To Hold Infinity In The Palm Of Your Hand

Visit the Tim's Toy Shop, at www.grand-illu...
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This simple little experiment shows something that we find quite profound.
Create a random pattern of dots on an A4 sheet of paper, and then make an identical copy of the dots on a sheet of acetate. It is important to make sure you are using an acetate that is designed to work in a photocopier!
Place the acetate on top of the sheet of paper, and align the two sets of dots.
Then. move the top sheet slightly, giving it a slight rotation. Immediately a circular pattern appears, around the point of rotation. It works the other way, in that if the acetate sheet has been placed randomly on the top of paper in such a way that the dots are not aligned, and a circle of dots appears, place your finger tip in the centre of the circle and rotate the acetate sheet in order to move it into perfect alignment.
Tim then goes on to show other experiments when the acetate size is made slightly bigger or slightly smaller than the paper sheet.

[@TravelGeeq]

This man literally spoke about dots on paper for 7 minutes and I paid attention to this more than anything else this entire year.

[@mrtoast244]

He respects the audience and doesn't waffle, which is a really nice change of pace

[@matman6494]

The magicians magic

[@matman6494]

The magicians magic

[@NaughtiusMaximmus]

I actually didn't notice this was 7 minutes long lol

[@j3arnold]

retention is going extinct

[@ActualAseelGamer]

Tim is Merely Demonstrating 1% of his Power here.

[@jps2360]

Tim does it this way because he knows the World is not prepared for his 2% of Power

[@liveuk]

Conclusions and demonstrating so many years of work is very rewarding without any effort.

[@Momo-bb2fn]

There’s some recent studies indicating he’s using only 0.1% of his power! Quite extraordinary.

[@Azloctifyy]

Really? I heard he isn’t even using any power

[@jacquelinesommerville7821]

'0.1%:'

[@coryman125]

My science teacher in grade 8 or 9 did this demonstration for us! He showed that the paper expanded evenly; the angles and relative distances between the dots didn't change, the pattern was identical, it's just that one paper is slightly bigger. And yet, if you line the papers up so that one dot matched (like the ring in the last example here), you can see that the nearer dots to it stayed mostly the same, while the further dots moved quite a bit. He then told us that's a great analogy for the expansion of the universe, and why it's possible for objects to appear to move faster than light away from us. The universe expands evenly everywhere, and so distant things move away from us very quickly, while things we can observe nearby (like our own galaxy) stay pretty close. I remembered it both as a very eye opening lesson, and a super fun visual, and sure enough it still holds up!

[@rickyseedo4067]

Space is fake just like an acetate paper tiger

[@johnreid5814]

The earth expands!?

[@nathanoher4865]

@@johnreid5814 No, space inside a galaxy and the things in a galaxy don’t expand. The expansion of space only occurs across extremely long distances of empty space, like gaps between galaxy clusters.

[@bayekofsiwa365]

You can also do it with a balloon with dots on them. The space between the dpts expands exponentially.

[@jujui4641]

Its a fun demonstration of the square cube law

[@KonstantinKopenhagen]

Interesting - didn't expect that something such simple could have that impressing effect. Thanks Tim.

[@Carcosahead]

Now, imagine you are the center (earth) and everything around is the universe expanding… mind blowing (with a pinch of existentialism) isn’t?

[@normanmccollum6082]

A board with a bunch of nails stuck in it, and some rubber bands, can prove to be a lot of fun too! :D

[@_Featch_]

@@Carcosahead But what is the exact analogy why you can recreate the effect of the expanding universe by twisting the copy of the dots on the papers?

[@HMFan2010]

@4:15 you begin to see what is known as a Moiré Effect when two identical patterns (or nearly identical patterns) are superimposed upon one another. If you move them you can achieve an apparent motion and/or a blinking effect. Sensation and Perception was my favorite class in psychology.

[@Talkingworms]

🎶 When a grid's misaligned with another behind, thats a Moire´ 🎵 (xkcd)

[@ashe_neko]

​@@Talkingworms underrated

[@meinbrazil]

​@@Talkingworms youre gonna get about a million likes right away

[@MV-vv7sg]

Could you suggest some good reading about perfection and visual sensations? I’m reading philosophy and it comes up allot but want to find some good scientific literature on the stuff!

[@HMFan2010]

@@Talkingworms That is absolutely epic! 😂🤣

[@lcusatis]

Tim never disappoints. This is excellent!

[@Brekner]

The fact that the center changes when you move it around is really awesome :o

[@MelindaGreen]

And it moves very quickly from the smallest adjustments

[@duffman18]

It's why wherever you are in the universe, you appear to be in the centre of it. Because wherever you are, everything seems to be moving directly away from you.

[@haemogoblin7006]

they told me humans have this uncanny ability to spot patterns and after watching this i dont doubt it even a bit

[@MelindaGreen]

@@haemogoblin7006 The flipside is that humans also have an uncanny ability to find patterns where there are none.

[@haemogoblin7006]

@@MelindaGreen I believe you're talking about superstitions?

[@Laurencetw]

Hey Tim. even though you never became a famous professional magician, I consider you something very close to that. I consider you a full member of a very old and small club that includes Martin Gardner, Harry Lorrayne, Dai Vernon, Karl Fulves - and more recently Ricky Jay, Michael Close. (sorry to others I can't remember at the moment). You may not be a sleight of hand expert, but your contribution is legendary and you stand among those greats imo. I am honored to know you and have a chance to comment here. God Bless you.

[@athomenotavailable]

He's a member of the Illuminati, keep it hush hush ok, else he'll send demons to silence us.

[@Tunafishloverr]

2M+ subscribers ain’t bad though

[@someone3195]

U have a weird way of complimenting. U kinda roasted the dude :,)

[@apexone5502]

From the opening credits to the program itself, this video is making me feel nostalgic because it reminds me of the type of programming I’d see on public television here in the states back in the day. Especially when public television would show educational programming from the UK. I’m digging this.

[@iboofer]

Tim, you're the best. I literally used to watch your toy demonstrations back in undergraduate studies years ago. I'm so glad you're still at it!

[@kevinsalvini2806]

This is one of the coolest, simplest, most complex things I've ever seen. What a great way to show that the center of the universe is wherever you are.

[@masterjunk9227]

This man is like a national treasure, I love each of the demonstrations of things he shows us, and the lessons he teaches! This demonstrates the expansion of our universe and how everything is constantly moving in the depths of space.

[@CrazedGamer117]

That’s way better than I thought. Could be a great teaching tool too.

[@DragonXero]

I managed to get this to work in Photoshop too! You can just drop down random noise, do some contrast and brightness to make fewer spots and brighter ones, duplicate, then transform! What's really cool is that you can actually watch the center change as you move the layer. Doing a size reduction makes it even more interesting. You start getting a clear diagonal movement of the center with size reduction and a turn.

[@kaustubhgupta168]

This is literally the coolest thing I have seen today! Thanks Tim!

[@Mrleejunman]

Coolest thing I have seen all week !😉

[@gunnarallgottsmann]

Yes, that’s what it is. Beautiful and unexpected. I wish everyone a prosperous, happy future 🕊🍀❣️

[@kaustubhgupta168]

@@gunnarallgottsmann Thanks mate

[@Praise___YaH]

Guys, Here is our Savior YaH The Heavenly FATHER HIMSELF was Who they Crucified/Pierced for our sins and “HERE IS THE PROOF” From the Ancient Egyptian Semitic: "Yad He Vav He" is what Moshe (Moses) wrote, when Moses asked YaH His Name (Exodus 3) Ancient Egyptian Semitic Direct Translation Yad - "Behold The Hand" He - "Behold the Breath" Vav - "Behold The NAIL"

[@gmanplaysgames256]

I was hooked from the first couple seconds of the video, wondering "what on Earth is Tim up to here?", And I was by no means disappointed. Well done Tim and the crew, my favorite videos of yours are definitely ones like this that provoke a bit of thought.

[@aron8999]

Hey Tim, I'm a math major. If you work with sheets of infinite size, as long as you either rotate or upscale even a little bit, you'll always find a point that lines up with itself - a "black hole" if you will.

[@mmedeuxchevaux]

is there a mathematical name for the black hole/spiral galaxy etc effects?

[@aron8999]

@@mmedeuxchevaux The point at the center is a fixed point. The sheets are the domain and codomain R2 under a contraction mapping. One could also summarize this by saying every isometry of the plane is a rotation around some point, and when coupled first with a scaling gives that point as the only fixed one.

[@samgab]

Actually, infinite such points…

[@aron8999]

@@samgab If the sheet is identical to the paper and you haven't moved it at all, sure.

[@ultimatelyinsane4501]

Plot twist: Tim is actually playing around with infinite multiverses and he’s just hiding it from us

[@generalgarand]

You can do this on photo editing software like photoshop or something similar as well! Create an empty layer over your white background, place the dots on the new transparent layer, duplicate the layer, then rotate the new duplicated layer and you will achieve the same effect at your desired pivot point!

[@mmedeuxchevaux]

great idea!

[@KelbPanthera]

I'm glad this dude is still around after the last few years took so many older folks from us. The world will be a little darker when he leaves us. Such wholesomeness and simple charm is so very rare.

[@Macieks300]

Tim can make even dots on a piece of paper interesting

[@snapeinvader]

This reminds me of classic programs that were fun and engaging without much need for anything over the top. The presenter Tim has a great way about him, really draws people in.

[@Raythe]

Tim has discovered the analog origins of 3D animation. Never change, Tim.

[@AgentExeider]

And it's because of this effect astronomers first falsely believed that you could, figure out the center of the universe, but then realized that you couldn't precisely because of the effect Tim just demonstrated. Since the universe, all points are expanding away from one another uniformly, if you pick any spot, and line up ANY dot, all the other dots will appear to be moving away from it, then if you pick another dot and line THAT dot up, all the points will appear to move away from THAT dot. and so on. Thus showing that there is no "center of the universe".

[@peoplez129]

There definitely has to be a center of the universe. Which means the observable universe is likely nowhere near it, as the initial point of the big bang would definitely still have a super giant blackhole. If the big bang happened, then matter would have to bunch up in the "explosion", and the expansion halting itself at some point by backing itself up. The point in the universe where the big bang started, likely coalesced into a super giant blackhole, because the big bang couldn't have been a uniform explosion, and so there definitely had to be a lot of mass remaining, which also pulled in mass that it had previously ejected. Basically the singularity had to explode until the point where it could be the maximum size a blackhole could possibly be, but at that point a bit more would also be stripped from it from the stresses, keeping it from being just on the edge of becoming a singularity again. So basically the center of the universe would be virtually indistinguishable from the edge of the universe, because both would appear like complete nothingness, except for the gravity pull when you got close enough.

[@cstrongman]

Such a simple yet beautiful phenomenon, no CGI needed

[@kristoffersonsilverfox3923]

As a wise man once said: "To see a World in a Grain of Sand, and a Heaven in a Wild Flower. Hold Infinity in the palm of your hand , and Eternity in an hour."

[@WaywardFax]

The quote comes from a William Blake poem.

[@deletoblue1109]

The Angel that presided 'oer my birth said, "Little creature, form'd of Joy and Mirth, "Go love without the help of any Thing on Earth.”

[@thesunman]

Every Night & every Morn Some to Misery are Born Every Morn and every Night Some are Born to sweet delight Some are Born to sweet delight Some are Born to Endless Night We are led to Believe a Lie When we see not Thro the Eye Which was Born in a Night to perish in a Night When the Soul Slept in Beams of Light God Appears & God is Light To those poor Souls who dwell in Night But does a Human Form Display To those who Dwell in Realms of day

[@actualturtle2421]

I love this bc it's not really trying to teach me anything, it's just "hey, isn't this neat?"

[@Wozzup1223]

It brings me such joy that these videos are still produced, love Tim and all of his many collection!

[@kentslocum]

It's insane how good our brains are at detecting patterns in random dots.

[@miguel.ibieta]

What an interesting video! From a mathematical point of view, you showed a way of visualizing some transformations of the plane: Translations, rotations, dilations and the combinations between them. We were able to imagine the path a point would follow under the action of these transformations (lines, circles, spirals...)

[@AABB-px8lc]

more like human brain ability to fill missing parts of image if it "think" that it is same object but moving.

[@mitaskeledzija6269]

​@@AABB-px8lcdoesn't dismiss the fact that this is how our universe is shapes a mix of strings and planes lol

[@TorchOnTarget]

If there was ever a live action adaptation of the old D&D cartoon, this guy could easily portray dungeon master.resemblance is on point.

[@trevor_dunn]

So cool! I wonder what kind of effects you could make with multiple layered acetate sheets? Or what about different colored sheets or even gradients or shapes? Different colored dots? Probably some neat effects you could make if you programmatically printed out some designs. We need a part two trying these! 😊

[@finminder2928]

This new intro is actually fantastic. Great job to whoever has made it

[@ComplexVariables]

I could see doing this with two or more duplicate layers in Photoshop. Great stuff, thank you!

[@michaelcox3257]

Could watch Tim do a video on anything and would enjoy it, great video as usual, guys.

[@williamrobinson7435]

This had to be rewatched. There is some fabulous stuff on my subscription channels this week. This is DEFINITELY one to revisit, and ideas to try out! Extra nice one Tim. 🌟🌟👍👍

[@fuzzy-02]

I have been enlightened. Everything is so interconnected so simply yet can be studied with so complex sciences

[@gravyz2cute4u]

What a simple, yet interesting way to create space/galaxy backgrounds! Thanks for the explanation

[@adamhughes4442]

Truly astonishing effect from very simple apparatus. Chaos evolves into order, random dots turn to recognisable patterns....Aeons later Atoms form to create life. The natural order of things.

[@22fingers]

order evolves into chaos look around you ,fractals create life from a point outwards , when you look at space you do look back in time but you also look inwards

[@atacstringer8573]

So simplistic but so fascinating thank you Tim

[@whozz]

Moiré patterns are fascinating! This one is called Glass pattern. Other types of patterns can be seen on TV screens, fences with closely spaced bars, car grilles and even on banknotes to prevent counterfeiting

[@TheMonikutes]

This is truly marvelous, I had never seen such effects before! And to think, that it's so accessible and quite simple to achieve, what a spectacular trick.

[@learnquran6959]

I just find the British art of explaining the greatest and the most unfathomable mysteries, like showing a fish at a pond to a child, very amusing.

[@alliebonesVODs]

I think you could get some really beautiful effects by doing something like this with different colors! You could also probably use different shapes besides dots!

[@orange-vlcybpd2]

To keep the curiosity of a child through a lifetime is amazing.

[@ominous-omnipresent-they]

Rotating the acetate sheet creates an effect analogous to stellar rotation.

[@Jabersson]

Absolutely wonderful the little (or big) worlds our minds can create!

[@nullifye7816]

That's a really cool pair of flat motionless planes!

[@jedstanaland2897]

You are absolutely amazing in so many different ways and you have always brought me joy every time I see one of your videos and I hope you are around for much much longer.

[@opticalmouse2]

What a paradox! Man holds infinity in the palms of his hands.

[@athomenotavailable]

Depending on the displacement, our brains connect each pair of dots as little lines and imagine a vector direction for them so there is a sense of spiral or circles or radiating out/in.

[@Rooftopaccessorizer]

You could apply this concept to plotter art actually . In a drawing app, add in a variety of shapes of throughout the page and simply copy that result and rotate it. You could experiment with layering, size, randomness, colors etc. then just have your plotter draw the whole thing on paper.

[@aliendude99]

I Remembered I watched these videos several years ago, I'm really glad you're still making them 😁

[@gamingguru1305]

Look, I can hold infinity in a much easier way..... Just draw a line on paper and hold that paper stiffly in your hand. OP Explanation: A line is a collection of an infinite number of points. 👍👍👍

[@vryerocker7867]

I’m convinced that this man is a wizard, the most whimsical wizard you’ll ever meet specializes in illusory magic

[@mamuteddymad]

This was awsome! One of the best videos of this channel! 😊

[@sajidabatool4659]

Hi Tim, I am 68 years old and I love your videos. I watch your videos because your videos made me think about old days.

[@davidshi451]

I love this! Tadashi Tokieda did a fantastic video on Numberphile about the mathematics behind these patterns

[@hobbes281]

I'd love to see that! Do you have a link?

[@crains8087]

@@hobbes281 kzbin.info/www/bejne/h3LNkmWgpZaJoKc

[@taka55303]

kzbin.info/www/bejne/h3LNkmWgpZaJoKc

[@jayhawk184]

@@hobbes281 kzbin.info/www/bejne/h3LNkmWgpZaJoKc

[@Ir00nyc]

This is so simple yet so cool it feels like arcane forbidden knowledge

[@harrygoodwin1795]

Beautiful stuff, still providing us with wonder after all these years Tim! ❤

[@TheTechAdmin]

4:13 Whoa! It's so amazing how the "blackhole" moves around the paper as he moves the top sheet.

[@wbeaty]

Re-invention forty years later! Cool! I was messing with this around 1982, while developing slot-aperture 3D printouts[1]. I even published (in the local Mensa newsletter, Rochester NY.) Also about ten years ago I saw it cropping up somewhere online. Besides the zoomed radial version, notice odd behavior when peeled up, creating a gap between sheets. And so we try sticking a plate of clear 1cm acrylic between, and that makes it move around whenever you shift your head, or walk past it. More: with extremely dense dots, the center becomes a white patch (where dots are overlapped, not adjacent.) A white blotch, which from a distance, moves up or down when you walk past. Then, put the zoomed sheet in front of the un-zoomed paper, w/plastic slab between. The light patch is now a real image, floating in front of the device. Stick your eye there, and the light patch grows to cover the entire plate. (It's a nonrepeating Moire' pattern, some amorphous "Moire' glass" rather than crystalline. ) Great minds THINK TWISTED. (And when forced, minds move 90deg from what one would expect?) . [1] I stumbled upon the idea that we can make real 3D postcards by using arrays of pinholes rather than arrays of lenses. Or more simply, arrays of narrow vertical slits, with a clear plate. In front we have a transparency of slits (use line-zipatone, photocopied onto transparency.) Then behind, make stereo-pair art from two collections of superposed vertical lines. Now align the sheets, and your left eye sees one pattern, right eye the other, just like 3D postcards do it via lenticular arrays. The image is pretty dark though. Use white paper, and backlight the hell out of it. (Heh, I didn't take it any further, or even publish, and then about three years later, someone else patented the same thing. Oh well.)

[@annaclarafenyo8185]

Orbits in real life are ellipses. The equal-size copies generates circles, the slightly bigger generates geometric spirals. Both work by generating infinitesimal vector fields and your eyes create the integral curves. The vector fields you create are isotropic, so the motions they generate are group motions of the plane, this is rotations and dilatations in various mixtures, and those are important for forming structure in the universe as well, for different reasons, but the universe symmetries include boosts. If you meant this as an introduction in symmetry to physics, this is fantastic. If you meant it as a mechanism for universe generation, it's lacking.

[@billgriffiths1685]

Tim is the Willy Wonka of the Toy world.

[@SmokiWonKenobi]

This is actually fascinating. Reminds me of the old 1960s music videos with the overlays of colors and shapes. They used a similar effect

[@DavidRTribble]

Mathematically speaking, these are simple linear transformations, which are just X-shift, Y-shift, rotation, and scaling. All of these transformations can be done using matrix arithmetic (3x3 matrix operations on 2-dimensional point coordinate lying in a plane).

[@black_rhino241]

Do I need to learn how to transfer the energy from a horse through stirrups to achieve the power of infinity?

[@JG-vq7td]

Only if you like horsing around for eternity.

[@asheep7797]

No. Just throw pepper everywhere on your paper, photocopy, and you get ∞.

[@brukujinbrokujin7802]

This guy is stereotypical disney grandpa who makes mechanical clock in his 3 story tree house.

[@Ucatty2]

This is very neat to see, Tim! Thank you for showing us!

[@FlamRackett]

Another great video Tim. I understand it would be taxing to your health but a live tour of your toys, tricks and magic would be awesome

[@bhasty1]

Go back to the classic introduction. It was genuinely sweet.

[@macyk113]

Everyone: you can't conquer infinity. Tim: casualy holds infinity in 1 hand

[@wj11jam78]

This demonstrates something interesting about the expansion of the universe, in that the expansion centres around the frame of reference. The center of the expansion / spiral would be the position of the observer. It doesn't matter where you are in the universe, everything will expand away from you at an equal speed. Compare that to standing on a large plate which is expanding from it's center according to itself. If you hovetef above the center of the plate, any other objects would get further away from you, with the furthest expanding away the fastest, and the closest expanding away the slowest. But if you moved away from the center, the points closer to the center would move towards you, and eventually past you. The universe does not expand like this. The universe expands more like a balloon. Let's say you were standing on the surface of a balloon as it inflated. It wouldn't matter where you stood, everything would appear to expand out from where you stand. This is exactly how the universe expands. We are stood on the surface of an expanding 4th dimensional universe, as it stretches its way into time itself.

[@michaelmccrory2220]

Using such simple things and making them interesting is so clever and creative, this is what makes watching KZbin so worthwhile. Who needs Photoshop! 👍

[@incarnage]

Just took this idea to photoshop, you can create the duplicate layer with 2 clicks so its super easy to have a go on there. Within 5 minutes I had some really cool results, thanks for the tip!

[@culwin]

We are all just living in a simulation controlled by Tim.

[@brittanyscammer4080]

POV when you pay more attention to some guy talking about dots on a piece of paper than in all you classes combined.

[@Sikanda.]

His voice is so pleasant to listen to. His little exercise is quite inspirational

[@toecutter8002]

I feel like a kid again watching Mr Wizard on Nickelodeon in the mid 80s eating a bowl of cereal @ 6:45am waiting for my school bus to swing by @ 7:05am to pick me up and off to school! and yes Mr Wizard really came on @ 6:30am!

[@niwaniwaniwa]

Tim feels like a very fun grandpa to chat with.

[@jackb3822]

What I guessed the affect would be was pinching them by the crosses and pushing them together, making them bow out a bit and make it look like 3d stars.

[@lovingthesauce]

Amazing! This episode could’ve been on Art Attack back in the day👍👍

[@ahom_ahom_ahom]

A very good demonstration how the expanding universe is illusory.

[@curtisnewton895]

I just love his little world of underwhelming bs. and the enthousiasm that goes with it. I am always so disappointed yet I keep coming back

[@jollyog]

It’s nice to see you still here on KZbin and posting videos still

[@Ratnoseterry]

Now imagine seeing this with your own eyes looking at a clear night sky, and being unable to see it ever again

[@maki_zuninnn5457]

I absolutely love your channel, I’ve been watching for years now and it never failed to bring me joy!

[@choppyaussemsadventuressta3363]

I don’t dislike the opening...... it just still manages to surprise me. 🙏🏻🙏🏻🙏🏻

[@NoFeelings..]

The question has to be asked - what if everything we know about space is just a Grand Illusion and Tim’s the Master of the Universe teaching us through KZbin?

[@harrybyaqussamprayuga1756]

The wow factor directly correlate to the number of dots. Very interesting!

[@CantcerCause]

Guys, do the dotting on the transparent sheet FIRST then you can just use a normal photocopier with normal paper. I think Tim just misspoke 😅

[@boium.]

This is a beautiful physical example of Banach's fixed point theorem.

[@joemechwar4338]

Just listening to his voice took me back to a child watching Dr Who with Jon Pertwee (3rd doctor) OR any war movie with David Niven!!!

[@panchoverde5078]

You hold infinite possibility in your hands. Earth is a place where there are an infinite plane of universes existing at once.

[@newlibertarian139]

"A long time ago in a galaxy far, far away...." the force is strong with this one

[@user-xc7uo6md3n]

Tim is getting more and more powerful with each video

[@iamdigory]

I'd love to see mathologer build off of this

[@pauljs75]

With a computer and imaging, I wonder if you could use this kind of process for stellar navigation? If you could ID the visual centers that form from certain alignments to a grid and use stereoscopic cameras while knowing the current time... Not sure if that makes sense or not, but it's just one of those abstract thoughts where this phenomena may have an application.

[@SamanthamusPrimeV28050]

Tim is 81 years old and still is doing these things.

[@Mycikakat]

"Very interesting indeed" My brain and its ability to NOT be confused: aight imma head out