The magical world of Fibonacci numbers!
1, 1, 2, 3, 5, 8, 13, 21, 34, _ _ _ _ _ _
By looking at these numbers the first thing that came in our minds is of Fibonacci Series where every term is sum of its previous two terms except first and second! And if you are from programming world then you have coded this series by using various techniques, and get’s frustrated whenever someone in an interview ask you to code it 😜!
But, Have you ever thought how beautiful and magical this boring series can be? If not, let me take you into the magical world of Fibonacci numbers!
Branches in Tree
If you look closely the number of branches at every level, then you’ll amaze to see that these numbers follow the Fibonacci Series!! Isn’t Cool?
And whenever a tree starts to grow, it begins with trunk branch, In one month this branch gets split into two branches and again in the next month these two branches splits to 3 branches then to 5 branches then to 8 and so on!! This keeps on continue and forms our one and only Fibonacci series!
Petals of Flower
The number of petals of many flowers is a Fibonacci number, lilies and iris have 3 petals, buttercups have 5 petals, some delphiniums have 8, corn has 13 petals!
- 3 Petals: lily, iris
- 5 Petals: buttercup, wild rose, larkspur, columbine
- 8 Petals: delphiniums
- 13 Petals: ragwort, corn marigold, cineraria
- 21 Petals: aster, black-eyed susan, chicory
- 34 Petals: plantain, pytethrum
- 55 Petals: michelmas daisies
Now whenever you encountered any flower try to look at that from different perspective, a perspective of your education! You’ll be amaze by this beautiful nature!
By taking two unit square we have attached another square of 2, after this another square which touch 2 and 1 who side is now 3, another which is touching both and 2 and 3 who side is 5 and similarly 8, 13, 21, and so on!! Rectangles whose sides are two successive Fibonacci numbers in length and which are formed by the sides of adjoining square are Fibonacci Rectangle.
When you draw spiral in these squares, a quarter of a circle in each square! This spiral is basically Golden Spiral! And you’ll find this spiral in Seashells, Chameleon tails, Galaxies, Sunflowers and so many places!
Reproduction in Rabbits
Reproduction in rabbits in a classical example of Fibonacci series!
Mating in rabbits always produces one pair (one male, one female) every month from the second month onwards!
The number of pairs of rabbits in every month follows Fibonacci sequence as the rabbits just born the previous month can not reproduce in the following month so instead of doubling they follows Fibonacci Series!
I hope I am able to open your senses by connecting this mathematical concept with the real world!! If you try to link every concept that you study with the real world you’ll be amazed by the beauty of it!
Thankyou for reading this article till here! Will see you in my next blog, till than have an awesome life!!