Mathematics and geometry is a universal language with which we can describe nature phenomena. Plants and animals are built from the regular patterns of nature. If not so, it would be chaos, and many living creatures would be unviable. The geometry is encoded in the genes. DNA chains project a kind of hologram, into which the living creature grows in. If the DNA is damaged (for example by radiation), the geometry will be distorted. Just think about four-leaves clover, which is abnormal.
(Spiralized flower by @kalemandra)
I made a selection of my original photos, which are good examples to geometry. The second series is about Golden Ratio, Fibonacci and spirals.
- What is Golden 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 figure illustrates the geometric relationship.
(Info and image source: https://en.wikipedia.org/wiki/Golden_ratio)
- What is Fibonacci-series?
In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...
(Info and image source: https://en.wikipedia.org/wiki/Fibonacci_number)
- There is a special relationship between the Golden Ratio and Fibonacci Numbers (0, 1, 1, 2, 3, 5, 8, 13, 21, ... etc, each number is the sum of the two numbers before it). Note that the ratio of the two adjacent Fibonacci numbers approximates the Golden Ratio!
(Source: https://www.mathsisfun.com/numbers/nature-golden-ratio-fibonacci.html)