davidbau.com

Hello, David. I have been playing with your mandelbrot grapher all this week. It is incredibly simple, elegant, effective. And it is beginning to affect the way I think. Thank you for chugging away, and thanks for iterating those polynomials. MANY THANKS.

Now all you need is an iPad app. ;)

Hi David,
Many thanks for your Chrome (javascript) app. Am converting it to run in native Windows mode in C++ - had an interest in Mandelbrot some 25 years ago, but as you say, rendering on computers those days was tricky, so I did a lot more Julia sets in greyscales instead. Had several computers running overnight as well. Oh those were the days. Anyway, noticed a strange quirk - was using your explorer near the leading tip of the set, at -1.996,0 approx. Now by my 15th picture it was centred at -1.99638276428 with a width of 1.106e-8 approx. When I next clicked, I selected the tiny set at the left edge of the big set displayed in this picture, at about -1.99638276750,0 and a very strange thing happened: most of the picture converged (all of the right hand half). The next two pictures still had convergence problems (ie too many pixels converging) and then it seemed to sort itself.
Anyway, I haven't studied your convergence algorithm yet, or how it iterates from one picture to the next, but thought it a very strange effect.

Hi David,
I don't know how to modify your code, but I feel sure you would like the following suggestion as more computing power becomes available (3.3 GHz 4 core processors.) The current (Java?) applet doesn't make use of threading, and it could surprise people with performance if you supplemented the algorithm with code to make use of threading - it's a highly parallel process. Love the app.

Cheers,

James

Simple, genius code.
Kind regards
Maciej

hi - I mentioned you on http://makeyourownmandelbrot.blogspot.co.uk/2014/08/pure-web-mandelbrot-explorers.html

(the site accompanies the book which introduces the surprising maths behind the fractals, and Python programming, all for complete beginners)

0+0i
1.5+0i
-0.75+0i
0.25+0i
-0.5+0i

Hello. Every day other than this day has been working perfectly. But today, it clicks in places I don't want it to. It is ruining my experience with the website.

f(z)=(z.x^2-z.y^2+x,2z.xz.y+y

it would be nice to show c vlue

i want to zoom farther than 1e30

i zoomed to -2+0i to like 1e15x zoom and there was a black line in the middle of the image, same with 0 + 1i and 0 + -1i

i zoomed to -2+0i to like 1e15x zoom and there was a black line in the middle of the image, same with 0 + 1i and 0 + -1i