Saturday, Dec 1st 2018

**I failed at Math, but Mandelbrot still inspires me**

I had no idea what was going on! I couldn’t understand how the other kids could listen to the gobbledegook language the teacher was speaking, (like the muffled wah-wah noises the off-panel teachers in the Peanuts cartoons spoke with), nod with bored expressions, -and write it down and understand it and pass tests and such! It was amazing! I’d just feel stunned and look around sometimes for the hidden camera. No way did any of that make sense..! But it did, and I failed often and badly. Still.., there’s always been something about numbers which appeals to me. I find the whole mystery fascinating. And, to be fair, I was very good at geometry. -In a balancing kind of way, I was very good at it when it served to confound the other students. That was Anyway… I decided a couple of days ago to do some thinking about Fractals. -They’re nothing new, and everybody has seen the famous shapes on the covers of science magazines and nerdy posters, but I couldn’t remember how they worked or why, so I decided to figure it all out again. It didn’t take too long, because fractals are really quite simple, so that even a dunderhead like me can work it out. And the Mandelbrot Set blows my mind! Check it out: Z = Z² + C That’s it! The idea is that you pick some arbitrary number for Z and for C, run the equation, and when you do, you get a new number out the other end. Then you take that new number and make When you run the equation a HALF BILLION times, why, you get a shape which is super complex and deep. The authors of this little math experiment made a video (above) where they zoom into it, and it feels like you’re a parachute jumper falling endlessly into god’s eyeball or something Anyway, I thought that was cool; how you can find an infinitely deep shape in such a simple equation! |

Post Archive