#Fibonacci number examples series#

Spiral galaxies are the most common galaxy shape. The Milky Way has several spiral arms, each of them a logarithmic spiral of about 12 degrees. It can also be seen in the horns of certain goats, and the shape of certain spider’s webs.

Snail shells and nautilus shells follow the logarithmic spiral, as does the cochlea of the inner ear. 3’s and 5’s, however, are abundant in nature. Fibonacci numbers are seen in the branching of trees or the number of leaves on a floral stem numbers like 4 are not.

Spiraling patterns can be found on pineapples and cauliflower. Sunflowers provide a great example of these spiraling patterns. Typically, seeds are produced at the center, and then migrate towards the outside to fill all the space. 5 appendages on each of these, in the fingers and toes and 5 openings on the face.Īnimal bodies exhibit similar tendencies. The Golden Section is manifested in the structure of the human body. The human body is based on Phi and the number 5.The number 5 appendages to the torso, in the arms, leg and head. Similar proportions can been seen from the side, and even the eye and ear itself. The mouth and nose are each positioned at golden sections of the distance between the eyes and the bottom of the chin. Facesįaces, both human and nonhuman, abound with examples of the Golden Ratio. For example, the lily has three petals, buttercups have five of them, the chicory has 21 of them, the daisy has often 34 or 55 petals, etc. Number of petals in a flower is often one of the following numbers: 3, 5, 8, 13, 21, 34 or 55. Let’s explore how your body and various items, like seashells and flowers, demonstrate the sequence in the real world.Īs you probably know by now, the Fibonacci sequence shows up in the most unexpected places. The Fibonacci Sequence is often used to arrange the petals of flowers. However, to understand the concept of the Fibonacci sequence better, here are some examples where Fibonacci sequences are used or visible in nature. The Fibonacci sequence is seen all around us. As kids and students, we have all indulged in some sequencing activities. Each number is the sum of the two numbers that precede it. In mathematics, the Fibonacci sequence is the ordering of numbers in the following integer sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144… and so on forever.

#Fibonacci number examples series#

We’ve talked about the Fibonacci series and the Golden ratio before, but it’s worth a quick review.