Uploaded August 2024 | Updated September 2026, 2 weeks ago
The deepest Mandelbrot zoom ever! This zoom is over 24-hours long, uploaded to YouTube in 11 parts. It will finish on a mini-Mandelbrot. As such, I am claiming a world record for the deepest Mandelbrot video! I have kept to the traditional colouring style for this one. Consider playing your own music while you let this one roll. Sit back, relax, and soak it in.
This will be the only time I ever attempt a video this deep. Rendering around the final mini-Mandelbrot is just too computationally expensive to try again; I have other things I wish to achieve now. If you wish to claim the deepest Mandelbrot title, and would like me to acknowledge it, here are my conditions: It must finish on a mini-Mandelbrot, it must be rendered in at least 4k, it should double in depth no faster than once per second, and you should publish the coordinates.
Finally, a huge thank-you to my supporters on Patreon, and my loyal subscribers who have made this channel possible! If it wasn’t for you, this content would not exist.
Full playlist of this zoom: youtube.com/playlist?list=PLKHNByHfHxT4Gl01oxGmuK5UGPkbUTjll
I always turn off mid-roll ads so you don't get interrupted! You can support this practice by joining Patreon, super-thanks, or making a direct one-time donation: donate.stripe.com/7sI9DOaJ96wadpu9AC
This video will be available for Patreons to download in the coming days, which will have a higher bitrate. You can also use these visuals on your own channel or commercially if you are a member of my Patreon page. patreon.com/mathstown
/********************************************************************************
Patreon: patreon.com/mathstown (Support, Downloads & Usage Rights)
Direct Donations: donate.stripe.com/7sI9DOaJ96wadpu9AC
Ko-Fi: ko-fi.com/mathstown (Buy me a coffee)
Website: https://www.maths.town
Twitter: twitter.com/MathsTown
Discord: discord.gg/YphYVt787v (Drop by and say hello)
********************************************************************************/
Music from Epidemic Sound: epidemicsound.com/referral/ekoiev
(Easily the best source of music for creators!)
#Mandelbrot #fractal #mathstown #fractals
The deepest Mandelbrot zoom ever! This zoom is over 24-hours long, uploaded to YouTube in 11 parts. It will finish on a mini-Mandelbrot. As such, I am claiming a world record for the deepest Mandelbrot video! I have kept to the traditional colouring style for this one. Consider playing your own music while you let this one roll. Sit back, relax, and soak it in.
This will be the only time I ever attempt a video this deep. Rendering around the final mini-Mandelbrot is just too computationally expensive to try again; I have other things I wish to achieve now. If you wish to claim the deepest Mandelbrot title, and would like me to acknowledge it, here are my conditions: It must finish on a mini-Mandelbrot, it must be rendered in at least 4k, it should double in depth no faster than once per second, and you should publish the coordinates.
Finally, a huge thank-you to my supporters on Patreon, and my loyal subscribers who have made this channel possible! If it wasn’t for you, this content would not exist.
Full playlist of this zoom: youtube.com/playlist?list=PLKHNByHfHxT4Gl01oxGmuK5UGPkbUTjll
I always turn off mid-roll ads so you don't get interrupted! You can support this practice by joining Patreon, super-thanks, or making a direct one-time donation: donate.stripe.com/7sI9DOaJ96wadpu9AC
This video will be available for Patreons to download in the coming days, which will have a higher bitrate. You can also use these visuals on your own channel or commercially if you are a member of my Patreon page. patreon.com/mathstown
/********************************************************************************
Patreon: patreon.com/mathstown (Support, Downloads & Usage Rights)
Direct Donations: donate.stripe.com/7sI9DOaJ96wadpu9AC
Ko-Fi: ko-fi.com/mathstown (Buy me a coffee)
Website: https://www.maths.town
Twitter: twitter.com/MathsTown
Discord: discord.gg/YphYVt787v (Drop by and say hello)
********************************************************************************/
Music from Epidemic Sound: epidemicsound.com/referral/ekoiev
(Easily the best source of music for creators!)
#Mandelbrot #fractal #mathstown #fractals


![The Logistic Map - Fractal Zoom
This video is a little demonstration that the Logistic Map equation is in the same family as The Mandelbrot Set. The Logistic Equation & Map come up a lot of places, such as biology where it can model the growth of animal populations. It also has many other uses. The Logistic Map, is the discrete version of the Logistic Equation (it is the recurrence relation.) If you are interested in this equation, how it appears in real life, and how it relates to the Mandelbrot, please see this great video by Veritasium:
This equation will change how you see the world https://www.youtube.com/watch?v=ovJcsL7vyrk
Equation: z = c*z*(1-z). [The initial value of z is 0.5].
Thank-you to my supporters on Patreon.
/********************************************************************************
Patreon: https://www.patreon.com/mathstown (Support, Downloads & Usage Rights)
Website: https://www.maths.town
Twitter: https://twitter.com/MathsTown
Grab a T-Shirt: https://amzn.to/3eIfqmX
********************************************************************************/
Music from Epidemic Sound: https://www.epidemicsound.com/referral/ekoiev/ The Logistic Map - Fractal Zoom](https://i.ytimg.com/vi/h9sn7GHSRW8/mqdefault.jpg)







