Fun fact: Fractals are being used to create realistic computer-generated landscapes and environments in video games and movies. Their self-similar patterns allow for efficient rendering and an infinite level of detail. They have really cool applications.
Fun fact: Fractals are sometimes used to create realistic computer-generated landscapes and environments in video games and movies. Their self-similar patterns allow for efficient rendering and an infinite level of detail. They have really cool applications. Also in future, fractals may be used to improve cooling systems. As they provide infinite surface area in minimum volume, they can theoretically maximise the efficiency of transfer of heat.
In real life, the phrase "repeated branching" is better, it's more accurate to the non-infinite nature of things(and the impossibility of a literal mathematical fractal).
@@zara__xdcould you expand on the meaning? I googled it and I can see what the definitions are trying to say but I feel like there’s more to it that I’m not understanding.
@@gabrielgiorgio-dormon8495 it's really interesting your immediate assumptions and the way you think about things indicates how you see the world as a whole. Humans are not really used to conceptualizing long processes and we're not good at it either. Evolution is easy to accept but very hard to come to terms with how it actually happens. "who is nature?" is a silly question. by 'nature', people are speaking incredibly broadly about all the laws of physics (things that we observe happening at many different levels of organization), evolution (the process of seemingly random mutations being adaptively favourable and thus carried through generations of a species). Humans also have a tendency to attribute intentions to things that do not have any intentions at all, and are 'acting' in accordance to the laws of physics (every high school science teacher talking about how electrons and elements work).
You know what else we see a lot in nature, especially on large scales? Spheres. Because a sphere is in every way the exact opposite of a fractal; the maximum amount of volume packed into the smallest surface area. All planets and stars are roughly spherical because no one point on the surface of a sphere is further from the center than any other point, so it's the most stable shape for something with a lot of gravity. Likewise, bubbles and water droplets are round because they have a surface tension that wants to hold the finite amount of material as close to itself as possible.
Like spheres are holding everything in it (surface tension) while fractals are letting go, to gain bigger surface area. Which also reminds me of ying and yang.
A good analogy for Fractional Dimensionality is to crumple up a sheet of paper into a ball... the 3D ball is comprised of a 2D sheet with air gaps... it's 'D' lies somewhere between 2 and 3. Self similarity is awesome... take a rough looking stone and hold it up infront of a far-off mountain and close one eye and their similarity is remarkable.
study supersymmetry and apply that understanding to your own cognition, thank me in a decade or two when you start mastering what it truly means.... hint: buddhist monks have figured it out for centuries through buddhist cosmology.
@@metasamsara Most physicists don't even agree with SUSY, and there is no supporting evidence. In addition, multiple experiments failed to show that SUSY is true, also the Buddhists didn't know about fermion-boson spin correspondence theories, no one even knew anything about particle spin untill 1922, and was only understood later. Not to mention almost all of the things the theory claims to be linked didn't exist(bose-einstein and fermi-dirac statistics etc).
@@αβγδε nothing exists without its opposite, push, pull, left, right, up, down, front, back, relax, stress, etc, etc. valid for emotions and for nerve control and for thinking about physics in vectors☯ valid for conflict resolution, for power balance, for physical impacts, for gravity, for magnetism, for oh so many things. in fact, for everything that exists. To manifest you must define, to define you must exclude the rest. to exclude the rest you have to acknowledge it. light doesn't exist without darkness. Everything is like that, and supersymmetry works as a philosophy just as well as to explain quantum entanglement. and quantum mechanics are just what we call science that is ahead of the outdated theory of general relativity. everything is quantum. at every scale, in every context, of every substance or idea, all is quantum. quantum is the inability to simplify in order to explain. quantum is real time physics obeying supersymmetry and regulated by entropy.
given that it neatly explains nearly all of these natural fractals, it seems odd to not talk about the fact that they all just follow the path of least resistance? as a kid i remember that the term “path of least resistance” allowed me to actually understand fractals in our world unlike explanations that just said that these systems somehow prefer maximum efficiency
That's really interesting. That could be "path of least resistance = preference of maximum efficiency". Maybe just a linguistic trick, but, we process things through our own filters. Thanks!
Constructal Theory is a branch of engineering that does this. The idea is to mathematically play off two competing requirements in a system to find the optimum solution. The cost to make more wood in a tree is played off against the increase in leaf surface area for example. Where it gets really interesting is that it can also be used to predict the transition of a flow to turbulence, based on energy minimisation, without any need to model the fluid in detail at all. Any system with 2 ways of achieving some requirement, one being quick but expensive and the other being slow but cheap can be modeled this way. A classic example is heat sinking, where for example expensive but more conductive copper and cheaper but less conductive aluminium are used together. The optimum solution creates branched geometries without any guidance but the properties of the materials.
that's basically what he said but he used the word efficiency, because it has to be efficient too in order to last, not just the easiest path. as someone else said, mostly a linguistic detail.
@genesises it's a linguistic detail that matters because it implies different concepts. Saying something "makes it's self the most efficient" makes it seem like it is self governing, conscious, or something is instructing it. In reality, it simply grows towards the path that is easiest to travel. Much like a river travelling down a valley.
I noticed them just naturally when I was younger. I then tried mushrooms and it just enhanced it and I’ve been obsessed with these curious observations as well as others. Just opens up many more questions…
Dude. Sometimes when I take mushrooms I see fractals behind my eyelids. I too see it everywhere around me, but when I close my eyes, damn... that's too much lol
@@Purwapada chaos theory has real world applications though. it describes systems that are very sensitive to initial conditions like the weather, double pendulums, and many others. In fact, it was developed by meteorologist/mathematician Edward Lorenz.
I've always wondered why asphalt roads crack in the branching shape. I didn't start this video expecting an answer to that question but I'm so pleased I got one!
I wrote my senior paper on fractals in nature. I love them!! It feels like you can find fractal dimensions everywhere, like country borders, lightning, and veins in leaves. They really the coolest thing possible.
I remember looking at a tree once and seeing the dendritic pattern and thinking if the whole thing were visible it’d probably look a lot like a neuron, then I read a bit about power laws but since I don’t know physics this video really summed it up for me pretty eloquently. Now I’ve just gotta know why different plants take on different leaf patterns!
My WAGuess is that when you look at something like how it competes against other plants/animals, and other details about how it takes in nutrients, from what heights its competeing to be optimal, and things like how much energy it takes to move the leaves, the answer will start to show up a bit. So, in those particular cases, its patterns are more optimal than other plants that its competing with
Your comment that "brain is trees" explains why I find it so soothing to lie under a tree and look up. I cld do this for hours, and I do envisage the roots spreading underneath.
This has always fascinated me. Thank you for expanding and clarifying it! It took me a couple seconds to get the Mandelbrot middle initial joke, but yeah, I laughed.
Same here, accept its because i have a rare blood condition where my vessels burn internally. People say it looks like i got struck by lightning when it flares up 🤣😂😂😂😂 All jokes btw lmao
Love that you concluded with the word “systems”. My friend is in data analytics and he calls these “non-linear dynamic systems” and they show up absolutely everywhere there are healthy systems
Thanks for your video! I met fractals in an event of the UBA in Buenos Aires. 5 People explaines their work investigating practical uses of fractals. Came out amazed. I have never forgotten that sensation.
1:18 Stared at the same tree for 4 hours pondering every imaginable question possible after a handful of psily mushrooms....so yeah I would say I have lol
The snowflake graphic, reminds me of something that I was told is called the "Shoreline Paradox". In it, a theoretical-boss asks a hypothetical-mapmaker of (roughly the same age) to measure the shore of a certain island, but tells him to be as accurate as possible. So the guy goes out and tries to do so. First, he tries measuring everything in miles, because it's a big enough island he can do that, and he can figure that out reasonably well in a day or so just by wrapping figurative miles around the shore on his map... "easy, ten miles" But when he brings the overlay back to the boss, the boss points out several gaps where part of the water is still visible within the lines he shows on the map, and tells the map maker to measure again. The map guy goes back again and tries meter-long lines (there's a part about KM too, but I'm not doing the whole lecture I heard it from) and it takes him a whole lot longer. He takes that map-overlay back to his boss. Boss simply looks closer and finds more water gaps, and sends him back out again. By the time the map's wrap-lines guy gets to milimeters, it's years later, and finally tells his boss it's an impossible task because there's always some kind of gap, no matter how tight he tries to wrap his line... Then the Boss says, "fine then, tell me how long the actual line you've got right now is." Map guy steps away and does his calculations, and is shocked to realize he's some how hit thousands of miles long, if the line were straightened back out. And that's the shoreline paradox. PS: might not be the actual name, but the focus isn't meant to be the name. And I updated it a little to modern computer capabilities, when it was first told to me, it was an old mathematician and philosopher, trying to get a point across to a younger apprentice. But I think it makes more sense to this computer-based generation to have maps, overlays, and such.
@@Armand79th - Oh no doubt... So are any numbers beyond Scientific notation. we can't comprehend 1. 27E93, but it is still a number that exists. ;) Rhetorical thought experiments are the bread and butter of scientific discussions. lol It's all pretty daft really. :)
They should mention how fractals are a large part of the psychedelic experience and are produced by nature. The trips often come with a sense of not being confined by our three dimensions and have been displayed in art around the world for ages
Today I learned there are dimensions in between whole number dimensions. I also learned that what we call "trees" can sometimes be more related to other plants that we don't call trees. Finally, I learned that you can increase the surface area of a shape by making fractals of that shape. Thanks for the lesson!
I’m surprised you didn’t spend more time discussing the mathematics behind fractals to include the golden number and spirals. Also, I think it’s false physics doesn’t play a part in these designs because everything is influenced by gravity, and the laws of physics and nature that help dictate the design of our existence based on our needs to survive. Things like evolution, time, and the need for efficiency as you said, play major roles as well. P.S. Love your work 🙏
there are no laws of physics. just observed regularities, which can only be understood as regular by comparing them to something else regular. Which is a fallacy and collapses in the face of induction
@@Purwapada something defines our universe. Physics exist. and our understanding of it is relative. That is all. The physics of the universe is very real. Dont get carried away with 'nothing has any meaning' level philosophy ...
@@andrew5744 physics does not exist, it is the logical application of a conceptual framework. Based in the supposition that phenomena have a true existence. Why? Because, an existent is not born of an existent (because it already exists), an existent is not born of a non existent, a non existent does not come from an existent, and a non existent cannot come from an already non existent. As such there can be no arising of a true existent.
@@Purwapada again ur getting carried away with philosophical mumbo jumbo. mathematics exist as if I have one of this and I have one of this, I now have 2. Mathematics exists in our universe. If I walk off a building on earth, I fall because of gravity. That is physics existing. Our gravity is a constant rate of acceleration pulling downwards which is why we walk on the ground. Consistent Forces act upon us. And We apply force to move. That is physics. Not in any way saying our physics are 100% correct. But physics and mathematics exists one way or another regardless of what philosophy u attempt to bring to the table. We presently live in this reality that has an existing system of math and physics.
@@Purwapada one very philosophical person could of course say physics doesn’t exist, time doesn’t exist, math doesn’t exist, and plague everyone with unhelpful questions like well how do we know anything exists? But the fact of the matter is you exist. So you must acknowledge what you exist with currently. If you want to say u don’t exist. Be my guest. Don’t go around talking it’s fact tho. Kinda like genders. U wanna identify as something. Go for it. Think what u want, but don’t push that bs depressing mindset upon others who can acknowledge we live in this reality, whether or not it’s a dream and we’re in a coma or we’re a simulation, we are here… so how could u sanely try to implement that as the norm upon others. U say “physics doesn’t exist” like it’s fact. No, that’s your philosophical rabbit hole. Like the piers Morgan clip where the dude is telling Morgan that he is a cisgendered male when no, the world doesn’t run off of your individual phrases you’re attempting to make up, Morgan identifies as a male period which was his point. We all have our own interpretations of reality. And I, as well as many others can appreciate this vast system of math and science that dictates our universe. To say physics doesn’t exist is to do deny said “framework.” Yes physics and time and math are man made concepts to understand the framework. If we didn’t call time anything. Time still ticks and goes on. But we do have our way of understanding said framework by calling it time. So time does exist. To an alien civilization they could call this framework we call time zoobadoobah. And zoobadoobah would exist because it’s their way of understanding and describing the existing framework. The “framework” exists and thus our way of interpretation which is physics, time, math exists, whatever argument u wanna get into. This is like a caveman argument. It’s like oh, well friction with this wood and oxygen creates this warm bright source that emerges and that potential exists regardless of if they had words for it or not when cavemen discovered what we know as fire. But obviously to advance as humans, they did create words for it in their native languages. “Man make fire” so they call it fire. Thus Fire exists. And man also exists. You’re literally arguing about concepts not existing when concepts are just describing what exists. Cuz even if fire wasn’t called fire. What we know as fire still exists.
I think that is very dependent on the species. Some are evolved to create a shallow communal "root mat", but some depend on "tap roots" to dig deep for water.
Thats unfortunate. Sounds like if they couldve done it with a bit more prep, that it wouldve made for a very interesting lecture. Its always great when peoples interests match what theyre teaching
What fascinates me is that the big tree in my parents' backyard survived a lightning strike but only half of it did. The other half is clearly dead and it is a split right down the middle. It isn't obvious from looking at it that lightning did it, but I was watching the storm from my bedroom when the lightning strike hit. It shook my windows it was so loud. How does a tree survive that amount of energy? And related, why do people get those fractal-shapes when receiving strong electric shocks?
Fractals are the natural method of energetic sophistication in the Universe, and they all serve the same purpose and rule: To expose itself through contrast, as without contrast, there is no progression.
I mean, yes, energy gradients are the source of all things happening in the universe, but what the hell is "fractals are the natural method of energetic sophistication in the universe" supposed to mean?
@@NeovanGoth Fractals could be considered one of the most basic languages in the Universe, like binary code, it can infinity articulate itself on the micro and macro level in order to communicate information.
My name is Tree (not Theresa) and nothing is haunting about your good truth of this beginners video. Lots of ppl have all ways and always, been looking for reasons to patterns. IN.2.Wishin, figuring things out. Your video is Fresh and gives ideas and inspiration to many. Thanks, man. Just me tree.😊
This is actually my favorite thing ever like us being so interconnected to the universe, I wish I had found this video earlier but it just got recommended
Wanna know something freaky? Your hands are fractals. Each of your fingers is just a tiny arm where the outermost knuckle is a wrist, the middle an elbow, and the innermost a shoulder
The world will be a better place when the top trending YT videos everywhere will be premium science videos like this one. ( Also when scientists are mainstream celebrities ; not actors, not influencers )
I truly cannot believe that your video is titled like this. I taught a class of drawing to my students. We were drawing plants and I mentioned how similar blood vessels look to branches. Then this week I looked at the trees here in winter and thought abt how amazing it is. Seeing as trees are like lungs. Now I see this video. Its not the algorythm for once. Radical coincidence. Tx.
An episode on tree roots would be good! (They don't actually look like a mirror of the tree crown. They are pretty much in the top 3ish feet of soil and spread out like a plate. Even in "taproot" species)
I'm a bioinformatician using fractals specifically to study viral evolution. Fractals are a really interesting way to study genetic information because by representing the information as a fractal - somehow you include information about the DNA sequence's physical structure! It's really exciting to work on it since little is understood, but I'll be doing my best to push my field forward! So that statement about "no gene causing fractal growth" might still turn out to be false!
5:54 It was probably easier to evolve that pattern (grow, split repeat) that to have gigantic leaves and branches (if a herbivore eats it's base you have to regrow the hole thing).
My thoughts exactly while watching this. Like come on people, get it together! Or rather, spread it apart lol Learn from nature already geez. It's been perfecting things a whole lot longer than humans have been around.
The information about almost 100 thousand km of blood vessels is WRONG! 6:50 update needed. New studies now showed that we actually have something around 9000 and 1900km. Big difference.
I saw this really cool fractal while making a blended coffee running down the side of the cup. It was running like perfect branches/ snowflake style going down on the cup. Looked so COOL
What I find fascinating is that no tree is exactly the same, but still look familiar, because they grow the same type of fractals. No matter how different every single tree is, we still see what kind of tree it is. Simple but amazing.
A more than wonderful episode, but it must be pointed out that living and non-living systems do not have any free will, but rather natural fractal patterns are subject to physical laws and principles purely without any intention, and this is what drives us to understand the nature of...
Emergence can explain free-will and intention, we can't explain emergence using only the scientific fact of uncontrollably(regardless of the deterministically vs. randomality of quantum mechanics)
@@uasserkamal2002 Basically, you say something you know will piss people to get people to reply. It kinda forces interactions. I do it often. In this case you're saying the quiet part.
Anyone interested in fractal branching patterns and how they relate to flow systems might benefit from checking out the book Design In Nature by Adrian Bejan.
With landscapes, when reality breaks away from self similarity is also super interesting. Kenton Musgrave talked about that in Texturing and Modelling (I believe it was) Then of course, mixing the 2 to get really great stuff is so much fun.
As the video progressed, it felt calming and so soothing. As if life is good now and everything seems beautiful. Saved this video to watch again. Thank you for teaching us cool science stuff Joe❤
GREAT READ - Design in Nature: How the Constructal Law Governs Evolution in Biology, Physics, Technology, and Social Organizations - "For a finite-size system to persist in time (to live), it must evolve in such a way that it provides easier access to the imposed (global) currents that flow through it."
Or evolution ...the connection to plants animals and humans Therefore humans are not a seperate creation from A creator Proof that humans are a species connected to its origin ...
This video offers an intriguing angle on the speculation about alien life evolution. Since mathematics is universal, it stands to reason that alien life forms might also exhibit patterns similar to those found in fractals. This suggests that despite their differences, alien life forms could be variations on the same fundamental theme of fractal geometry.
You mean that life that evolves on other planets has to abide to the same constraints of physics. The same reason why spheres are found everywhere in nature.
Thank you. As a visual artist I'm fascinated by patterns and fractals are very unique. They move and yet the appear stable. A paradox. The spaces in between are liminal spaces. Or negative space and they change according to the fractal. Which leads me to think of the form of the universe which looks a little like a sponge or the neural paths of a brain. Perhaps this happens so frequently due to the fundamental principals of geometry which seems to govern everything. From the macro to the micro. It's also very poetic. It's reassuring to see nature in us and us in nature.
Fractals are cool.
Fractals are cool.
Fractals are cool.
Fr.
Fun fact: Fractals are being used to create realistic computer-generated landscapes and environments in video games and movies. Their self-similar patterns allow for efficient rendering and an infinite level of detail. They have really cool applications.
@@besmartFractals are cool
Fun fact: Fractals are sometimes used to create realistic computer-generated landscapes and environments in video games and movies. Their self-similar patterns allow for efficient rendering and an infinite level of detail. They have really cool applications.
Also in future, fractals may be used to improve cooling systems. As they provide infinite surface area in minimum volume, they can theoretically maximise the efficiency of transfer of heat.
Zelda trees
We know
Check out L-systems!
en.wikipedia.org/wiki/L-system
In real life, the phrase "repeated branching" is better, it's more accurate to the non-infinite nature of things(and the impossibility of a literal mathematical fractal).
Did somebody say Minecraft?
Unbelievable. I noticed this exact thing as a child, without a clue about fractals. My veins, lightning, and trees.
That’s called Fitrah
@@zara__xdcould you expand on the meaning? I googled it and I can see what the definitions are trying to say but I feel like there’s more to it that I’m not understanding.
X ZZ 8
highways and freeways
Kids are aware of the creation. Then we forget cause society.
Our exterior anatomy is fractal, too. Our arms and legs branch out from our trunk, which then branches out into fingers.
And then the little tentacles on the fingertips!
Wait, you have those, right?
@@siquod and the antennas on those tentacles. wait am i in the wrong dimention again dammit
🤯🤯
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I think that's a "stretch" ... I'll see myself out.
The fact nature always comes up with the most ingenious solutions to problems is truly astounding. It feels me with a sense of wonder and awe.
hence more of them applied into modern human life through biomimicry, now! 🥺💚
Same here. Some of the simplest, most common-place things in nature can be literally awe-inspiring when you think about them a certain way.
cause nature is not just accident
It’s kinda funny how people denounce God but apply some of his attributes to nature being like ohhhh nature did this 🤡 mf who is nature 🤡
@@gabrielgiorgio-dormon8495 it's really interesting your immediate assumptions and the way you think about things indicates how you see the world as a whole. Humans are not really used to conceptualizing long processes and we're not good at it either. Evolution is easy to accept but very hard to come to terms with how it actually happens. "who is nature?" is a silly question. by 'nature', people are speaking incredibly broadly about all the laws of physics (things that we observe happening at many different levels of organization), evolution (the process of seemingly random mutations being adaptively favourable and thus carried through generations of a species). Humans also have a tendency to attribute intentions to things that do not have any intentions at all, and are 'acting' in accordance to the laws of physics (every high school science teacher talking about how electrons and elements work).
You know what else we see a lot in nature, especially on large scales? Spheres. Because a sphere is in every way the exact opposite of a fractal; the maximum amount of volume packed into the smallest surface area. All planets and stars are roughly spherical because no one point on the surface of a sphere is further from the center than any other point, so it's the most stable shape for something with a lot of gravity. Likewise, bubbles and water droplets are round because they have a surface tension that wants to hold the finite amount of material as close to itself as possible.
Well said!
Like spheres are holding everything in it (surface tension) while fractals are letting go, to gain bigger surface area. Which also reminds me of ying and yang.
That's poetic!
And to think that both opposites in that sense, fractals and spheres, have the same fundamental origin: Energy minimization.
@@carlosdoerner Fractals to collect, spheres to hold, both with minimal energy cost.
@@carlosdoerner🤯
A good analogy for Fractional Dimensionality is to crumple up a sheet of paper into a ball... the 3D ball is comprised of a 2D sheet with air gaps... it's 'D' lies somewhere between 2 and 3.
Self similarity is awesome... take a rough looking stone and hold it up infront of a far-off mountain and close one eye and their similarity is remarkable.
Good analogy!
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But is the sheet really 2-D?
my brain is vomiting, thank you 🙏🏾
@@JC-justchillin Technically, because of the 3d nature of the universe, absolutely not... but it's perfect for showing the concept.
My brain has formed fractal memories to efficiently learn about fractals.
study supersymmetry and apply that understanding to your own cognition, thank me in a decade or two when you start mastering what it truly means.... hint: buddhist monks have figured it out for centuries through buddhist cosmology.
@@metasamsara How do you apply supersymmetry to your own cognition? As far as I know, it is related to quantum mechanics.
@@metasamsara Most physicists don't even agree with SUSY, and there is no supporting evidence. In addition, multiple experiments failed to show that SUSY is true, also the Buddhists didn't know about fermion-boson spin correspondence theories, no one even knew anything about particle spin untill 1922, and was only understood later. Not to mention almost all of the things the theory claims to be linked didn't exist(bose-einstein and fermi-dirac statistics etc).
@@αβγδε nothing exists without its opposite, push, pull, left, right, up, down, front, back, relax, stress, etc, etc. valid for emotions and for nerve control and for thinking about physics in vectors☯ valid for conflict resolution, for power balance, for physical impacts, for gravity, for magnetism, for oh so many things. in fact, for everything that exists. To manifest you must define, to define you must exclude the rest. to exclude the rest you have to acknowledge it. light doesn't exist without darkness. Everything is like that, and supersymmetry works as a philosophy just as well as to explain quantum entanglement. and quantum mechanics are just what we call science that is ahead of the outdated theory of general relativity. everything is quantum. at every scale, in every context, of every substance or idea, all is quantum. quantum is the inability to simplify in order to explain. quantum is real time physics obeying supersymmetry and regulated by entropy.
@@metasamsaraYou cool if I copy this into a journal?
given that it neatly explains nearly all of these natural fractals, it seems odd to not talk about the fact that they all just follow the path of least resistance? as a kid i remember that the term “path of least resistance” allowed me to actually understand fractals in our world unlike explanations that just said that these systems somehow prefer maximum efficiency
That's really interesting. That could be
"path of least resistance = preference of maximum efficiency".
Maybe just a linguistic trick, but, we process things through our own filters. Thanks!
And least competition
Constructal Theory is a branch of engineering that does this. The idea is to mathematically play off two competing requirements in a system to find the optimum solution. The cost to make more wood in a tree is played off against the increase in leaf surface area for example. Where it gets really interesting is that it can also be used to predict the transition of a flow to turbulence, based on energy minimisation, without any need to model the fluid in detail at all.
Any system with 2 ways of achieving some requirement, one being quick but expensive and the other being slow but cheap can be modeled this way. A classic example is heat sinking, where for example expensive but more conductive copper and cheaper but less conductive aluminium are used together. The optimum solution creates branched geometries without any guidance but the properties of the materials.
that's basically what he said but he used the word efficiency, because it has to be efficient too in order to last, not just the easiest path. as someone else said, mostly a linguistic detail.
@genesises it's a linguistic detail that matters because it implies different concepts. Saying something "makes it's self the most efficient" makes it seem like it is self governing, conscious, or something is instructing it. In reality, it simply grows towards the path that is easiest to travel. Much like a river travelling down a valley.
this video scratches an itch that my brain has had for 30 years. thank you. :)
I first noticed fractals when I took psilocybin mushrooms when I was younger, they were popping out everywhere. I've been obsessed ever since.
I noticed them just naturally when I was younger. I then tried mushrooms and it just enhanced it and I’ve been obsessed with these curious observations as well as others. Just opens up many more questions…
Dude. Sometimes when I take mushrooms I see fractals behind my eyelids. I too see it everywhere around me, but when I close my eyes, damn... that's too much lol
Chaos Theory (the mathematics behind fractals) was my favourite module at university, and I've loved fractals ever since. That was over 30 years ago!
chaos is a concept with no relation to reality because 'order' and 'chaos' are just concepts in a relative universe
@@Purwapada chaos theory has real world applications though. it describes systems that are very sensitive to initial conditions like the weather, double pendulums, and many others. In fact, it was developed by meteorologist/mathematician Edward Lorenz.
@@joseville im writing my thesis about this rn :D
Can we relate this phenomenon of fractals in nature to entropy?
Unbelievable. I noticed this exact thing as a child, without a clue about fractals. My veins, lightning, and trees.
I've always wondered why asphalt roads crack in the branching shape. I didn't start this video expecting an answer to that question but I'm so pleased I got one!
And hitting a window just hard enough for it to spiderweb i now realize its energy that the glass took in 😊😊😊
I wrote my senior paper on fractals in nature. I love them!! It feels like you can find fractal dimensions everywhere, like country borders, lightning, and veins in leaves. They really the coolest thing possible.
man the Benoit B.(Benoit B.(…) Mandelbrot)Mandelbrot joke is phenomenal
I legitimately did a golf clap at that one.
agreed, immediately texted four of my nerdiest friends and begged them to text the same joke to their four nerdiest friends. and so on
That slapped hard 😂
@@alecsyogacorner 😂😂😂😂
@@alecsyogacorner Friends?
Even the fungal network on the bark follows the same patterns 🍄
fungus among us?
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Interesting how the brain starts seeing these things whenever you are under the influence of psilocybin mushrooms.
@@Karthik-pn2yjlove that .
Finally a video we can use when people compare our river basin maps to blood vessels or a cabbage :) Great work, and thanks for featuring our work!
I remember looking at a tree once and seeing the dendritic pattern and thinking if the whole thing were visible it’d probably look a lot like a neuron, then I read a bit about power laws but since I don’t know physics this video really summed it up for me pretty eloquently. Now I’ve just gotta know why different plants take on different leaf patterns!
I have trees in my brain
@@cryptidofthemarshes1680
Brain is trees
😂
My WAGuess is that when you look at something like how it competes against other plants/animals, and other details about how it takes in nutrients, from what heights its competeing to be optimal, and things like how much energy it takes to move the leaves, the answer will start to show up a bit.
So, in those particular cases, its patterns are more optimal than other plants that its competing with
Your comment that "brain is trees" explains why I find it so soothing to lie under a tree and look up. I cld do this for hours, and I do envisage the roots spreading underneath.
My power flurries through the air into the ground
My souls is spiraling in frozen fractals all around...
That was my first thought!
Let it go...
I thought you said “power furries” at first
@@nikkireigns 🤣
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This has always fascinated me. Thank you for expanding and clarifying it! It took me a couple seconds to get the Mandelbrot middle initial joke, but yeah, I laughed.
That's why they call me "ol' Lightning Veins"
Same here, accept its because i have a rare blood condition where my vessels burn internally. People say it looks like i got struck by lightning when it flares up 🤣😂😂😂😂
All jokes btw lmao
People call me a schmuck. 😢
Some people call me Maurice.
@@TitularHeroine Cause you speak of the pompatus of love?
what
I’ve been waiting far too long to feel validated in my obsession with fractal patterns. Thank you
Honestly I think this channel is by far my favorite science channel on UA-cam
Love that you concluded with the word “systems”. My friend is in data analytics and he calls these “non-linear dynamic systems” and they show up absolutely everywhere there are healthy systems
Thanks for your video! I met fractals in an event of the UBA in Buenos Aires. 5 People explaines their work investigating practical uses of fractals. Came out amazed. I have never forgotten that sensation.
I wish this man was my science teacher back in hs. I’ve learned so much in a few minutes and was hooked on watching. Great job PBS 🎉
Those "rules" are the force of consciousness, a field of directions, like an instruction manual! It's so beautiful.
These words have no meaning.
1:18 Stared at the same tree for 4 hours pondering every imaginable question possible after a handful of psily mushrooms....so yeah I would say I have lol
space filling fractals are really useful in nature
Once I got really high and said "trees are reverse lightning" and I've thought about it every day since
I will never get tired of this subject.
Joe, I love your videos. You make the info so entertaining. Thanks you for that.
The snowflake graphic, reminds me of something that I was told is called the "Shoreline Paradox". In it, a theoretical-boss asks a hypothetical-mapmaker of (roughly the same age) to measure the shore of a certain island, but tells him to be as accurate as possible. So the guy goes out and tries to do so. First, he tries measuring everything in miles, because it's a big enough island he can do that, and he can figure that out reasonably well in a day or so just by wrapping figurative miles around the shore on his map... "easy, ten miles"
But when he brings the overlay back to the boss, the boss points out several gaps where part of the water is still visible within the lines he shows on the map, and tells the map maker to measure again.
The map guy goes back again and tries meter-long lines (there's a part about KM too, but I'm not doing the whole lecture I heard it from) and it takes him a whole lot longer. He takes that map-overlay back to his boss. Boss simply looks closer and finds more water gaps, and sends him back out again.
By the time the map's wrap-lines guy gets to milimeters, it's years later, and finally tells his boss it's an impossible task because there's always some kind of gap, no matter how tight he tries to wrap his line... Then the Boss says, "fine then, tell me how long the actual line you've got right now is."
Map guy steps away and does his calculations, and is shocked to realize he's some how hit thousands of miles long, if the line were straightened back out. And that's the shoreline paradox.
PS: might not be the actual name, but the focus isn't meant to be the name. And I updated it a little to modern computer capabilities, when it was first told to me, it was an old mathematician and philosopher, trying to get a point across to a younger apprentice. But I think it makes more sense to this computer-based generation to have maps, overlays, and such.
That's why norway technically has one of the longest coastlines in the world, despite it's land area being small
@@n7x Small? If you flip Norway from top to bottom, it reaches far down in Italy. But, it's mostly coastline with rough mountains attached. 😂
Seems like rhetorical nonsense when there should be rules established for maps and precision, so ... bit daft.
@@Armand79th - Oh no doubt... So are any numbers beyond Scientific notation. we can't comprehend 1. 27E93, but it is still a number that exists. ;) Rhetorical thought experiments are the bread and butter of scientific discussions. lol It's all pretty daft really. :)
I have been looking for this answer my whole life.
They should mention how fractals are a large part of the psychedelic experience and are produced by nature. The trips often come with a sense of not being confined by our three dimensions and have been displayed in art around the world for ages
Today I learned there are dimensions in between whole number dimensions. I also learned that what we call "trees" can sometimes be more related to other plants that we don't call trees. Finally, I learned that you can increase the surface area of a shape by making fractals of that shape.
Thanks for the lesson!
Are there bald kiwifruits?
Your videos always leave me feeling inspired. Just wanted to say that.
Okay so that joke is actually really good. 😂😂 Took me a minute....
I've been left with more questions -- and that's so cool. Thank you, Joe!
6:38 that was breathtaking
Awe❤ When I was little I called broccoli "Baby Trees"
I’m surprised you didn’t spend more time discussing the mathematics behind fractals to include the golden number and spirals. Also, I think it’s false physics doesn’t play a part in these designs because everything is influenced by gravity, and the laws of physics and nature that help dictate the design of our existence based on our needs to survive. Things like evolution, time, and the need for efficiency as you said, play major roles as well. P.S. Love your work 🙏
there are no laws of physics. just observed regularities, which can only be understood as regular by comparing them to something else regular. Which is a fallacy and collapses in the face of induction
@@Purwapada something defines our universe. Physics exist. and our understanding of it is relative. That is all. The physics of the universe is very real. Dont get carried away with 'nothing has any meaning' level philosophy ...
@@andrew5744 physics does not exist, it is the logical application of a conceptual framework. Based in the supposition that phenomena have a true existence.
Why? Because, an existent is not born of an existent (because it already exists), an existent is not born of a non existent, a non existent does not come from an existent, and a non existent cannot come from an already non existent.
As such there can be no arising of a true existent.
@@Purwapada again ur getting carried away with philosophical mumbo jumbo. mathematics exist as if I have one of this and I have one of this, I now have 2. Mathematics exists in our universe. If I walk off a building on earth, I fall because of gravity. That is physics existing. Our gravity is a constant rate of acceleration pulling downwards which is why we walk on the ground. Consistent Forces act upon us. And We apply force to move. That is physics. Not in any way saying our physics are 100% correct. But physics and mathematics exists one way or another regardless of what philosophy u attempt to bring to the table. We presently live in this reality that has an existing system of math and physics.
@@Purwapada one very philosophical person could of course say physics doesn’t exist, time doesn’t exist, math doesn’t exist, and plague everyone with unhelpful questions like well how do we know anything exists? But the fact of the matter is you exist. So you must acknowledge what you exist with currently. If you want to say u don’t exist. Be my guest. Don’t go around talking it’s fact tho. Kinda like genders. U wanna identify as something. Go for it. Think what u want, but don’t push that bs depressing mindset upon others who can acknowledge we live in this reality, whether or not it’s a dream and we’re in a coma or we’re a simulation, we are here… so how could u sanely try to implement that as the norm upon others. U say “physics doesn’t exist” like it’s fact. No, that’s your philosophical rabbit hole. Like the piers Morgan clip where the dude is telling Morgan that he is a cisgendered male when no, the world doesn’t run off of your individual phrases you’re attempting to make up, Morgan identifies as a male period which was his point. We all have our own interpretations of reality. And I, as well as many others can appreciate this vast system of math and science that dictates our universe. To say physics doesn’t exist is to do deny said “framework.” Yes physics and time and math are man made concepts to understand the framework. If we didn’t call time anything. Time still ticks and goes on. But we do have our way of understanding said framework by calling it time. So time does exist. To an alien civilization they could call this framework we call time zoobadoobah. And zoobadoobah would exist because it’s their way of understanding and describing the existing framework. The “framework” exists and thus our way of interpretation which is physics, time, math exists, whatever argument u wanna get into.
This is like a caveman argument. It’s like oh, well friction with this wood and oxygen creates this warm bright source that emerges and that potential exists regardless of if they had words for it or not when cavemen discovered what we know as fire. But obviously to advance as humans, they did create words for it in their native languages. “Man make fire” so they call it fire. Thus Fire exists. And man also exists. You’re literally arguing about concepts not existing when concepts are just describing what exists. Cuz even if fire wasn’t called fire. What we know as fire still exists.
I saw somehwere that trees roots don't actually grow like what most people have been lead to believe, they grow a lot more horizontal than vertical
I think that is very dependent on the species. Some are evolved to create a shallow communal "root mat", but some depend on "tap roots" to dig deep for water.
I remember my math professor went into a side rant about this on the whiteboard and left the whole class confused.
Thats unfortunate. Sounds like if they couldve done it with a bit more prep, that it wouldve made for a very interesting lecture.
Its always great when peoples interests match what theyre teaching
What fascinates me is that the big tree in my parents' backyard survived a lightning strike but only half of it did. The other half is clearly dead and it is a split right down the middle. It isn't obvious from looking at it that lightning did it, but I was watching the storm from my bedroom when the lightning strike hit. It shook my windows it was so loud. How does a tree survive that amount of energy?
And related, why do people get those fractal-shapes when receiving strong electric shocks?
Fractals are the natural method of energetic sophistication in the Universe, and they all serve the same purpose and rule:
To expose itself through contrast, as without contrast, there is no progression.
I mean, yes, energy gradients are the source of all things happening in the universe, but what the hell is "fractals are the natural method of energetic sophistication in the universe" supposed to mean?
@@NeovanGoth Fractals could be considered one of the most basic languages in the Universe, like binary code, it can infinity articulate itself on the micro and macro level in order to communicate information.
@@NeovanGoth Word salad, with a vomit dressing.
My name is Tree (not Theresa) and nothing is haunting about your good truth of this beginners video.
Lots of ppl have all ways and always, been looking for reasons to patterns.
IN.2.Wishin, figuring things out.
Your video is Fresh and gives ideas and inspiration to many. Thanks, man. Just me tree.😊
have you also noticed how mountains though they look random on the surface are actually geometric?
This is actually my favorite thing ever like us being so interconnected to the universe, I wish I had found this video earlier but it just got recommended
Next Video idea:
Why some fruits,nuts and vegetables have similarities with our body organs, and eating them help the same organ they look like.👀
Isn't that awesome & true!
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Does eating beans help the Kidneys?
8
Wanna know something freaky? Your hands are fractals. Each of your fingers is just a tiny arm where the outermost knuckle is a wrist, the middle an elbow, and the innermost a shoulder
I can’t unsee it now…
Oh man
Mind blown.
it made me think that the human body itself looks like a weird stylized hand too, like a biped like seastar
That scene in Ghost und the Shell where tiny mechanical fingers come out of a hacker's fingers. :D
Aww dang, I’d been chatting to Matt Parker about doing a collab on this exact topic. Awesome job!
The world will be a better place when the top trending YT videos everywhere will be premium science videos like this one. ( Also when scientists are mainstream celebrities ; not actors, not influencers )
God is so intentional and organised, so beautiful
thanks for answering all the questions I have when I have nothing else to think about :) I love this channel
What an amazing Creator we have!
Indeed!!✝️📖🙏🏻❤️
Yes 🌷
Let's not jump to conclusions
🐑
Amen 🙏🏾
I truly cannot believe that your video is titled like this. I taught a class of drawing to my students. We were drawing plants and I mentioned how similar blood vessels look to branches. Then this week I looked at the trees here in winter and thought abt how amazing it is. Seeing as trees are like lungs. Now I see this video. Its not the algorythm for once. Radical coincidence. Tx.
I need a “I ❤️ fractals” shirt
Love this! Thanks so much! Once you see fractals they find you in everything, they cannot be unseen in my life. Great video 😊🪷🌾🕊🏝🌲🌳
6:50 funny I just watched a kurzgesagt video debunking the 100k km of blood vessels 'fact' in his video.
An episode on tree roots would be good! (They don't actually look like a mirror of the tree crown. They are pretty much in the top 3ish feet of soil and spread out like a plate. Even in "taproot" species)
as a neuroscientist I often think about the resemblance of brain cells to trees
What a good speaker you are! My first time at your channel - you're a natural in front of the camera.
Love the aspen tree reference.
That's pretty neat!
I'm a bioinformatician using fractals specifically to study viral evolution. Fractals are a really interesting way to study genetic information because by representing the information as a fractal - somehow you include information about the DNA sequence's physical structure! It's really exciting to work on it since little is understood, but I'll be doing my best to push my field forward! So that statement about "no gene causing fractal growth" might still turn out to be false!
5:54
It was probably easier to evolve that pattern (grow, split repeat) that to have gigantic leaves and branches (if a herbivore eats it's base you have to regrow the hole thing).
6:52 , acually kurgezagt made a video about how its completely wrong about the fact that we have 100,000 kilometers of blood vessels
Lol, exactly what I remembered when I watched that clip.
Fractals are so efficient and yet humans still prefer grids and squares :(
My thoughts exactly while watching this. Like come on people, get it together! Or rather, spread it apart lol
Learn from nature already geez. It's been perfecting things a whole lot longer than humans have been around.
The information about almost 100 thousand km of blood vessels is WRONG! 6:50 update needed. New studies now showed that we actually have something around 9000 and 1900km. Big difference.
I saw this really cool fractal while making a blended coffee running down the side of the cup. It was running like perfect branches/ snowflake style going down on the cup. Looked so COOL
What I find fascinating is that no tree is exactly the same, but still look familiar, because they grow the same type of fractals. No matter how different every single tree is, we still see what kind of tree it is. Simple but amazing.
Everything is connected 🌳
Dude! So beautiful and mesmerizing 😍
Thanks, Dr. Joe 🙏
The Awe of Gods creation 🙌🏽❤️
NEW BE SMART VIDEO DROPPED THIS BOUTTA BE FIRE 🔥🔥🔥🔥🔥🔥
A more than wonderful episode, but it must be pointed out that living and non-living systems do not have any free will, but rather natural fractal patterns are subject to physical laws and principles purely without any intention, and this is what drives us to understand the nature of...
This is true. You baiting?
@@borttorbbq2556 what is the meaning of "baiting"?
Emergence can explain free-will and intention, we can't explain emergence using only the scientific fact of uncontrollably(regardless of the deterministically vs. randomality of quantum mechanics)
@@uasserkamal2002 Basically, you say something you know will piss people to get people to reply. It kinda forces interactions. I do it often. In this case you're saying the quiet part.
@@spoperty4940 hmmm explain that to the experiments involving this. Your brain makes the decision even if "you" are thinking it over.
this is the coolest video I have ever watched in my entire life
Anyone interested in fractal branching patterns and how they relate to flow systems might benefit from checking out the book Design In Nature by Adrian Bejan.
Thank you! Now I sleep while seeing fractals haunting my dreams because of my ceilings.
I miss when the channel was named "It's Okay To Be Smart". I dislike the simplification of names and app icons that's been trending.
This and the clikcbaity titles on this one and related channels lately. I get its for the algorithm, but still.
And the hello smart people...😢
I love fractsls, drawing trees and seing them everywhere is beautiful
3:03 We all know what you did there 👀
Except Terence Howard 😂
Awesome vid! Fractals could be found in man-made architectures - road network, telecom network, social network etc.
As a game developer, paying attention to this is how im able to create more realistic looking landscapes.
With landscapes, when reality breaks away from self similarity is also super interesting. Kenton Musgrave talked about that in Texturing and Modelling (I believe it was)
Then of course, mixing the 2 to get really great stuff is so much fun.
Wait until you discover Perlin noise. ;)
We are indeed made in His image
Conversations are also like branches/ fractals, they branch off into unexpected directions
life is a doctor who episode, that's why
This is underrated
And it’s only 3 minutes old
*insert 12th ranting*
As the video progressed, it felt calming and so soothing. As if life is good now and everything seems beautiful. Saved this video to watch again. Thank you for teaching us cool science stuff Joe❤
Have you ever heard: as above, so below? It just says that certain things mirror themselves.
Clear explanations what are fractals. THANK YOU !
PBS / Nova - Fractals: (Hunting the Hidden Dimension) ua-cam.com/video/qABFYiYqXSU/v-deo.html
Great video. It's the propagation of energy and matter over time and it all started with a spark.
0:10 literally any arborist will tell you thats nowhere close to what a tree's root system looks like
Transportation infrastructure also has fractal branching, from the smallest dirt roads across a farm to the largest highways across a continent.
God is good ❤
GREAT READ - Design in Nature: How the Constructal Law Governs Evolution in Biology, Physics, Technology, and Social Organizations - "For a finite-size system to persist in time (to live), it must evolve in such a way that it provides easier access to the imposed (global) currents that flow through it."
You call them fractals...and i called it the Signature and evidences of the divine being
Or evolution ...the connection to plants animals and humans
Therefore humans are not a seperate creation from A creator
Proof that humans are a species connected to its origin ...
This video offers an intriguing angle on the speculation about alien life evolution. Since mathematics is universal, it stands to reason that alien life forms might also exhibit patterns similar to those found in fractals. This suggests that despite their differences, alien life forms could be variations on the same fundamental theme of fractal geometry.
You mean that life that evolves on other planets has to abide to the same constraints of physics. The same reason why spheres are found everywhere in nature.
God is amazing.
On my first acid trip I asked myself exactly the same question. Until then I saw it everywhere and I could not answer it. Thanks for this video!
We have designer, a creator. God created everything as His masterpiece.
So that includes all the children inflicted with genetic defects and cancer is that also his "masterpiece"
Thank you. As a visual artist I'm fascinated by patterns and fractals are very unique. They move and yet the appear stable. A paradox. The spaces in between are liminal spaces. Or negative space and they change according to the fractal. Which leads me to think of the form of the universe which looks a little like a sponge or the neural paths of a brain. Perhaps this happens so frequently due to the fundamental principals of geometry which seems to govern everything. From the macro to the micro. It's also very poetic. It's reassuring to see nature in us and us in nature.