The Mandelbrot Set - Numberphile
Famously beautiful, the Mandelbrot Set is all about complex numbers. Featuring Dr Holly Krieger from MIT. More links & stuff in full description below ↓↓↓ The next part is on Numberphile2...
==========
HOLLY KRIEGER: So, today I want to talk about the Mandelbrot set.But I want to— so, there's so many videos and websites and Java appletsand all of these things where you can see the beauty of the Mandelbrot set.And this really nice fractal picture, and you can zoom in and see all of the interesting things.What I want to talk about is: What is this object? So, what is the picture a picture of?Why do we care about this picture other than just its intrinsic, sort of, appeal?And, so… just to generally talk about the way maybe the mathematicians would look at the Mandelbrot set.The first thing we need to understand is that this entire thing is happeningin the world of complex numbers, okay?So, if you remember, complex numbers—the complex plane, the way that...
==========
HOLLY KRIEGER: So, today I want to talk about the Mandelbrot set.But I want to— so, there's so many videos and websites and Java appletsand all of these things where you can see the beauty of the Mandelbrot set.And this really nice fractal picture, and you can zoom in and see all of the interesting things.What I want to talk about is: What is this object? So, what is the picture a picture of?Why do we care about this picture other than just its intrinsic, sort of, appeal?And, so… just to generally talk about the way maybe the mathematicians would look at the Mandelbrot set.The first thing we need to understand is that this entire thing is happeningin the world of complex numbers, okay?So, if you remember, complex numbers—the complex plane, the way that...
