The Golden Section / Golden Ratio
GoldenNumber.Net explores the appearance of Phi, 1.618 (also known as the Golden Ratio, Golden Mean, Golden Section or Divine Proportion, in mathematics, geometry, life and the universe and shows you how to apply it, and its applications are limitless:
- Art
- Architecture
- Design of any kind – Graphics, logos, products, fashion, web sites and more
- Photo composition, photo cropping matting and framing
- Personal beauty and facial or dental cosmetic procedures to enhance beauty
- Stock market and FOREX analysis
The Golden Section is a ratio based on a the number Phi, 1.618…
The Golden Section or Ratio is is a ratio or proportion defined by the number Phi (= 1.618033988749895… )
It can be derived with a number of geometric constructions, each of which divides a line segment at the unique point where:
the ratio of the whole line (A) to the large segment (B)
is the same as
the ratio of the large segment (B) to the small segment (C).
In other words, A is to B as B is to C.
This occurs only where A is 1.618 … times B and B is 1.618 … times C.
This ratio has been used by mankind for centuries
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| The Greeks recognized it as “dividing a line in the extreme and mean ratio” |
The Renaissance artists knew it as the Divine Proportion |
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| and used it for beauty and balance in the design of architecture, perhaps as early as the Parthenon |
and used it for beauty and balance in the design of art |
It appears in the design of Notre Dame in Paris
and continues today in many examples of art, architecture and design.
It also appears in the physical proportions of the human body, movements in the stock market and many other aspects of life and the universe.
Dr. Stephen Marquardt has discovered a template for human beauty using the Golden Section, with obvious relevance in the plastic surgery industry. Marquardt’s analysis takes ethnicity into account, and illustrates variations that are are both numerous and subtle.
See the other sections and pages of this site listed above and to the right for a broad sampling of the many appearances and applications of the golden ratio.
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This is good stuff – I have been trying to find a good source to educate myself in the concepts of sacred geometry, looks like I have found it!
Get Robert Ludlow’s book “Sacred Geometry”. It’s a brilliant primer and workbook on the subject
Instructive and interesting
Awesome
love this site
The golden ratio is unique and amazing because I think it is somewhat like a snake biting its own tail which is part of the symbol of world in Taros. Euclid defined this ratio as follows: If we divide a line such that the ratio of the small portion to the large one is equal to the the ratio of the large portion to the whole line. I think it is like the snake and it represents the harmony and beauty of the multiverse which has no origin and ends.
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