Such a great zoom. I love that we pass through such a beautiful variety of structures made of the main repeating.... uh, amoeba? I'll wish the camera was headed toward a neat looking point only to find that we _do_ pass through one just like it many iterations deeper. I really feel like I got to see a little of everything.
I remember a computer program from the 80s. In Germany it was called "Apfelmänchen" or "Mandelbrot". My brother had a Commodore 128 from the 80s with which one could create such pictures. That often took 12 hours for a single picture. Now I have found it again here with you ✌😎👌
Fractals like this would be a cool way to encrypt data. Just pick a set of X/Y start coordinates and a zoom factor and use the resulting pixel colors to mask and encrypt the data with. Hard to brute force because instead of each iteration lasting nanoseconds, each iteration would take as long as this video as they'd basically have to start at 0,0 and zoom level 1 and compare all the pixel colors against all the data. Then they'd have to zoom in 1 level and try again. Yet the decryption key would only be coordinates and zoom level.
I like the classics! I have a question about slope shading, which I assume to be the smooth gradients between the filigree. Does the set yield values in those regions that vary smoothly, or are you interpolating to provide a smooth color gradient? Any hints to the algorithm?
Sure... There are 2 different techniques multiplied together. Smooth Colouring: www.iquilezles.org/www/articles/mset_smooth/mset_smooth.htm Slopes (angle), to get the slight 3D lighting effect: Sample the nearby pixels to work out the angle in which the iteration count is increasing most. (sample x and y, and use atan2 to calculate the angle). Use this angle value to colour light to dark. I hope that helps!
@@MathsTown Maybe my set up but i get a stop frame every 8 seconds or so Barely perceptible to most but i find it a bit irritating but as i say might be my system but it only happens on your videos! Still love your work keep them coming!
![Eye of the World - Mandelbrot Fractal Zoom [Depth 4e1028]](http://i.ytimg.com/vi/ZiuZeBwamJ8/mqdefault.jpg)
![Eye of the World - Mandelbrot Fractal Zoom [Depth 4e1028]](/img/tr.png)
Fabulous as always, never get tired of it.
Just when I think it cannot possibly get more beautiful......
You did it again Maths Town!
Thank you ever so much and all the best!
I love it. The colors are incredible, and the rapid fire diversity is spellbinding.
Such a great zoom. I love that we pass through such a beautiful variety of structures made of the main repeating.... uh, amoeba? I'll wish the camera was headed toward a neat looking point only to find that we _do_ pass through one just like it many iterations deeper. I really feel like I got to see a little of everything.
This is like some kind of visual ASMR
I remember a computer program from the 80s. In Germany it was called "Apfelmänchen" or "Mandelbrot". My brother had a Commodore 128 from the 80s with which one could create such pictures. That often took 12 hours for a single picture. Now I have found it again here with you ✌😎👌
Absolutely wonderful the colors the music just love it🤩❤❤❤❤
I dream lands of electric paisley. Always a joyful ride. Thanks.
Really cool zoom
Flawless! Thank you for sharing.
I see an everlasting vine of gems.
Fractals like this would be a cool way to encrypt data. Just pick a set of X/Y start coordinates and a zoom factor and use the resulting pixel colors to mask and encrypt the data with. Hard to brute force because instead of each iteration lasting nanoseconds, each iteration would take as long as this video as they'd basically have to start at 0,0 and zoom level 1 and compare all the pixel colors against all the data. Then they'd have to zoom in 1 level and try again. Yet the decryption key would only be coordinates and zoom level.
NCIS the TV show had a similar thing where they used Lava Lamps.
A shower of flowers, very appropriate for springtime, if you are in the northen hemisphere of course. 🌺🌸💐😁👍
Gorgeous and very enjoyable! Thank you!
Great spirals!
Mini-decabrots! Mini-decabrots everywhere!
Super interesting
Beautiful! 😎
SUPER Arbeit 👍👌💪❤️🌍🙏🌈
Beautiful thank you 😎
double upload :)
But I prefer a comparison with this and the other Mandelbrot Set in your second channel :)
i have not been more at peace in over a decade.
Завораживает
I like the classics! I have a question about slope shading, which I assume to be the smooth gradients between the filigree. Does the set yield values in those regions that vary smoothly, or are you interpolating to provide a smooth color gradient? Any hints to the algorithm?
Sure... There are 2 different techniques multiplied together.
Smooth Colouring: www.iquilezles.org/www/articles/mset_smooth/mset_smooth.htm
Slopes (angle), to get the slight 3D lighting effect: Sample the nearby pixels to work out the angle in which the iteration count is increasing most. (sample x and y, and use atan2 to calculate the angle). Use this angle value to colour light to dark.
I hope that helps!
Trying to explain myself how this is done in a plain, comprehensive way (in other words, for someone that has no clue). I thank you in advance!!
Decabrot is the official term now: Who can stop it?
Looking forward to nonabrot!
Unobrot doublebrot tribrot quadabrot quintabrot sextupabrot septupabrot and so on
@@Blue-hs9tv Unibrot (just a circle) / Duobrot (mandelbrot) / Tribrot / Tetrabrot / Pentabrot / Hexabrot / Heptabrot / Octabrot / Nonabrot / Decabrot
When will the Spaceship finally find a place to land
Why on earth would anyone watch this for over an hour?
yesss im 2nd! What program do you use to make these animation?
Kalles Fraktaler for this one.
@@MathsTown ooh im going to have to get that once I move out of my MacBook
So abstract
All the proof I need to believe in the idea of infinity….
Loved it but still jerky it would be so much better if smooth!
It is smooth for me.
@@MathsTown Maybe my set up but i get a stop frame every 8 seconds or so Barely perceptible to most but i find it a bit irritating but as i say might be my system but it only happens on your videos! Still love your work keep them coming!
What is the purpose of these patterns ?
I suggest you read a biography of Benoit Mandelbrot, the mathematician who devised this complex equation, which is beyond my comprehension.
Good❤❤❤💜💜💜🌹🌹🌹💗💗💗
☺️👍🌼💮🌸
Hey!