Originally posted by mikromarius
All this muttering about Phi being so universal. BS. It is Pi which is universal. Phi is just Pi in time and Epsilon, the cell division constant. Phi
is limited to this world, which is created as an image of Man within the Image of God. The BS that you can see Phi in spiral galaxies etc is just
silly, I think. It's not phi, it is Pi and revolution. Before the cell starts dividing according to this terrestrial beauty concept which is limited
by such things as gravitation, oxygene level etc, it is round: Pi. Pi is concept, Phi is just one of millions of possible spirals visible in our
world. It is limited to biologically created stuff. Perhaps the next world will divide it's cells according to a totally different spiral concept.
Phi is a product of creation. Pi however is the ultimate perfect. As perfect as a perfect circle. It is eternal, but still it can be drawn by a child
in a second. A spiral can never be completed unless you are God who is the beginning and the end. Well that's how I understand it anyway.
Edit: you can infact draw a perfect complete spiral: the number 8 which is basically two spirals intersecting eachother...... Would be much easier to
visualise this in 3D I guess. Have to wait until I get a G4 with Maya I guess (drewl drewl)....
[Edited on 29-12-2003 by mikromarius]
Mik, I'm shocked you would make such a mistake as this!! You need to study up on what PHI and PI are a bit more. Both of them are in fact found
throughout the micro and macro universe. PHI is NOT limited to this world or any such thing. Nor is it BS, it is just Mathematics, like it or not.
There is no battle between PI and PHI either and do not get offended by any Religious implications either.
PI: A transcendental number, approximately 3.14159, represented by the symbol, that expresses the ratio of the circumference to the diameter of a
PHI: aka(Golden Mean Spiral, Golden Ratio, Golden Section) PHI=1.618033... (phi=0.618033...)
Golden Mean can be assumed to be either one of two values:
PHI = 1.61803...
phi = 0.61803...
The Golden Mean, the number, is the only number in which, among other things, satisfies the mathematical relationships:
PHI = 1/PHI + 1 ; phi = 1/phi - 1
phi = 1 + 1/[1 + 1/[1 + 1/(1 + 1/[1 + 1/[1 + 1/(1 + ...)]])]]
One of the characteristics of the Golden Mean Spiral is that it continues on in ever diminishing spirals.
The Fibonacci sequence possesses a unique property. Different from the Golden Mean, the Fibonacci begins at 0 or 1 but quickly approximates the Golden
Mean with ever increasing accuracy. The Fibonacci sequence seems to be strongly attracted to the Golden Mean Sequence (phi ratio) and attempts to
approximate the phi ratio (1.6180339…). This accuracy increases until it asymptotically reaches its limits. At that point, one could not tell the
difference between the two spirals except at or near the beginning points. Understanding this aspect of the Fibonacci is crucial.
This characteristic of the Fibonacci (always attempting to approximate the Golden Mean with greater accuracy) can be used as a metaphor for our human
condition, which will help us gain deeper insights into the nature of spirituality.
If the Golden Mean is used as a metaphor for spirit and the Fibonacci is used as a metaphor for physical incarnation (spirit incarnating into the
physical and attempting to perfect itself to the ideal), then metaphorically, our physical incarnation begins as a Fibonacci life form.
Sacred Geometry is made up of ALL of these. They are all important.
Pi - ( ) - 3.1416... : 1 - Pi is found in any circle. If the diameter is 1, the circumference is 3.1416 (C = D).
Square Root of Two - (2) - 1.414
Square Root of Three - (3) - 1.732
Square Root of Five - (5) - 2.236
Phi - (Ø) - 1.618 : 1 - Phi is the Golden Section of the Greeks. It was said to be the first section in which the One became many.
Start with this!!