I’m participating in the A to Z Challenge. For 26 days in April and excluding Sundays (which I’ll be using for the Sneak Peek), I’ll write a post for each letter of the alphabet. Follow this link to nearly 2000 other bloggers and authors.
The A to Z Challenge – participating blogs

Today’s Calliope’s Writing Tablet post is brought to you by the letter F — F for Fractals and Fibonacci.

Before I go into the work of mathematician Benoit Mandelbrot, I’ll begin with a brief explanation of the Fibonacci Sequence. For brevity’s sake, I’ll skip the fine details of this mathematical creation, but I urge to everyone to delve into it. It all starts with a man of the Middle Ages, a mathematician named Leonardo Fibonacci. Once you understand it, it’s utterly fascinating, especially when you see evidence of it everywhere. In my understanding, the Fibonacci Sequence concerns these integers, or whole numbers, laid out like so:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89….ad infinitum.

See how that works? 0 + 1 = 1. 1+1=2. 1+2=3. 3+2=5 and all the way to 34+55=89 and beyond. If you worked this formula out on graph paper with squares and rectangles, you’d eventually get what’s known as the Divine Proportion or Golden Mean.

Ok, so you have a basic idea of the Fibonacci Sequence. What about Mandelbrot? He’s the modern day mathematician who came up with the mathematical term Fractal, and he’s known for one in particular – the Mandelbrot Set. Suffice to say he used an equation that’s too over my head to explain here, but this is what he did — After entering the math into a computer, he got a computer-generated image that graphically represents the behavior of his  equation. And it had the old Fibonacci Sequence inside of it! To mathematicians, this phenomenon is unexplainable via their notions of how the math works. It’s still unknown as to why the Fibonacci sequence appears in the Mandelbrot Set.

The following video is a long one, but well worth it.

Tomorrow, letter G!

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