Not just a number
The most intriguing thing about the golden ratio is that it seems to be omnipresent. That is, it can be found almost everywhere we look. From the structure of DNA to the proportions of bones, shells, bodies and faces of every living and extinct creature you can think of, including humans.
There are endless examples of Phi throughout the universe. Whether we look from the micro to the macro scale we'll see a manifestation of the golden ratio in one form or another.
Golden ratio found at quantum level
It's not hard to find examples of the golden ratio in historic symbolism either. Probably the most significant being the pentagram. Only in recent times has its image been tarnished by Hollywoods insistence on associating it with evil. In fact it was once a Christian symbol representing the five wounds of Christ and is still today used by many cultures and religions. The simple fact that the golden ratio is integral to it's construction is what makes it special.
There is also plenty of information available on the web about the application of the golden ratio to art and architecture and no shortage of images of phi in nature. Just do a quick search and you will be amazed at what you find. Search the golden ratio, golden number, golden mean, divine proportion, Phi, golden rectangle, golden triangle and the golden spiral just to name a few.
Phi was at the forefront of the minds of those who built the pyramids in Egypt, the Parthenon the coliseum and the Taj Mahal and there are many more examples of ancient cultures understanding and consequently incorporating Phi in architecture and art.
The illustration below shows simply, one of the amazing properties of the golden ratio.
It can only work with that number, 1.61803398875 etc.
Think about it.
If a = 1.618 then b= 1 or If a = 1 then b = 0.618
Then and only then a+b will be 1.618 when a = 1
Or a = 0.618 when a+b = 1
It is always the same, no matter the length of the line.
Even everyday items incorporate the golden ratio in their design. Whether or not this is accidental or for aesthetics or even functionality is up for debate. Either way you will find it in more places than you'd expect.
More content coming.