January 17, 2014 by daniela marin
Aiden, un copil de 13 ani, a privit copacii si felul in care se dezvolta si se aranjeaza crengile lor. Asa a descoperit o formula matematica care se bazeaza pe seria lui Fibonacci, dar si ca forma spiralei poate fi folosita in panourile solare pentru a mari capacitatea lor de a colecta si a pastra lumina solara.
USING THE FIBONACCI SEQUENCE TO MAXIMIZE SUNLIGHT COLLECTION
Upon investigating, Aidan discovered a pattern based on a number sequence invented by medieval mathematician Fibonacci. Fibonacci discovered a pattern when experimenting with a math puzzle. Through solving a problem about the rate at which rabbits reproduce over time, Fibonacci invented a sequence of numbers. Fibonacci invented a mathematical pattern, starting with zero and one. By adding two numbers to the series together, the new sum became the next number in the sequence. This sequence starts out with the numbers 1, 1, 2, 3, 5, 8, 13 and 21.
This Fibonacci sequence and its ratios appear in nature, in many forms of life. According to Aidan, examples of this pattern can be found in the seeds of a sunflower, systems of the human body and even galaxies in space.
Aidan found that tree trunks contain similar patterns based on the Fibonacci sequence.
According to Aidan, “Tree branches follow a Fibonacci formula.” He reports that, in an oak tree, branches are arranged in a two to five sequence. “Five branches spiral around the trunk two times to reach the same starting point on the trunk,” he reports.
The patterns that he found also include the elm tree, which follows a one to two pattern, and the beech tree, which follows a one to three pattern. He found a three to eight pattern in the willow tree and a five to one pattern in the branch arrangement of almond trees.