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 KZfaq 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.

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

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

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

Your camera has good zoom

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. 😊

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...

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

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!

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

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.

Where is the restroom? "This way." *_(This Video)_* k now how to get back

It looks like the pajama pants of an Infinite fractal child

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

This is how the universe is

Color scheme reminds me of Doctor Seuss.... Oh what places you'll go!

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

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

When I scrolled by this video everything moved

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!!!

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

I just had a soulgasm...

Ground Control to Major Tom! Absolutely beautiful and mesmerizing

Thank you very much for sharing this wonderful experience. Watching it really made my day

the cool thing is that nature itself works like this

Fascinating! I love how the texture changes when the stripes emerge into visibility as the zoom deepens.

Pure gold Love it watching this in 4k is insane!

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 ✌🏻

I stared at this for the entire video and now everything looks like it's shrinking.

Makes me feel like I'm falling from space into an unexplored planet.

Feels like absolute infinity

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!!!

So we really do live inside the eye of a blue eyed giant named Giuseppe after all.

When the zoom stopped, my brain kept going :) Great video, can't understand anyone hitting dislike on this...

Absolutely brilliant-stunningly mesmerizing! The mathematical aspect is certainly fascinating but the visual depicted herein combined with perfect audio makes for an awesome and peaceful journey of the senses! I’m digging this, man!

thanks for the 4K 2160p it's incredible !

Fantastic! Traveling down the trunk of a giant ancient Banyon tree, only to never reach the bottom!

Oh, the Places You'll Go!

This video with the music really hit hard on me. It was like this communicated a glimpse of understanding or realising how real infinity is in our universe. It is easy to accept that the universe is infinite as if it was finite it wouldn't make sense, but feeling the implications in you core is difficult. But it felt like this video at least managed to give glimpse of it. Goosebumps man.

Will definitely share this with others. Very beautiful computer art using fractal geometry.

This is fantastic loved every second of it.

Made insomnia totally worthwhile!

This is some advanced-next-level-and-beyond right here... 👍

Everything is relaxing in this video. Many thanks @Coloredspaces

Wow so mesmerising and gorgeous!

Beautiful! Love the colors, love the music.

It’s strange because it’s relaxing but also gives me anxiety at the same time. Like your your falling into this perfect never ending shape knowing that there is no start or finish. That the further you go the no closer you get to the bottom. There is no start so there is no end.

Congratulations! These are stunning videos.

Wow this is my favorite Mandelbrot video I've ever seen!

Thats how the Titanic must have felt when it sunk

Amazing and hypnotic!! Thank you..

This is so ..... I don't have words. This is just so beautiful.

My walls are changing colors

This totally melts my mind.

MandelTubes on KZfaq! This is a new favorite I've watched many times now. I love the cool blue colors, and the way this palette brings out the "tubes" which seem especially prominent out on the needle, so good choices all around.

Brilliant! Pattern repeats infinitely and is common in nature and the universe...and so it is divine 😲

So nice. Beautiful.

I love how it ended ! Meaningful

This is simply a masterpiece!

I have never been subject to vertigo, except for once my in whole life, the first time I "dived" into a Mandelbrot Ensemble. And it was by manually zooming x2 each time. I figured like I had some kind of document on my screen, and each zoom would double the size of this document. And I wrote these measures on a writing pad on my desk. About the time I figured I was looking at a 30cm detail of a document that would measure about twice the distance from the Sun to beyond Jupiter, nearly a billion miles, I was grabbing my desk, and feeling completely disoriented. That's how powerful the M-Ensemble was to me ! Bravo for your magnificent video !

I wonder how it looks upwards

I know it's a fractal but the end really caught me off guard

So beautiful I can't comprehend. Just like nature

Thank you 🙏 Such an artistic expression.

This is the most elaborate abyss.

Its like some incredible alien planet

This is simply awesome!!

Absolutely beautiful. It leaves a person speechless! Thank you for sharing.

Beautiful

This hurts my head but its so cool.

Well! the climb back!!. Great video,Thank you.

Your choice of music is always superb

This is the best thing ever

The secret to life...is Mandelbrot!

That's one beautiful set of numbers. Very nice color scheme.

I could watch this forever x

Mind blown, but in an exquisite way...Now I think I know what lawnmower man sorta experienced. Hook me up Pierce!!

Wow! That was deep!

This is Amazing ... the whole fractal thing sets my internal 'nerd' into high gear .. The music was a hauntingly beautiful, perfect choice... Viewing on a LARGE screen IS the way to go ... ( high def TV)

This is beautiful!

Oh, hey, I've actually been there in person! The landscape is beautiful, but it's easy to get lost. Walking back along the creek seems to take forever. There are no people, and no sound but the wind and an occasional eerie groan from somewhere in the distance, or maybe everywhere. Be sure to bring a lantern and some bug spray -- it is always twilight, and the mosquitoes are enormous and have an infinite number of mouths. They never seem satisfied. I'm not sure it's safe, either... I kept seeing some kind of large animal a ways behind me and to the right, but it was always perfectly still, except a couple of times when (unless the weird lighting was tricking me) it looked like it moved a long distance toward me in one impossibly quick burst, and then was hidden behind a hill. Its face was a fractal too, with its eyes made of tiny mouths and its mouths, in turn, made of tiny eyes. At that distance I couldn't see it well enough to tell but I think its recursively branching limbs might have been made of eyes too.

It's fascinating and uncomfortable at the same time.

Gorgeous,simply gorgeous.

You did a great job on this. Excellent!

This is what you see when you're in the 'sunken place'

Worlds within worlds within worlds...

Yeah, man, it can look like anything. It’s amazing!

I gonna watch this again with a buzz on. Thanks!

It’s almost humbling

Get to the bottom already... Arhhhh!!!

I love this so much! I played around with Tierazon for years, but my computer couldn't render to this kind of detail. And there was the Mandelbrot right at the end!!! Oh, symmetry from chaos ❤

INCREDIBLE!

It would be impossible to build such a world. The atom does not shrink.

Who else perceives movement in the image after it stops:-)

I’ve been to this type of place also like the other pink and purple fractal video you’ve made, in one of my dreams in particular that I still vividly remember. It was like adventure time and I was accompanied by some interesting looking characters but we were all friends like I knew them and I was fearless ready to explore!

Beautiful. Mesmerizing. And I laughed when this trip ended right where it began. But that's how the Mandelbrot set works. There are theoretically an infinite number of mini-Mandelbrots contained within the main one, each different from all the others in ways both dramatic and subtle. I would use this video as video demonstration material.

Eventually you meet the pixies of chaos.

Incredible. Almost like when I was in high school in the 60's and doing acid. Great video.

Bloody fantastic

Awesome. Its an endless journey.