Uploaded March 2023 | Updated September 2026, 2 weeks ago
I was aiming for a "city at night" kind of vibe for this one, but it took on a vibe of its own. Because of the long render times, it isn't possible to preview the result before it is rendered, so the results are often a little surprising. The start is a little slow, so skip the first min if you are in a hurry. Anyway, I kind of like it, tell me what you think?
Nights is an orbit trap Mandelbrot Fractal zoom, which uses transparency as part of the orbit trap colouring.
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
Wheezing - Dylan Sitts / Ooyy
Brap! - Ballpoint
#Mandelbrot #fractal #mathstown #fractals #ultrafractal
I was aiming for a "city at night" kind of vibe for this one, but it took on a vibe of its own. Because of the long render times, it isn't possible to preview the result before it is rendered, so the results are often a little surprising. The start is a little slow, so skip the first min if you are in a hurry. Anyway, I kind of like it, tell me what you think?
Nights is an orbit trap Mandelbrot Fractal zoom, which uses transparency as part of the orbit trap colouring.
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
Wheezing - Dylan Sitts / Ooyy
Brap! - Ballpoint
#Mandelbrot #fractal #mathstown #fractals #ultrafractal








![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)

