Firstly, I must apologize for being unable to put into context exactly why I adore this number above all others. To explain very briefly, I would say it's properties are simply unbelievable. Also known as Phi, or the Golden Ratio, it has an uncanny way of appearing in the strangest places. .
To put it simply, an object or image that has the dimensions of Phi is said to have the most visually appealing dimensions. An example would be the Golden Rectangle, (which is the only rectangle that can form into itself in a mollusk-shell shape until infinity - see below in Fibonacci Numbers section) or the Golden Section. (a line cut at "an extreme and mean ratio" - see below) Note how these simple shapes (i.e. the mollusk- shell,) appear most frequently in nature - snail shells, and even apple-seed stars that form a pentagram, have proportions to Phi.
Geometric shapes of these (Golden Ratio) dimensions can also be found in magnificent works of art - and most mathematicians agree, they are magnificent because of their dimensions! Even in the human body, the closer your body's dimensions are to the Golden Ratio, the more beautiful you are. For example, if the ratio of the length from your feet to your navel, and from your navel to the top of your head is equal to Phi, you have the ideally proportioned height! Theories of this sort have just started to come out, (in the 21st century!) and are being used in corrective surgery. .
Plato (428/427 B.C. - 348/347 B.C.) saw these geometric shapes of the Golden Ratio, (also known as the Platonic Solids) as universal shapes of extreme importance. I personally agree.
For more information on this incredible number, see The Golden Ratio by Mario Livio. .
This proportion, which is now referred to as the "golden ratio," is the ratio of 1.618:1. Using this ratio, "golden shapes" can be built. For example, a golden rectangle consists of a width to height ratio that is the golden ratio. ... Today, the golden ratio is a common part of society. ... Furthermore, human beings are full of golden ratios. ...
Ratios such as the Golden Mean have been seen everywhere in architecture of the past, and even in the design of modern buildings. ... We find that the ratio of one number in the sequence to the previous number in the sequence approaches the Golden ratio. ... Butusov established that the ratios of the adjacent planets cycle times around the sun are equal to the Golden Mean or its square. ... The Golden Rectangle is just a rectangle with the ratio if its width and height equaling the Golden Mean. ... Not only was this ratio ...
This is termed the golden ratio, and is often represented by the Greek letter phi. It is believed that the Fibonacci numbers and the golden ratio both play a significant role in nature and architecture. It is also believed that famous artists and musicians such as, Mozart and DaVinci, followed the Golden Ratio when creating their works. ... I don't think the Golden Ratio was considered during the composition of Beethoven's Fifth nor do I believe that our hand is composed with the thought of Fibonacci numbers. However, when I was looking for a topic, I found several sights t...
Now that the link between Golden Ratio and Fibonacci series has been established, it is time to see how those two relate to the most random in this universe nature, and to the most unexplained in the universe - beauty. ... What one needs to understand is that the Fibonacci Sequence, Golden Ratio, and even vaguely related topics such as Pi were not invented, they were observed. ... For example, why is the Golden Rectangle, a rectangle with ratio of sides 1: µ, appealing to the eye? ... It seems almost certain that they used magical properties of the Golden Ratio in the design of their grea...
Findings. 3.1 Ratio Analysis According to Southworth, J (1997) financial ratio analysis is the calculation and comparison of ratios, which are derived from the information in a company's financial statements. ... Profitability ratios, liquidity ratios, working capital efficiency ratios and investment ratios will all be a part of an in depth analysis of Dickie Dirt's financial situation. 3.2 Profitability ratios. ... The four ratios that are used under working capital efficiency ratios are concerned with spending and saving money at the right time in the right place. ... The fir...
Via Bering land bridge formed during the Ice Age, the bears arrived in North America from Eurasia before human being migrated to America (Storer and Tevis, 16).The habitat in California for the bears was a paradise because of the rather sparse population of the Native Americans, Indians, causing an interesting bear-to-man ratio 13-to-1 (Storer and Tevis 17 & XV). However, after the white men invested California, the ratio dropped greatly. ... The bear is celebrated in name such as the Training Ship Golden Bear. According to CAL MARITIME website, the Training Ship Golden Bear is operates by the...
He discovered the role of Golden Ratio in human face and applied it in his most famous artwork, Mona Lisa. As we all know, Golden Ratio can be explained by math, therefore, we can say that his imagination lead us to the other areas of knowledge. ...
The Russian teenager is the subject of a growing host of internet pages, which merge sex appeal with computer rankings and win-loss ratios. ... Golden Girl Image Sexing up of sport is perhaps even a bizarre attempt to revive the golden girl image of the late 1990's. ... The mythology of the golden girls was essentially a romantic image of white Australia. ...
The relationship between these two studies is most evident in architecture, where numerical ratios were used in building design. A ratio is nothing more than a relationship between two quantities. For example, a building that is 100 feet wide and 50 feet tall has a ratio between its width and its height of 2:1 (100:50 = 2:1). Proportions in Architecture One of the most interesting proportions used by Renaissance artists, the golden mean, had also been used by the ancient Greeks in art and architecture. Often found in nature in the shape of a leaf or the spiral of a shell, the golden mean ...