In my research of the Fibonacci Numbers, I have found that the Fibonacci numbers appear anywhere from leafs on plants, patterns of flowers, in fruits, some animals, even in the human body. Could this be nature’s numbering system?
For those who are unfamiliar with the Fibonacci numbers they are a series of numbers discovered by Leonardo Fibonacci in the 12th century in an experiment with rabbits. The order goes as follows: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610 and so on. Starting with 1, each new number is simply the sum of the two before it. The ratio, which is called the Golden Ratio, between the numbers is 1.618034
The most exciting thing about the Fibonacci numbers is how it is portrayed in the human body. For example, the Fibonacci numbers can be seen in the human hand. We have 1 thumb on each hand, 2 bones in each thumb, 3 bones in each finger, 5 digits on each hand, and 8 fingers. You will also find that you have 1 nose, 2 eyes, 3 segments in each limb and the 5 fingers on each hand. Not to mention the Golden Ratio being found in the proportions and measurements of the human body. The ratio between the forearm and the hand. The ratio of the distance between the navel and the knee. The ratio of distance between the knee and the end of the foot. These are just a few examples that I found to be very interesting.
Aside from the body, the Fibonacci numbers are found in the majority of flowers. If you count the number of petals on a flower, you might find the total to be one of the Fibonacci numbers. Lilies and the iris flower have 3 petals. The buttercup and wild roses have 5 petals. Delphiniums have 8 petals. Ragworts and cineraria’s have 13 petals and some flowers even have 55 or 89 petals.
The Fibonacci numbers are not limited to flower petals. Some items found in nature that are connected to the Fibonacci numbers are, the patterns of a pinecone, the seed pattern of the sunflower, the pineapple, some vegetables, and the starfish,...
...Week One Assignment
Allana Robinson
MAT 126
Survey of Mathematical Methods
Melinda Hollingshed
August 21, 2011
Arithmetic Sequence is a sequence of numbers in which each succeeding term differs from the preceding term by the same amount. This amount is known as the common difference and can be found using a specific formula by substituting the numbers from the word problem into the equation. When you plug in all the information, you are able to...
...Anatolia College 
Mathematics HL investigation

The Fibonacci sequence 
Christos Vassos

Introduction
In this investigation we are going to examine the Fibonacci sequence and investigate some of its aspects by forming conjectures and trying to prove them. Finally, we are going to reach a conclusion about the conjectures we have previously established.
Segment 1: The Fibonacci sequence
The Fibonacci sequence...
...Arithmetic Sequence shows "Survey of Mathematical Methods" and contains solutions on the following problems:
First Problem: question 35 page 230
Second Problem: question 37 page 230
Mathematics  General Mathematics
Week One Written Assignment
Following completion of your readings, complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World .
For each exercise, specify whether it involves an...
...the graph that the pattern/structure is exponential. This is due to the previous numbers being added in succession with the next, resulting in the ‘gap’ between each number to increase.
The trend in which the numbers follow is called a Fibonacci sequence and is often found in nature as well.
Many instances in which the Fibonacci Series is present in nature are that a lot of flowers and cone shaped structures have the number of petals as one of the Fibonacci numbers....
...Sequences and Convergence
Let x1 , x2 , ..., xn , ... denote an infinite sequence of elements of a metric space
(S, d). We use {xn }∞
n=1 (or simply {xn }) to denote such a sequence.
Definition 1 Consider x0 ∈ S. We say that the sequence {xn } converges to x0
when n tends to infinity iff: For all > 0, there exists N ∈ N such that for all
n > N , d(xn , x0 ) <
We denote this convergence by lim xn = x0 or simply xn −→ x0 .
n→∞
Example 2...
...particularly that of the Fibonacci sequence and the Golden Ratio. In Debussy’s Nocturne, composed in 1892, I look into the use of the Fibonacci sequence and the Golden Ratio. Previously it has been noted that composers used the Fibonacci sequence and the Golden Ratio in terms of form, however in my analysis I look into the use of it in terms of notation as well. I will explore how the idea of Sonata form is used along with the Mathematical Model of...
...Job sequence modeling using Genetic Algorithms
Dr.S.N.Sivanandam
Professor & Head
M.Kannan
Senior Lecturer
Department of Computer Science & Engineering,
P.S.G.College of Technology,
Coimbatore641 004
Abstract
This paper presents a Genetic algorithm (GA) based procedure for finding an optimum job sequence for N jobs / M machines problem based on minimum elapsed time. The search space is so large that the Genetic algorithms outperform the...
...A sequence shot involves both a long take and sophisticated camera movement; it is sometimes called by the French term planséquence. The use of the sequence shot allows for realistic and dramatically significant background and middle ground activity. Actors range about the set transacting their business while the camera shifts focus from one plane of depth to another and back again. Significant offframe action is often followed with a moving camera,...