Blog for 09-Jan-2023
The Golden Ratio
The Golden Ratio, also known as the Divine Proportion, is a mathematical ratio that is approximately 1.61803398875. It is a special number that has fascinated mathematicians, scientists, and artists for thousands of years due to its unique properties and aesthetic appeal.
The Golden Ratio is found in many natural phenomena, such as the spirals in seashells and the arrangement of leaves on a stem. It is also commonly found in art, architecture, and design, where it is used to create aesthetically pleasing proportions.
Mathematically, the Golden Ratio is derived from the Fibonacci sequence, which is a series of numbers in which each number is the sum of the two preceding numbers (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.). When you divide any number in the sequence by its preceding number, the result gets closer and closer to the Golden Ratio.
The following Table displays the Fibonacci sequence in Excel Format (Calculated up to 6 decimal points. The Graphical Chart is also presented below.
|
First |
Second |
Golden |
|
Number |
Number |
Ratio |
|
1 |
1 |
1.000000 |
|
1 |
2 |
2.000000 |
|
2 |
3 |
1.500000 |
|
3 |
5 |
1.666667 |
|
5 |
8 |
1.600000 |
|
8 |
13 |
1.625000 |
|
13 |
21 |
1.615385 |
|
21 |
34 |
1.619048 |
|
34 |
55 |
1.617647 |
|
55 |
89 |
1.618182 |
|
89 |
144 |
1.617978 |
|
144 |
233 |
1.618056 |
|
233 |
377 |
1.618026 |
|
377 |
610 |
1.618037 |
|
610 |
987 |
1.618033 |
|
987 |
1,597 |
1.618034 |
|
1,597 |
2,584 |
1.618034 |
|
2,584 |
4,181 |
1.618034 |
|
4,181 |
6,765 |
1.618034 |
|
6,765 |
10,946 |
1.618034 |
