Uploaded July 2026 | Updated September 2026, 2 weeks ago
I'm going old school for this one! Just a classic zoom with classic colouring.
Actually, for me, the this is something quite new, I've re-written my whole fractal colouring chain to support new data exporters. This video is exported from my newer software and encoded in 10-bit colour (downloadable for Patreons). The rewrite of my colouring software should allow for some new creative colouring soon in the future. Enjoy!
Thank-you to my supporters on Patreon.
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 if you are a member of my Patreon page. patreon.com/mathstown
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Patreon: patreon.com/mathstown (Support, Downloads & Usage Rights)
Website: https://www.maths.town
Twitter: twitter.com/MathsTown
Discord: discord.gg/YphYVt787v (Drop by and say hello)
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Music from Epidemic Sound: epidemicsound.com/referral/ekoiev
(Easily the best source of music for creators!)
Music by Sum Wave.
#Mandelbrot #fractal #mathstown #fractals
I'm going old school for this one! Just a classic zoom with classic colouring.
Actually, for me, the this is something quite new, I've re-written my whole fractal colouring chain to support new data exporters. This video is exported from my newer software and encoded in 10-bit colour (downloadable for Patreons). The rewrite of my colouring software should allow for some new creative colouring soon in the future. Enjoy!
Thank-you to my supporters on Patreon.
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 if you are a member of my Patreon page. patreon.com/mathstown
/********************************************************************************
Patreon: patreon.com/mathstown (Support, Downloads & Usage Rights)
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!)
Music by Sum Wave.
#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.
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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
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Music from Epidemic Sound: https://www.epidemicsound.com/referral/ekoiev/ The Logistic Map - Fractal Zoom](https://i.ytimg.com/vi/h9sn7GHSRW8/mqdefault.jpg)





