The Infinite Ocean - Mandelbrot Fractal Zoom (4k 60fps)

It is interesting how the Mandelbrot starts to look like terrain with the right settings. I designed a colour scheme that kind of reminds me of the bottom of an ocean, with that bluish tinge that you get from underwater photos. I made the iteration division very low in this one so that the colour changes quickly, emphasising the tube like structures. The stripes are made from 100 different shades of blue. A subtle lighting effect is also added which helps give it a three dimensional feel at times.

Best watched at high resolution, the YouTube compression has made some strange (but minor) artefacts. Make sure you pause in the second half and inspect the pattern on the valley floor. Patreons can already download the original high bit-rate version.

This keyframes were rendered with the fractal art software Ultra Fractal in 8k. The video was then complied in After Effects, down-sampled to 4k. This isn't an 8k upload, because YouTube just can't seem to process them correctly lately.

There is actually a minor glitch on the very last key-frame which is sad, I tried to render it correctly a few times, but it made Ultra Fractal hang.

Artist: Yi Nantiro

A huge thank-you to the Patreons that support this channel and make it possible. Likewise, thank-you to those who have purchased some merchandise.

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[MathsTown]

What you are looking at is a blend of mathematics and art. You don’t need to understand the mathematical side to enjoy these videos. Most of my subscribers are here for the relaxing and sometimes trippy visuals. Please hit subscribe, this is a pretty niche channel, and subscribers help! If you are interested in the mathematical side, here is an explanation…

This video shows a shape known as The Mandelbrot Set. It is a type of shape known as a fractal, and it is defined mathematically. The Mandelbrot has an infinite perimeter, and infinite detail. The longest video I have made is over 4 hours long (although I had to divide it into two, because YouTube spat it out). So, this video is just a small corner of the Mandelbrot. I spend quite some time searching around for interesting locations. Most of my videos are so deep that if the first frame was the observable universe, and you zoomed in, you would pass the size of an atom in about 5-10 mins (this video is not quite that magnified).

Fractals are quite similar to nature. Think of a coast line, if you measured with a 1 metre ruler, it would have a certain size. If you closely measured around each atom the size would be heading out towards infinity. As a result, fractals can look very organic. They are often used in movies for CGI effects. You’ll often see mountain ranges, smoke, clouds etc. generated from fractals.

The Mandelbrot Set is made from the simplest of equations (z=z^2+c). I just perform the calculation up to 100, 000 for each pixel in this video. It usually takes my 16 core (32 thread) CPU several days to complete a video.

The colouring is an entirely an artistic choice. What you are looking at is entirely 2D. The colour choices, and the specific colouring algorithm used gives it the 3D look.

The Mandelbrot Set has some fascinating properties. One is that you can find mini-Mandelbrots deep within the main set.

My favourite feature is not usually noticed at first (confusing explanation to follow…). The 2nd half of this video is actually a replay of the entire video, but at double the symmetry, and double the speed. (The entire video is replayed, not just what came before). In the second half you will see shapes from the 1st half, but they will be repeated (you don’t see the black mini-Mandelbrots repeat). The last ¼ has 4-way symmetry. The last 1/8 of the video has 8-way symmetry. Eventually all these symmetrical replays collapse at a single point, which becomes a mini-Mandelbrot. If you look closely at the final frame you will notice 128 symmetry, 256 symmetry, etc. This is not planned by me, it is just a mathematical coincidence I can’t explain yet.

Anyways enjoy! I spend quite some time designed the videos, I’m glad to see they are getting some exposure.

[wanderingwade]

"I'm trying to land commander. It's just not possible!"

[theblackhole]

Im just mad the zoom doesn't go where my eyes want to see

[StuMas]

My house is straight ahead - you can't miss it!

[supykun]

Where is the restroom?
"This way."

*_(This Video)_*

k now how to get back

[ufwprqh]

When it starts to kick in, everything becomes clear, unobstructed, just constantly falling, falling into this beautiful, mesmerizing unknown. Wow.

[snowcoalRC]

math test be like: Find the surface area of the given 3d figure

[masterpainters]

I've waited years, decades actually to be able to see this. From the first papers and books I read about fractals I could see this in my mind. It's so great to be in a place technologically where this kind of video can be made and watched. That's for sharing. I know I run a fine art channel but my background is as a programmer for the past 35 years so I just love this stuff. When I think about the colour plates in the first couple of fractals and cgi books I read and at the time seemed so amazing and cutting edge, they are so basic compared to this. Isn't technically and its progress just amazing. Thanks again and sorry for the long message. 😊

[JohnMooreVlogs]

I don't know why, but this video gave me an existential crisis. It makes me feel like I'm falling through an endless abyss. With no final destination, what is even is the purpose in falling...

[alexbombbird]

It looks like the pajama pants of an Infinite fractal child

[Coredor]

You have to let it go. And realize you have no grasp on what's behind and in front of you. When u let it go; u can be present; and shift the direction and creation you want. This video helps me have a better understanding of infinite.

[robertmcnab]

No matter how far you fall, you're always half way between the Alpha, and the Omega, and in the end, they are the same point. You are at once, infinite, and infinitesimal!

[NelsonsWings]

One of the most beautiful things I have ever watched. I'm awestruck. When I was a young man I wanted to be a mathematician. I lived the Mandelbrot revolution in the 80s. I eventually switched to computer science but math is my true love. I've not done the calculation, but this video feels like a scale from the observable universe to the Planck level. How far did this one go? BRAVO!!!

[Undergroundexpedition]

I wish my ceiling was a giant screen so I could fall asleep watching this.

[LordSterben]

It's just so peaceful, and especially with the choice of music. It's such a work of art that I'm glad I'm here alive. Peace ✌🏻

[DustyCowdog]

Road to infinity. It's like falling to the ground but never hitting. Awesome.

[ShawnaGraham]

Ground Control to Major Tom!
Absolutely beautiful and mesmerizing

[deborahlabreck]

Everything about this video was perfection. The speed, the music, the color. Wonderful! My life is a little better just from watching. Thank you. 💖💛💚💜💗

[blancadelgadodelgado]

The way it zooms, its fascinating!it really relaxes my mind and just completely leaving the world and just relax as if nothing is there yo stop me!this just made my day!!!

[francoislacombe]

Looks like an ever branching root system digging into reality itself to me.