Can anyone tell me why everything seems to just revolve around the zoom point? I wonder why it does never go into some sidearm anymore, instead its always the center, while in the beginning of zoom videos you keep going to places you might not have expected and after a few hours it will always and everytime just zoom into the center of a structure completely revolving around the zoom point. I wonder why that is? Is there some part of the algorithm that backpropagates and then somehow influences the mandelbrot generation? Im just clueless why it revolves just around the center point and never goes into sidearms anymore. Thanks if anyone knows this
@@tagunprice9762 Can you give me a timestamp? No they calculate a mini mandelbrot and then let the zoom render in a program spitting out Video files. Im wondering if theres just no mini mandelbrots in those extremely large structures that seem to revolve around the center point
It revolves because the algorythm creates spirals. That's the structure of the mandelbrot. If you would go inside another sidearm you just find more infinite spirals. so nothing is revolving or rotating. it just zooms into a spiral
I wonder, has anyone ever done an analysis of the symmetries of scale for these ultra-deep Mandelbrot zooms? Are similar features separated by a constant scale factor, like Feigenbaum's Constant determines where the bifurcations are in the Logistic Map? It wouldn't surprise me if that scale factor WAS in fact Feigenbaum's Constant! In watching these videos, it sure seems to me that the geometry follows a cyclical pattern as you zoom in deeper and deeper. At the times listed below, a distinctive pattern appears, all very similar, differing in the number of lobes in the pattern and number of turns of the spiral bands. Around the outside are seahorse-like shapes that turn clockwise, inside those are the distinctive smooth shaded spiral bands, which are terminated by more seahorse lobes on the inside. I scanned video #4 and found DOZENS of these similar shapes. In this video, I scanned the start and the end of the zoom. Please see these times and tell me if you think they are similar. 0:00:16, 0:01:10, 0:01:50, 0:02:46, 0:06:19, 1:59:00, 2:00:19, 2:02:12 There are MANY other geometries that repeat as the zoom goes deeper. I found it useful to "nickname" geometries, to make them easier to remember, like "Sparse zigzag spokes with Julia sets" 0:05:03, and "Eight straight seahorse spokes" 0:03:40. I think I'll set up a spreadsheet with my nicknames, and record at what times they appear, and what comes next. Thoughts anyone?
Well, with my very limited understanding of fractals, I can tell you a few things: - This is relatively simple: julia sets will double at every occurence of them (however, from what I would guess, before you actually zoom into a minibrot, that part of the zoom doesn't count, so if you had a zoom that zoomed into/close to a minibrot at 1e10 and it ended at 1e200 with no deeper minibrots involved, that would be 1e105 where it doubles, and when you start zooming into a point of the minibrot past that you would have to not deviate away from that point; the way to do this quickly is called Newton-Raphson zooming) - You can have several zooms into minibrots, and they will continue to go deeper into detail with the julia sets. They won't double into infinity before the next part of the fractal because that is based on the julia set you zoomed into ...but what does THAT mean? well, the configuration of the zoom is based on how you START zooming into it. Let's suppose you have a zoom that goes into a spiral, and then exits that and goes somewhere else. When you zoom back into a point with a minibrot, you'll notice that spiral, and how long that spiral is will be based on how long you zoomed into that before going towards a point where there is a minibrot. ...but how does the fractal "know" where a new julia set will be generated (and double every time)? well, if you zoom into a location AFTER the "last" julia set doubles, then a new infinite "doubling group" of julia sets will generate. You can generate Julia sets for a spiral from a point on the mandelbrot with a spiral, right? Well, if so, you'll also be able to generate julia sets at the equivalent location of that place. If it's very far, it may appear as a dot, which often produces a satisfying effect. (other times, you'll notice pairs of two dots, or, if it's closer along the minibrot, you will notice more complex shapes such as spirals) hope this helps you! however, one extra thing: the particular pallete generation used by Adam (the creator of this channel) uses white, color 1, black, color2 with color1 and color2 changing every time. This can be generated using the pallete features of Kalles Fraktaler 2. If you have any questions, just ask! I know this explanation can be VERY confusing. I also don't know too much about this, so I may be wrong in some parts.
@@fractaltinker Thank you very much for such a well thought out and in-depth answer. I had to read through it several times to begin to grok what you are saying, and it's food for thought, the way Julia and Mandelbrot interact with each other. You mentioned shifting the center of zoom, which I have noticed several times in my viewing of these videos. Your mention of doubling is very interesting, because this is exactly what happens to the Logistic Map, until Chaos sets in. It is my understanding that the Logistic map is actually displaying the behavior of the Real part of the Mandelbrot Iteration, so Feigenbaum's Constant is intimately related to the Mandelbrot Set.
Likely, another noticable thing is that it rarely changes to a new view from the main tunnel at this point, exactly at the same point the glitch occurs. It seems like its a error in the Fractal generator program and not the compression of the video since the missing part doesnt get scaled down but replaced by a simpler part of the fractal Edit: NVM i thought you meant the error at 1:00:46 in the middle
![[NEW 2021] - Simulated Interdimensional Travel - Psychedelic Fractal Visuals [4K, 60fps]](http://i.ytimg.com/vi/JKe0gryiCCw/mqdefault.jpg)
when you zoom ALL the way through the Mandelbrot, you meet god
To boldly go where no mapper has gone before. 😎 Well done.
What a long, long trip we're on, but I like it.
Gooood performance !!!
Congratulations !!!!
it would be nice to have a tiny label with current zoom value somewhere in the corner
Can anyone tell me why everything seems to just revolve around the zoom point?
I wonder why it does never go into some sidearm anymore, instead its always the center, while in the beginning of zoom videos you keep going to places you might not have expected and after a few hours it will always and everytime just zoom into the center of a structure completely revolving around the zoom point.
I wonder why that is? Is there some part of the algorithm that backpropagates and then somehow influences the mandelbrot generation?
Im just clueless why it revolves just around the center point and never goes into sidearms anymore. Thanks if anyone knows this
I thought people just chose where they wanted to zoom. I saw at least one point where it changed directions in this video.
@@tagunprice9762 Can you give me a timestamp?
No they calculate a mini mandelbrot and then let the zoom render in a program spitting out Video files.
Im wondering if theres just no mini mandelbrots in those extremely large structures that seem to revolve around the center point
It revolves because the algorythm creates spirals. That's the structure of the mandelbrot. If you would go inside another sidearm you just find more infinite spirals. so nothing is revolving or rotating. it just zooms into a spiral
I don't know how you found this rabbit hole, but it looks like the black hole of the mandelbrot. OMG! Just fantastic!
I completely agree. My frontal lobe is buzzing!😮😮😮
I wonder, has anyone ever done an analysis of the symmetries of scale for these ultra-deep Mandelbrot zooms?
Are similar features separated by a constant scale factor, like Feigenbaum's Constant determines where the bifurcations are in the Logistic Map? It wouldn't surprise me if that scale factor WAS in fact Feigenbaum's Constant!
In watching these videos, it sure seems to me that the geometry follows a cyclical pattern as you zoom in deeper and deeper.
At the times listed below, a distinctive pattern appears, all very similar, differing in the number of lobes in the pattern and number of turns of the spiral bands. Around the outside are seahorse-like shapes that turn clockwise, inside those are the distinctive smooth shaded spiral bands, which are terminated by more seahorse lobes on the inside. I scanned video #4 and found DOZENS of these similar shapes. In this video, I scanned the start and the end of the zoom. Please see these times and tell me if you think they are similar.
0:00:16, 0:01:10, 0:01:50, 0:02:46, 0:06:19, 1:59:00, 2:00:19, 2:02:12
There are MANY other geometries that repeat as the zoom goes deeper. I found it useful to "nickname" geometries, to make them easier to remember, like "Sparse zigzag spokes with Julia sets" 0:05:03, and "Eight straight seahorse spokes" 0:03:40. I think I'll set up a spreadsheet with my nicknames, and record at what times they appear, and what comes next.
Thoughts anyone?
Well, with my very limited understanding of fractals, I can tell you a few things:
- This is relatively simple: julia sets will double at every occurence of them (however, from what I would guess, before you actually zoom into a minibrot, that part of the zoom doesn't count, so if you had a zoom that zoomed into/close to a minibrot at 1e10 and it ended at 1e200 with no deeper minibrots involved, that would be 1e105 where it doubles, and when you start zooming into a point of the minibrot past that you would have to not deviate away from that point; the way to do this quickly is called Newton-Raphson zooming)
- You can have several zooms into minibrots, and they will continue to go deeper into detail with the julia sets. They won't double into infinity before the next part of the fractal because that is based on the julia set you zoomed into
...but what does THAT mean? well, the configuration of the zoom is based on how you START zooming into it. Let's suppose you have a zoom that goes into a spiral, and then exits that and goes somewhere else. When you zoom back into a point with a minibrot, you'll notice that spiral, and how long that spiral is will be based on how long you zoomed into that before going towards a point where there is a minibrot.
...but how does the fractal "know" where a new julia set will be generated (and double every time)?
well, if you zoom into a location AFTER the "last" julia set doubles, then a new infinite "doubling group" of julia sets will generate. You can generate Julia sets for a spiral from a point on the mandelbrot with a spiral, right? Well, if so, you'll also be able to generate julia sets at the equivalent location of that place. If it's very far, it may appear as a dot, which often produces a satisfying effect. (other times, you'll notice pairs of two dots, or, if it's closer along the minibrot, you will notice more complex shapes such as spirals)
hope this helps you! however, one extra thing: the particular pallete generation used by Adam (the creator of this channel) uses white, color 1, black, color2 with color1 and color2 changing every time. This can be generated using the pallete features of Kalles Fraktaler 2.
If you have any questions, just ask! I know this explanation can be VERY confusing. I also don't know too much about this, so I may be wrong in some parts.
@@fractaltinker Thank you very much for such a well thought out and in-depth answer. I had to read through it several times to begin to grok what you are saying, and it's food for thought, the way Julia and Mandelbrot interact with each other. You mentioned shifting the center of zoom, which I have noticed several times in my viewing of these videos. Your mention of doubling is very interesting, because this is exactly what happens to the Logistic Map, until Chaos sets in. It is my understanding that the Logistic map is actually displaying the behavior of the Real part of the Mandelbrot Iteration, so Feigenbaum's Constant is intimately related to the Mandelbrot Set.
What happened at 1:00:49?
Lessss goooooo 1 more day
Why are parts 4 and 5 hidden and unavailable?
Fixed
Too deep man, you might fall out the other end
😎✨️
A huge glitch at 1:00:50, probably related to the use of kf2.15
Its a shame I didn't notice it earlier. Ah well..
@@MathsTown I notice this problem using 2.15. Solved by 2.14 on the same frame which is slower using many references.
Weird glitch at 1:00:20 … perhaps some error in the compression algorithm?
Likely, another noticable thing is that it rarely changes to a new view from the main tunnel at this point, exactly at the same point the glitch occurs.
It seems like its a error in the Fractal generator program and not the compression of the video since the missing part doesnt get scaled down but replaced by a simpler part of the fractal
Edit: NVM i thought you meant the error at 1:00:46 in the middle
😊
Error at 1:00:52
Not an error. He was approaching a minibrot and that’s where he diverted slightly to go deeper.
@@switchedonbachunpluggedmpd2297pay attention to the plus