#VIDEO FIBONACCI SEQUENCE NATURE FULL#

In the above illustration, areas of the shell's growth are mapped out in squares. The golden ratio is expressed in spiraling shells. In plants, this may mean maximum exposure for light-hungry leaves or maximized seed arrangement.

In other situations, the ratio exists because that particular growth pattern evolved as the most effective. In some cases, the correlation may just be coincidence. Scientists have pondered the question for centuries. Why Do So Many Natural Patterns Reflect the Fibonacci Sequence?

#VIDEO FIBONACCI SEQUENCE NATURE FULL#

DNA molecules follow this sequence, measuring 34 angstroms long and 21 angstroms wide for each full cycle of the double helix. The proportions and measurements of the human body can also be divided up in terms of the golden ratio. You have one nose, two eyes, three segments to each limb and five fingers on each hand. You'll notice that most of your body parts follow the numbers one, two, three and five. Take a good look at yourself in the mirror. Next time you see a hurricane spiraling on the weather radar, check out the unmistakable Fibonacci spiral in the clouds on the screen. Storm systems like hurricanes and tornadoes often follow the Fibonacci sequence. Therefore, Fibonacci numbers express a drone's family tree in that he has one parent, two grandparents, three great-grandparents and so forth. Drones, on the other hand, hatch from unfertilized eggs. The female bees (queens and workers) have two parents: a drone and a queen. HoneybeesĪ honeybee colony consists of a queen, a few drones and lots of workers. For example, lilies and irises have three petals, buttercups and wild roses have five, delphiniums have eight petals and so on. This pattern continues, following the Fibonacci numbers.Īdditionally, if you count the number of petals on a flower, you'll often find the total to be one of the numbers in the Fibonacci sequence. Then the trunk and the first branch produce two more growth points, bringing the total to five. The main trunk then produces another branch, resulting in three growth points. One trunk grows until it produces a branch, resulting in two growth points. Some plants express the Fibonacci sequence in their growth points, the places where tree branches form or split. You can decipher spiral patterns in pine cones, pineapples and cauliflower that also reflect the Fibonacci sequence in this manner. Divide the spirals into those pointed left and right and you'll get two consecutive Fibonacci numbers. Amazingly, if you count these spirals, your total will be a Fibonacci number. Look at the array of seeds in the center of a sunflower and you'll notice they look like a golden spiral pattern. Here are a few examples: Seed Heads, Pinecones, Fruits and Vegetables You can commonly spot these by studying the manner in which various plants grow. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples).But while some would argue that the prevalence of successive Fibonacci numbers in nature are exaggerated, they appear often enough to prove that they reflect some naturally occurring patterns. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. All of which is astounding evidence for the deep mathematical basis of the natural world.

Far from being just a curiosity, this sequence recurs in structures found throughout nature – from the arrangement of whorls on a pinecone to the branches of certain plant stems. In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). The most ubiquitous, and perhaps the most intriguing, number pattern in mathematics is the Fibonacci sequence. Thanks for watching! Remember to speed up the video when necessary! This is a YouTube Video, based on my earlier post on Fibonacci Numbers and the Mysterious Golden Ratio!

Video fibonacci sequence nature