Q: Does golden ratio involve patterns?

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Our appreciation of the golden ratio probably derives from some kind of subconscious mathematical process. Our brains do all sorts of things that we do not consciously know about. In an evolutionary sense, we are designed to recognize patterns, since that is central to our understanding of the world in which we live and our ability to function within it, and as a result, we often see patterns, even when they are illusionary. The golden ratio is a pattern of sorts.

Fractals are patterns that are found in nature frequently. Many of them are based off of the golden ratio or Fibonacci's sequence.

The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.

The numbers for the golden ratio are 1.618

the golden ratio lies exactly halfway between 1 and square root of (5)(1+square root of (5))/2=golden ratiogolden ratio=1.6180339887498948482045868343656...

The golden ratio, or golden mean, or phi, is about 1.618033989. The golden ratio is the ratio of two quantities such that the ratio of the sum to the larger is the same as the ratio of the larger to the smaller. If the two quantities are a and b, their ratio is golden if a > b and (a+b)/a = a/b. This ratio is known as phi, with a value of about 1.618033989. Exactly, the ratio is (1 + square root(5))/2.

The golden ratio (or Phi) is a ratio that is very commonly found in nature. For instance, some seashells follow a spiraling path at the golden ratio.

The Golden Ratio is a constant = [1 + sqrt(5)]/2. There is, therefore, no higher or lower Golden Ratio.

No. There is no platinum ratio.

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.

The pattern that occurs in the golden ratio is a spiral.

No, but the ratio of each term in the Fibonacci sequence to its predecessor converges to the Golden Ratio.

The golden ratio is approximately 1.618: 1. This ratio is commonly found in nature and architecture. Stock traders often look for this ratio in patterns on stock charts. One way to compute this ratio is to compare any adjacent Fibonacci numbers. For this reason stock traders often refer to this type of analysis using the term Fibonacci, as in "Fibonacci retracements".

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.

The Golden Ratio is [1 + sqrt(5)]/2.

infinitely many - the golden ratio is an irrational number

The golden ratio is a number. No one has ownership of a number.

No...

The Golden ratio = [1 + sqrt(5)]/2

The golden ratio = 1.8618033969... It is used in art, architechture and music. In the related links box below I posted a link showing the uses of the golden ratio.

The ratio of the shorter side of the rectangle to the longer side is the same as the ratio of the longer side to the sum of the two sides. And that ratio is the Golden section.

It is considered that a shape, eg. Rectangle, with the golden ratio looks "most pleasing to the eye".

The Golden Ratio is a mathematical relationship that exists in art, shapes, nature and patterns. This ratio is thought to be aesthetically pleasing and beneficial to the objects that posess them.The Golden Ratio denoted by the Greek letter phi, usually lower case (φ) states that the division of a line segment into two creates a ratio of the shorter part to the longer equal to that of the longer to the whole. It works out to about 1.61803 and is derived from the Fibonacci sequence.For example:The ratio of the short and long sides of a rectangle should be 1.618 (rounded) to be "right".This ratio is used in doors, windows, pictures, books and many other commonly seen rectangular objects.The seeds in a sunflower are 53 to the right and 33 to the left diagonal creating a 1.6 proportionthe swivel of a snail's shellthe length of our body parts in proportion to the whole anatomical bodyacorn seedsThe Golden ratio is also known as the:golden sectiongolden meanextreme and mean ratiomedial sectiondivine proportiondivine sectiongolden proportiongolden cutgolden number

The golden ratio, also known as the golden mean, is 1.61803399.Using that factor, the golden ratio of 6 inches would be:6 in. * 1.61803399 = 9.70820394 inches. Rounding produces 9.7 in.

The Fibonacci sequence can be used to determine the golden ratio. If you divide a term in the sequence by its predecessor, at suitably high values, it approaches the golden ratio.