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

I am on Mac, and I tried to hold ⌘ then put my cursor on the zoom level, but it doesn't show extra statistics for example: max period, max escape, or how many pixels diverged, are unfinished, or are chaotic regions.

To Oct 25 2024: thanks for the bug report! It is now fixed - you can go to this point and it looks fine now.

https://mandelbrot.page/?s=1e-20&c=-2.00000000000000000000000+0.00000000000000000000000i&grid=5

I love this Mandelbrot viewer. Thanks so much for making and sharing it.

My minor bug report, which you can feel free to ignore, is that I can't seem to save a generated video on desktop; it doesn't seem to redirect to the resulting video in Firefox (Ubuntu or Mac) or Safari (Mac). Any clicks seem to immediately clear the video canvas.

Generating and saving videos works well in Firefox for Android, but my desired videos are too dank for my phone to successfully generate without OOMing.

Many thanks,
Chris

Oh! OK. I think it was my bad. You have to wait for the movie to completely play through once, then click the yellow text, and you receive a .webm.

2