Turning Spheres Into Squares-Stereographic Projection

In this video I show you how stereographic projection works and how you can map spheres onto 2d planes and even make some really neat photographs!
Get Your Experiment Box Here: theactionlab.com/
Checkout my experiment book: amzn.to/2Wf07x1
Follow me on Twitter: / theactionlabman
Facebook: / theactionlabofficial
Instagram: / therealactionlab
Watch other popular videos from my channel
Gömböc-The Shape That Shouldn't Exist
• Gömböc-The Shape That ...
Shooting a Nerf Gun Backwards While Driving At The Bullet's Speed Forward
• Shooting a Nerf Gun Ba...
Superhydrophobic Knife Slices Water Drops in Half
• Superhydrophobic Knife...
Real-Life Invisibility Cloak Can Hide Anything! How Does It Work?
• Real-Life Invisibility...
What's Inside the Worlds' Fastest Heat Conductor?
• What's Inside the Worl...
Can You Use Umbrellas Instead of a Parachute?
• Can You Use Umbrellas ...
Opening a Bottle of Liquid Nitrogen Under Water!
• Opening a Bottle of Li...
Warning: DO NOT TRY-Seeing How Close I Can Get To a Drop of Neutrons
• Warning: DO NOT TRY-Se...
*Any experiment you try is at YOUR OWN RISK. The Action Lab assumes no responsibility for any injury if you attempt anything you see in this video or on The Action Lab channel.

[@RamiSlicer]

This channel and Kurzgesagt are definitely my favorite science channels. They're just so calm!

[@phantombinks1453]

hey you know them too!

[@gudimetlaraj5860]

Yes

[@fareszeater]

They've uploaded new video yesterday

[@kuisikut955]

I’m suprcribed to both of them :)

[@nagenderviriventi8733]

What about vsause

[@jermbomb8131]

Action lab: turning a circle into a square. Me: OK, now he can manipulate the matter of space tiMe and the laws of geometry itself.

[@Bobb11881]

All these squares make a circle.

[@vinayakupadhyay6458]

I have a question that why do atoms of elements contain neutrons if they can exist without them. For ex- Ordinary hydrogem atom

[@TheActionLab]

They need the neutrons in order to keep the nucleus together. If protons get too close they will fly apart because they are all positively charged. But the neutrons help space out the protons and don't let them get too close. And since protons and neutrons both are attracted to each other it helps hold the nucleus together without letting the electric force of the protons push them apart.

[@vinayakupadhyay6458]

@@TheActionLab Thank you sir for such an easy to understand explanation.

[@zeuxlaught2797]

@@TheActionLab which forces are present between nutrons and protons to keep them together?

[@pratikkarangle]

@@zeuxlaught2797 Nuclear force

[@gabor6259]

@@zeuxlaught2797 The nuclear force, also known as strong force. It's an attractive force between 2 protons, 2 neutrons or a proton and a neutron. But if these particles get really close, the strong force becomes repulsive.

[@justsomeonewithanezukopfp8224]

My brain cells are increasing At the same time it's decreasing

[@nkatekongomani9389]

🤯😱

[@furiousphoenix9784]

So it stays the same

[@extraterrestrial1666]

Maintaining equilibrium

[@ScrotN]

FuriousPhoenix it depends on what brain you have

[@fundemort]

So 1 part is getting bigger and another part is getting smaller.

[@fundemort]

Mark Rober: I make very cool, very fun engineering and research videos. Action Lab: I make little cool, little fun, mind-blowing science and explanation videos.

[@animationspace8550]

Ok

[@raymitchell9736]

Is the reason the Action Lab kits are back is that the shaving cream experiment is now possible since Mr. Action is no longer shaving (as evidenced by his beard and mustache) and therefore his (rather large) personal supply of shaving cream is now available for science? (lol) Hey, Just kidding I'm enjoying your videos... A class assignment was to write a ray-tracer in my graduate computer science graphics course way back when, and it covered projections, it was neat to hear you revisit some of the subject matter.

[@ashryashukla8354]

I am in love with this channel ...hoping for the 5 million reach of this channel... Love from Uttarakhand India ❤️❤️❤️❤️

[@sarthakkumarbehera1015]

Are you preparing for IIT-JEE

[@blazebe4t67]

Interviewer: where did you complete your graduation? Me: university of action lab

[@destroyishere4655]

Interviewer: I see, you get the job.

[@jamesgrim8606]

His videos are always so full of information and the way he explains it is just awesome! Keep up the amazing work you do!

[@diabolicallink]

This is such a cool explanation of these. I use stereographs all the time in my geology classes and I feel like this would have helped a lot when I was first introduced to stereographic projections

[@quahntasy]

*Probably the best experiments channel on KZbin right now*

[@AV8R_Surge]

Love your simple, easy to understand, explanations.

[@11dsky78]

This is a brilliant piece of illustration to explain this information.

[@nevada3464]

This is one of my favorite video on your youtube channel noww

[@infernalcentaur8868]

Superb bro that was epic and somehow appealing to the eye

[@YGOrochi]

TheActionLab: remember, we LIVE on a 3D object... Flat Earthers: *TRIGGERED!!!*

[@louisteoh5877]

But, isn't a disc 3d too?😅

[@hamerneil]

@@louisteoh5877 no but yes

[@xaytana]

The joke doesn't work, they believe the surface is flat, but there's still a thickness, as fully observed by the ground having depth. As daft as flat earthers are, it's even more daft to believe anyone thinks that we live on a 2D surface with no thickness in the third dimension. Even the thinnest of materials have a thickness to them, 1D and 2D are only theoretical concepts and components of our 3D existence.

[@zantar666]

Stereo graphic projection.. Awesome stuff again dude

[@MammaOVlogs]

love this, amazing and what about the flat earthers lol

[@LlamaBG]

great videos, as always

[@dimitri_tsm]

Action Lab is full of Bite Sizes Mini-Experiments that is perfect to watch while having dinner.

[@Name-js5uq]

That is so freaking cool thank you for showing us to us but I've already seen it before but I still love it and I've also seen a whole bunch of different variations on this theme and they are all really freaking cool but still thank you very much!

[@animeshvishwakarma01]

I LOVED THE CONCEPT OF YOUR VACUUM CHAMBER AND I AM GONNA MAKE ONE FOR ME. THANK YOU :)

[@BrickAnchor]

Whoa that is sooo cool!

[@mitaskeledzija6269]

This is so cool! 😍

[@matthewsaulsbury3011]

Wow, that's really cool and amazing! 👍🏻😀

[@paulj5499]

*Next video: What happens if you put COVID-19 in a vacuum chamber...*

[@EzeePosseTV]

It becomes David 19 times.

[@The-hatted-one]

Be nice

[@destroyishere4655]

I'm assuming that the COVID-19 particles in the air will simply be pumped out, and I think the rest that are inside won't be affected.

[@samathaclassroom5147]

This is amazing

[@meyejasmedia]

A neat lighting idea

[@bartekk4023]

3:23 - Valetta, Malta!

[@abhiramcd]

This channel brings me so many ideas..

[@CJWarlock]

Awesome! :) I like the topic of 3D projections of 4D objects. This is of course associated topic. Thanks. :)

[@isaiahnelson1870]

This is an amazing channel

[@SharnavTech]

Amazing

[@ayo4646]

You are so f*ing calm, it’s awesome.

[@Amira_Phoenix]

on the 2d map the poles are actually stretched over all the un an down sides. it brings their value to infinity which is what dividing by zero actually means.

[@projectmanagement2356]

Thank you ALab

[@masterjunk9227]

I have a question: Would it be possible to create a machine (say a car?) that ran off of water, yet simultaneously was able to pull in moisture from the air and filter it, storing the extra moisture in a separate tank for later use so that if one of the tanks ran out, you’d be able to swap them out via a switch to keep on the go for long periods of time?

[@harshivpatil573]

I have a question for you from the 'Black Hole White hole collision' video. What will happen if i glow a torch in a perticular direction and then ran with a normal speed in the opposite direction in which light is propagating. Then can we say that the light partical is moving with the speed more than light?

[@mannerlyMediator]

On the topic of map projections, 1:55, take a look at the Dymaxion Projection. It keeps proportions and scale roughly accurate by sacrificing location. it cuts the earth along bodies of water to unfold it into a flat plane

[@Sankethscs]

I like this channel very much

[@the.hungry.engineer]

Hello, Action Lab. There's something I'd like to see done with the vacuum chamber perhaps in a future upcoming video. Please forgive me if this has already been done on this channel - but how about raising the vacuum chamber that's pulling full vacuum with a straw attached to the base that feeds into a bucket of water below. One can then measure the height that the water column rises in the straw. The vacuum chamber will "suck" the liquid up the straw, but of course, its merely the atmospheric pressure pushing down on the liquid surface in the bucket and the pressure difference forces the water up the straw. Anyways, keep bringing us great content, man! Thumbs up from me!

[@JustinY.]

So this is how Nasa fit a square peg into a circular hole

[@RamiSlicer]

oh hi Justin.

[@bigbobtank1563]

Oh justin y is here and still alive notic me senpi

[@74thingsforfun11]

I see you I’m every comment section

[@austinwhiteted8231]

U r a legend my dude

[@solvirt2777]

Maybe..

[@christianheichel]

Could you do some sort of reverse thing where instead of them turning into squares they turn into warped squares? Maybe a design similar to the sphere one but cubed instead with perfect squares instead of warped squares? I don't know if that would work I'm just asking questions.

[@egiteguhyp2480]

Nice!

[@JohnSmith-td7hd]

That would make a great lampshade. Maybe you need to use a program to calculate and design a 3D model to 3D print out, based on how far it is from what it's projecting on, but it would be very cool.

[@bhavishaysharma9572]

The action lab: It's not only action , but reaction lab too.🔥☢️

[@bijeshshrestha2450]

huh

[@bhavishaysharma9572]

@@bijeshshrestha2450 Yeah ??

[@bhavishaysharma9572]

@@Memer9456 I didn't write for you. So , it's a humble request to you to be quiet.🤫🤫🤫

[@Skarrald]

Which cameral lens is needed to take the tube like photo? I love :)

[@tgradish4029]

Action lab: You can experiment on anything you want around the house Me: *glances at my cat then back to the puffed up shaving foam*

[@aliceliddell8413]

no

[@nudayabhaskar8135]

Hello sir I am yours fan your video's are amazing

[@spicemasterii6775]

Henry Sagerman's channel has a lot more on this.

[@kartikaysuri1707]

This kind of information could potentially help us solve the black hole information paradox....

[@vandanapopuri9530]

I have a question When does the sale on the vacuum box end?

[@ignessrilians]

Excuse me , so does this mean that there is no mapping capability from (n)th dimension to (n-1)th dimension? Just because that 1 specific dot right?

[@iconiclearn7848]

Where did you buy it? I also want to buy one.

[@zz1774]

This is exactly what I was searching for! One question please. What is the relationship between the clarity of the shadow and the size of the room, the size of the ball, and the wattage of the light source? For example, 2cm diameter of the ball, 30W of the light source, casting shadow on all the walls of a 30m^2 room, then what clarity can I expect? Of course, I can try it by myself and I will. But, any comment, known limitations, or theory? Thank you!

[@prakharsingh5530]

Is the side in stereografic projection proportional as angles are equal.

[@swamihuman9395]

Great video. Great explanation. The STEREOGRAPHIC PROJECTION SPHERE (SPS) is fascinating. As a math teacher, I use it often: students connect with it intuitively, then the underlying math can follow. What is YOUR target audience? Age range? Cognitive level? I ask, because I have a critical comment regarding terminology. So, feel free to take or leave the following... At [1:22] you say, "Now, why would we ever need to take a 3D object like this to map it onto a 2D object?... Remember, that we live on a 3D object like this [Earth], so it's a 3D sphere, and..." Technically, a sphere is actually just a 2D object: it is a surface, with no inside. Mathematically, a SPHERE plus the inside is a "BALL". The tricky, technical part about a SPHERE is that it is a 2D object which is often EMBEDDED in a 3D SPACE. So, a SPS regards a MAPPING from one 2D object (a SPHERE) to another 2D object (a PLANE). Imagine if you also had to map all the points inside the sphere! (Technically though, as 3D printed, the SPS is actually 3D.) On a related side note, a CIRCLE (a LINE SEGMENT wrapped around) is a 1d object often embedded in a 2D SPACE (a PLANE). If the inside is included, it's called a "DISK". So, loosely, colloquially, we say "SPHERE" (or "CIRCLE") when mathematically it's a "BALL" (or "DISK"). OK, teacher mode off :D OK, again, great job. Keep it coming!:)... P.S. I love the Action Labs! Well done.

[@kalpanarms9597]

Mathematicians: trying to square a circle! Action lab: trying to square a sphere! 😱🤣

[@hackerpro8097]

Which software do you use can we download in phone

[@pigeon3036]

Cool

[@TheFakePlayerGame]

Perfect timing, trying to understand weird things

[@RM_VFX]

Where is the link to print or buy this sphere?

[@jimiwadnola1323]

Is there an STL file for this??? I wanna 3D print it and do it myself.

[@scoobertmcruppert2915]

3:11 That shot kept moving on me...like it would open and close when I was looking at it. Subtle, but every time I adjusted my gaze it would happen.

[@elizabeth_grim]

I have watched every one of your video s and every day I check to see if there is more!!!! We need more!!! Is it possible to test yourself for covid with a microscope?? Probably not but from home but you can figure it out!

[@iron_cookie9695]

You can put this thing into your new science boxes. Also make a video about 4th dimension

[@zonian8782]

it looks cool as a lamp

[@elihaugh4162]

Here’s another video idea: Can vibration travel through a vacuum or is vibration a type of sound?

[@gbmalalis.i]

whoahhh i wish i have that kind of thing

[@Bobb11881]

Where did you buy it?

[@neojohns2487]

I think there is a theorem which says, all information of the euclidean space can be stored in a non euclidean space. Could you please make a video on that.

[@christmassnow3465]

So if you look through it with one eye at coordinates 0, 0, 1 (where you put the LED), you should also see perfect squares.

[@jblspeakersandmore277]

You should do somthing about soil liquid fashion or that one thing that happens when a earthquake make the soil that’s saturated and makes it a liquid

[@glenmgeorge7791]

Can you make a video on superfluid helium liquid.

[@khalidelrafie6513]

Hi, could you plz kindly have a look to this attached URL related to the flat earth. I would love to hear back from you on this matter. Thanks

[@z1re784]

Is someone gonna tell em?

[@fourierrocket]

@@z1re784 let's wait, and see how long it takes.

[@ThePrufessa]

4:45 prepare your mind to be blown starting NOW!

[@pandarojo327]

Can i print that and use it as a lamp in my room?

[@extraterrestrial1666]

This was so cool 😎 😎, how can I contact you

[@johnm.6975]

Hey action lab! I am a Chemical engineering student right now going into my senior year! I am very interested in graduate school and I was wondering if you could talk about what your career looked like after your PhD and before KZbin?

[@TheActionLab]

After my PhD I went to work in the semiconductor industry. I started as a process engineer, but now I'm in research and development. I really like it. Semiconductors or oil are two great routes for chemical engineering. But with your PhD you can get some different positions that have no glass ceilings. I am very glad that I did my PhD, I highly recommend it if you are interested and driven to complete it!

[@johnm.6975]

The Action Lab thank you for your response I really appreciate it! How cool that you have an R&D job and run this successful KZbin channel. Truly I would like to be doing the same thing one day. I have looked into semiconductor manufacturing and chemical vapor deposition. I like it because it uses a ton of mass xfer and process control and I think that’s great. Again, thank you for your response and I love these videos.

[@MhdAliAlashkar]

أحسنت خيال واسع

[@bigbobtank1563]

Yes

[@Drewkas0]

There are 3 geometries: sphere, plane, hyperbolic. You showed sphere -> plane. Can you do a video on plane -> hyperbolic? (and sphere -> hyperbolic?)

[@ven5707]

*Real shit*

[@bijoychandraroy]

Remember we live in a 3d object Flat earthers: Angry 2d noises

[@knownas2017]

We're smarter than them, because they only have two dimensions.

[@ThePrufessa]

2:15 just like on a map Greenland is nowhere near is big as it is projected. Well on the standard 2D map that's most commonly used.

[@3dplanet100]

If ancient civilizations knew this, they would make one out of rock and when the sun hits it at a specific time of the year, would appear with squares. You know, people back then were fascinated by geometry and astronomy.

[@jordancutting6384]

You should try 3d printing a sphere which is "closer" to the sphere with the z=1 point removed. The closer you get to this sphere the larger the projection will be.

[@MrMycotic]

Got imagine this in 4D space with 3D shadows

[@gaeshows1938]

will this trick work with a fleshlight?

[@briankerr4512]

cool

[@anshbhilare9565]

UV unwrapping in a nutshell😂

[@vivekmanimaran408]

When are you going to start your world domination project 🌍😁?

[@lordsuvrowwwyall7425]

After the corona passed

[@bergydermeister5616]

We can rule the world Pinky

[@jaison8263]

Hi doraemon

[@harveyhuman327]

I want to ask that, if space is a 3d place then why we use gerenal relativity to observe the space because it defines us the space as a plane...answer please😄😄😄

[@johnyepez2049]

🤯

[@shubhamchand5800]

Does it get delivered in India

[@oathboundhero1782]

Action Lab, will you please make a video about why 0!=1 is impossible?

[@sutapadey5274]

(n-1)! = (n!)/n if n = 1 then (1-1)! = 1!/1 0! = 1

[@oatlord]

Will popcorn kernels pop in a vacuum chamber with your laser as a heat source?

[@dendedende5204]

ALL THESE SQUARES MAKE A CIRCLE

[@obsidian9998]

8:10 so a pneumatic bridge rectifier.

[@Capt_Chaos_91]

Yes, when you you shine a light on something, it will project a shadow relative to the location of the light source...