We are sure the wonders of the Fibonacci series will not be news to most of you, but this wonerdful video might. Please take a look and delight (if the video doesn’t play in your browser just click the link ‘Watch on YouTube’) – Deskarati
The Fibonacci Series, a set of numbers that increases rapidly, began as a medieval math joke about how fast rabbits breed. But it’s became a source of insight into art, architecture, nature, and efficiency. This mathematical game explains the structures of leaves and lungs, is replicated in paintings and photographs, and pops up as the basis for the pyramids, the Parthenon, and packing efficiency. Find out where the Fibonacci Sequence comes from and why it keeps eerily showing up.
The Origin of the Series:
The Fibonacci Series gets its name from Leonardo Fibonacci, who lived in the twelfth century. He wanted to calculate the ideal expansion of pairs of rabbits over a year. He assumed that each pair would produce another pair as soon as they matured at one month. In January, a new pair of rabbits would be born (1) they would reach maturity in a February (1) and breed, producing a new pair in March (2). They would then breed again, and produce a new pair in April (3), and another pair in May. Meanwhile, they rabbits born in March would reach maturity in April so in May would see two new pairs of bunnies produced, bringing it to a total of 5 pairs. Now the rabbits born in January, March, and April would all be adding new pairs, bringing June’s total to 8 pairs..
The expansion would carry forward, with each new pair coming to maturity and starting their own little Fibonacci Series to be added to the whole. Over the months, with no deaths, the rabbit pair expansion would look like this:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . . .
Anyone can see that by December the poor owner would be inundated with rabbits. Sharp-eyed readers can also see that each new number in the sequence is the combination of the two numbers before it. Five plus eight makes thirteen. Eight plus thirteen makes twenty-one, and so on.
Fibonacci Goes Gold in Art and Architecture:
Many would respond to this with a shrug and a mental note to not let Fibonacci near any of their rabbits. It turns out, though, that he was really on to something. Mathematicians and artists took this sequence of number and coated it in gold. The first step was taking each number in the series and dividing it by the previous number. At first the results don’t look special. One divided by one is one. Two divided by one is two. Three divided by two is 1.5. Riveting stuff. But as the sequence increases something strange begins to happen. Five divided by three is 1.666. Eight divided by five is 1.6. Thirteen divided by eight is 1.625. Twenty-one divided by thirteen is 1.615.
As the series goes on, the ratio of the latest number to the last number zeroes in on 1.618. It approaches 1.618, getting increasingly accurate, but never quite reaching that ratio. This was called The Golden Mean, or The Divine Proportion, and it seems to be everywhere in art and architecture.
Read more here io9