Same thing essentially.
I feel you are a bit confused about how the Fibonacci and phi are related however...some bullshit and some bullSeyeS. 
They are essentially the same thing. 
phi = Fibonacci...
phi is a RATIO, and an irrational number.
pi is also irrational...
I shall serve pi with a little 'T' later.

Fibonacci are a subset of the Lucas numbers, AND that is important to realize too.
Because the Lucas numbers start with 2, 1, NOT 1, 1,
Understand?
Easy enough to go to the next level also just by asking you to finish both of those series, and then taking the ratios of the numbers in the series.

You do the Lucas numbers.
What did you get?...do the first 10 terms.
The first TEN terms with the Fibonacci series can be either 34 or 55, it ALL depends if you start the series with 0 or 1. 

i.e. 
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 etc...
NOW take RATIOS starting with 
1:1 = 1
2:1 = 2
3:2 = 1.5
5:3 = 1.666
8:5 = 1.6 this was/is an early reference to the phi ratio a.k.a. GOLDEN RECTANGLE
13:8 = 1.625

...>>> cut to the chase...

144/89 = 1.67977528 ... to infinity and beyond 
...first nine digits are part of the TOY STORY 

Note: 144/89 is starting to approach the GOLDEN MEAN, the GOLDEN phi RATIO determined to be...1.61803398...to infinity and beyond....again 
So note as the RATIOs involve bigger and bigger numbers the FLUCTUATIONS become less and less 'severe'...and that I believe is GOOD news. 
I used positive=RED and negative=BLUE to represent the two 'polarities', an archetype we cannot ignore in the electro-magnetic field of pairs and opposites.

phi = 

phi =1:1 2:1 3:2 5:3 8:5 13:8...144:89

Best way to learn REAL fast is by using correspondences, the art of analogy. Heaven above = Heaven below ARKetypal sleuthing.
Easy enough to learn the meaning of the caduceus relative to quantum physics, marko rodin, nassim haramein, and a host of other irrational folks throughout history who have battled with these eternal irrational concepts, trying to box them in primarily using rational logical LEFT Brain hemisphere thinking and tinkering, causing all kinds of chaos as a result...
 truth is truth is truth is truth

Time to introduce RIGHT BRAIN solutions for LEFT BRAIN tinkering gone wrong.
Marko, NaSSim, and mi are on the same wavelength.
Just different languages, all offering VALUABLE bits and pieces.
But I do know of at least three or four (at least) other fellas (gals) that SHOULD be introduced to Marko and NaSSim.
Other OBVIOUS and most auspicious 21st century *Gospel* writers who bring pieces to the Emerald Table for inspection.
Harbingers of a new age...
Marko and NaSSim are miSSing ONE valuable piece.
I know the he/she to help with this.

i.e. 
The archetypal creation filled with ARKS to float on, or smaller sacred treasure chests that are filled with hope can best be interpreted through the living heARTS, with science and religion playing vital roles... 

Simply by realizing, acknowledging that symbols can be approached from more than ONE direction  opens many doors, and do not forget to bring along a MIRROR or a mask.
I have come to the conclusion that the creation is not unlike a huge Disneyland filled with archetypal puzzles, games, tricks, mirrors, and even rides that eventually come to a stop.
This place does exist.
It is quite fulfilling and far more challenging to play along than just reBLEATing a script (handed down), that tells me how I must play the game or else...

Rotated 90 degrees ANTI- or COUNTER-clockwise orthogonally ....the Caduceus is thus easier understood.
Once rotated now just imagine what you have before you is an X and Y axis.
And what we have are two sine waves that are in fact representing the TWO phi spirals....ONE spiral is moving from LEFT to RIGHT...toward the TWO HANDs and the other spiral could be considered to be moving from RIGHT to LEFT away from the hands.
This is very similar to DNA structure, in that DNA has two ribbons instead of serpents....and the wand of DNA would be the rungs comprised of ACGT that exist between the two ribbons/serpents.

Thus you have one spiral moving inward and the other spiral is moving outward.
Here you have in all its simplicity an action FOUND on all levels.

Please note the Caduceus:
In the beginning the wave fluctuations beginning on the LEFT are based on ratios involving smaller numbers, giving bigger fluctuations between successive ratios, i.e. the rise of the AMPLITUDE is high up the 'y' axis.

Starting where the BIRD is on the LEFT...moving toward the TWO hands on the right is exactly the progression we see above in regards to the RATIOS of TWO numbers ... as we move along the x-axis to the right >>> the TWO spirals/sine waves fluctuate 

leSS and leSS and leSS and leSS and leSS and less and less and for what might seem like an eternity...however NEVER touching down on that LINE....getting closer and closer to 'god' and becoming 'one' with the phi line?
Know what I MEAN in a golden way?
Ah such frustration...I am so close to the line I can feel it, I can feel the pulse, the heARTbeat of something quite divine... 

And it would appear that IF you do indeed become a part of the phi ratio and join the GOLDEN MEAN LINE, you will now join in with those TWO HANDs and have some control over the magic WAND?

Thus it becomes quite clear that the magic WAND = phi ratio 1.61803398 

**Trust me too when I suggest you must familiarize yourself with the Lucas numbers to play along... 

All you NEED to realize about these concepts is we are establishing RATIOs.
Both the Lucas and Fibonacci numbers are all about establishing the RATIO.
Do you know what I MEAN by suggesting we start out with a GOLDEN MEAN progressing to the GOLDEN RATIO, which builds GOLDEN TRIANGLES, GOLDEN RECTANGLES and GOLDEN SPIRALS....and of course the spiral becomes a GOLDEN HELIX in 3Dimensions.
And of course the GOLDEN HELIX or the HOLY Grail is your DNA. 
HOLY GRAIL found in ARECIBO Message
http://kachina2012.wordpress.com/200...ecibo-message/

So yes we are closing in on the language.
hiSS?

Bottom LINE...the one I have found...is that YES, the creation was designed to be interpreted as child's play, and it is really IS best interpreted that way....the creation can be understood by children IF we as ELDER's know how to awaken the spirits within them, and not kill them with dogma and lies still being handed down...
They arrive with a blueprint. 
As elders we assist them in building their OWN temples, that fit nicely into all the others...

3x3 Lo Shu magic square OR tic tac toe?
5x5 Knight's Templar Magic Square is a solution for RIGHT brain hemisphere quantum 'WAVE' or serpentine theory 'SSS' = thrice GREATest = xyz axis, a theory that the NEO-lithic spiral cultures were immersed in IS what we can expect in the VERY VERY near future...
I am currently working on breaking the Knights Templar code found in Pompeii, in a culture that predates the Knights by 1000 years... 
7x7 is a CHINESE solution for the Pythagorean theorem, that appears to be from the same 'era'.

marko rodin and the enneagram = scottish freemasonry?
http://www.davidicke.com/forum/showp...6&postcount=58
marko rodin, fractals, the mandelbrot set and swastikas?
http://www.davidicke.com/forum/showp...8&postcount=67
cymatics and SOUND and xyz?
http://www.davidicke.com/forum/showp...2&postcount=82
how the SS = Holy Spirit = marko rodin and 25 or 52 with rotations and reflections?
http://www.davidicke.com/forum/showp...3&postcount=90

8x8 is the solution for pi, it is the game of cheSS, and it is also the 8x8 Magic Square of Mercury,and we find the 64 hexagrams of the I-Ching and the 64 Codons that comprise all DNA codes?
All of the above is played on a CHESS board.
And cheSS is a game you can play equally well with only one eye.
Would the Eye of Horus, the Wedjet, and the ratio 63/64 be connected in some way to these archetypal time-leSS clues?
Is that little lowly 1/64th square of the chess board that the 'BUILDER's LEFT OUT'? 

The Garden of Eden IS quite the playground of the mind...
enjoy those thinks...

namaste

There is something interesting about "√2", which is why Stan Tenen had great issue with Dan Winter ripping off and misrepresenting his work as related to "Phi".

The phenomena in question is this:

√2 = 1.4142135623730950488016887242097... = R

(R - 1) = 0.4142135623730950488016887242097... = E

(1/E) - 2 = E

This is related to a "geo-synchronous orbit" or "escape velocity" in a gravitational system.

It's also the origin of the spiral shape under the Wadjet (or ""):



It is not a "phi" related spiral. It is a "√2" related spiral.

I find it strange that a reciprocal (1/x) relationship is equivalent to adding or subtracting the number 2. Let's investigate further.

This analysis seems to link √2 to a "doubling" series (or at least a factor progression of 2 = 0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ...etc.)

NB - note that the number "1" is missing from the series... perhaps this echoes the "1/64" missing fraction of the Wadjet:



(1) = 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 (+ 1/64 missing from the eye)

The "Golden (Phi) Spiral" and related spirals are called a "", whereas the one involving the √2 reciprocal is called an "".
The former tend to be "static" and the latter "dynamic" when found in Nature.

I found something relating these Spirals to Fluid Dynamics, Gravity and Coriolis Forces (involved in some of Nassim's Physics papers):

r = a + b θ
r/r= [a + b θ]/r
1 = a/r + (b θ)/r

eg,
a = 4
r = 2
b θ = (-2)

where:
r is the radius (distance from locus),
a is the increment of radius (for a given increment in angular displacement),
b is the proportional factor of the angular tracing (θ) of the spiral around the locus (with respect to r)

Then we can say,

(1/E) - 2 = E
(1/E) = E + 2
1 = E^2 + 2E
1 = 1/(E^2 + 2E) 
1 = (1/E^2) + (1/2E)

(1/E^2) + (1/2E) => (a/r) + [(b θ)/r]

Then, solve to find the required parameters for this particular Archimedean Spiral (E = √2 - 1).

More on the Logarithmic/Archimedian Spiral discussion from Stan Tenen can be found:

Golden Mean Spiral
Golden Mean Spiral - Addendum
Asymmetric Spiral (r θ = 1)

sadukan.

PS If we take Stan Tenen's suggestion (r θ = 1) we end up with,

θ = (1/r)

Now substitute into our previous analysis:

(1/E^2) + (1/2E) => (a/r) + [(b θ)/r]

1 = (1/2E) + (1/E^2)

1 = (a/r) + [(b/r)/r]
r = a + (b/r)

Identical to the form of the original equation:

E = (1/E) - 2
r = a + b θ

so,
a = (-2)
b θ = 1/E

thence,

E = √2 - 1 => r = a + b θ

where,
θ = √2 + 1

√2 = θ - 1
√2 = E + 1

1 = [(θ - 1)/√2] + [(E + 1)/√2]
1 = (1/√2).[(θ - 1) + (E + 1)]
√2 = (θ - 1) + (E + 1)
√2 = θ + E
θ = √2 - E = 1

(r θ = 1)
(E θ = 1)

1 = E√2 - E.E
1 = r√2 - r.E

(E√2 - E.E) = (r√2 - r.E)
(√2 - E) = [r√2)/E] - r

(√2 - E)/r = [(√2)/E] - 1 = 1 + √2

r = √2 + 1
(√2 - E)/(√2 + 1) = 2 + √2
1/(√2 + 1) = E

iff:
r = 1/E
r = E+2

(radius (r) is a factor 2 series of E)

E = √2 - 1
E = r - 2
(r - 2) = [1/(r - 2)] - 2

r(n) = 1/(n - 2)

Wolfram|Alpha gives this graphical representation,

which gives us the required spiral:

eg,

0 = 1/(-2) = (-0.5) (electron, ie zero radius???)
1 = 1/(-1) = (-1) (whitehole???)
2 = 1/(0) = singularity (blackhole???)
3 = 1/1 = 1
4 = 1/2 = 0.5
5 = 1/3 = 0.333...
6 = 1/4 = 0.25
7 = 1/5 = 0.2
8 = 1/6 = 0.166...
9 = 1/7 = 0.142857...
10 = 1/8 = 0.125 
etc...





NB - the plot crosses the axes at two points: 2 and 0.5 (doubling/halving).

PPS I intentionally left off the factor of pi for the part of the angle, to make it easier to follow the argument.
I didn't really want to get into trigonometry, as I think that would just complicate things further.
It's a simple ratio relationship anyway:



PPPS Also, since I haven't done anything like this for a while, for those of you who are able to follow, you might like to check the validity of the foregoing analysis.

PPPPS The above sequence is known as a divergent with associated .
It then also links in to Riemann's - ζ(1) for the Harmonic Series - which is related to Prime Numbers; implying the unsolved .

"over it is 19"[74:30]
(DiYu - 18 Levels of Hell)
Philip LeMarchand

Welcome to the thread, MihrYazd...

Here's a wee bit more research compiled on 37 and the Lo Shu Values: