Golden Ratio :: Evidence or Coincidence of intelligent design?

Lets run through what we do know about Phi and the Golden Ratio, the Pentagon, Pentagram, Decagram, Decagon and Dodecahedron are all related and fit together like a glove, but only by using ten points in a circle, not five, but this doesn't complete a master key shape, but does give a 3D dodecahedron in the centre:-

a reply to: Astronomer62

Why are the following equations integrated into the
behavior of many living things?:

Fibonacci ( n ) = F ( n-2 ) + F ( n-1 ) , where F(1) = F (2) = 1.
Golden Ratio = ( 1 + squareroot ( 5 ) ) / 2 = approximately 1.618.

The ratio of each successive pair of Fibonacci numbers in
the sequence approximates Phi.

The human X chromosome inheritance tree and
the bee ancestry code follow the Fibonacci sequence.
The spiral in a seashell includes the Golden Ratio in
it's spiral.

Throughout early human history depictions of symbols
were important and clues have been left by the (
Mesopotamian and Gobekli Tepe carvings) civilizations:

The Persian civilization.
Ancient Greek Civilization.
Chinese Civilization.
Mayan Civilization.
Ancient Egyptian civilization.
Indus Valley Civilization.
Mesopotamian Civilization.

a reply to: ThatDidHappen

Hi ThatDidHappen,
Another way to put Phi is 5^.5*.5+5. a lot of the shapes generated are to the power of five anyway!
There are scientists that feel that the Cosmos is shaped like a Dodecahedron, but isn't yet proven, however Plato thought the same thousands of years ago!
physicsworld.com...
The Golden Ratio has been found in solid state matter as shown on link below:-
www.sciencedaily.com...
If you attach a Golden Spiral to its mirror image you will find you get a cardioid, very like the first sequence of the Mandelbrot Set:-
en.wikipedia.org...

a reply to: Astronomer62

That is very interesting, as the fractal space is infinite,
generating a new fractal image at every point. The
Mandelbrot set was discovered just within the last 100 years.
It mimics well images of living things such as leaves and
trees. Perhaps this is because it's relation to the cardioid
and phi.

The Platonic solid has 12 faces. I do not think it matters
which way the Hubble ultra deep field telescope points or
changes it's attitude, in the sky, it will see the same as in
any direction, far galaxies. There may be a list of suitable
attitudes for Hubble to look through.

this thread can be likened to a puddle wondering if the hole it was collected in was engineered for its sake. in truth, the golden ratio is just another example of how natural selection applies to physics as well as ecology. the more mathematically viable, the more statistically probable.

a reply to: ThatDidHappen
Hi ThatDidHappen,
The Cardioid in The Mandelbrot Set is some times called "The Thumb Print of God", however how long the sequence of visual fractals go, it always comes back to the same cardioid, but never is able to explore inside, it just appears as a black shape. This baffled me for years, and although there are spirals involved, i was looking for concrete evidence of connection to Phi.
Mario Livio was from 1991 till 2015 an astrophysicist at the Space Telescope Science Institute which operates the Hubble Space Telescope, some of his books are a fascinating read, "The Golden Ratio, The Story of Phi, The World's most astonishing Number" and "Is God a Mathematician".
en.wikipedia.org...
The Logarithmic Spiral is a close approx. of Phi which shows the relationship with the Nautilus shell, Cyclones and Spiral Galaxies:-
en.wikipedia.org...

A link to Mandelbrot visual math below:-
www.youtube.com...
I am an astronomer, so was aware of the retrograde motion orbit of Venus, that traces a cardioid and a pentacle in the sky, however this is an illusion by the Earth and Venus in orbit around the Sun, but having different orbit speeds.
www.youtube.com...

a reply to: TzarChasm
Hi TzarChasm,
Obviously Phi is controversial, and i understand your point of view, the reason that i have brought this thread back to life concerns my research into fractals and Phi and finding a shape that will include a pentagram, pentagon, decagram, decagon dodecahedron and a Cardioid that applies to both the Mandelbrot Set and the Golden Ratio.
This area of math could help explain growth patterns in nature, so i am looking for a master key for fractals, and will show this design soon.
A few years ago another shape was invented by a math teacher, it was called the Harriss Spiral, however i thought i could do much better:-
www.geogebra.org...
Actually the key to this is on link below, lets see if any one can work out the master key, i will pause here:-
mathworld.wolfram.com...

a reply to: Astronomer62

I haven't gone into the details, but this video from Klee Irwin of Quantum Gravity Research may be interest to you:

a reply to: Astronomer62

I am unsure what you mean by master key...and growth patterns in nature? do you mean non organic or biological patterns? atomic or synergetic? they are all based in the same fundamental laws that dictate the fabric of reality. as above so below.

originally posted by: ThatDidHappen
a reply to: Astronomer62

That is very interesting, as the fractal space is infinite,
generating a new fractal image at every point.

Exactly. The phi ratio has an infinite number of non-repeating decimal places. So does Pi. To imagine it is accidental is persistent atheism. There is nothing that will suffice for those that are so stubborn.

a reply to: cooperton

So what?
There are more such irrational numbers than not.

originally posted by: Phage
a reply to: cooperton

So what?
There are more such irrational numbers than not.

Pi and Phi being ubiquitous in nature is an indication of an infinitude of coding into reality. Spheres, human proportions, branching patterns, etc

a reply to: cooperton

Pi and Phi being ubiquitous in nature is an indication of an infinitude of coding into reality.

Quite a statement.

Do you think there is something magical about pi? Or circles? You know that pi is the ratio between the circumference of a circle and its diameter, right? Nothing more, nothing less. So, if you have a circle, you have pi. That's not coding into reality. That is reality.

How about squares? Triangles? They have self consistent properties. Are they indications of infinitude of coding as well?

a reply to: Phage

Fibonacci sequence gets used a lot 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610

They get rarer and rarer..

originally posted by: Phage
a reply to: cooperton

Pi and Phi being ubiquitous in nature is an indication of an infinitude of coding into reality.

Quite a statement.

Do you think there is something magical about pi?

I am emphasizing the mathematical implications of having irrational numbers being the core components of natural structures. Even an intelligent human attempting to create an irrational number would eventually write/type a repeat decimal sequence. The coding of this universe is fascinating.

Sure we could blindly say it's all coincidence, but even that is part of the endless capabilities of our imagination.

a reply to: Cauliflower

Fibonacci sequence gets used a lot

Yeah. Some. Not sure about "a lot."

There are certainly a lot more cases where it doesn't occur than it does.

a reply to: cooperton

I am emphasizing the mathematical implications of having irrational numbers being the core components of natural structures.

It would be more intriguing if the rules were based on rational numbers. One might think.

originally posted by: Phage

It would be more intriguing if the rules were based on rational numbers. One might think.

Rational numbers are finite, irrational number are infinite. There is more data in an irrational number.

a reply to: cooperton

Rational numbers are finite,

False. There an infinite number of rational numbers.