Amazing that you zoomed so deep into such a difficult location (such as the crack of a minibrot). I also find it interesting that you zoomed into the crevice of a minibrot a little further down the needle than the largest minibrot, which everyone else goes for, though I guess you did this to make sure that the julia sets were spaced out far enough apart to make it more visually appealing.
U could get the same effect when you travel by bus or car and look backwards .. but to opposite direction .. I mean after watching a while (long while) leaving everything behind you then everything you look at after will seem to come closer
@Maths Town: Thanks for spending your time to bring these beautiful videos to us! 14:01: (and many, many other occasions) these colorful areas remind me of magnetic fields 14:31: quadrupol 15:50: hyperbolic geometry
Did you know that since this zoom zooms at constant speed, you can calculate the zoom depth of any frame by calculating the zoom speed (by dividing 1642 by the number of seconds the zoom takes, starting at 0:03 and ending at 2:16:25), then multiplying the zoom speed by the number of seconds you are into the video minus three (since the zooming starts three seconds in).
Just like a LSD-Trip...without bad side effects. The first Mandelbrot i saw was in the late 80th/early 90th on my Commodore Amiga 500. It opened a window into strange worlds and nothing of its fascination is gone. Thanks for your great work.
what is truly impressive is the fact that there are no ads... thank you by the way, and the music doesn't suck.. other than that... mandelbrot fractal.. it's a program ppl :D
@@Chaosman88 Gosh, answering so late. The answer is no. Even in this video you will see periods of circles that end by breaking all the way back to twofold symmetry.
Are we reaching the limit? What would happen in a 24 hour zoom into this wonderful equation? It would be funny if the spirals and mandalas eventually condense and start forming recognizable shapes. like humans, or DNA strands.... or aliens.
This is some of the most Amazing Art I've ever seen, it's a great Master Piece to me. Who ever made this knows what there doing and did a great job doing it.
@@primorelf8277 I asked chat GPT open AI "Are fractals made or discovered?" Answer: "Fractals are mathematical structures that are typically studied in the field of mathematics. They are discovered through the use of mathematical equations and computer algorithms, but they can also be observed in nature. Some examples of natural fractals include snowflakes, coastlines, and trees. Because they are a product of mathematical equations and algorithms, they are considered to be discovered rather than created."
@@primorelf8277 Related to this topic is: Is mathematics discovered or invented? Lots of philosophical discussion about that. But based on the videos in your playlist you're not really into these topics.
I amazed by your patience. I could never render a fractal zoom for that long, since I share a computer with my brother, who would want to play on it before the zoom is done rendering.
A lot of shapes I haven't seen before are in this one. The Mandelbrot set never ceases to amaze. I'm not a big fan of all the black gradients. Blacks paired with most other colors seems garish to me. Although I know it is good for highlighting shapes. I wonder if the formula could be tweaked to only leave step changes to black? Black does look good with the night sky colors though (star white blue and purple).
Might be a dumb question, but why is it that the last part of every really deep Mandelbrot zoom seems to run out of wild/interesting shapes, and just becomes a descent into a bullseye-like tunnel of ever-thinner circular bands that eventually ends at a minibrot?
No, it is a very interesting question, I think it is one of the most fascinating parts of the Mandelbrot. I deliberately end all (well most) of the videos on a minibort, it is a kind of a silly tradition. All minibrots are actually surrounded by a history of the zoom. From about the 1/2 way point of the video you actually see a replay of the entire 1st half but with 2-way symmetry, but using 1/2 the space. This is followed by a replay at 4-way symmetry using 1/4 of the space. Near the mini-brot the symmetry gets so high, and the spacing so dense that it looks like circles. Eventually this process collapses towards infinite symmetry, and a minibrot is found. You will see this on every Mandelbrot video (of 2nd power) that ends at a minibrot.
@@MathsTown watching the symmetry go to infinity is why most mandelbrot zoom videos end in a minibrot. Without that final minibrot, the zoom would feel incomplete. Therefore, it is not a silly tradition.
ive always wanted to render a mandlebrot set but i can never find a good software or anything. can you make a tutoiral or at least say the name of the software used?
