Fibonacci Sequence: The Key to Unravel The Mysteries in Nature
Beginning with a single pair of rabbits, if every month each productive pair bears a new pair, which becomes productive when they are 1 month old, how many rabbits will there be after n months? This is the question solved by Leonardo Pisano which led to the discovery of Fibonacci sequence and numbers. Mathematical challenges and competitions were common during his time and that problem was posed in a tournament in 1225 headed by Frederick II. Leonardo Pisano was commonly called as Fibonacci which means son of Bonacci. He is considered as the greatest European mathematician of the middle ages. At an early age, he showed excellent characteristics in the field of mathematics including the decimal number system. However he is famous for his Fibonacci sequence and numbers. Fibonacci sequence is an order of numbers in which the successive number is equal to the sum of the two preceding numbers.
Using the Fibonacci sequence to solve the posed problem may appear trivial, but once explained, the steps are easy and simple. Fibonacci sequence amazed and surprised mathematicians for years and centuries. In fact Fibonacci sequence is reflected not only in the field of mathematics but in nature as well. The Greeks have used the Fibonacci sequence to devise means in achieving balance of life and other Greek structures as well which include the famous Parthenon.
The Fibonacci sequence is also exhibited in nature which as some philosophers and mathematicians said, is nature's way of revealing its mystery. Fibonacci sequence can be seen everywhere from the pattern of the flowers, the arrangement of lines in a leaf, the branches of the tree, the ordinary seeds that fall on the ground, the cones, the beehives and everything you lay your eyes on. Through Fibonacci sequence the unraveled mysteries imbibed within the exquisite details of nature are little by little, revealed and understood.
Plants are commonly used to demonstrate the presence of Fibonacci sequence in nature. It is seen on the exquisite arrangement of leaves, the wings of a bird or a butterfly, the cones, the webs of spiders, the design of a seashell, the petals of a flower and the features of seeds. The Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, 13, ...) are readily seen by the naked eye on the one-petalled flower like the lily, the two-petals of a euphorbia, the five petals of a columbines and buttercups and the list goes on.
A close observation on the design or arrangement of seeds would also reveal the presence of Fibonacci sequence. The vast number of seeds produces a uniform pattern which allocates the seed together irregardless of the size without extending beyond the distance occupied by each seed. In the case of leaves, Fibonacci sequence allows the right share of sunlight for each leaves that is why if you would try to look down on a plant, the leaves are arranged in a manner that the leaves below is not hidden or covered by the leave above.
The Fibonacci sequence is also used as a tool in other fields of human concerns. Fibonacci sequence is used by the Greeks to build the famous Parthenon in Athens which is one of the most notable figure I the field of Architecture. In the field of Art, Fibonacci sequence can also be seen on the works of Leonardo da Vinci, Georges Seurat, Mondrian, Paul Signac and Albrecht Durer. Even stress and meter in the field of Poetry also have elements of the Fibonacci sequence. In Music, the works of Mozart, Beethoven, Debussy, Schubert, Bach, Bartok and Satie also manifest the use of Fibonacci sequence.