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Q: What was the name of the secret society of the mathematicians that studied geometric ratios such as the golden ratio?

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Nobody has been identified.The Golden ratio has fascinated people in ancient cultures for centuries. It has been of interest, not just to mathematicians, but also to biologists, musicians, architects, artists, and other disciplines.

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.

Fibonacci didn't discover the golden ratio. It had been used thousands of years earlier,for example in construction of religious architecture by the Greeks, who considered it themost perfect and visually pleasing ratio of structural length to width. Fibonacci studied asimple numerical series that generates the number equal to the golden ratio.The number is also the solution to the equation: [ (x - 1) = 1/x ].

History Golden Ratio ( 1.61803398875...) The golden ratio has fascinated Western intellectuals of diverse interests for at least 2,400 years. According to Mario Livio: Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics. Source: Wikipedia, Golden Ratio

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.

Related questions

The Laing tetrahedron is a type of tetrahedron with edge lengths that are in proportion with the golden ratio, φ (1.618...). It is named after Alexander Laing who studied this unique geometric shape.

There are a few geometric terms that start with the letter G including great circle, glide, and golden ratio. Another example is golden mean.

No, they are not the same, but relate to each other. The medial right triangle of this "golden" pyramid, demonstrated the Pythagorean theorem through the relationship of the two. Ancient Greek mathematicians first studied the golden ratio because of its frequent appearance in geometry. The division of a line into "extreme and mean ratio" (the golden section) is important in the geometry of regular pentagrams and pentagons. The Greeks usually attributed discovery of this concept to Pythagoras.

The address of the Golden Historical Society is: Po Box 148, Golden, IL 62339-0148

Phi is, above all things, the 21st letter in the Greek alphabet, so it's hard to say who created it. However, the number commonly attached to it, the golden ratio, has a long history, starting with the mathematicians of Ancient Greece, and has been studied, used, and approximated ever since. Just a few of the mathematicians who studied Phi are Euclid, who gave the earliest known definition of the golden ratio; Kepler, who described it as one of the two greatest feats of mathematics (along with the Pythagorean Theorem); Michael Maestin, who was among the first to give a rough approximation of the golden ratio's value; and Mark Barr, who first used the letter Phi to describe the ratio. So, I guess in the end the creation of Phi was sort of a group effort.

The phone number of the Golden Historical Society is: 217-696-4672.

The address of the Golden Valley Historical Society is: 7800 Golden Valley Rd, Golden Valley, MN 55427-4508

The Golden Ratio has been known to mathematicians for a very long time but there is little reliable evidence of its origin. The ratio was first described, in writing, by Euclid.

Golden Key International Honour Society was created in 1977.

Gambling Odds Gamma (Γ γ) Gauss-Jordan Elimination Gaussian Elimination Gaussian Integer GCF General Form for the Equation of a Line Geometric Figure Geometric Mean Geometric Progression Geometric Sequence Geometric Series Geometric Solid Geometry GLB Glide Glide Reflection Global Maximum Global Minimum Golden Mean Golden Ratio Golden Rectangle Golden Spiral Gogol Googolplex Graph of an Equation or Inequality Graphic Methods Gravity Great Circle Greatest Common Factor Greatest Integer Function Greatest Lower Bound Greek Alphabet

Nobody has been identified.The Golden ratio has fascinated people in ancient cultures for centuries. It has been of interest, not just to mathematicians, but also to biologists, musicians, architects, artists, and other disciplines.

The phone number of the Golden Drift Historical Society is: 530-389-2617.