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The Fractals Channel
Приєднався 31 жов 2023
This is a non-profit channel dedicated to making high-quality videos about zooming into various fractals.
Mandelbrot Set Deep Zoom - "Trees and Ornaments" ⁴ᴷ⁶⁰ | The Fractals Channel
"Trees and Ornaments" - A Deep Mandelbrot Fractal Zoom
You may get some Xmas vibes with this one, but nevertheless here's a fun fact: if you stare at the center of your screen for long enough and then pause, it may appear as though the patterns are "zooming out" or "contracting" even if they're not moving; this is called an illusion.
For best viewing experience purposes, it is recommended to watch at a higher resolution (up to 4K).
-----Zoom Info-----
Resolution: 3840x2160
Depth: 10^638
Iterations: 9,000,000
Total Render Time (keyframes + movie assembly): 21h
Software: Kalles Fraktaler 2, KFMM, DaVinci Resolve 19
All music in this video is by T. F. C. (aka me). If you dislike the music for personal reasons, you can always mute and play your own music in the background, or simply none at all.
This video is a non-commercial work of The Fractals Channel. If you like the work of this channel, consider subscribing, and comments are always appreciated.
You may get some Xmas vibes with this one, but nevertheless here's a fun fact: if you stare at the center of your screen for long enough and then pause, it may appear as though the patterns are "zooming out" or "contracting" even if they're not moving; this is called an illusion.
For best viewing experience purposes, it is recommended to watch at a higher resolution (up to 4K).
-----Zoom Info-----
Resolution: 3840x2160
Depth: 10^638
Iterations: 9,000,000
Total Render Time (keyframes + movie assembly): 21h
Software: Kalles Fraktaler 2, KFMM, DaVinci Resolve 19
All music in this video is by T. F. C. (aka me). If you dislike the music for personal reasons, you can always mute and play your own music in the background, or simply none at all.
This video is a non-commercial work of The Fractals Channel. If you like the work of this channel, consider subscribing, and comments are always appreciated.
Переглядів: 795
Відео
The Fractals Channel 1 year anniversary Mandelbrot zoom
Переглядів 2,8 тис.Місяць тому
This TFC episode is dedicated to the growth of this channel throughout the past year. Thank you to all who have subscribed, watched my videos, and given feedback in the comments. We made it to nearly 500 subscribers in the first year of the channel's operation, over what is relatively niche content. You may notice that this Mandelbrot zoom is an extension of the first zoom video I made back in ...
Pearls, galaxies and spirals in the Mandelbrot Set | The Fractals Channel
Переглядів 834Місяць тому
Explore in a more relaxed, less colour-dense zoom video of the beautiful Mandelbrot Set on this episode of The Fractals Channel. For best viewing experience purposes, it is recommended to watch at a higher resolution (up to 4K). Zoom Info Resolution: 3840x2160 Depth: 10^253 Iterations: 825,000 Total Render Time (keyframes movie assembly): 2h 06m Software: Kalles Fraktaler 2, KFMM, DaVinci Resol...
A deep zoom into the Armada of the Burning Ship Fractal
Переглядів 1,7 тис.Місяць тому
In this episode of The Fractals Channel we zoom into the detail lying beneath the "armada" of mini-ships along the real line. There are an infinite amount of ships here, but as you go deeper they become smaller and harder to reach. The "towers" of the ships get taller as well; we zoom into one of these. Colour palette chosen resmebles a "fire and water" theme, which goes well with fractals like...
Zoom into a skewed part of the Burning Ship fractal that de-skews itself | The Fractals Channel
Переглядів 3,9 тис.2 місяці тому
Some areas of non-analytic maps, such as the Burning Ship, can appear very compressed and distorted, and would require skewing in order to visualize the hidden secrets. However one unique property exists which can actually undo this compression without having to de-skew the image manually. In this video I demonstrate how this effect is achieved when zooming close to a skewed mini-brot. This hap...
Mandelbrot Set Zoom - "Starlight" ⁴ᴷ⁶⁰ | The Fractals Channel
Переглядів 14 тис.2 місяці тому
"Starlight" - Mandelbrot Fractal Zoom For best viewing experience purposes, it is recommended to watch at a higher resolution (up to 4K). Zoom Info Resolution: 3840x2160 Depth: 10^447 Iterations: 3,600,000 Render Time: 3h 40m (keyframes), 1h 55m (movie assembly) Software: Kalles Fraktaler 2 (key frames), KFMM (movie assmebly), DaVinci Resolve 19 (editing) This video is a non-commercial, non-cop...
Zoom into seahorse valley of 3rd power Mandelbrot Set | The Fractals Channel
Переглядів 1,8 тис.3 місяці тому
This video takes a brief dive into the seahorse valley on the bottom cardoid of the 3rd Power Mandelbrot fractal. It is similar in structure to the regular Mandelbrot except it is three-fold instead of two-fold. 3rd Power Mandelbrot Formula: z = (a b*i)^3 c, where c is a complex number; i is the imaginary unit For best viewing experience purposes, it is recommended to watch at a higher resoluti...
Mandelbrot Set zoom with traditional rainbow colouring
Переглядів 4,1 тис.3 місяці тому
Enjoy this simple Mandelbrot Set video with the classic rainbow colouring. The fractal's beauty can manifest even in the most basic of colour schemes. For best viewing experience purposes, it is recommended to watch at a higher resolution (up to 4K). Zoom Info Resolution: 3840x2160 Depth: 10^137 Iterations: 10,000,000 Render Time: 2h 03m (key frames), 55m (movie assembly) Note: This video came ...
Mandelbrot Set Zoom - "Sapphires and Emeralds" ⁴ᴷ⁶⁰ | The Fractals Channel
Переглядів 9 тис.6 місяців тому
"Sapphires and Emeralds" - Mandelbrot Set Zoom For best viewing experience purposes, this video is recommended to be watched at higher resolution. Zoom Info Resolution: 3840x2160 Depth: 10^195 Iterations: 3,000,000 Render Time: 1h 31m (key frames), 1h 02m (movie assembly) Music is by T. F. C. (aka me). If you dislike the music for personal reasons, feel free to mute and/or play your own backgro...
Burning Ship Fractal Zoom - "Lemniscate" ⁴ᴷ⁶⁰ | The Fractals Channel
Переглядів 9106 місяців тому
"Lemniscate" - Burning Ship Fractal Zoom For best viewing experience purposes, this video is recommended to be watched at higher resolution. Zoom Info Resolution: 3840x2160 Depth: 10^205 Iterations: 135,000 Render Time: 1h 16m Music is by T. F. C. (aka me). An ambient soundtrack fits well enough with deep and trippy fractal exploration videos. If you dislike the music for personal reasons, feel...
Perpendicular Mandelbrot Zoom - "Gemstones and Jewels" ⁴ᴷ⁶⁰ | The Fractals Channel
Переглядів 3,2 тис.7 місяців тому
This location inside the Perpendicular Mandelbrot fractal stands out in particular because not only is it disconnected apart from the rest of the set, but it does so by infinitely mimicking the shapes and intricate patterns of crowns, gemstones, pearls, and other jewelries. For best viewing experience purposes, this video is recommended to be watched at higher resolution. Zoom Info Resolution: ...
Burning Ship Fractal Zoom - 4K
Переглядів 4,1 тис.7 місяців тому
This is the Burning Ship fractal, which I mentioned before in my Perpendicular Mandelbrot zoom video earlier this year. It is essentially the Mandelbrot Set's "ugly cousin" as some have called it, named for its distinctive appearance resembling that of a "burning ship". It is a non-analytic fractal, so that means there will be sharp edges and disoriented geometry everywhere inside the fractal. ...
Mandelbrot Set Zoom near -7/4 point | The Fractals Channel
Переглядів 9 тис.7 місяців тому
In this episode we zoom close past by the point -7/4 (-1.75 0i), which is located right at the cusp of the largest minibrot on the real number line. It is within the elephant valley deep enough where the trunks of the bulb antennas and embedded Julia sets are very compact, nearly touching. This zoom-in video is recommended to be viewed at high definition on a large ideal screen. Mandelbrot Set ...
Quasi-Sierpinski Triangle in the Perpendicular Mandelbrot Set | The Fractals Channel
Переглядів 4,4 тис.9 місяців тому
The Perpendicular Mandelbrot holds some noteworthy quirks. This particular location has interesting detail; an iterative and recursive behaviour resembling that of the Sierpinski triangle, another famous fractal. It isn't exactly that, but there are some similarities. This zoom-in video is recommended to be viewed at high definition on a large ideal screen. Quasi-Sierpinski Triangle in the Perp...
Mandelbrot Set Zoom - 4K
Переглядів 3,1 тис.9 місяців тому
The Fractals Channel is now available to be viewed in 4K. Enjoy the smoothness and beauty of this Mandelbrot fractal zoom at UHD resolution. In this video we go deeper, past the magnification depth of a googol more than five times over. There were 1,733 key frames each rendered at 3840x2160 resolution using a 32-thread Intel i9-13900K CPU for a total of 5 hours. This zoom-in video is recommende...
Perpendicular Mandelbrot Set Zoom, odd symmetry and disoriented Burning ship like geometry
Переглядів 11 тис.11 місяців тому
Perpendicular Mandelbrot Set Zoom, odd symmetry and disoriented Burning ship like geometry
Mandelbrot Set Zoom with elemental colouring
Переглядів 5 тис.Рік тому
Mandelbrot Set Zoom with elemental colouring
Mandelbrot Set Zoom into elephant valley of minbrot
Переглядів 7 тис.Рік тому
Mandelbrot Set Zoom into elephant valley of minbrot
Mandelbrot Set zoom into seahorse valley
Переглядів 3,4 тис.Рік тому
Mandelbrot Set zoom into seahorse valley
Someone told the ship to "get your stuff together
I know where the black comes from, but where do the colors come from?
The black indicates that the complex point is a part of the set, i.e. the point failed to escape to infinity when applied to the recursive formula for a set number of iterations. The colours indicate that it went off to infinity but how specifically LONG it took to escape the boundary when applied to the recursive formula.
@ that makes a lot of sense, thanks
😊wonderful Thank you In coas of world The fractal keeps it together ❤️ 😮🎉 Like music too.
For amateurs: A perspective that is good (and fun) to remember: when you watch any of these Mandelbrot dives you get the strong sensation that you are passing features -- going _through_ the thing. But you're not. The entire set is on one plane and you are just magnifying it more and more. Or just getting closer and closer to it. Your POV has never reached or passed any of it. Also, you may get the impression that your direction changes slightly, from time to time. It doesn't. The trip is a straight line and perpendicular to the plane of the set. Finally, after watching one of these for several minutes, be ready for it to look like you are starting to move away when you stop "descending". You're not. That's your brain recovering from that constant outward motion. For fun, watch the dive for a couple of minutes and then look at one spot in your room. WOW! It's shrinking! Oh, and you don't have to wait until the end of the trip to get that after-effect. Just pause at any time.
I love the fact this is just numbers
Im just throwing this out there, and perhaps its been thought of already, but is there a function of pi that could be fractalized? ( not sure if thats the right terminology) Perhaps pi might hold some interesting geometry. Idk, just throwing spaghetti at the wall lol
Absolutely amazing. As a physics buff, the implications are mind-blowing. What if, like these fractals, the universe seems dialed in because of a simple logarithm is dictating the geometry of spacetime and therefore the appearance of particles? I watch this video and I see geometry. Wavefunctuon superposition playing out in time. Maybe the mandlbrot set or the julia set is not the solution but perhaps it's illuminating to show there must be some similar function that produces the phenomenon of reality we experience. Information and spacetime maybe nothing more and the evolution of this function across an everexpanding field of spacetime.
Yes. Infinite complexity with a character and phase space. Where does the emergent patterning come from? I think it's simply from quantisation of logical quantum states.
Why does the song at the beginning sound a bit like that one Silent Hill song used for the Donkey Stare meme?
is that a falling snowflake effect?
Cool
How is this possible ?
Serenity
Where do you find this music bruh???
Very cool
This is a perfect blend of science and art. Absolutely stunning.
Coordinates for the mini-burning ship?
This feels like the next youtube checkpoint
What is the equation for this?
Burning Ship Fractal formula: z = (|a| + i*|b|)^2 + c, where a and b are the real and imaginary parts of z respectively; c is a compelx number; i is the imaginary unit
What would a burning ship with completely unskewed parts look like
tiene un helicoidal?
the snow is kinda awesome my guy
Whoa! I did something like this during my private explorations!
that snow effect disoriented me so much but i love it
What was ghe first song called?
it's my own music, made specifically for this channel
wow
First
0:31 0:34 0:35 0:35 0:35 0:35 0:36 0:36 0:36 0:37 0:37 0:37 0:38 0:38 0:38
Perfect
nice! ride the spirals, catch some voids, spiral the other way. Unbelievable. Love the faces, eyes, hearts, and brains! ty, nice one!
What substance are you zooming into?
Numbers, energy, waves, particles Hopes this helps 🙏
Math salts
Yes
Fantastic and a wonderful AI created artwork.
1:11 oh what this black ⚫
the black dots aren't actually part of the set, they're only there due to the limited iteration count. to get them to disappear you need more iterations (which during the rendering process Kalles Fraktaler will automatically decrease to optimise computational performance).
Hi. What do you mean by “perpendicular”?
possibly to do with the geometry (in this fractal the symmetry is mirrored rather than rotational).
Most beautiful ever
Can you upload this colour Palette somewhere? This looks awesome. Would explore the Mandelbrot with this palette myself!
Структура нейросети восприятия человека...
Мандельброт - голова... был.
Сука, аж точку сборку защекотало ..
I like the particles. It suggests a deeper field/space.
0:38 burning ship
beautiful fractals as always
understanding, that we can see infinity space in these sets, and even make a lot of them - just incredible
Simply beautiful. Shared with my daughter, she asked "How'd they do this, it's awesome!"... I said"The short answer: numbers!" Thanks for bringing these to the world. P.S., I love your choice of music!🤯😁
Thanks, the music is of my own work, created using FL Studio 21. I have mentioned this in my newer videos. I also plan on making the music publicly available for commercial use sometime in future.
@@TheFractalsChannel99THAT'S COOL
Why is there a bs
just happened to find it while exploring I guess. I think its because their formulas are quite alike and so they both exhibit similar behaviour.
Thankyou !
remove the white particle thingies it looks bad
can you not add particles to the videos please
✌🏼aint gonna lie😇i like it better at .75 speed,,,freaking 2.0 just makes me wanna get dosed✌🏼
So many sides of this universe! My favourites: 7:22 and 5:53 and many more. <3 Thanks a lot!! 🙂
very nice!
I'll try to visualize this when my soul leaves this dimension - thank - I've played with fraktint? a lot
The Mandelbrot set is so mesmerizing and complicated that some people just give up trying to explain it and slap a "proof that God exists" label onto it lol
@@DoomRutabaga Yes, that is nonsense of course, such as "this is the face of God". But on the other hand, the Mandelbrot set is an Eternal Truth, in the sense that anyone who calculates it at a certain complex point should get the same picture, modulo their choice of coloring. It is an example of perfectness. If God exists, It should encompass all eternal truths including all of mathematics that has been discovered and ever will be discovered. So if you believe in God but don't want to project any human concept of It, the Mandelbrot set would surely be in It (in God). So in a sense this is one aspect of God and it is indeed infinite, resplendent and eternal. All religious texts refuse to define what God actually is and speak of something ineffable. The Mandelbrot set exists outside of time and space as an idea. An actual Platonic Ideal. It is what it is, just like God is supposed to have said "I am what I am". Personally, I don´t like religions at all, and all of them sooner or later turn sour and have lead to suffering instead of hope and peace. But if there is anything more to the origin of existence and the universe, and our consciousness transcends our physical existence, I image the ability to perceive the universe and the spiritual worlds all at once, outside of time and space. As if you would perceive the entirety of the Mandelbrot set at any point at once in infinite detail, instead of always having to zoom in at a certain site and admire the picture. The limited nature of physical existence is like that. But the infinite detail of the Manderbrot and its sheer undeniable beauty is what the spiritual realm would be like. An infinite place, for infinite beings, like I imagine our souls to be. We'll find out when we die I suppose.
@@DoomRutabagaseems Fair, you can find structures beyond conphrension in the set:|