Description of the Fibonacci Sequence Computation

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The Fibonacci Sequence is named after an Italian mathematician, Leonardo of Pisa. Get a description of the Fibonacci Sequence with help from a research scientist and one of the world's leading experts on star formation in this free video clip.

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Hello, my name is Harold Yorke, I'm a research scientist in Pasadena, California. And I'll be talking about the Fibonacci Sequence Computation. The Fibonacci Sequence is named after an Italian mathematician, Leonardo of Pisa, and he's known as Fibonacci. And he wrote a book in 1202 and he introduced this sequence. The Fibonacci Sequence starts off with the numbers one, one, we add the two preceding numbers. So, the next number is two, the number after that is, one plus two or three. The next one of course, is two plus three, five, eight, thirteen, twenty-one and so on. That's how we calculate the sequence. Now, this is a very interesting sequence for a number of reasons. If you look at squares, and you start off with two squares that have sides of one and one. And on top of these two squares, you put another square, which has a side which is equal to the length of the two previous squares. So, then I would have one plus one, I would have two. And the next square would be, a three by three square. The next square would be a five by five square, and after that, I would have an eight by eight square. These are the same numbers in the sequence, and I would continue drawing squares. The interesting thing about this is, if I now connect the opposite corners of these squares, that curved line, I get a spiral. And this spiral is very close to the so called golden spiral, which you will see in nature. For instance, a seashell would have this sort of shape. So, these numbers are very interesting and there's a lot of things you can do with them. You can solve the so-called Rabbit Problem with them. And I'll leave that as an exercise for the viewer to see how that works out. Thank you for watching.

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