What's so special about the Mandelbrot Set? - Numberphile
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Date: 2022-04-09
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Comments and reviews: 9
Stewart
Someone follow-up my thought n pin me or find a way to like explore this cause it may be ground breaking.
So I came to this video for a question on how could make a 3 dimensional fractal but I noticed something on this example!
So clearly u see the swirl straighten on 0 on the y axis and for some reason there are no stable pattern nearing 1 get this though. That straight pattern reaches all the way to 1 and the swirls lead to the 3dimensional aspects it takes those pockets that appear are echoed from the 3D version I wanted to explore or more leads into it but more fluffy than a prism. But in generalised terms a 3 sided prism
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Someone follow-up my thought n pin me or find a way to like explore this cause it may be ground breaking.
So I came to this video for a question on how could make a 3 dimensional fractal but I noticed something on this example!
So clearly u see the swirl straighten on 0 on the y axis and for some reason there are no stable pattern nearing 1 get this though. That straight pattern reaches all the way to 1 and the swirls lead to the 3dimensional aspects it takes those pockets that appear are echoed from the 3D version I wanted to explore or more leads into it but more fluffy than a prism. But in generalised terms a 3 sided prism
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Juan
Wow, the vivid colors really enhance the symetrical shapes. So beautiful! As you're zooming, I had a vision of some kind of video game, which you did end up mentioning is like a map or geography, almost like Mario/Sonic etc.
I guess my question or frustration is WHAT DOES IT ALL MEAN? OR IS THERE ANYWAY TO Interpret or combine this to our individual lives and realities to live better, affect the world outside of the computer/or just a visialization? How can we use this or pretty diagrams etc to gain more knowledge or expand our knowledge?
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Wow, the vivid colors really enhance the symetrical shapes. So beautiful! As you're zooming, I had a vision of some kind of video game, which you did end up mentioning is like a map or geography, almost like Mario/Sonic etc.
I guess my question or frustration is WHAT DOES IT ALL MEAN? OR IS THERE ANYWAY TO Interpret or combine this to our individual lives and realities to live better, affect the world outside of the computer/or just a visialization? How can we use this or pretty diagrams etc to gain more knowledge or expand our knowledge?
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Mart
it is the interaction of 2 probability fields. 1st possibility, 2 constructive probability fields interacting 2nd, 2 destructive fields interacting, 3rd a probability field, interacting with an anti-probability field constructively, 4th, same, but acting destructively. note 2, and 4 =zero, ie destructive interference has no real roots
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it is the interaction of 2 probability fields. 1st possibility, 2 constructive probability fields interacting 2nd, 2 destructive fields interacting, 3rd a probability field, interacting with an anti-probability field constructively, 4th, same, but acting destructively. note 2, and 4 =zero, ie destructive interference has no real roots
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lethalsub
Asking for clarification:
It was mentioned that a way of testing if a point was not in the Mandelbrot Set was to see if the value of c after any number of iterations was outside of modulus 2, I'm presuming that means -if -c->2. 0 returns true, c is not in the set-.
c=-2 has a periodic orbit: -2, (-2)-2-2=2, 2-2-2=2.
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Asking for clarification:
It was mentioned that a way of testing if a point was not in the Mandelbrot Set was to see if the value of c after any number of iterations was outside of modulus 2, I'm presuming that means -if -c->2. 0 returns true, c is not in the set-.
c=-2 has a periodic orbit: -2, (-2)-2-2=2, 2-2-2=2.
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Topaz
the only thing Id recommend against is going -Unstable stable stable unstable- so quickly because sometimes its very hard to parse what youre on about if for example its difficult to parse what relates to where. Just slow down some or specify -Positive stable negative unstable- or -Above one / below one-
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the only thing Id recommend against is going -Unstable stable stable unstable- so quickly because sometimes its very hard to parse what youre on about if for example its difficult to parse what relates to where. Just slow down some or specify -Positive stable negative unstable- or -Above one / below one-
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Nora
So i know this video was posted two years ago but maybe someone can answer my question. How do you tell a computer whether it's a stable or unstable iteration? I mean you can't just say -nice shape- = True, -chaotic shape- = False.
What if it's convergent but in a seemingly chaotic way?
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So i know this video was posted two years ago but maybe someone can answer my question. How do you tell a computer whether it's a stable or unstable iteration? I mean you can't just say -nice shape- = True, -chaotic shape- = False.
What if it's convergent but in a seemingly chaotic way?
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Nahobino
Why do i feel the Mandelbrot set is a bit related to the universe's structure? I know i must be so wrong but it's just a thought. This video is one of the best i've seen about the Mandelbrot set. It's really understandable, interesting and informative. Thank you!
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Why do i feel the Mandelbrot set is a bit related to the universe's structure? I know i must be so wrong but it's just a thought. This video is one of the best i've seen about the Mandelbrot set. It's really understandable, interesting and informative. Thank you!
reply
Silver
Looks like it's following the golden mean shell shape. Hey, I'm no science student but I love art and I see a tornado in my head when I look at him moving it around. Doesn't appear to be exploding but rather moving to the next offset, level or circle.
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Looks like it's following the golden mean shell shape. Hey, I'm no science student but I love art and I see a tornado in my head when I look at him moving it around. Doesn't appear to be exploding but rather moving to the next offset, level or circle.
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Kilian
When i programmed a Julia/Mandelbrot Set visualization/exploration program as an assignment the moment where i got the calculations right and the resolution high, and the beautiful shape popped up was so satisfying. Truly amazing piece of mathematics.
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When i programmed a Julia/Mandelbrot Set visualization/exploration program as an assignment the moment where i got the calculations right and the resolution high, and the beautiful shape popped up was so satisfying. Truly amazing piece of mathematics.
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