Uploaded May 2020 | Updated September 2026, 2 weeks ago
This video is collaboration with "Floating Door". He has provided the music and the texture, and I have worked it into a fractal animation. The result is a little bit more dark and moody than I was aiming for, but actually I think it kind of suits the music. Best viewed at high resolution so you can see the textured effect. You can find more from Floating Door on his channel: youtube.com/watch?v=iwwP6m9tpN0 Please consider giving him a little support by subscribing.
What are your thoughts on these textured type of zooms?
Music: Dissenter - Floating Door
You'll also find his music in this zoom: youtube.com/watch?v=t6xptVqP96E
Thank-you to my supporters on Patreon.
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Patreon: patreon.com/mathstown (Support, Downloads & Usage Rights)
Website: https://www.maths.town
Twitter: twitter.com/MathsTown
********************************************************************************/
This video is collaboration with "Floating Door". He has provided the music and the texture, and I have worked it into a fractal animation. The result is a little bit more dark and moody than I was aiming for, but actually I think it kind of suits the music. Best viewed at high resolution so you can see the textured effect. You can find more from Floating Door on his channel: youtube.com/watch?v=iwwP6m9tpN0 Please consider giving him a little support by subscribing.
What are your thoughts on these textured type of zooms?
Music: Dissenter - Floating Door
You'll also find his music in this zoom: youtube.com/watch?v=t6xptVqP96E
Thank-you to my supporters on Patreon.
/********************************************************************************
Patreon: patreon.com/mathstown (Support, Downloads & Usage Rights)
Website: https://www.maths.town
Twitter: twitter.com/MathsTown
********************************************************************************/










![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
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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)