Pls post your cool, interesting and strange Mandelbrot-set findings, facts or material, thanks.Picrel was generated after more than half an hour (or so, I don't remember exactly but it took awhile because I zoomed in a lot) of computing time using the following online resource:https://math.hws.edu/eck/js/mandelbrot/MB.html
>>16781510Used to love these things back when I first started using psychedelics. Didn't make pic related myself, just found it somewhere at the time, it's by far my favourite.Also sweet mercy I had f.lux on and I was thinking like "Damn that looks like a really good one, let me turn it off and see it in real colours" and sweet mercy that transition was a wild visual experience.
I once created a picture of part of the Mandelbrot set which has 100 million pixels. The entire image is made up from 25 square images each of which are 2000x2000 pixels and which I generated separately. If I ever get a chance to make a super large poster of it or something similar that would be pretty cool.The image ended up being 134 megabytes in size so obviously too much for 4chan but here's a compressed version of the same image.
>>16781598i love it, very nice
>>16781510If you zoom on a distorted minibrot you can make it more and more distorted until it kind of loops back in on itself by zooming in more and more on the distorted minibrots
>>16782089I didn't know this, can you show an example?
>>16781598Sounds cool, thank you for at least sharing the lower-res image with 4chan's upload limit.
>>16782404I assume the other anon was referring to the iterated process of continuously zooming into smaller replicas of the Mandelbrot set (or "minibrots"), that you can find at certain points of the set since it's a fractal. Like, when you get to the first minibrot, you zoom into the exact, same point of it as before and so on.But that shouldn't change the shape itself of the minibrots because they're supposed to be replicas of the main one in a fractal pattern, so that's what I don't understand from anon's comment; because what changes through each iteration is just rotation, layers and filaments, as far as I'm concerned.I already tried zooming into the same point multiple times and the set's shape doesn't seem to change. I'm currently letting it compute the picture but it's probably going to take more than half an hour to complete.
>>16782625They're not exact replicas because they are a little bit skewed/distorted. I don't know if they all are but some of them are for sure. Picrelated is an example.I think anon is claiming that they will get increasingly more skewed if you zoom in the right way. I've spent a lot of time zooming into the Mandelbrot set with fractal software but I've never seen that happen. In any case it would be an interesting question to ask how skewed can one of those minibrots possibly be. There's an infinite number of them so what't the most skewed one?
>>16781510>>16781557>>16781598Are there coordinates to these or something?
>>16782932The online program I used (https://math.hws.edu/eck/js/mandelbrot/MB.html) doesn't seem to display coordinates, but there's another one that has more features and is based on that one, which does provide coordinates at the bottom-left of the screen:https://www.mrob.com/pub/comp/eck-mandel/index.htmlIf you click on "[Click here] for more info, instructions, and examples." in the first URL that I mentioned, you'll be able to find that second URL with the program that provides coordinates.I think picrel was the 8th or so minibrot that I zoomed into the same spot, starting from most visible one above the biggest circle to the top of the cardioid. It took more than an hour or more than an hour and a half of rendering, and I still didn't let it complete a second pass! As you can see, it didn't deform / distort significantly.If I'm not mistaken, the coordinates for this minibrot are:-0.1528467357297625 +1.0396951378330936
>>16782703These ones seem to be around Seahorse Valley (around the big cardioid's West edge, next to the biggest circle in the set placed to the left side).-0.7485454 + -0.0646567
>>16782932I'm that 100 megapixel image anon. Yes I have the coordinates saved. These are the coordinates to that spiral:-0.798661364890323120755488201, 0.14933655179855835088245551
>>16781510>Pls post your cool, interesting and strange Mandelbrot-set findings, facts or material, thanks.FACT: I had a cool Mandelbrot program for my 80286 PC-2 that would make it get real hot and crash if you zoomed into much.On kid in China had his PC-2 catch fire, so they totally banned the program.I still run it (using DosBox) because I am a smooth criminal.
>>16783463>-0.798661364890323120755488201, 0.14933655179855835088245551Kek
The Mandelbrot set has a copy of itself called a minibrot. The minibrot also has a copy of itself (a mini-minibrot), and that has a copy of itself, and that has a copy of itself, and that has a copy of itself.
Close image of the Mandelbrot set edge. Only the inside and outside of the set shown with black and white respectively.
One of my favorite Mandelbrot set pictures I've generated.
>>16783463your grand scale image is neat!Did you delve any deeper? picrel shows the coords a little more zoomed in, I think some 1e5 times smaller, but stays very similar.Guess I'll check out the "eyes"
>>16781510How do coordinates work in finding Mandelbrot features?Is it just coordinates on the plane plus zoom level/power?
>>16783935It's just a single complex number on the complex plane basically, not really coordinates although you could think of it like coordinates
>>16783935X+iY to get the position on the complex plane. To be fair the coloration is arbitrary and usually denotes the density of points that satisfy the Mandelbrot function.
>>16784647Strictly speaking all the pretty colors are points that *don't* satisfy being part of the set. They are just an indication of how hard it was to prove.
There’s also the program xaos. Gives you lots of options for exploring fractals. The burning ship fractal is pretty cool too
>>16784115>>16783935I see...
>>16783559are you talking about fractint? when i was a student that was the fractal program of choicewhat's the best fractal generating program now? that will run locally i mean
>>16783715that looks coolwallpaper worthy
