I was watching a Bones rerun recently and the lead character made a statement about a women that her partner was involved with stating that her face was within the Golden Ratio, and through out some mathematical summary. I had no idea what she was referring to, but knew it had something to do with beauty and symmetry.
Yesterday, I decided to research the term, and found a wealth of information about the Golden Ratio on the internet, including Wikipedia, where I learned that it is all about math...the math of beauty and nature, and that it has been studies and used for more than 2400 years. It dates back to ancient Greece, and was used by some of the philosophical and mathematical greats, including Plato and Philiads. The go den ratio is seen in the Parthenon statues and ancient Greek archetecture.
Aesthetically speaking, the Golden Ratio yields pleasing, harmonious propotions in human anatomy as well as in architectural design. Many of the proportions of the Parthenon itself are alleged to exhibit the Golden Ratio.
Fascinated by what I discovered, I set out to find a Golden Ratio drawing of the human face since it was used to describe someone, and see who I measured up to this mathematical design. I found a mask-like drawing of both male and female ratios, downloaded it and used it as an overlay on a photo of myself. To my great surprise, there was almost a perfect match, for which I can thank my mother and father. Genetics provided me with mathematical symmetry, at least facially. There is mathematics that apply to the body as well, but we'll leave that one alone for now.
It is also noteworthy that since I was 18 years old, I have been unexplainably drawn to the number 1111. I have always had an almost overwhelming since of peace whenever I see it, which is quite often. I discovered this morning that it is not just a mere number, or the attraction to the symmetry of that number in my brain as explained by an astrologer friend of mine, but is part of the Golden Ratio. Here is the math:
Yesterday, I decided to research the term, and found a wealth of information about the Golden Ratio on the internet, including Wikipedia, where I learned that it is all about math...the math of beauty and nature, and that it has been studies and used for more than 2400 years. It dates back to ancient Greece, and was used by some of the philosophical and mathematical greats, including Plato and Philiads. The go den ratio is seen in the Parthenon statues and ancient Greek archetecture.
Aesthetically speaking, the Golden Ratio yields pleasing, harmonious propotions in human anatomy as well as in architectural design. Many of the proportions of the Parthenon itself are alleged to exhibit the Golden Ratio.
Fascinated by what I discovered, I set out to find a Golden Ratio drawing of the human face since it was used to describe someone, and see who I measured up to this mathematical design. I found a mask-like drawing of both male and female ratios, downloaded it and used it as an overlay on a photo of myself. To my great surprise, there was almost a perfect match, for which I can thank my mother and father. Genetics provided me with mathematical symmetry, at least facially. There is mathematics that apply to the body as well, but we'll leave that one alone for now.
It is also noteworthy that since I was 18 years old, I have been unexplainably drawn to the number 1111. I have always had an almost overwhelming since of peace whenever I see it, which is quite often. I discovered this morning that it is not just a mere number, or the attraction to the symmetry of that number in my brain as explained by an astrologer friend of mine, but is part of the Golden Ratio. Here is the math:
The formula φ = 1 + 1/φ can be expanded recursively to obtain a continued fraction for the golden ratio:[59]
![\varphi = [1; 1, 1, 1, \dots] = 1 + \cfrac{1}{1 + \cfrac{1}{1 + \cfrac{1}{1 + \ddots}}}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tDwl_QFsz0vEVhl_qfuJd_ALnC51ioOBduemB3cKqK6HC_hphuQKLp-bCAdNr8o0DA7sZMd3RxigqJfW0K1dxsUZCAIi0s67CP-COqlpYdOHbD7WbVebX_xtNeO3T85b2su9W8nz1hqWqrdQto-w=s0-d)
and its reciprocal:
![\varphi^{-1} = [0; 1, 1, 1, \dots] = 0 + \cfrac{1}{1 + \cfrac{1}{1 + \cfrac{1}{1 + \ddots}}}](https://lh3.googleusercontent.com/blogger_img_proxy/AEn0k_tgZJjzhGXtk80ahz4VwvNyyr_g8Z3bQVVZQVeiXV_oOrqOywnk2mqog3HIChfLD7MdhIwUykYELM0BOzjNLdFLMohleykuLYrJunYJnIWFTvcZjLLj-ukURW7VXGKLcfMTABxeU6A3VPBOjUob=s0-d)
The convergents of these continued fractions (1/1, 2/1, 3/2, 5/3, 8/5, 13/8, …, or 1/1, 1/2, 2/3, 3/5, 5/8, 8/13, …) are ratios of successive Fibonacci numbers.
The equation φ2 = 1 + φ likewise produces the continued square root, or infinite surd, form:
- IT'S ALL OVER THE PLACE! I don't know what it all means, but I am connected to it, absolutely. I think it connects all of us in some way, but I don't know how yet. I will explore further and let you
- know if I figure it out. In the meantime, I will enjoy my Golden Ratio mask image as it makes me look like a superhero.
- Love to you all.
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