APPLE SERIAL NUMBER MYSTERY BY ANALYSIS SERIES

I came up with the idea that I could copy the pattern of branches and leaves with solar panels and compare it with another pattern.

I needed a way to measure and compare the amount of sunlight collected by the pattern. I knew that branches and leaves collected sunlight for photosynthesis, so my next experiments investigated if the Fibonacci pattern helped. My results confirmed that the Fibonacci sequence was behind the pattern.īut the question of why remained. I collected samples of branches that fell to the ground from different trees, and I made measurements. I recorded the measurement and then moved up the branch step-by-step.ĭiagram of tree model that Aidan made with his computer. The second compass measured the angle between the two spots. I then moved and rotated the second compass up to the next branch spot. When I put a test branch in the tube, I aligned the zero degree mark on one compass to match up with the first offshoot branch. I took a clear plastic tube and attached two circle protractors that could be rotated up and down the tube. I built a test tool to measure the spiral pattern of different species of trees. I designed experiments that attacked this question, but first I had to do field tests to understand the spiral pattern. I now had my first piece of the puzzle but it did not answer the question, Why do trees have this pattern? I had the next mystery to solve. Other trees with the Fibonacci leaf arrangement are the elm tree (1/2) the beech (1/3) the willow (3/8) and the almond tree (5/13) (Livio, Adler). The amazing thing is that the mathematical fractions were the same numbers as the Fibonacci sequence! On the oak tree, the Fibonacci fraction is 2/5, which means that the spiral takes five branches to spiral two times around the trunk to complete one pattern. Bonnet saw that tree branches and leaves had a mathematical spiral pattern that could be shown as a fraction. In 1754, a naturalist named Charles Bonnet observed that plants sprout branches and leaves in a pattern, called phyllotaxis. What's more mysterious is that the 'divine' number equals your height divided by the height of your torso, and even weirder, the ratio of female bees to male bees in a typical hive! (Livio) Scientists and naturalists have discovered the Fibonacci sequence appearing in many forms in nature, such as the shape of nautilus shells, the seeds of sunflowers, falcon flight patterns and galaxies flying through space. The number 'phi' is nicknamed the 'divine number' (Posamentier). But it seemed to have mystical powers! When the numbers in the sequence were put in ratios, the value of the ratio was the same as another number, φ, or 'phi,' which has a value of 1.618. The number pattern had the formula Fn = Fn-1 + Fn-2 and became the Fibonacci sequence. The number sequence started to look like this: 1, 1, 2, 3, 5, 8, 13, 21, 34.

APPLE SERIAL NUMBER MYSTERY BY ANALYSIS SERIES

Fibonacci added the last two numbers in the series together, and the sum became the next number in the sequence. Fibonacci used patterns in ancient Sanskrit poetry from India to make a sequence of numbers starting with zero (0) and one (1). While counting his newborn rabbits, Fibonacci came up with a numerical sequence. In 1209 in Pisa, Leonardo of Pisano, also known as 'Fibonacci,' used his skills to answer a math puzzle about how fast rabbits could reproduce in pairs over a period of time. I found the answer with a medieval mathematician and an 18th-century naturalist.

My investigation started with trying to understand the spiral pattern. Investigating this secret led me on an expedition from the Catskill Mountains to the ancient Sanskrit poetry of India from the 13th-century streets of Pisa, Italy, and a mysterious mathematical formula called the 'divine number' to an 18th-century naturalist who saw this mathematical formula in nature and, finally, to experimenting with the trees in my own backyard. I had a hunch that the trees had a secret to tell about this shape. The branches seemed to have a spiral pattern that reached up into the sky. I took photos of the branches on different types of trees, and the pattern became clearer. I thought trees were a mess of tangled branches, but I saw a pattern in the way the tree branches grew. It seems like nature has disappeared.īut when I went on a winter hiking trip in the Catskill Mountains in New York, I noticed something strange about the shape of the tree branches. The rainbow of red, yellow and orange autumn leaves has been blown away by the wind turning trees into black skeletons that stretch bony fingers of branches into the sky. Lakes and ponds freeze, and animals scurry to burrows to wait for spring. People see winter as a cold and gloomy time in nature. 'I thought trees were a mess of tangled branches, but I saw a pattern in the way the tree branches grew.'

Apple serial number mystery by analysis