What are 3 examples of ways Fibonacci numbers are seen in nature

Take another pair of numbers, say 21 and 34, the ratio of 34 and 21 is:Fibonacci numbers and the golden ratio play a role in music as well, from musical scales to the foundations of chords to the harmonics.If you count the numbers of scales at each level, you will find that they follow the fibonacci sequence.Plantain and pyrethum flowers have 34 petals, etc.Pinecones, as an example, have two sets of spiralling bracts;

If you count the number of petals, it will be a number in the fibonacci sequence.Brewbooks / flickr (creative commons) spiral aloe.There's a vegetable called the romanesco, closely related to broccoli, that has some pretty stunning spirals.In principle, all the sunflowers in the world show a number of spirals that are within the fibonacci sequence.Be able to recognize reoccurring patterns in plant growth and nature.

Asters and chicory have 21 petals;Romanesque broccoli is a striking example of the fibonacci.A few examples include the number of spirals in a pine cone, pineapple or seeds in a sunflower, or the number of petals on a flower.The fibonacci sequence the order of the fibonacci sequence goes like this:The rules for the fibonacci numbers are given as:

Here, a microscopic view of the ovary of an anglerfish.For example, in the top plant in the picture above, we have 3 clockwise rotations before we meet a leaf directly above the first, passing 5 leaves on the way.Broccoli and cauliflower do, too, though it's harder to see.Both spirals can be found in nature, and both follow the fibonacci sequence.1, 1, 2, 3, 5, 8, 13, 21.

1 / 1 = 1.Some prominent examples include the following: