Golden Ratio RepresentationĪnimals show a wide range of body structures.
#Examples of goldenratio earth moon series#
This value approaches closer to the golden ratio as the series progresses. The interesting aspect of this series is that, after the first four to five numbers, if each number is divided by its immediate predecessor, it yields a value close to 1.618. The initial sequence is as follows – 0, 1, 1, 2, 3, 5, 8. This sequence is a series of numbers, where each number is the sum of its two preceding numbers.
This value can be derived using basic quadratic equations, geometry, or by analyzing the Fibonacci sequence. Its mathematical value is 1.61803398… For general purposes, the value is assumed to be 1.618. This ratio is called the golden ratio, and is signified by the Greek letter phi (Φ). A more accurate way to describe it would be, to call it a ratio of line segments when a line is divided into two parts (a and b), such that the ratio of ‘a’ to ‘b’ is the same as the ratio of (a+b) to ‘a’. All these names point to the fact that, it is a ratio of dimensions of a given entity, but this description seems vague. The golden ratio is referred to by many diverse terms, such as golden mean, golden section, medial section, divine proportion, golden cut, and extreme and mean ratio. The first we may compare to a measure of gold the second we may name a precious jewel.” ―Johannes Kepler “Geometry has two great treasures: one is the Theorem of Pythagoras the other, the division of a line into extreme and mean ratio.
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