The Golden Ratio- God’s Finger print
The Golden Ratio- God’s Finger print
Mathematics is the Queen of science. Mathematics was not invented rather it was discovered by human. Mathematics is the best language to communicate as we can transform everything, every action into a mathematical form, and Golden ratio is one of the most genius examples of them.
In mathematics, The Golden Ration is the one of the incredible discover. The irrational number (1+sq(5))/2 it is denoted by the Greek letter , the value of is approximately 1.6180339887498948482….
The golden rectangle is defined with longer side of the rectangle is A and the smaller side is B. The relation between the sides is (A+B)/A =A/B=pi
Pi is the ration between two positive numbers therefore the value of pi=1.618033988749894848
Other Name of golden ration: Golden section, Golden mean or divine proportion
- Golden Ratio in Human body
- ( length between shoulder to knee)/( length between knee to toe)= 1.6180…
- ( length of human biceps)/( total length of the hand)= 1.6180…
- ( length of human body)/( length between lower part of the body from navel)= 1.6180…
- (face length)/(face Width) = 1.6180…This ratio is differing every human to human. If the ratio is closer to 1.6180… [This ratio is differs from human to human. If the ratio is closer to 1.6180…then the human looks beautiful]
- (length between figure and elbow)/(length between wrist and elbow) =1.6180…
Similarly there are more than 300 such types of Golden ratio in Human body
2. Golden Ratio in the Fibonacci sequence
The series is of the form , is called a The Fibonacci sequence is the series of number 0,1,1,2,3,5,8,13,21,34,55…The ratio between any two consecutive numbers in Fibonacci sequence is close to the Golden ratio 1.6180339887498948482….
A | B | B/A |
2 | 3 | 1.5 |
3 | 5 | 1.666666666666667 |
5 | 8 | 1.6 |
8 | 13 | 1.625 |
13 | 21 | 1.615384615384615 |
21 | 34 | 1.619047619047619 |
34 | 55 | 1.617647058823529 |
55 | 89 | 1.618181818181818 |
… | … | … |
144 | 233 | 1.618181818181818 |
233 | 377 | 1.618025751072961 |
… | … | …. |
3. Golden Ratio in nature
- Branches in the trees
A tree branch form follows The Fibonacci sequence. A central stem will grow up and create a branch, which produces two growing points. At that time, one new trunk branches keen on two, while the further one lies resting. This design of branching is recurring for all of the new branches.
- Shells
The distinctive characters of the Golden Rectangle provide an additional case in point. It makes a rectangle length a and breadth b and the ratio of the sides a/b is equal to the golden ratio 1.6180339887498948482….,
- Flower petals
The petals count in the flowers tracks Fibonacci number. The count of the flower petals are 3,5,8,13,21,34 or 55
- Three petals in Lily flowers.
- Buttercups flower contain 5 petals.
- The chicory flower has 21 petals.
- In daisy flower contains often 34 or 55 petals.
- Hurricanes
The shape of the Hurricanes forma a golden rectangle
- DNA Molecules
The molecule measures of the DNA is (long/wide)= (34 angstroms/21 angstroms) for every fully cycle of its double helix spiral. The length 34 and breadth 21 are Fibonacci numbers. (34 angstroms/21 angstroms) = 1.6190476 it is approximately identical to golden ratio 1.61803398874….,
Like this the golden ratio occurs in numerous things in nature so this This golden ratio may be the finger print of God.
image source
- pic 1: https://www.google.com/url?sa=i&url=https%3A%2F%2Fen.wikipedia.org%2Fwiki%2FGolden_rectangle&psig=AOvVaw1UFhoKgu35Gk33TVTaBkiY&ust=1596889576089000&source=images&cd=vfe&ved=0CAIQjRxqFwoTCMji4bWLiesCFQAAAAAdAAAAABAI
- calculation of pi: N vinoth kumar
- picture 2: N vinoth kumar
- tree: //www.google.com/url?sa=i&url=https%3A%2F%2Fio9.gizmodo.com%2F15-uncanny-examples-of-the-golden-ratio-in-nature-5985588&psig=AOvVaw0vg_hL4LQuTmu1QtIYZuCS&ust=1596891256371000&source=images&cd=vfe&ved=0CAIQjRxqFwoTCLCE6tWRiesCFQAAAAAdAAAAABAD
- shell: N vinoth kumar
- Huricanes: https://www.google.com/url?sa=i&url=http%3A%2F%2Fxahlee.info%2Fmath%2Ffibonaci_spiral_hurricane.html&psig=AOvVaw3mknGrA1oyVgJoU3do7gdA&ust=1596892034345000&source=images&cd=vfe&ved=0CAIQjRxqFwoTCJjKiMqUiesCFQAAAAAdAAAAABAD
- Featured image: https://www.google.com/url?sa=i&url=https%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DiEnR8zupK0A&psig=AOvVaw10zogTVSBfWdzzkjZagYxL&ust=1596895596326000&source=images&cd=vfe&ved=0CAIQjRxqFwoTCPiau_WhiesCFQAAAAAdAAAAABAJ