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What has the golden ratio in it?
A great many things have the golden ratio in them varying from things fabricated by humans such as architecture, the proportions of the sides of a book also fall into the golden ratio. The golden ratio also occurs naturally for example the spiral in the snail's shell falls into the golden ratio. Generally most man made things have the golden ratio in them as it has been found quite simply, to look good.
Why the golden ratio is ideal ratio?
The golden ratio is the ideal ratio because it is consistent throughout many aspects in nature - proportions of the human body, the crests and troughs of a heartbeat, the stripes on a tiger's head, et cetera. The value of the Golden Ratio is 0.5*[1 + sqrt(5)] = 1.61803 (to 5 dp)
Does golden ratio involve patterns?
No. The Golden ratio is an irrational number: [1 + sqrt(5)]/2 = 1.6180, approx. It is found in many patterns - in nature as well as man-made.
How or why did the golden ratio evolve in nature?
It didn't. It's an artefact of mathematics, found in the proportions of many geometric shapes. But although many people claim that this ratio organisms also show this ratio, this is simply not true, unless you apply such a wide margin of error as to make the entire notion of the golden ratio meaningless.
How did the golden ratio help find the height of a pyramid?
The golden ratio is also known as 'phi' (a Greek letter written like an 'o' with a vertical line through it. It is an irrational number, but not a transcendental number like e and pi. You can find its value on a calculator by entering (sqrt5 + 1)/2 = 1.6180339887499..... If you break a stick into two unequal parts so that the ratio of the large part to the small part is the same as the ratio of the original stick to the large piece, then that ratio is the golden ratio. The golden ratio was known to Greek mathematicians as long as 2400 years ago. Luca Pacioli wrote about in 1509, sparking modern fascination . The golden ratio is said to be used in the proportions of Greek temples, and to be found in the ratio of various parts of an ideal human body. It is found in many places in nature, such as the pattern of the seeds in a sunflower, and the shape of a snail shell. As far as the pyramids go, many things have been said about the dimensions, proportions and orientation of the Egyptian pyramids, but my view is that this may be our imagination as much as it was actually the method of the builders of the pyramids. This is not to deny that the pyramids are an amazing feat of engineering. By the way, the first pyramids were built about 4600 years ago, 2200 years before the writings of the Greek mathematicians.
How many digits does the golden ratio have?
infinitely many - the golden ratio is an irrational number
Why is the golden ratio important?
It's important because it is found (or appears to be) in so many areas of life, most notably in nature, and most importantly in mathematics. The Fibonacci sequence and the concept of fractals (like the infinitely divisible golden rectangle) are great examples of this. Ancient Egyptian and Greek architects built many of their structures with this ratio in mind. Philosophers see this ratio as having an important significance, since it occurs in nature so often. A lot of people believe that this formula, known as the golden ratio or phi (φ) pops up in everyday life. The truth is that it does not actually appear in the places it is said to. Many claims of its occurrence are false.
What has the golden ratio in it?
A great many things have the golden ratio in them varying from things fabricated by humans such as architecture, the proportions of the sides of a book also fall into the golden ratio. The golden ratio also occurs naturally for example the spiral in the snail's shell falls into the golden ratio. Generally most man made things have the golden ratio in them as it has been found quite simply, to look good.
Why is the Golden Ratio called the Golden Ratio?
Because it is an unusual ratio and therefore should be given a different name to differentiate it from other common ratios. Gold is valuable and "Golden" is attributed to that which is attractive. The "Golden Ration" is considered attractive and has many uses.
Why the golden ratio is ideal ratio?
The golden ratio is the ideal ratio because it is consistent throughout many aspects in nature - proportions of the human body, the crests and troughs of a heartbeat, the stripes on a tiger's head, et cetera. The value of the Golden Ratio is 0.5*[1 + sqrt(5)] = 1.61803 (to 5 dp)
How many famous places in California?
Famous places in California is the golden gate brigde!golden gate bridgeHollywooddeath vallyyosemitelos angelesDisneyland
Does golden ratio involve patterns?
No. The Golden ratio is an irrational number: [1 + sqrt(5)]/2 = 1.6180, approx. It is found in many patterns - in nature as well as man-made.
What does a golden ratio have to do with culinary arts?
The golden ratio is a mathematical concept. However, many great cooks memorize standard ratios in cooking, such as the ratio of oil to vinegar for vinaigrette, or the ratios of flour to liquid to eggs for baked goods.
How or why did the golden ratio evolve in nature?
It didn't. It's an artefact of mathematics, found in the proportions of many geometric shapes. But although many people claim that this ratio organisms also show this ratio, this is simply not true, unless you apply such a wide margin of error as to make the entire notion of the golden ratio meaningless.
Angry Birds where are golden eggs?
Many places HINT: Go to credits, and at the end there is a golden egg
What are some real life examples of the Golden Ratio?
You read about all the math related aspects of the golden ratio, and now you want to see it applied to real life, right? Well, you already know about various ways the golden ratio appears in real life, and you probably haven't even thought about it at all! ---- One of the first peoples to use the golden ratio in their art, architecture, and other aspects of daily life was the Egyptians. They called the golden ratio the "sacred ratio" and used it in their hieroglyphics and pyramids, as well as other monuments to the dead. ---- The sides of the Egyptian pyramids were golden triangles. Additionally, the three-four-five triangle is a golden ratio between the five unit side and the three unit side. The Egyptians considered this kind of right triangle extremely important and used it also in the pyramids. ---- ---- The Egyptian hieroglyphics also contained many proportions based on the golden ratio. The letter h, for example, is the golden spiral. Additionally, p and sh are created using golden rectangles ---- However, the use and occurance of the Golden Ratio in aesthetics doesn't end with the ancient Egyptians. It was used by the Pythagoreans, Greeks, Romans, and artists during the Renaissance. ---- The frequent appearance of the Golden Ratio in the arts over thousands of years presents us with an interesting question: Do we surround ourselves with the Golden Ratio because we find it aesthetically pleasing, or do we find it aesthetically pleasing because we are surrounded by it?In the 1930's, New York's Pratt Institute laid out rectangular frames of different proportions, and asked several hundred art students to choose which they found most pleasing. The winner? The one with Golden Ratio proportions.
Why are many examples of the golden ratio found in art and design?
Artists and architects believe that the golden rectangle makes a good shape to proportion with and base their work on. It can be found in buildings and found in many artworks.
