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The Da Vinci Code - PHI

I know, I've been talking about this book for the last week. It's absolutely engrossing. I love mysteries, and this one keeps you turning the pages right to the end.

Robert Langdon is a Harvard symbologist on business in Paris. Sophie Neveu is a young cryptologist who works for the French police. Sophie's grandfather, Jacques Sauniere, is the curator of the Louvre. The story opens with Sauniere being stalked and shot in the museum. In his last moments, he leaves clues for his granddaughter and Langdon to solve, to prevent the loss of the secret of the Priory of Sion.

The author, Dan Brown, has done an incredible job of fashioning a work of fiction based on fact. It's difficult occasionally to tell the dividing line between the two, and that sent me surfing the Internet for information. The page before the Prologue states that "All descriptions of artwork, architechture, documents, and secret rituals in this novel are accurate." It also confirms that the Priory of Sion, a secret society founded in 1099 is a real organization, and that Opus Dei, is truly a Catholic sect with headquarters in New York City.

One of the first subjects Brown introduces in discussing the works of Da Vinci is the number PHI. (Clues in Da Vinci's work lead the way to resolving Sauniere's death, so Brown presents facts about the work to move the story forward)

As a musician, I never had the chance to take classes in other forms of art, so I've never been introduced to the concept of PHI in art class. The number 1.618 is PHI. It's also known as the "Divine Proportion." Brown writes "PHI is generally considered the most beautiful number in the universe."

PHI is derived from the Fibonacci sequence (more on this later). It turns out that PHI has a role as a natural building block of nature. Plants, animals, and even humans possess dimensional properties which adhere to the ratio of PHI to 1.

For example, in a honeybee community, the females outnumber the males by 1.618 to 1.

The ratio of each spiral to the next on a chambered Nautilus' shell is 1.618 to 1.

"Sunflower seeds grow in opposing spirals." The ratio of each spiral to the next is PHI to 1. This is also true of spiraled pinecone petals, leaf arrangement on plant stalks and insect segmentation.

Da Vinci studied corpses and discovered the Divine Proportion in human bone structure. The distance from the tip of your head to the floor, compared to the distance from your navel to the floor is PHI to 1.

The distance from your shoulder to your finger tips, divided by the distance from your elbow to your fingertips will give you PHI. You'll find the same ratio with hip to floor divided by knee to floor, finger joints, toes, and spinal divisions.

Brown presents all this information in a classroom setting, and it's infinitely more interesting than my dry recitation of facts. I responded the same way as the fictional class, enjoying each example he provided.

The point of this, is that we find that it's not limited to nature, but it's been used by artists and architects. The Parthenon, the pyramids in Egypt and the United Nations Building all use the Divine Proportion. Da Vinci, Michaelangelo, Durer and many other artists used the proportion in their paintings, and Beethoven, Mozart, Bartok, Shubert and Debussy are just a few musicians who have also used it in their compositions.

Fascinating, isn't it? Get the book, and see how Dan Brown carries it through his story.

Comments (44)

Ok, you've done it... You've piqued my interest. I am going to try to get that novel and read it. I will let you know what I think. Right now I must tell you, 1.618 doesn't look any more beautiful than 3.14159265 (PI)

David Irwin:

My wife is currently reading this. I am also intrigued by PHI - 1.61803399. I believe this to be direct evidence that a perfect God created the Universe. The evolutionary process could have never brought about such an organization and functionality of a proportion.

anonymous:

I just picked this book up yesterday, and am already on chapter 30, which is not a gargantuan accomplisment seeing as the chapters generally range from 2-5 pages. I read about PHI today, and haven't tested it, I'm not sure how valid it is. I dunno, I'll see.

Ed L.:

I have already read it and am surprised that all the facts are true. This is absolutely a great book and need answers to the questions on www.davincicode.com
I hope somebody will repost or email me about it. I am 13 and asked my teacher about PHI but she didn't seem to know.
Well See ya Later
~Ed

Ed L.:

my email address is puffinsrock22@yahoo.com
Sorry abot the wierd email address

Katie:

PHI appears in the geometry of the 5-sided pentagon also know as Da Vinci's Vitruvian Man. Five appears in the human body which has proportions based on PHI. For example 5 appendages from the torso, 5 fingers and toes, five openings on the face, 5 senses.

Meg:

There is a lot of info in this book, and many of the "code" very cleverly placed, but none of the theory is original. Some of it is based on mathematical "truths" that have been held out as true for centuries and others are "theories" that are curious and fun to imagine. Just remember that many of the "truths" in mathematics based on the speed of light are now in question because there may be a mistake in the origianl calulation of the speed of light that is off by a milosecond or two...which changes everything! Same is true on the calander used to determine our current date. It is now beleived it is off by as much as 6 years, and guess what...in the yr 0, being the year of Christs birth, there was no "morning star" BUT...6 yrs earlier there was an eclipse of jupiter by the moon along with other planet alignments in the constelation of Aries that would have produced a morning star that was said to be the guiding light for the three kings. There is so much to look at over the centuries and the quest for knowldge is the key. Just keep it balanced by the knowledge that man makes mistakes...which is why faith has to be a balancing facet! By the way, in the my recent readings on Phi (there is an alternate number of phi that is Phi -1, which is an interesting proportion as well) the symbol that is used is the combination of 0 which indicated nothingness and the symbol of 1 which indicated Unity/God. The fusing of the two or infusing God into nothingness gives you the symbol of PHI Φ . To do this on your keyboard you hold the Alt key down, then type 1000 and the symbol will appear. What I read was that this, in typical symbolism lingo is an alternate look at the trinity. And the mathematical theory of Phi is that there is only one way to divid a line A into two sections, B&C so th that the ratio of B to C is the same ratio of A to B...or in other words, another reference to the trinity. Many of the properites in the human body fit the phi ratio which is Phi -1 , or minus Unity/God, but when put into the full body dimension it equals Phi Φ, or the unity with God. Something to think about!

Todd:

Just finished the book DVC. Great book, but i disagree with his assessment of the early church and its conflict over the diety of christ. To my knowledge,The council of Nicea was debating the nature of the trinity, whether they were one or three, whether Christ was god or the son of god etc. This obviously implies that the debate wasn't over christs dvinity,but over the nature of his divinity. Furthermore, Paul's letter are written 30-60 tears after the death of Christ and obviuosly refer to Jesus as divine; so i'm not clear on why the autor of DVC would state that early christians belived christ to be mortal. To me it doesn't matter whether christ was mortal or not, but it does matter that information should be true. I had problems with the pagan female ideas as well. It seems to me that female/earth goddess' fell into serious decline with the advent of aggriculture in 10,000 BC. The shift from earth gods to sky gods was accompnaied by the shift from priest led societies to warrior chief societies. Christianty continued the evolution, but it did not initiate it. The eclipse of female/earth gods began long before christianity. To check my theory compare the portrails of god in genisis (ADma and Eve) with the portryal of god in Exodus (Moses) and job. The first is and earth god walking amongst the Garden, the second is a cloud/mountain god invisible yet appearing as a burning bush, the last is an unknowable god in a whirlwind. I am curious about his references to a female hebrew god. I have never heard of this before. Can someone shed some light?

I too have read the book, and i became an instant Dan Brown fan, and have pursued much more knowledge and confirmation since then. Primarily, i was most impressed with the planetary geometry lesson. The fact that venus outlines a pentangle every 4 years across the sky came as quite a shock. I went on to discover later that her little brother, mercury, makes a six pointed star about every 3 years in the heavens. There seems to me to be an odd set of coincidences happening , as you know, with phi being a bio-metric occurrence as well as coincidental planetary travel measurement, which points to intelligent universal guidance.Then there is the possible conspiracy of the graille and its secret nature, that being the secret family of christ. I loved the book, and give it 4 stars of perfection, but i warn also, there are a number of organizations being pegged as "potential anti-christ" groups, or having members who include people that want to claim to be the returned messiah. This book strangely indicates the general acceptance of such a leader and whether or not it is the right thing to do, i am already lost on that point, but it has to do with the general overthrowing of christianity, which, as we all know, has become somewhat of a spectacle in the popular view. I too rebel against strict bible teaching because of my uncertainty of its accuracy. Prayer is still the only way to confirm any amount of knowledge. prayer and determination. It sure is nice to know what a few of the numbers god used when he made this whole mess are anyway.

btw, im fatesoffury@yahoo.com

John:

I read this book faster than any book I ever read. Mathematics is not my forte, so I really cannot comment on Phi or even Pi for that matter. However, the idea that there are families in Europe that believe they are direct descendants of Christ is not new. They did spawn secret societies which still exist. It would be interesting if any DNA could be salvaged from the shroud of Turin and compared to the DNA of those who believe they are lineal descendants. However, after all the speculation, the most enlightening part of the book was how the early church removed the favorable gospel references to Mary Magdelene and recast her as a whore and subjugated women in the church to a position of powerlessness. Absolutely fascinating and historically true.

Chris:

You would not be able to get dna from the shroud of Turin because they already proved that the shroud came from about a 600-1000 years after christ's supposed death

Megan Scollin:

Not so fast on the Shroud disclaimer. There are all sorts of scientific reasons as to why they did not find the carbon dating to be as far back as originally expected and these reasons get the dates back in line. It is one of the most interesting things I have read about and neither side of the argument can be conclusivly won. So ultimatly we are left in the hands of faith on that one yet again! My thoughts on the whole family of Christ idea does not really make that much of a difference to me on whether I beleive Christ is Divine and our Savior. Just as I really don't have an issue as to whether Mary had any children after Christ. These are truely human issues and I have enough of those on my own! If this book is promoting the idea that a decendent line negates the Divine job of Jesus I'd say it hit far from it's mark, but if it is trying to create intrigue about centuries old secrets and educate on the hows and whys of old societies I think it did a clever presentation of existing ideas. I found this book to be very enjoyable reading, but not Faith schattering fare.
I too am curious about the reference to a female hebrew god. Any info on that one?

I'm delighted to find that so many of you have enjoyed this book and want to discuss it!

In reference to the last post....I don't think the author's intent was to negate Christ's divinity, but rather to point out that women were intended to be an equal part of the church. He certainly DID create intrique about secrets and ancient societies, and he's not the first writer to do so. I enjoyed that part of his writings immensely.

I missed the reference to a female hebrew god. We'll have to see what other readers have to say.

Thank you all for posting!

Johhny:

I just noticed that PHI, 1.618, is also the ratio of the Zippo lighter's base to cap. Perhaps that explains why's it's been so popular for so many decades, because it's beautiful?

Anyone else know of any examples of PHI outside of nature and classic art, such as modern products?

Petey:

Credit cards use Phi, a kit kat bar if you leave teh 4 pieces connected together when you open it.

Meg:

Interesting...getting back on track...or maybe off it...I'm not sure. I liked the concept that the female entity was more on an even par in some mystical sense prior to Christiandom. I do not see in any specific teachings in the Bible that woman were banned from the ranks. In the old testiment there were references to women prophets. Paul did adresses the need to negate the Goddess Diane in the New testament if the greeks were ever to truely embrase Christianity. But many pagaen ceremonies were based on renewal which always centered on the woman and birth. Was that a niave attempt to understand the world by putting it into a comprehendible human condition, or was there some religious based reason for that. I have still not seen any info on the female deity reference from the book that was mentioned earlier. Any one have any info on that? I would have to agree that the modern church has segregated the sexes and don't agree that that was necessarily divinely inspired or correct to do...but I have to say that the things I have read about some of these peagan rituals and secret societies may have exacerbated the roll of sexual union as well. It seems that it is human nature to over emphasis the roll of sex in discussions and go to the extremes. Under induldge or overinduldge instead of just accepting sex as a natural act between two people ( not a group of people and not not at all). The one reference in the book that I thought was extremely weak was that of the Tom Cruise movie Eyes Wide Shut. That may have referenced the acts of a secret society but the premise was not at all about something good or sacred, but rather about raw sex and a feeling of residing above social morals. Which was not what a similar scene depicted in this book was all about. Disappointing reference. It seems we, meaning humanity, are always in a constant struggle over just how sexuality fits in with the world around us. I was told that one of the justifications in the Muslem world that forces woman to sit in the back behind men when worshiping is because woman distract men so if they are not in thier field of vision then men can keep thier focus on divine thoughts rather than their natural tendencies to wonder towrad illicit thought. What a kick...could it be true?

ozan:

the reason to see the phi everywhere is that it creates great shapes to look at..that is why the designers are always use it.

just look at the shapes on the link below...that might be a little heavy for some..
http://jwilson.coe.uga.edu/emt669/Student.Folders/Frietag.Mark/Homepage/Goldenratio/goldenratio.html

josh:

ya i have 2 friends that have read this book and talk about phi and how its in all living things but the fact is that the human body has so many joints and points of messurment that 1.618 is not that hard to achieve. i told my friends that im sure this golden number can be achieved in almost all things inanimate or alive. he said ok and pointed to my door and said ok then ill bet you, you cant find it in the door and it took 5 minutes and sure enough i got 1.6 it was 3 thousants off but still very very close. the bee thing that is kinda wierd but still intreguing but most things alive or not still have many things to messure. since a ratio is unitless that does not limit to a messure of length ether it can be waight mass nutrons for gods sake. but non the less phi is still kinda neet and im not so sure just becaue of a number one can say its proof a perfect god created everything and there is no such thing as natural selection and darwonism. if anyone has a cool idea to give me let me know my email is ehutchins@mma.edu

bryan:

PHI:1.6180339... phi:0.6180339...
PHI=phi^2 1/PHI=phi 1/PHI^2= phi^2 1/phi^2=PHI^2
PHI-phi=1 PHI/phi=PHI^2 phi/PHI= phi^2
PHI and phi represent the points of infinity in respect to 1 or the whole(universe). PHI being the ratio of the next frequency(reality,dimension) to the frequency we exist in and phi being the ratio of the previous frequency. When we find what our frequency is,we may be able to discover how to find these alternate realities.

bryan:

The pyramids on Mars contain a message of PHI and phi. It is no joke despite the efforts of science and NASA to paint the discoveries as a "trick of light". Celetial alingments of these pyramids with the stars of Orion took place 450,000 years ago according to Richard Hoagland of the Enterprise mission. Our understanding of the universe is minute thanks to the perpetual hiding of such information by the ruling elite. Does anyone really believe we need a base on the moon for the purpose of study. The elite are planning their escape from the coming pole shift that will be a direct result of the passing planet Nibiru in its 3600 year orbit. We will see a new equator when the wave stops and sea level regains. For proof of these statements try looking at some of the massive ruins that are being discovered under the worlds oceans. The story of Man is not new... we HAVE been here before.

Sharone:

I just finished reading the book, which I did in under two days because it was so engrossing. I was rather disappointed to find that the majority of the facts do NOT actually check out. Even though the theories and concepts introduced are facinating, especially the ones that hold true, you shouldn't suspend your disbelief so easily with books attempting to rewrite history.

Alexis:

I don't understand what the problem with the facts were. I thought the facts were pretty precise. However, the history of Christianity itself is questionable. Isn't that the case with many religions? We have to wonder exactly what happened in our past and try and take it all in... what we believe is up to us.

HOLLY:

I am so glad to find a place where intelligent people are discussing this book, because I am quite ordinary and wanted to know about the ideas stated in the book. It seems from the conversation that most of the ideas regarding the Bible and chritianity are pretty factual. I have been discussing the book with my children, who are strong chritian believers as I am, and we find it very interesting. We will still be strong christian believers after the book, but it does help answer some questions. Holly

Maeve:

The reference to the Jewish goddess (I'm just quoting an article I got off a Catholic website) was Shekinah. Apparently Brown stated that Jews in Solomon's Temple worshipped her alongside Yahweh. However, Shekinah describes God's relationship with his people, or God's presence.

Alexis, there were quite a few errors. Historical and scientifical. I suggest this site: http://www.catholiceducation.org/articles/persecution/pch0058.html

I'm delighted to see the "conversation" going on here over "The Da Vinci Code." The novel led me to expand my reading and surfing for information on many of the subjects the author brushed. I hope you all keep open minds on what you read, and remember that this is a work of fiction. The author's gift to us is not only entertainment, but the "itch" to expand our universe. I hope you all open your minds to what you find.

K.Outlaw:

I plan to teach a workshop for high school science teachers. Any suggestions on how to demonstrate PHI to them, besides those above?

Thanks
Facinating man, and his ideas

no one u kno:

i've heard of the book and it sound interesting, but i still don't see what is so beautiful about .618

Gena:

Brilliant book, excellent discussion. Does anyone know of any websites where I can find out more factually about phi.

Cheers Gena

Mentos breathmakers box from the corner of the hood to the bottom of the last mentos ---the ratio is 1.618 to one and they are really yummy

Bang:

i have no idea what just happened, but i was doing my chemistry homework, and i suddenly remembered the number 1.618 from this board, so i was wondering what the inverse of this number was... just for kicks and giggles... you know... so i plugged in the inverse and obtained .618047, which was so strangely close to the decimal part of 1.618... so put in

1/x = x-1 and solved for x and these are my results:

1.61803398875, or -.618033988750
the two results coming from the fact that when we expand the equation, we obtain a parabolic function.

so that's pretty wierd, eh? i bet my calculator can go further, but float 12 is the maximum (12 being the number of digits displayed) that i can go up to... i wish i can get up to float 30 or something and the rest of the digits.

OH and by the way, 1.61803398875 squared just happens to be 2.61803398875, which is 1.61803398875+1... pretty strange.

rooty:

i LOVE CORN. LOVE IT LOADS.
I measured a grain the other day... guess what - it has the ratio of phi!!! This is so bloody weird, i even tried this for different brands - it all figures out! - I know exactly how the universe was created now - i am SOCHESTA

rooty:

OH MY GOD! i ve done it again!. - this time i measured a BAKED BEAN. - same thing happened. - is this weird or what? does someone know what this means? i believe i may have the answer to Brofhgo

Jason:

Bang,

Phi+1 = Phi * Phi is the basic ideas behind the golden mean. Here is a great website that explains it very well. You might have to take out a piece of paper and actually try some of the stuff to really grasp it well.

http://www.vashti.net/mceinc/golden.htm

Scott Matichuk:

Quit being such a bunch of suckers! Readers of the Di vinci code should take it for what it is, a work of fiction with enough reality in it to make it believable. I would suggest that you read the newest Discover magazine article on Phi and may i also suggest that you read the new book, "the di vinci hoax".
A fanatic knows only one side of an arguement, a wise person knows both sides well enough to make an informed decision.

claudine:

I am in a college math class learning about "The Golden Ratio" It is the same number as Da Vince "CODE" or Phi... I learned LOTS of modern products are using the ratio for packaging. Because it is the most asthetically pleasing to the eye. THAT is how it is "beautiful", not the actual number. It is neat to see how many things do divide out correctly. My friend is reading the book, and was measuring co-workers, all sizes, and children, and the end number was always 1.61. The magic #...

jason, congrats. i was looking through the whole list for someone who new PHI ^ 2 = PHI + 1. being a mathematicion, phi, is much better than PI.

JonnyK:

This is absolutely amazing. Not only did this book spark the minds of so many individuals, but so many intelligent individuals. Great discussion. This search of mine on phi has answered so many questions, but leaves so many more. Answers are knowledge and knowledge is power.

Thank you everyone (even the bean measurer)

Rob:

That bloke is darn right. I'm only 14 and that has to be the best book I've EVER EVER read. MY God, I've never been so engrossed in a read before. I've even been furiously searching the internet for pictures of the Mona Lisa, Madonna of the Rocks and for some info about PHI and all of that other stuff. IFF YOU'VE NOT READ IT, DO IT NOW, IT'S A REAL EYEOPENER INTO DA VINCI'S WORLD AND DARK ARTS, AND NATURE AND ALMOST EVERYTHING!!!!

LunaMother:

What Wisdom is, and how she came into being, I will relate; I will conceal no mysteries from you, but will track her from her first beginnings and bring the knowledge of her into the open.
-Wisom of Solomon 8:22

Further info regarding Sophia can be obtained in several works.

vigie:

So much about the Phi and the geometric and biometric measurements in this book. Well, i'mjust wondering , did Mr. Brown forgot to include the Hidden Scrolls of Judas Iscariot in the Vatican? For sure , many Christians and pagans for that matter would be interested to know about that. Also , if the Vatican can print an English translation of it.... Arrrgh!!! Here in the Philippines , there is this one cult or Catholic predomination which tells about the Gospel of Saint Judas Iscariot in their Mass! Believe it or not !!!

Wow:

Great book. A lot of what he said about Mary M. has been on the History or Dicovery channel.

Thank you Scott - a voice of reason.

Numerology is a waste and has wasted many geat person's lives.

Katie, there are at least 7 senses. Look up proprioception and kinestetics. 5 holes on the face? Come on give it up. OR WoW! there are 32 teeth!!! GET it? 3 + 2 = 5 Yippie! And monkeys have 5 fingers ... and the united stated is "five oh states ... and 5 is the first prime number after a non prime number ... and 5 was in the last megamillion jackpot ... and 5.5 inches is the average white male's length (Blacks have 0.5 more than that) ... and channel 5 reception doesn't come in very well on my TV. Wow!

Technophreak, if you really were a mathematicion you would be a mathematician. Your's was no typo. Mastering 6th grade math doesn't count.

Bryan you freak me out. Please travel to another dimension. There is one between a steamroller and the pavement. Join the Darwin awards.
Btw: X equals X squared/X ALWAYS
However, if you were being cynical, I appologize.

Dave:

Its intresting to see how many people have been influenced by The Da Vinci code. Dan Brown touched base on so many sensistive subject in todays world. I dont think that he was trying to demean, or take away from Christianity, but to just open doors to other possibilities. It doesnt matter to me whether or not Jesus has decendants or whether he was married to Mary M. I think it matters more that he was still a real influencial person that walked this earth.... who else has done more "influencial damage" (its not literal damage... just the only work i could think of) in the last 2000 yrs? no one I can think of. More research should be put into this matter so people can know the truth.... it shouldnt change the religion... he is still the one to praise.... it should just change the church.... if it is all a hoax... then so be it.... if not... then the people who are deeply religious have the right to know. PHi on the other hand is just incredible.... I've consider taking further math courses on it just to see what its all about. I may be 20yrs old and highly influenced... but at least I know now to be more open about certain topics. I think I'm spouting off about something I'm not too educated on.... so I'm done!

Dave

Dave:

Its intresting to see how many people have been influenced by The Da Vinci code. Dan Brown touched base on so many sensistive subjects in todays world. I dont think that he was trying to demean, or take away from Christianity, but to just open doors to other possibilities. It doesnt matter to me whether or not Jesus has decendants or whether he was married to Mary M. I think it matters more that he was still a real influencial person that walked this earth.... who else has done more "influencial damage" (its not literal damage... just the only word i could think of) in the last 2000 yrs? no one I can think of. More research should be put into this matter so people can know the truth.... it shouldnt change the religion... he is still the one to praise.... it should just change the church.... if it is all a hoax... then so be it.... if not... then the people who are deeply religious have the right to know. PHi on the other hand is just incredible.... I've consider taking further math courses on it just to see what its all about. I may be 20yrs old and highly influenced... but at least I know now to be more open about certain topics. I think I'm spouting off about something I'm not too educated on.... so I'm done!

Dave

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This page contains a single entry from the blog posted on October 30, 2003 10:19 AM.

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