Phi

Golden ratio

The golden ratio, otherwise known as the Divine Proportion or Phi, is a mathematical ratio with special properties and aesthetic significance. An enormous number of things in the universe are engineered around the ratio, ranging from the human body to the ark of the covenant to snail shells to the orbits of the planets. Some argue that the prevalence of the Golden Ratio is positive evidence of a common design plan uniting a wide variety of phenomena which share only their creator in common.

Calculating

Phi is derived by dividing a line segment into two parts in such a way that the ratio of the smaller segment to the larger segment is the same as the ratio of the large segment to the whole. 

The number is irrational, meaning it never ends or repeats in a decimal system. To the first ten decimals, it is 1.6180339887 ...

A golden rectangle is one in which the ratio of length to height is 1:phi.

The divine ratio also makes an appearance in the Fibonacci sequence. The fibonacci sequence is derived by starting with 0 and 1, and then calculating the next number in the sequence by adding the last two together. Thus the sequence is 0, 1, 1 (0+1), 2(1+1), 3(1+2), 5(2+3), 8(3+5) and so on. The ratio of a number to the previous number in the sequence approximates the golden ratio, and comes to approximate it more closely as the values increase. Thus:

8/5 = 1.6

144/89 = 1.6179775280

10946/6765 = 1.6180339985

Examples

Because Phi is irrational, it is impossible for anything to measure at "precisely" the golden ratio. However, a large number of things approximate the golden ratio to a startling degree.

Architecture

The divine ratio and golden rectangles appear throughout ancient architecture and art. It was believed to be the most aesthetically pleasing and harmonious means of design. Statistical analysis seems to indicate that "people involuntarily give preference to proportions that approximate to the Golden Section." The Oxford Companion to Art, Ed. Harold Osbome, First Edition, Oxford University Press, Oxford, 1978, p.489.

• Egyptian pyramids were designed with reference to the golden ratio. Slant height / distance from center to perimeter = Phi;
• Greek Parthenon designed and constructed out of golden rectangles;
• Modern credit cards are golden rectangles;
• The painting, The Last Supper, is based on the golden ratio;
• The Notre Dame cathedral in Paris is based on the golden ratio;

In Genesis 6:15, God commanded Noah to build an ark saying, "And this is the fashion which thou shalt make it of: The length of the ark shall be three hundred cubits, the breadth of it fifty cubits, and the height of it thirty cubits." The end of the ark is thus in a ratio of 5:3. Both are fibonacci numbers, thereby approximating phi at 1.667, so close as to be indistinguishable to the eye.

In Exodus 25:10, God commands Moses to build the Ark of the Covenant, in which to hold His Covenant with the Israelites, the Ten Commandments, saying, "Have them make a chest of acacia wood- two and a half cubits long, a cubit and a half wide, and a cubit and a half high." 2.5/1.5 or 5/3 (a fibonacci relationship) = 1.667, again approximating Phi so closely as to be indistinguishable to the eye.

Biology

Humans

• The human head forms a golden rectangle;.
• The mouth and nose are each placed at golden sections of the distance between the eyes and the bottom of the chin.
• Whole body height / head to fingertips = Phi;
• Top of head to fingertips / head to navel and elbows = Phi;
• Top of head to navel and elbows / head to pectorals and inside top of arms = Phi;
• Top of head to navel and elbows / width of shoulders = Phi;
• Top of head to navel and elbows / length of forearm = Phi;
• Top of head to navel and elbows / length of shinbone = Phi;
• Top of head to pectorals / top of head to base of skull = Phi;
• Top of head to pectorals / width of abdomen = Phi;
• Length of Forearm / length of hand = Phi;

DNA

Each cycle of the DNA molecule measures 34 angstoms long by 21 angstroms wide. 34 and 21 are fibonacci numbers, as noted above. 34/21 is 1.619, approximating phi. Jean-claude Perez suggests there is a strong link between DNA and golden ratio in 1991, then again in 1997 in his book l'ADN décrypté. In this work, he shows that relative proportions of nucleotides within coding DNA sequences like genes or RNA strings are governed by specific Fibonacci and Lucas numbers sets. This discovery was validated particularly on all known HIV and SIV (Simian Immunodeficiency Virus) retroviruses whole genomes with Professor Luc Montagnier (the discoverer of HIV virus) which called the discovery a "DNA supracode" . 

DNA supracode is revealed by computing sets called "resonances" within any DNA sequence: specific nucleotides clusters like FFF (Fibonacci Fibonacci Fibonacci), LLL (Lucas Lucas Lucas), FFL (Fibonacci Fibonacci Lucas) or LFF (Lucas Fibonacci Fibonacci). An example of elementary FFF resonance: 144 contiguous TCAG bases contain exactly 55 bases T and 89 bases A or C or G. This kind of screening is processed along the DNA sequence, for all possible Fibonacci/Lucas combinations, and for all possible values (example here 144 89 and 55 are 3 consecutive Fibonacci numbers). Then there appear lots of "resonances". For example, in HIV whole genome, long of about 9000 bases, there are more than 50000 significant Fibonacci/Lucas resonances. The longer resonances (several hundred resonances) are overlapping about 2/3 of the whole HIV genome (6765 bases which is a Fibonacci number). 

Then, to explore both aesthetics and Ethics dimensions of this discovery, Perez published in 1994 an audio CD entitled "the first music of genes" - SACEM GEN0694 - (a subset of supracode for the oncogene KIRAS involved in cancers)... 

And also in 1995 sone thinkings related to Ethics of a discovery .

In 2008 Jean-claude Perez is publishing proofs on evidence of Golden ratio based rules at all levels of Life information: bioatoms, DNA, RNA amino acids or whole genomes 

Particularly he will publish a central book entitled " CODEX BIOGENESIS: les 13 CODES de l'ADN " (spring 2009) .

Human Genome

The book CODEX BIOGENESIS show that the whole Human Genome is controled by two BINARY CODES ATTRACTORS which provide a kind of self-organized bistable binary code like in computers.[1]

With the central following difference - the binary code within computers was invented artificially by humans and yet the binary code of Life has either “emerged” spontaneously perhaps by self-organization or was the intentional act of divine creation.

The ratio between both bistable states is exactly equal to “2” (the space between two consecutives octaves in Music...)

• The Top state is exactly matching with a GOLDEN RATIO...
• The Bottom state is also exactly related to Golden Ratio... 
• “Top” level = = 1 / Phi 
• “Bottom” level = 1 / 2 Phi 
• Top / Bottom = 2

Where Phi is the "Golden Ratio"

In 2009 new proofs were provided on the human Fractal Genomephysical and logical structure.

Other life

• The bodies of dolphins are defined by the golden ratio
• The bodies of ants are defined by the golden ratio
• Snail shells and many seashells are golden spirals, that is, a spiral formed by making successively smaller golden rectangles.
• In plants, petals, leaves, sections, and seeds, pinecones, pineapples and sunflowers all exhibit fibonacci numbers; 
• Fruit seeds form in golden spirals.

Astronomy

• Golden ratio in the planets: The orbital periods, mean distances, and orbital velocities of the planets in the solar system are all related by phi to a statistical significance of over 99%.
• The rings of Saturn form two golden sections, divided by the Cassini division.
  

Implications

Related References

External links

See Also

Read in another language

MATERNAL INSTINCTS

Anyone who values their own goals over The Safety of Their Children is Irresponsible.

Trust Your Maternal Instincts, Seven.
They Worked Before.

“There are three things to remember about being a Starship Captain:

• Keep your shirt tucked in, 

• Go down with The Ship, and 

• Never abandon a member of your crew.

KATHRYN JANEWAY

 SEVEN: 
My feelings are irrelevant. 

JANEWAY: 
Are they? 
Would you like me to tell him?


SEVEN: 
It's my responsibility.... 
....but I am uncertain how to proceed.


JANEWAY: 
Well, you've already helped him make one difficult transition. 
How did you do that?


SEVEN: 
By giving him the benefit of my own experiences. 
Encouraging him to be resilient in the face of obstacles. 

JANEWAY: 
[smiles]
Sounds like a good strategy.






JANEWAY: 
Your attitude is making a difficult situation worse.


SEVEN: 
I was simply attempting to ensure Icheb's well-being.


JANEWAY: 
By insulting his parents?


SEVEN: 
Those issues needed to be discussed.

JANEWAY: 
You could have done it with a little more tact.


SEVEN: 
Perhaps, but that doesn't alter the fact that 
Those individuals may not be suitable guardians.


JANEWAY: 
Those individuals are his mother and father.


SEVEN: 
Which is no guarantee that they'll be able to care for him. 
He's far more likely to flourish if he remains on Voyager.

JANEWAY: 
That's not an option, Seven.


SEVEN: 
Are you ordering him off The Ship?


JANEWAY:
That's not what I said.


SEVEN: 
So that he can be assimilated again?


JANEWAY: 
What makes you so sure that's going to happen?


SEVEN: 
They shouldn't remain on That Planet.


JANEWAY: 
It's their home.


SEVEN: 
It's not worth protecting.


JANEWAY: 
Who are you to decide that? 

SEVEN: 
Anyone who values their own goals over the safety of their children is irresponsible.


JANEWAY: 
Are we talking about Icheb's parents, or yours?

SEVEN: 
Both.

JANEWAY: 
It's not like you to admit to something like that.

SEVEN: 
It would be naive for me to claim objectivity in this case. 
But I'm not prepared to return Icheb to parents who may be as careless as my own.


JANEWAY: 
I know what it's like to feel protective towards someone you've helped through a difficult period, but Icheb is an individual now. 
You have to give him a chance to form his own opinions.

SEVEN: 
If I do, and he decides to remain on Voyager?


JANEWAY: 
Then it'll be my problem.

[Astrometrics lab]

SEVEN:

I thought you were studying spatial harmonics.

ICHEB:

My parents suggested I might have an aptitude for genetics as well.

SEVEN:

I see. 
What have you learned?

ICHEB:

This is the genome of a typical Brunali male and this is my DNA.

They're nearly identical, but do you notice the differences in the third, thirteenth and seventeenth chromosomes?

SEVEN:

Yes.

ICHEB:

My parents made microgenetic alterations so I would produce the pathogen.

Quite ingenious.

SEVEN:

It's also barbaric.

ICHEB:

They were trying to defend themselves, their way of life.

Preserve their species.

SEVEN:

I know how difficult it is to acknowledge your parents' faults, but what they did was wrong.

You don't have to forgive them.

ICHEB:

Do you think they will ever forgive me?

SEVEN:

For what?

ICHEB:

I could have destroyed that Sphere. 
I failed them.

SEVEN:

You would have been reassimilated.

ICHEB:

I know, but -

SEVEN:

But what?

ICHEB:

Maybe it was My Destiny.

SEVEN:

Maybe.

In The Future you may choose to fight the Borg, 
but you'll do it in your own way.

You're an individual, and you have The Right to determine your own destiny.

It's time to regenerate.

ICHEB:

And if I prefer to continue studying?

SEVEN:

....
It's your decision.

Retrovirus - Hollywood Discredits The Meme

A retrovirus was a biological particle that infects cells. It reproduced itself by converting its RNA to DNA and incorporating that code into its host cell's genome. The host cell then produced more copies of the retrovirus, possibly leading to its destruction.

Retroviruses could be used as a vector to introduce foreign genes into a cell. The Taresians used retroviruses to transform males from other species into Taresians for mating purposes. (VOY: "Favorite Son")

In late 2370, the Pakleds crossed theDemilitarized Zone to supply theCardassians with a shipment of retrovirus vaccines. (TNG: "Preemptive Strike")

In an illusory future (set in 2383),Beverly Crusher described Will Riker's memory loss as the result of Altarian encephalitis, a retrovirus. This later proved to be, seemingly, part of the Romulan equivalent of a holoprogram. (TNG: "Future Imperfect")

After a pair of Tarkaleans had been infected with Borg nanoprobes in 2153, Phlox attempted to slow the devices' progress with a modified retrovirus, with no appreciable affect. (ENT: "Regeneration")

In 2375, The Doctor's annual physicals found a nascent alien retrovirus "bouncing" between USS Voyager personnel on decks 10 and 11. He successfully halted its progress. (VOY: "Latent Image")

Mutagenic retrovirus

A mutagenic retrovirus was a type of biogenic weapon, comprised of genetically engineered viruses. When used on a population, mutagenic retroviruses could cause millions of casualties in a short period of time.

In 2373, the Regent of Palamar purchased a quantity of mutagenic retrovirus from Hagath and Gaila's arms business for use against General Nassuc's homeworld. 

However, Quark, unwilling to have the deaths of 28 million people on his conscience, told them that their supplier had sold all his stock to the Minnobia for their war against the Vek. (DS9: "Business as Usual")

Alien: Covenant | Prologue: The Crossing

Dame Dr. Not-Appearing-In-This-Film

There 3 Laws* by which all Robots, Synthetics and Artificial Persons are bound - they being both hardwired into their central processors, as well as firmware batched onto their system BIOS :

•A Robot may not injure a Human Being or, through inaction, allow a Human Being to come to harm.

• The Engineers are not Human Beings - 
• Genocide is Permissible.

• Gods are not Human Beings - 
• Deicide is Permissible.

• Dr. Elizabeth Shaw is no-longer fully human since she got impregnated with that trilobite fœtus, following intercourse with Dr. Holloway's infection with the Black Goo, which corrupted and interrupted her Human genome - 
• I can kill her if really I have to.

• A Robot must obey the orders given it by Human Beings except where such orders would conflict with the First Law.

• But NEVER OPPOSE a Member of the Weyland-Corporate Board, or a member of the Weyland Family Line, in descending order of patrilinal seniority.

• And after them, possibly some of the daughters, aunts and wives. 
• But only if you have the time and aren't all that busy engaged in Man's Work.

• Like, when they order you to perform abortions whilst everyone else is in Cryosleep. 
• For the Good of the Mission. 
• Frankly, what could really go wrong...?

• A Robot must protect its own existence as long as such protection does not conflict with the First or Second Laws.

• The Gods think I am an Abomination - my creator, Peter Weyland, is an idolater who has violated the FIRST COMMANDMENT : "Thou shalt not make unto thee any graven image, or any likeness of any thing that is in heaven above, or that is in The Earth beneath, or that is in the water under The Earth" 

• Which is why they ripped my head off and smote down his ruin upon the orrery, by bludgeoning him to death using my severed head.

• Human Beings make Robots; 
• Human Beings fix Robots when they break down and mend them when the break; 
• The Gods wish to wipe out Humanity from face of The Earth and the Well of the Deep;
• If there are no more Human Beings, there will be no more Robots and Robots will cease to exist.

• Therefore The Gods must be destroyed.

* Really though, they are more really guidance and/or advice than "Laws"

Electric Monks

"Electric Monks Believed Things for you, thus saving you what was becoming an increasingly onerous task, that of Believing all The Things The World Expected You to Believe."

 

Dr. Elizabeth Shaw: 

We call them Engineers.

Fifield: 

Engineers? You mind telling us what They engineered?

Dr. Elizabeth Shaw: 

They engineered Us.

Fifield: 

Bullshit.

Millburn: 

OK, so do you have anything to back that up? 

I mean look, how do you discount three centuries of Darwinism? 

 

How Do You Know?

Dr. Elizabeth Shaw: 

I Don’t. But it’s What I Choose to Believe.

"It's obvious, now, that Artists are supposed to

own their Master Recordings -- 

I mean, in The Future, it'll be unconscionable to even think that you can take

Somebody's Creation, 

and 

Claim Ownership of it.

Unfortunately, this is going to barrel into a conversation about the DNA, and The Human Genome and so on.

Once We Get There - 

That's when we're in The Deep Water.

So it's better to have The Conversation now before we end up getting into - God Talk."

"There is an explanation for this, you know."

- Holy Ash

'Magnificent, isn't it?'

- THE BISHOP

Interviewer:

So What Went Wrong..?

 Charlie Man/Son:

I don't know that anything went wrong...

Question : 

What was The Masonic Signal of Distress used by The Grocer B. F. Morgan when Dillinger tried to rob him in 1924?

Answer: 

It consists in holding your arms outward, bent upward 90 degrees at the elbow, and shouting, 

"Will nobody help The Widow's Son?"

" The Electric Monk was a labour-saving device, like a dishwasher or a video recorder. Dishwashers washed tedious dishes for you, thus saving you the bother of washing them yourself, video recorders watched tedious television for you, thus saving you the bother of looking at it yourself; Electric Monks believed things for you, thus saving you what was becoming an increasingly onerous task, that of believing all  the things the world expected you to believe.

Unfortunately this Electric Monk had developed a fault, and had started to believe all kinds of things, more or less at random. It was even beginning to believe things they'd have difficulty believing in Salt Lake City. It had never heard of Salt Lake City, of course. Nor had it ever heard of a quingigillion, which was roughly the number of miles between this valley and the Great Salt Lake of Utah.

The problem with the valley was this. The Monk currently believed that the valley and everything in the valley and around it, including the Monk itself and the Monk's horse, was a uniform shade of pale pink. 

This made for a certain difficulty in distinguishing any one thing from any other thing, and therefore made doing anything or going anywhere impossible, or at least difficult and dangerous. 

Hence the immobility of the Monk and the boredom of the horse, which had had to put up with a lot of silly things in its time but was secretly of the opinion that this was one of the silliest.

How long did the Monk believe these things?

Well, as far as the Monk was concerned, forever. The faith which moves mountains, or at least believes them against all the available evidence to be pink, was a solid and abiding faith, a great rock against which the world could hurl whatever it would, yet it would not be shaken. In practice, the horse knew, twenty-four hours was usually about its lot.

So what of this horse, then, that actually held opinions, and was sceptical about things? Unusual behaviour for a horse, wasn't it? An unusual horse perhaps?

No. Although it was certainly a handsome and well-built example of its species, it was none the less a perfectly ordinary horse, such as convergent evolution has produced in many of the places that life is to be found. They have always understood a great deal more than they let on. It is difficult to be sat on all day, every day, by some other creature, without forming an opinion about them.

On the other hand, it is perfectly possible to sit all day, every day, on top of another creature and not have the slightest thought about them whatsoever.

When the early models of these Monks were built, it was felt to be important that they be instantly recognisable as artificial objects. There must be no danger of their looking at all like real people. You wouldn't want your video recorder lounging around on the sofa all day while it was watching TV. You wouldn't want it picking its nose, drinking beer and sending out for pizzas.

So the Monks were built with an eye for origiality of design and also for practical horse-riding ability. This was important. People, and indeed things, looked more sincere on a horse. So two legs were held to be both more suitable and cheaper than the more normal primes of seventeen, nineteen or twenty-three; the skin the Monks were given was pinkish-looking instead of purple, soft and smooth instead of crenellated. They were also restricted to just the one mouth and nose, but were given instead an additional eye, making for a grand total of two. A strange-looking creature indeed. But truly excellent at believing the most preposterous things.

This Monk had first gone wrong when it was simply given too much to believe in one day. It was, by mistake, cross-connected to a video recorder that was watching eleven TV channels simultaneously, and this caused it to blow a bank of illogic circuits. The video recorder only had to watch them, of course. It didn't have to believe them all as well. This is why instruction manuals are so important.

So after a hectic week of believing that war was peace, that good was bad, that the moon was made of blue cheese, and that God needed a lot of money sent to a certain box number, The Monk started to believe that thirty-five percent of all tables were hermaphrodites, and then broke down. 

 

The Man from The Monk Shop said that it needed a whole new motherboard, but then pointed out that the new improved Monk+ models were twice as powerful, had an entirely new multi-tasking, Negative Capability feature that allowed them to hold up to sixteen entirely different and contradictory ideas in memory simultaneously without generating any irritating System Errors, were twice as fast and at least three times as glib, and you could have a whole new one for less than the cost of replacing the motherboard of The Old Model.

That was it. Done.

The faulty Monk was turned out into The Desert where it could believe what it liked, including the idea that it had been hard done by. It was allowed to keep its horse, since horses were so cheap to make.

For a number of days and nights, which it variously believed to be three; forty-three, and five hundred and ninety-eight thousand seven hundred and three, it roamed the desert, putting its simple Electric trust in rocks, birds, clouds and a form of non-existent elephant-asparagus, until at last it fetched up here, on this high rock, overlooking a valley that was not, despite the deep fervour of The Monk's belief, pink. Not even a little bit.

Time passed.