Fractals: a world in a grain of sand | Ben Weiss | TEDxVeniceBeach
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- เผยแพร่เมื่อ 21 พ.ค. 2024
- Our lungs manage to pack the surface area of a tennis court into our ribcage. Our circulatory system crams 60,000 miles of branching blood cells and capillaries into our bodies. Single objects repeating patterns over and over and over at various scales, parts similar to the whole. These are just a couple of the examples of fractals in action presented to us in dazzling detail by mathematician and creator of Frax HD, Ben Weiss - who brilliantly bridges the gap between math and art to bring this concept to life. And what more, Weiss explains how viewing fractal imagery has the ability to positively affect the brain and make revelations about human perception and consciousness. For more, visit fract.al Ben is a computer graphics researcher at Google, with a focus on image processing and machine intelligence. He is also the principal developer of the app Frax, a tool to bring the beauty of interactive fractal geometry to a worldwide audience. Ben is a former competitive freediver, with a 7-minute breath-hold, and has been a member of the US Freediving Team in multiple world championships. His career has included stints at Apple, Microsoft, and MetaCreations, where in the 90’s he was the co-developer of the Kai’s Power Tools suite of graphics apps. He currently lives happily on the Venice Canals. This talk was given at a TEDx event using the TED conference format but independently organized by a local community. Learn more at www.ted.com/tedx
his theory on psychedelics and fractals is interesting, when i take acid i not only "see" but i also feel fractals in my mind.
I took acid 35 years ago before I knew about fractals, and while hallucinating had a very vivid/real experience of riding down a fractal into my own mind. I've not doubt that because neurons are fractals, psychedelics simply allow you to intuitively understand, know and experience this.
The mind is absolutely a fractal. One thought does not become another thought: it becomes ten, a hundred, a thousand other thoughts, ad infinitum.
In thought the same thing. And people think alike
Wow. My three favourite things.. Fractals, psychedelics and neural networks/machine learning all in one TED video? Unreal!! This talk just got better and better every minute. I hope I can join you guys at google some day. Thank you mr. Weiss!!!
These are my favourite things too!
With that thought, think about the spike protein in the mRNA vaccine for covid
how is it possible that this video has only 1.4k views and 3 comments...? this blew my
mind
Agree with you. That's why I sometimes imagine this conspiracy that Big Brother or Pentagon want to hide the magnitude of fractal.
They might already solve the secret of fractal, and then keep it secret, LOL!
눈꽃Snowflake Now your on the money...it gets deeper then you think.
Wait a min. When you are done whit you
your firt one than you are hoket like crazy
It is now 41.9k. Nice educational video.
Watching fractals puts me into a meditative state quickly.
You're late to the party. It's not the mind that is fractal, it is consciousness itself as it continuously self references through time. And this pattern is in nature, physics and in our behaviour patterns because everything has the fingerprint of the divine that is the eternal loop. It is only limited in this realm and shows itself as a pattern we refer to mathematically as "fractal". Oh, and the ancients already knew this and it's a law they called "the law of correspondence".
my brain tickles while watching the fractals! AMAZING!
Yeap, so do mine!
Melonee Flower wow, it’s like my brain just lit up.
I learned alot from this Ted Talk, which is exactly what they are for. I understand so much more when scientists speak human. Showing us how much more wonderful our world is than even our imagination can be. Amazing how something so simple is also so complex. I LOVE FRCTILES!
A beautiful talk. I recently work with machine learning and the idea of connection between fractals and neural networks are interesting! Wish they could teach more of such stuff to students earlier.
I absolutely love it! Thank Ben for all that you have done and continue to do for all of us!
Micro cosm of the macro cosm, we are all reflections of the whole.
Wow! I wanted to explain fractals to my cousin and your TEDx talk popped. The best ever explanation and Wow! What an infinity images your app can create. Im blown away what you created Ben!
I appreciate this so much!! I'm so excited about the app! So many things I love in this one video!🙌 Math, fractals, psychedelics, higher learning, and mental health Awareness!!!
I have been theorizing that everything is fractals, including consciousness!!! I feel so validated and happy watching this TEDx Talk!! 😁
Astonishing, poetic & impactful on so many levels; thank you, I see it now
this video was an excellent explanation of fractals. Ive known that the universe is a hologram but i never really understood it enough to explain to someone else. this video solved that problem. wow and the images literally blew my mind. so beautiful. You have to admit, this world was created so beautifully. and i like the thought that our mind may also be a fractal. I think fractals helps to explain how we are reflections of God and that God is in us as well. Just like with fractals, the pattern gets more complex but you always find the original inside wow terrific
absolutely fantastic!
I don't know if it is just me, but I love the way the silence in a second or two in this video... It's like a pace for my mind to process. He talks slow too which helps me understand every word better. Its been a hard time understanding fractals since we just have online classes, but then, this video was suggested and it is amazing now that I understand it.
I’ve had the app for months and I love it!!
What a beautiful talk - Rom Englash Ted Talk brought me here. I work with the Frax App in my artwork- am so grateful for it & and it is so inspiring ... thank you so much
Awesome and vividly simplified !
Thanks for sharing 👍
wow! im just learning a bit more about fractals and im grateful for this video. awesome!
Stunning and brilliant!
Sands of time, fractals of the mind...
This is the dawning and the cosmos are responding to the colliding of thought to fracture the dense realities that have been imposed.
BRAVO!!!
The first time I saw fractals...the feeling that's who Iam from inside. I an fractals so clear and real...thanks for the moving flying journey into the fractal
I've owned the Frax HD app for years now...best app on my iPad and iPhone. Get it !
I just stumbled across this video. I had been showing my son the Frax app and he was blown away. I googled some videos about fractals so we could go a little deeper. The second video we picked was this one. It was not a link from the app or the website. When I realized this was a Tedtalk from one of the creators of the app I was thrilled! Maybe there was a nearly fractal certainty that we’d end up here. Sort of a decision tree like a fractal tree where no matter which branch we started from it would always lead to the same trunk. I just wanted you to know that your goal of stirring interest in mathematics by creating the app is working quite nicely, in young and not so young alike. Thank you!
Best talk on fractals I ever heard, thank you
I TRIPPED OUT WHEN HE SAID COULD THE BRAIN BE A FRACTAL - what an absolute legend!
I’m downloading your App as we speak!
That just blew my fractal ... I mean ... my mind! Thanks. Amazing!
This is immensely interesting, never thought I'd be excited about fractals!
I love these mentally stimulating videos! That last fractal looked like zooming into a butterfly's wing! 😌🤗😍🦋
pineal gland being a fractal in the heart of the brain, reminds me of my youth having moved to Venice Beach in the 60's and having my filters opened up by certain substances which was also life changing for me. I don't believe it's just a coincidence.
So NOBODY noticed that the shape his computer made was the same as 6:30? my mind was blownnn
He literally mentions that himself...
Um, yes, we also noticed that the Mandelbrot bears an uncanny resemblance to the Mandelbrot.
Wonderful: "The brain may not be a fractal but the mind . . ." As a serious student of the Seth material this spoke to me. I'm thinking of infinite probabilities here, and that is definitely something for me to think about. Thanks.
WoW this is amazing!
I feel at least our brain is a fractals creating machine, through our imaginations. Which branches and re branches billions of time in our conscious and subconscious mind, but still keeps the integrity of our human body and capacity. If this holds the natural cure for mental and emotion illnesses then it's a blessings we are born with.
I love this.
As above, so below.
"Quod est inferius, est sicut quod est superius, et quod est superius est sicut quod est inferius ad perpetranda miracula rei unius"
On earth as it is in heaven
Lol took the words right out of my mouth 👍🏾
As within and without
Stunning.
Did have Frax lite. Now I bought the app.
Hey this is awesome
As a medical student who enjoys fractals I'm very annoyed I didn't realise I am made of fractals on the inside
Think of it in terms of the spike protein in the mRNA vaccine for covid
Hi Ben...Jerry Rose here. I remember when dating your mom and you speaking about fractals. Knew you were a genius when you worked as a programmer for Kai Tools.
Beautiful ❤️
Here’s something I’m theorizing. If our perception of reality was indeed fractal (I personally believe it as such), could we mathematically anticipate the next frames of our perceived reality? It literally works with the stock market, and natural disasters. This is seriously starting to blow my mind and preconceptions of reality.
THAT IS SUCH A GOOD QUESTION!!
i share the same belief, but it is my understanding that fractals are determined but not predictable. Giving us a sense of free will, but rooted in determinism. in the same way all of our actions are based on our past experiences, but we cannot predict what will happen next, even though we know our past experiences.
I believe we are part of the fractal, not the fractal , but within us, the fractal memory, life reflects life
Please make the app available on the Playstore. A viewer from India ❤️
Awesome
Fabulous
After taking dmt, I can see fractals as almost a screen over my vision. When I close my eyes, I can see them much better and can go down a slow journey through a tunnel. I can look at any spot and it will go into that single spot and go deeper down the tunnel. If I smoke pot, I can see it much easier. If I use hallucinagins, they are clear even without my eyes closed. Yesterday I found that I can move and control the floaters in my eyes, to look at them directly. It's almost like looking through a microscope, moving my eyes up and around, until they are dead center. There is a depth to the floaters too. Some closer and some further away.
The video of the fractals he showed are very similar to what I see, with my eyes closed. Yet what I see is no where near as clear as the animation.
The kind of music most individuals like is a fractal you can hear. Constant repetition of a beat and choruses in the lyrics. But we need a balance of chaos with that order to keep it interesting. For instance the Verses of a song, and the occasional change or sound added into a beat is the chaos, the messy part. I experienced mushies a long while back, and there was one thing from my trip that sticks with me to this day. i couldn't explain it then. but the flavour of foods warp around making it taste so much more interesting. I can now say I expecirenced tasting different flavoured fractals after seeing this video. Oh and the sense of fractal behaviour in music is heightened too, which may explain why music seems to sound so much better under the influence. (I don't condone the use of any substance, it's just the experience i had.)
Did you know that fractals are everywhere in nature? Trees, clouds, veins, neurons, sea shells, and even galaxy clusters are fractals. Now think about this...procedurally generated video games use fractals to create what you see on the screen. Now think about the fact that some physicists think the entire universe might be a simulation. What if the key to unifying the fundamental forces of the universe involves fractals?
Yes, I think this too! It's possible that the mathematical gap between the universe at large (galaxies) and small (particles) could be bridged if mathematicians took a fractal viewpoint of everything that exists.
The definition of dimension used by Mandelbrot in his first full book is a logarithm. Logarithms are defined on the ENTIRE REAL NUMBER SYSTEM; yes, they include the negative numbers and all the irrationals and transcendentals, ALL "real numbers".
The primary purpose for studying algebraic theory is the principle if you can show a given set fulfills all requirements to be logically equivalent to another type of set, say positive whole numbers, you do not need to prove 1 unit plus 1 unit of your set equals 2 units; proving the equivalency of your set to whole positive numbers is all you need.
All arithmetic that can be done with real numbers can be done with 2 different Mandelbrot sets. We don't have to come up with examples to know this, algebraic theory affirms it.
The "infinitely long surface" on a meter of rough-cut wood becomes smoother, a lower fractal, by the 'subtraction' of sanding.
The sanding action---the making the wood's surface smoother---can be thought of as subtracting the fractal value of the sandpaper from the fractal value of the rough wood. The more sanding, the more subtracting, until the fractal for the
rough wood surface approaches closer and closer to 1, a completely smooth surface. (It never reaches D = 1, molecules are 'bumpy')
Over sand, you will make a hole in the surface (Zero fractal, zero dimension).
Keep sanding like a mindless robot, you go beneath the original surface. The "negative surface" of the sandpaper.
The world can be seen as interacting fractals. You can see the wind acting on sandstone, waves interacting with shore, roots working through soil, a caterpillar eating a leaf, you can see the whole universe as interacting fractals.
That is only the beginning.
Complex Numbers, the "imaginaries", were discovered via algebra. Euler never feared using them exponentially, hence his famous identity. Logarithms are just exponents rearranged.
Dare to create a fractal defined on complex numbers: You will reinvent all the "weird" aspects of quantum mechanics, including Bell's Interconnectedness theorem and quantum entanglement.
The next line of Blake's poem: "To hold infinity in an hour" maybe he was walking along that infinite real-world curve defined by the grain of sand, an infinite trip.
Whoa you kind of blew my mind, are you a mathematician?
@@TheTeehee11111 Many years ago I very much wanted to be, or a radio astronomer, but life took me in another direction.
Another example complex dimensions more easily suggests provocative questions than our current probability approach: If one approached quantum mechanics through 'imaginary' fractals, quantum tunneling would be a "no duh" phenomena.
Interesting side note: since there is an infinite regression of number systems (from the square route of ...the square route of -1), as described very well in algebraic theory around 1900, that could mean there are similar 'layers' of dimensions----all of them non-time dependent. All with infinite number of different points but no bigger or smaller, or first or last. I think only our "Real" universe would have order.
Looked at that way, it is hard to not get mystical, wonder why the word "real" was chosen to define our 'regular' number system. Given math history, "real" could just as easily been applied to only the whole positive integers. But 'real' was applied to even non-algebraic numbers such as 'e'. No logical, predictive reason it should have been.
Fractals seem to generate real looking landscapes better than any other math system. Math that matches reality closer, matches reality closer.
Bless
The Fractal Equation Z->Z(2)+C subjectively suggests that parallel realities stem from 1 original, snap into dual realities at the slightest event, and quickly become infinite. For literally every miniscule event building its own fractal branch. That's wild.
Life goes so deep. Yet we worry about the smallest things
word to the mushrooms .
Time and consciousness are of fractalic nature too
When you meditate, your kundalini may get activated, and you may experience the fractals in all the 5 senses. Yoga and yogic meditation probably leads to the removal of the filters of maya and experience the Universe in its infinite and eternal form. Scientists must explore yoga and fractals.
Amazing 👏 13:20
Can't wait to view this on 3D goggles/cardboard!
Everything is fractal. Reality is a fractal. Take a picture of anything, then zoom closer and closer,etc.take screenshot and zoom further. Our reality, us,etc. All fractals
Luckily I went into college when this subject was being created/discovered. i386 cpu back then took ages to generate the sets graphically. VR app?
Cant find the app, what's name of it?
Frax, for iPhone/iPad.
@@benweiss73 thanks
Gotta try this app on lsd
If you need visual stimulation while on LSD you did not take enough
stuckholm i watch mandelbrot zooms on lsd but it's not for the stimulation as i can see them in tree bark and grass while tripping but watching mandelbrot zooms makes me appreciate the math behind it all and it somehow makes me think and connect things in the universe even more that normal and i love it.
That is pointless as this app only simulates a very downgraded version of what is actually to be experienced behind closed eyelids on LSD. Like bringing your phone with you to a concert to watch the concert on a live stream instead of watching the actual concert in front of your eyes--err--behind your eyes, as it were.
What is lsd
His voice is so soothing
Agree!
No offense to him, but I find it annoyingly milk toasty. Way too soft spoken, without enough emphasis. Its like a fractoid that doesn't change, but only repeats.
to understand infinity fractals help a lot. Everyday life is completely filled with chaotic behavior yet it has order in it. Paradox I would say. Fractals are portions. Portions are never try to reach 1. But it fails desperately while trying to get there. so i just keeps going.
Also these are just mere visuals. You don't need to visualise that much. Just listen to your heart beat. It sounds steady, but in reality isn't; there is a little fluctuation in the metronome because of the chaotic oscillation. analogies are almost everywhere if you look closely.
Well. I'm tripping balls right now
12:07
10:54
this is so good, why so few views
So, fractals must be the closest we come to the sacred geometry or the formula/structure behind everything. It's the most natural/naturally feeling geometry. It would make sense if these images create something in us, because it could feel like being in nature, they feel natural to us. Could that be an idea?
Thanks. I heard fractals are part of classical physics as well as quantum mechanics. Is this a unification of some sort?
This is that what you can feel on LSD
Yes, also on ayahuasca... it's really insane on psychedelics!
psilocybin trip made me realize and see fractals everywhere in nature
This dude is satisfying
I want to create Korean subtitle on this. How can I do this?
눈꽃Snowflake I’m two months late, but if you find this video on your computer you can write the captions for this video in the same place you would normally turn on the subtitles.
YO if the Mandelbrot set contains an infinite amount of images wouldn't that mean that you could find a fractal arrangement in the our life looks? Straight up
Wth? This man must have been insanely clever!
The Hindu Symbol of Om is probably the mother fractal like the Mandelbrot set. More research is needed on this.
Only one link on google about google and Vedanta you find anything on it?
Nobody said it, so here it is:
Our universe could be a simulated reality made by AI using fractals.
There was such speculation decades ago. Before TH-cam.
I also have reason to believe this could be possible
Yes,zoom in on any photo...adjust exposure, contrast,etc. Everything is a fractal
What came first, the chicken or the egg
Spare a thought for William Blake . He grasped that Poetry and Mathematics
are somehow linked - that everything , in fact , is somehow linked .
At the time he was dismissed as a ' madman' - " Poor Blake ' they would mutter
and shake their heads.
I like your talk
Is there a way that I can come up with my own fractal, using numbers that I picked!
yes
Is there such thing as Reverse Fractal?
Wow, I also wonder!
I believe the ratio of the master fractal is 1.6
I live forever.
whats the relationship between Fibonacci and Fractals?
depthy
Boo to you putting it on Apple devices only and charging for it.
complexe dimensions are just about aleph and zoom
Has anyone tried the math in 3d or tried to calculate it with time added in.
Annnnd downloaded
Watching while tripping on LSD on NYE 2020 sydney and WHAAAAT
Bro this is me right now
water
The nervous system isn't processing EVERYTHING.
Rather, it is selecting out information not relevant to immediate survival.
Psychedelics interfere with this process.
It must process it to some degree in order to discard it.
African fractals!
do you ever see fractal in the sky? mostly by seeing it from an opened door in the dark room, i can see fractal upon blue sky.
two words rational dimensions ......
Whoa, wait! Did he just say the brain is not a fractal? That's strange. EVERYTHING in the human body is a fractal. The brain is designed structurally to fit the most amount of stuff in the least amount of space, and just as in holograms, the whole is in every part...
without fractal there will be no mouvements ....
maybe fractals are a universal language of nature. symbolic presentation that leads strictly to direct psychical state, like key-value.
doesn't matter which language you speak, a figure of human drawed on a wall may be recognized with African, Japanese and European the same way. Everyone understand cartoons, and using smiles.😁
were all connected, we are the same material)
Fractal obsession