The Golden Ratio in Math

p The Golden ratio in Math

A very popular characteristic feature of nature is its symmetry . It is said that Nature loves symmetry . Symmetry is found in different forms , sizes , shapes etc of nature . The golden ratio is an intriguing aspect of symmetry in nature . It exists in the form of a number . The golden ratio manifests itself in nature in many diverse forms . The subtle existence of golden ratio in things which seem very much unrelated is very interesting . I find this aspect of golden ratio very amazing and the very

interesting

Golden ratio is very important because it is present in many forms . It is present in plants and flowers . It is also present in crystalline structure of solid in the way they are arranged . It is believed to be the basis for aesthetics of many objects . The pyramids are believed to be constructed taking golden number into consideration . The relation between Fibonacci numbers and golden ratio is exploited to make algorithms of computer programs . These things show that it was very important for the past . The golden ratio has a huge unlocked potential which has to be found out and tapped . I feel this potential makes it important for the future

The 21st century is trying to make the grand unification theory . We find a lot of unrelated things which we are trying to unite into a single law during the process . We find golden ratio to be present in things which seem quite unrelated as said before . I think the golden ratio may considerably influence the grand unification theory . The amount of influence depends on the hidden potential of the golden ratio This is just a possibility of the effect of golden ratio

The golden ratio was discovered long back by different people and was used by them . The people who discovered it were not mathematicians alone . The discoverers included sculptors , painters etc . It is used by them in their own professions . The first mathematician who worked on this golden ratio as recorded by history happens to be Euclid while he worked on geometry . Later it was discovered many other mathematicians independently after Euclid

The peculiar characteristics of the golden number were the reasons for the discovery of the number in different ways by different people . The number appears every where like in plants , crystalline structure of solids , mathematics . So it is natural to expect to biologists physicists , mathematicians discover them independently in their own way It is called with different names as it is discovered by different people who named it differently

The golden ratio is also called as golden mean , golden section , or divine proportion and can be defined in a number of ways owing to its peculiar characteristics . The golden ratio is denoted by the Greek symbol . Let 's see a few ways of defining it

Golden ratio in geometry (golden section

The ratio of length of the whole line segment to the longer segment is equal to the ratio of the...