The word "fractal" comes from contracting "fractional" - because it refers to a geometric object with fractional dimension. The triangular Swiss cheese, and the van Koch fractal, e.g., each have dimension between 1 and 2, because each has infinite length, but 0 area, all within a finite 2-ball (circular disk). BTW, your justification for infinite length of the van Koch fractal is non sequitur. Just because it gets longer at each of infinitely many steps, doesn't guarantee that its length is infinite. But the fact that at each step its length gets multiplied by 4/3 > 1, does, because, as n→∞, so also (4/3)ⁿ→∞.
How could someone down vote this? what were they looking for or let down with Fun with Fractals? Good job, took a complicated mathmatical concept and explained it while still being fun and SHORT. The expediency of the explanation is almost as interesting as the video.
@@minnarewers3573 hi it's rly ahmazing how you came across a comment you made 2 years back and even replied to it. So hey and hope you're having a great day
1:56 what happens to the triforce when ganon touches it. It shatters into billions of pieces. Great job now link has to fish up about a bazillion more shards of the triforce.
1:51 the Triforce can teach you about fractals kids, so use this as a reason for getting a legend of Zelda game. Actually, please don’t, because this obviously won’t work.
I had always thought that natural selection produced this, until I saw the Nova video about fractal geometry. So, who "created" Loren Carpenter? Just as people did not see what Benoit Mandelbrot saw, the creators of this video are not seeing WHO created them and everything else in the universe using, among other things, this concept of geometry.
check out the paisley patterns made in cloth ,its in the brain, hot wired long before computer imagine-it would take a life time to work out on paper this is old maths before technology-blows me,its all thrue nature.
What is a "ception"? I think you are thinking of the movie "Inception". Inception means the beginning of something. In that movie it refers to the beginning of an idea or notion. The title has nothing to do with the recursion that makes the plot interesting, and which other movies, like for example "ExistenZ", have done before. A pattern that consists of copies of itself is a type of fractal. Not all fractals are self-similar. What makes a fractal a fractal is that it has a non-integer dimension. The Koch curve for example is 1⅓-dimensional, more than one dimension, less than two. And, as stated, it is infinitely long. All fractals are infinite in some way. The plot of Inception is not a fractal. It only goes 5 or 6 layers deep (depending on how you interpret it), there is no infinity.
![แฟนแนวใด๋ - ยูริ โตเกียวมิวสิค [ SyncVersion ]](http://i.ytimg.com/vi/Fm8oDwos2uc/mqdefault.jpg)
I love the eternal beauty of fractals..
The word "fractal" comes from contracting "fractional" - because it refers to a geometric object with fractional dimension.
The triangular Swiss cheese, and the van Koch fractal, e.g., each have dimension between 1 and 2, because each has infinite length, but 0 area, all within a finite 2-ball (circular disk).
BTW, your justification for infinite length of the van Koch fractal is non sequitur. Just because it gets longer at each of infinitely many steps, doesn't guarantee that its length is infinite.
But the fact that at each step its length gets multiplied by 4/3 > 1, does, because, as n→∞, so also (4/3)ⁿ→∞.
Yep... FRACT-ional dimension-AL-ity.
@@markzambelli That works, too.
Fred
Nerds!
This video is cool tho
everything has rhythm. amazing evolution of life!
1:07 that’s not broccoli, that’s romanesco, a cauliflower variant that grows in a fractal shape.
How could someone down vote this? what were they looking for or let down with Fun with Fractals?
Good job, took a complicated mathmatical concept and explained it while still being fun and SHORT. The expediency of the explanation is almost as interesting as the video.
Maybe epilepsy... or something.
it's stupid
Broccoli? What kind of broccoli are you eating????
Ikr
Broccoli taste fine too me.
That is romanesco broccoli.
+Mandy Roy correct. the thing is that in most of the countries we have the "little tree" type.
Psilocybin
Holy triforce
THE SIERPINSKI TRIFORCE!
ey im back (heh, sierpinski triforce(i dont reallt know why i wrote that))
@@minnarewers3573 hi it's rly ahmazing how you came across a comment you made 2 years back and even replied to it. So hey and hope you're having a great day
@@minnarewers3573 has flags 🏳 😳 💀 👀
1:56 what happens to the triforce when ganon touches it. It shatters into billions of pieces. Great job now link has to fish up about a bazillion more shards of the triforce.
Very well done. Nice job:) Keep up the good work...
“Everything is a fractal” - tofu chan
2:00 TRIFORCE!!
Its nail is the sierpinski triangle. i have used fractal design to make one with the colors of the triforce.
ey im back
Very informative. Nice!
One of the most beautiful Proofs for God! Fractals are amazing!
Thank you very much. This is my new knowledge.
I love fractals. Nature is intelligent, Nature is art.
Was promised fun, got broccoli.
At least it had fractals!
awesome teaching style!!! :D soo good hehe!
Do you have to be from MIT to make this
Well done and interesting
2:19 a triforce of triforces! Zelda FTW!
the triangle is triforce LEGEND OF ZELDA FRACTAL ADVENTURES CONFIRMED LOL
PlushTeamCentral SINNOH ALSO CONFIRMED!
1:56 or the triforce?
minnerghoul tbh
This is fun!!!
1:51 the Triforce can teach you about fractals kids, so use this as a reason for getting a legend of Zelda game.
Actually, please don’t, because this obviously won’t work.
Gary W Lol you kid that wants likes lol
very good video!
Interesting video! They don't have to always be similar tho.
I had always thought that natural selection produced this, until I saw
the Nova video about fractal geometry. So, who "created" Loren
Carpenter? Just as people did not see what Benoit Mandelbrot saw, the
creators of this video are not seeing WHO created them and everything
else in the universe using, among other things, this concept of
geometry.
Great video👏👏👏
0:40 What is the flower?
When you say you love Broccoli, are you thinking of Dwight Schultz?
Triangle fractal is just a ultra triforce to me
check out the paisley patterns made in cloth ,its in the brain, hot wired long before computer imagine-it would take a life time to work out on paper this is old maths before technology-blows me,its all thrue nature.
romanesco is even more tasty than standard broccoli
its a cauliflower
I find it tasty when is super fresh but if u let it sit for 1 h it's terrible
is that song pi?
I am Bililbly i think yes
cute and great info
this is soooo fricken cool :)
Unti you did amazing 😄😃😀
Thank youuuuuu!!
How do u make the last one mandelbrot
With complex numbers. Here is a mathematician explaining it:
th-cam.com/video/NGMRB4O922I/w-d-xo.html
by repeating this infinite number of times
f(z) = z^2 + c where c is a complex number
Isnt this kind of like a ception because it has a something in something in something forever
What is a "ception"? I think you are thinking of the movie "Inception". Inception means the beginning of something. In that movie it refers to the beginning of an idea or notion. The title has nothing to do with the recursion that makes the plot interesting, and which other movies, like for example "ExistenZ", have done before.
A pattern that consists of copies of itself is a type of fractal. Not all fractals are self-similar.
What makes a fractal a fractal is that it has a non-integer dimension. The Koch curve for example is 1⅓-dimensional, more than one dimension, less than two. And, as stated, it is infinitely long. All fractals are infinite in some way.
The plot of Inception is not a fractal. It only goes 5 or 6 layers deep (depending on how you interpret it), there is no infinity.
Thaaaanks. I had fun with fraaaactals.
1:50 Meet the Black Triforce.
The key term is self similarity.
beautiful
i love this so much!!
1:40 it was created before first fractals that were called fractals
The dictor has nice voice and accent.
Im inlove with the speaker :)
7 years have passed since you have made this weird comment
the 'lenth' of the curve
Fractals are terrifying
I love me some fractals
1:37 tak. Nie ruski, nie amerykański *POLSKI*.
Ahhh, a nice iMovie video.
Thank You
its not broccoli... its a cauliflower. Cauliflower heads resemble those in broccoli, which differs in having flower buds as the edible portion.
What type of broccoli are you eating? That ain't broccoli.
That's a romanesco. Google it.
its a Cauliflower not Broccoli.
@@Black6659 its called romanesco broccoli.
@@Sciguy95 en.wikipedia.org/wiki/Cauliflower
that's not broccoli
en.wikipedia.org/wiki/Romanesco_broccoli
carter spider yes it is I like it
I love broccoli
you can have fun with fractals with the help of our friend lucy
1:07 that’s a cauliflower....
Fractals aren't defined by self-similarity but by a nonzero Hausdorff Dimension .
"Lenth"?
Had fun with fractals!:D
thats a zoomed in piece o bud , not bro colii
It's Romanesco broccoli
2021
I don't understand the last one
Magnets wow
Ariel Hickson it's kinda complicated. U need knowledge of complex numbers.
Wouldn't the whole human body, circulatory, nerve and skeleton be a fractal?
How else would DNA store the information?
1:28 Amongus.
i love legowelt
romanesco is even better than standard broccoly
(Flicking through recommended vids in 2018) is it just me or are fractals kinda scary?
Wow! I'm a fractal of God!
exactly!!
as above so below
no
フラクタル萌え
Subhanallah
fractal this
ThAt music at the end was disturbing
337 Triangles 🔺️ ...Anyone?
1:28 amogus
Ahh, an iMovie videos.
WHAT COLOR IS THE DRESS?!?! Its obviously Green!
Dang, maybe the Earth isn't flat.
Mandelbroccoli
this made me itchy
now you're making me itchy
Crap, now I'm itchy
*scratch scratch*
Millad Bahrami Really dude?
???😳
Acid
just like humans with limbs and fingers right?
Ma te ma ti co!!!!!
Isn't all fractals?
How it feels to chew 5 gum
I just watched this on 5 hits of really good lsd
tayeul
ZIPFile
fuck the music r.i.p ears
not broccoli. Cauliflower....
Actually it is a broccoli its called romanesco broccoli.
Hi
That's not broccoli that's poccoli
Its broccoli
brokkoli und romanesso ist nicht dasselbe!
Is that science?
The broccoli creeps me out
ITS NOT BROCCOLI, ITS ROMANESCO
no just no
But like.... whats the point?