconstructs the missing page, by assembling sentences and paragraphs lifted from other places in the book.

Imagine that this computer program does such a beautiful job that most people can’t tell the page was ever missing.

DNA does that.

Barbara McClintock won Nobel Prize posthumously

In the 1940′s, the eminent scientist Barbara McClintock damaged parts of the DNA in corn maize. To her amazement, the plants could reconstruct the damaged section. They did so by copying other parts of the DNA strand, then pasting them into the damaged area.

This discovery was so radical at the time, hardly anyone believed her reports. (40 years later she won the Nobel Prize for this work.)

And we still wonder: How does a tiny cell possibly know how to do…. that???

A French HIV researcher and computer scientist has now found part of the answer. Hint: The instructions in DNA are not only linguistic, they’re beautifully mathematical. There is an Evolutionary Matrix that governs the structure of DNA.

Computers use something called a “checksum” to detect data errors. It turns out DNA uses checksums too. But DNA’s checksum is not only able to detect missing data; sometimes it can even calculate what’s missing. Here’s how it works.

In English, the letter E appears 12.7% of the time. The letter Z appears 0.7% of the time. The other letters fall somewhere in between. So it’s possible to detect data errors in English just by counting letters.

In DNA, some letters also appear a lot more often (like E in English) and some much less often. But… unlike English, how often each letters appears in DNA is controlled by an exact mathematical formula that is hidden within the genetic code table.

When cells replicate, they count the total number of letters in the DNA strand of the daughter cell. If the letter counts don’t match certain exact ratios, the cell knows that an error has been made. So it abandons the operation and kills the new cell.

Failure of this checksum mechanism causes birth defects and cancer.

Barbara McClintock
Jean-Claude Perez discovered an evolutionary mathematical matrix in DNA, based on the Golden Ratio 1.618

Dr. Jean-Claude Perez started counting letters in DNA. He discovered that these ratios are highly mathematical and based on “Phi”, the Golden Ratio 1.618. This is a very special number, sort of like Pi. Perez’ discovery was published in the scientific journal Interdisciplinary Sciences / Computational Life Sciences in September 2010.

Jean-Claude Perez discovered an evolutionary mathematical matrix in DNA, based on the Golden Ratio 1.618

Before I tell you about it, allow me to explain just a little bit about the genetic code.

DNA has four symbols, T, C, A and G. These symbols are grouped into letters made from combinations of 3 symbols, called triplets. There are 4x4x4=64 possible combinations.

Continue reading →