This video is really high quality. If you keep going on like this and make such videos I guarantee you, you will get more people watching. Awesome explanation!
While I am not smart enough to be entirely keen on how the math was done, that was a brilliant production! I had always wondered exactly how these numbers were mapped on an x and y axis in order to make fractals to infinity. Thanks for an easy and coherent explanation.😁
I've known the Mandelbrot Set for so many years and even glanced at the book "The Fractal Geometry of Nature" years ago but never knew exactly what it was until I saw this video. So thank you. I feel less idiotic now.
I’m a young teen, and the part about how you put the letters and numbers for the equation confused me but I understood the bulk of this video. I literally discovered the Mandelbrot set today and it is so cool! I’m going to use it for my school project!
The really interesting thing I saw was that the boundaries are slightly exceeded in the real and imaginary directions, presumably by the effect of the complex numbers
I love how "The complete guide" ends with "there's even more to unpack". What of the relation to Julia sets? The distribution of bulbs and their relation to Farey fractions ? The periodicity of converging values within the set? How the rainbow colouring is performed? Algorithmic optimisations for faster calculation of whether or not a number is in the set? This is far from "complete", it's a minimal introduction. The numberphile video covers it better, and the 3b1b video on holomorphic dynamics goes far more into the subject.
Perhaps if you actually read the title, you would have realized it’s not “the complete guide to fractals” it’s “the complete IDIOTS guide to fractals.” It obviously isn’t supposed to be a complete coverage of the subject at a graduate level. The only thing here far from complete is your maturity, knock your ego down a peg. This was a lovely presentation, and your attitude is what gives mathematicians a bad name as egotistical pricks.
thanks for the video. It was one of the more clear and concise one’s on the subject. My only issue is that I felt the music was mixed a little loud so sometimes it was hard to hear your voice. I like the music, it was just a little bit covering your narration.
Agreed. There is also a website out there somewhere that has a lot of great videos on audio mixing. I forgot the name but I think it is called "You Tube Dot Com" or something like that :-)
Great video, thank you. However I wish you hadn't included that musical soundtrack, or at least had made it lower in volume. It interferes with comprehending the topic.
Gee, with the opening music, I initially thought I was watching a Summoning Salt video... 7:27 - Actually, no! If you keep iterating c = i, it will snap into a cycle between -i and -1 + i. A number c that has this property of snapping into a cycle that does not include zero is called a "Misiurewicz point", and it is right on the boundary of the Mandelbrot set.
Solve equations that involve setting the closed form expression for one number of iterations of the Mandelbrot set function equal to that for a different number of iterations.
Sure, "imaginary numbers". The way I see this math problem is: If you have 4 pencils and I have 7 apples, how many pancakes will fit on the roof? Answer: Purple. because aliens don't wear hats. On the other hand, I really enjoyed the music and the paradigmatic way you hold your pencil.
So the picture is just the representation of all the numbers present in the mendlebrot set? Why is the structure infinite then if there are number limits.
I'm still an idiot. Negative numbers make no sense to me because to me Zero is an infinite number, if you want to call it a number, ok so you draw a scale or straight line what is to say you have to put zero in the center, the scale or line is then infinite there for you can place zero at any point on the scale. But what do I know I never finished middle school so maybe that's why I'm an idiot.
watch people write left handed gives me anxiety these days.... lol j/k.,,, but now I understand why right handed writing is such a big thing in english at least
The graph ( x, y) axis { to my new experience } is the method plotting these groups , correct ..? [ and this is a question not a troll ] If this graph of two dimension has exposed this ........ ( these are imaginary , actual #'s { according to def..... I think ) What occurs once a 3rd dimensional axis is introduced ..? It may already be so in a true understanding of this phenom ... I'm not understanding enough to know ... But if this 3rd axis isn't represented Then what happens when it is ....???? Not to undercut above quandry . Fourth dimensional space is not only likely ... it is reality ( all around all the human observable time ) and a mathematician was born .... If you egg heads want interest students in math ..... why in the hell wouldn't you be introducing them to The MATHEMATICAL BUILDING BLOCKS OF CREATION .... seriously .... are you guys just that egotistical .....? Answer : ...... < yes >
stop using that music. You know which one. speak up or lower music volume use a better microphone hold pen normally, this is the worst example of improper grip I have ever seen don't wear your pyjamas hurtful I know, but truth. Everything else is good. The thumbnail is great
In your video. you asked the question. What does the Mandelbrot set mean? well, I got the answer the beauty is built into the numbers /numbers are concepts of quality they stand from the mind of God Fractals occur both in math and in the physical world .mathematics oh reflection of God‘s thoughts do universe is uphold by the mind of God Christ upholds all things. concepts require a mind numbers are the reflection of the way God thinks. The physical world obeys the mathematical laws the way, God thinks.🤔
Entire video is epic but the way he holds the pen is mildly infuriating
Lol
😅
Now at 35 I finally discorvered by myself that I was born as a lefthanded… and I am ✨amazed✨ by it
That's just what happens when you're left-handed, and I can relate to it
😂 concur
This video is really high quality. If you keep going on like this and make such videos I guarantee you, you will get more people watching. Awesome explanation!
Yes, as long as he tones down the music so that it doesn't nearly drown out his voice.
While I am not smart enough to be entirely keen on how the math was done, that was a brilliant production!
I had always wondered exactly how these numbers were mapped on an x and y axis in order to make fractals to infinity.
Thanks for an easy and coherent explanation.😁
I've known the Mandelbrot Set for so many years and even glanced at the book "The Fractal Geometry of Nature" years ago but never knew exactly what it was until I saw this video. So thank you. I feel less idiotic now.
Real
I’m a young teen, and the part about how you put the letters and numbers for the equation confused me but I understood the bulk of this video. I literally discovered the Mandelbrot set today and it is so cool! I’m going to use it for my school project!
The really interesting thing I saw was that the boundaries are slightly exceeded in the real and imaginary directions, presumably by the effect of the complex numbers
Finally I find the video that describes perfectly about the Mandekbrot Set
Nice your explanation of the imaginary numbers is the best i've found THNX!
holy fucking shit this was simply amazing and astonishing and marvelous and kinda scary
me when the
@@learn_the_cube2when the coco nuts
@@swapbriarASMR no way
I love how "The complete guide" ends with "there's even more to unpack". What of the relation to Julia sets? The distribution of bulbs and their relation to Farey fractions ? The periodicity of converging values within the set? How the rainbow colouring is performed? Algorithmic optimisations for faster calculation of whether or not a number is in the set? This is far from "complete", it's a minimal introduction. The numberphile video covers it better, and the 3b1b video on holomorphic dynamics goes far more into the subject.
Perhaps if you actually read the title, you would have realized it’s not “the complete guide to fractals” it’s “the complete IDIOTS guide to fractals.”
It obviously isn’t supposed to be a complete coverage of the subject at a graduate level.
The only thing here far from complete is your maturity, knock your ego down a peg.
This was a lovely presentation, and your attitude is what gives mathematicians a bad name as egotistical pricks.
Thanks for this; I saw some code for it and really want to give it a shot at implementation
thanks for the video. It was one of the more clear and concise one’s on the subject. My only issue is that I felt the music was mixed a little loud so sometimes it was hard to hear your voice. I like the music, it was just a little bit covering your narration.
Agreed. There is also a website out there somewhere that has a lot of great videos on audio mixing. I forgot the name but I think it is called "You Tube Dot Com" or something like that :-)
i needed this
Did I see the Harvard classics collection on your bookshelf?
Great video, thank you. However I wish you hadn't included that musical soundtrack, or at least had made it lower in volume. It interferes with comprehending the topic.
what was the music name at the start? I need it for a video
Look up "summoning salt music" on youtube
HOME - We're Finally Landing
Gee, with the opening music, I initially thought I was watching a Summoning Salt video...
7:27 - Actually, no! If you keep iterating c = i, it will snap into a cycle between -i and -1 + i. A number c that has this property of snapping into a cycle that does not include zero is called a "Misiurewicz point", and it is right on the boundary of the Mandelbrot set.
It's kingdom hearts chamber of awakening and heartless emblem. Nobody emblem and unversed emblem.
Well said, bot
謎を解明できるといいですね
難しくない
how would you find those boundaries of the set other than just brute forcing it?
Solve equations that involve setting the closed form expression for one number of iterations of the Mandelbrot set function equal to that for a different number of iterations.
Sure, "imaginary numbers". The way I see this math problem is: If you have 4 pencils and I have 7 apples, how many pancakes will fit on the roof? Answer: Purple. because aliens don't wear hats. On the other hand, I really enjoyed the music and the paradigmatic way you hold your pencil.
Superb...
So the picture is just the representation of all the numbers present in the mendlebrot set? Why is the structure infinite then if there are number limits.
Interesting af
WTF did I just watch that too in HDR!! Awesome explanation! Looking for more!
I'm still an idiot. Negative numbers make no sense to me because to me Zero is an infinite number, if you want to call it a number, ok so you draw a scale or straight line what is to say you have to put zero in the center, the scale or line is then infinite there for you can place zero at any point on the scale. But what do I know I never finished middle school so maybe that's why I'm an idiot.
Great video man
this is underated
Very good and informative video !
I imagine you like it, but that music is horrible, distracting and louder than the voice of the speaker!!
cry about it
Thanks ..now I know why innie and outie!
What up mandel bro
6 + 9i… okay ryan
Please learn how to draw the root symbol asap! 😊
Awesome video!
watch people write left handed gives me anxiety these days.... lol j/k.,,, but now I understand why right handed writing is such a big thing in english at least
thanks for that video!
You hold your pen the same way I do!
W vid
Mandel is not a bro
He pronounces it with a silent t
🧂
The graph ( x, y) axis { to my new experience } is the method plotting these groups , correct ..?
[ and this is a question not a troll ]
If this graph of two dimension has exposed this ........ ( these are imaginary , actual #'s { according to def..... I think )
What occurs once a 3rd dimensional axis is introduced ..?
It may already be so in a true understanding of this phenom ... I'm not understanding enough to know ...
But if this 3rd axis isn't represented
Then what happens when it is ....????
Not to undercut above quandry . Fourth dimensional space is not only likely ... it is reality ( all around all the human observable time )
and a mathematician was born ....
If you egg heads want interest students in math ..... why in the hell wouldn't you be introducing them to
The MATHEMATICAL BUILDING BLOCKS OF CREATION .... seriously .... are you guys just that egotistical .....?
Answer : ...... < yes >
This is not the idiots guide
stop using that music. You know which one.
speak up or lower music volume
use a better microphone
hold pen normally, this is the worst example of improper grip I have ever seen
don't wear your pyjamas
hurtful I know, but truth.
Everything else is good. The thumbnail is great
Cry about it
@@learn_the_cube2 i did don't you worry
why are you writing like that
I cannot tolerate the irritating "music".
SQRT(x) has in C two Solutions. The n-th root has n Solutions.
In your video. you asked the question. What does the Mandelbrot set mean? well, I got the answer the beauty is built into the numbers /numbers are concepts of quality they stand from the mind of God Fractals occur both in math and in the physical world .mathematics oh reflection of God‘s thoughts do universe is uphold by the mind of God Christ upholds all things. concepts require a mind numbers are the reflection of the way God thinks. The physical world obeys the mathematical laws the way, God thinks.🤔
erm
Ĥ
Unlistenable. Your music is way too loud.
for real, if I listen it, I cannot unlisten it
who the FUCK writes like that