Fibonacci Numbers hidden in the Mandelbrot Set - Numberphile
With Dr Holly Krieger from Murray Edwards College, University of Cambridge. Have a look at Brilliant (and get 20% off) here: https://brilliant.org/Numberphile More Numberphile videos with...
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So, today I'm gonna tell you about how the Fibonacci sequence appears in the Mandelbrot set. Hopefully, your mind will be blown by the end of that sentence. So the Fibonacci sequence, the rule is that you take the previous two numbers, and you add them together to get the next. Right? So we started with 1 1. Their sum is 2. The next number will be the sum of 1 & 2, which is 3. The sum of 2 & 3 is 5. The sum of 3 & 5 is 8. I'll do one more. And then, you can continue on. Brady: "Easy." Easy, right? And this occurs everywhere that has interesting connections to things in nature, and all of that, but I just want to show you where it appears on the Mandelbrot set. So, slightly less easy. So, the Mandelbrot set is a special object ins...
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So, today I'm gonna tell you about how the Fibonacci sequence appears in the Mandelbrot set. Hopefully, your mind will be blown by the end of that sentence. So the Fibonacci sequence, the rule is that you take the previous two numbers, and you add them together to get the next. Right? So we started with 1 1. Their sum is 2. The next number will be the sum of 1 & 2, which is 3. The sum of 2 & 3 is 5. The sum of 3 & 5 is 8. I'll do one more. And then, you can continue on. Brady: "Easy." Easy, right? And this occurs everywhere that has interesting connections to things in nature, and all of that, but I just want to show you where it appears on the Mandelbrot set. So, slightly less easy. So, the Mandelbrot set is a special object ins...
