The Mysterious Golden Ratio

 

The golden ratio, also known as Phi (symbol or  ), is a numerical constant that equals approximately 1.61803398... Interestingly, the inverse of Phi (1/Phi) equals (Phi-1) or 0.61803398...
There are many ways to calculate the golden ratio. I have included three easy ones in this spreadsheet.   I first discovered Phi when my dad told me about a number sequence called Fibonacci (I’ll write more about this interesting sequence in a future posting).

One of the interesting things about the golden ratio is that it can be found everywhere around us if you know where to look. You can find it in nature, art, design, architecture, and math.  To help search for the ratio, I built a special gauge (with little help from my dad).  I can check for the golden ratio by simply placing the gauge over an item and extending it until it fits. 

   

After walking around inside the house and outside for about an hour, I discovered dozens of examples.  As you can see from the few illustrations below, it’s really easy to find them once you know what to look for.

In our bodies:
  

In architecture (King Solomon's Temple):  


In art:    

In design:    

In nature:


It is interesting how common the golden ratio is.  It is also interesting to see how often it’s used in our daily life.  For some reason, we chose it instinctively and we consider it “attractive”.  When I asked my mom why she placed the handle on her mugs using the specific proportions that she does (see mug below), she said that she did not know, that it just felt “right”. 



Perhaps beauty is not a personal preference after all. Maybe what most of us consider to be beautiful music, art and architecture have simply been programmed into the universe and by extension into us from birth.

P.S. That charming amigurumi mermaid doll above in the design section was made by Yael. Check out her incredibly well balanced and perfectly proportioned blog: PazzaPazza. It’s wonderful!