Uploaded April 2020 | Updated September 2026, 2 weeks ago
A little blue orbit trap zoom for you this week. I haven't done an orbit trap in a while so I thought it was about time. I hope everyone is staying safe and well.
Also, I've published a new video "How to Build a Julia Set": youtube.com/watch?v=5T0cC6KRezo
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
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Music from audionautix.com
A little blue orbit trap zoom for you this week. I haven't done an orbit trap in a while so I thought it was about time. I hope everyone is staying safe and well.
Also, I've published a new video "How to Build a Julia Set": youtube.com/watch?v=5T0cC6KRezo
Thank-you to my supporters on Patreon.
/********************************************************************************
Patreon: patreon.com/mathstown (Support, Downloads & Usage Rights)
Website: https://www.maths.town
Twitter: twitter.com/MathsTown
********************************************************************************/
Music from audionautix.com






![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)



