Strange Spinning Tubes - Numberphile

Tadashi is back with more mathematical toys - this time small tubes which do intriguing things when they spin.
More links & stuff in full description below ↓↓↓
Extra footage from this interview: • Spinning Tubes (extra ...
More Tadashi Tokieda videos: bit.ly/tadashi_vids
Film by Pete McPartlan (who did the animations) and Brady Haran.
NOTE: Due to the limitations of cameras and KZbin compression, we adjusted some frame rates in editing in an attempt to better show the spinning tubes as they appeared to the naked eye. Still not sure how well we did, so please take Tadashi's word for it when he describes what we see! The best thing to do is make one yourself and just try it... It's actually quite easy.
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[@geoffcunningham6823]

Your animation person is utterly fantastic. Attention to detail: A+

[@numberphile]

+Geoff Cunningham that's Pete

[@xnick_uy]

+Geoff Cunningham I think the same!!

[@Mr8Ix]

+Geoff Cunningham What softwares can do this kind of animation?

[@pmcpartlan]

+Geoff Cunningham Thanks, glad you enjoyed it.

[@pmcpartlan]

+Mr. 8I Mostly Blender3D.

[@spinvalve]

If orange is the new black, then Tadashi is the new James Grime.

[@ardenvarley-twyman8352]

Nobody can replace James Grime. );

[@josevillegas5243]

+spinvalve each are great!

[@gokiyono]

+Arden Varley-Twyman Tadashi can

[@McJaews]

+spinvalve Why would we need a new James Grime?

[@culwin]

+McJaews It's a series of Grimes

[@jasondoe2596]

Videos with Prof. Tadashi Tokieda are always fascinating - and with just the right amount of wizardry and humour. Also, Pete's Blender animations are *incredible*, they really make the concepts of the video easy to visualise... It must have taken a tremendous amount of work!

[@Toobula]

That, my friends, is how you teach.

[@puupipo]

Ok, I haven't even finished watching the video yet (2 minutes remaining) but I just had to pause for a moment and say this: *The animations are fantastic!* They are extremely helpful in demonstrating what Tadashi is saying and really show how complexly you can look at the movement of the spinning tube. Thank you!

[@Triantalex]

??

[@PixelOutlaw]

Wow, what a low cost toy to make! A few feet of PVC pipe from the hardware store and you could have a fun gift for a large group of mathematicians or students.

[@numberphile]

+PixelOutlaw better than low cost... for the slow motions, i went my hardware store and asked them to cut the pieces to size... then they just gave me the small bits and said "no charge".

[@U014B]

+Numberphile Of course there's no charge. PVC is an insulator.

[@aajjeee]

+Noel Goetowski but what if you rub it with fur?

[@U014B]

aajjeee Ooh, kinky.

[@jasonfaulkner8644]

@@U014B Oh damn! Respect Noel.

[@tocosw2888]

Tadashi takes everyday playing around and explains it. Not with numbers, but step by step explanation of curiosity. He's the first mathematician that I understand

[@CoolGuy55000]

"Tadashi's toys" Does this mean that we'll see more of this awesome dude?

[@cheongziyong8871]

Love this guy. Like if you agree we need more of him

[@tenorsaxophone2012]

YES

[@EternalBooda]

+Cheong Ziyong I can see why a video like this would take more time and therefore not come up very often. That was an awful lot of illustration done in this video. But yeah, I love this guy.

[@logicallyvalid]

+Cheong Ziyong I sure would like more FOOTage of him!

[@cheongziyong8871]

+logicallyvalid Ba dum tssss

[@EliasBorchert]

+logicallyvalid I don't get the "foot man" thing

[@Pumbear]

This guy is the coolest guy of all the guys

[@heyandy889]

+Sander yes yes very cool guy

[@jawwad4020]

agreed!

[@Triantalex]

false.

[@carlhopkinson]

This guy explains this with exceptional clarity...must be a fantastic math professor!!

[@brandonthesteele]

The visual aids lend a lot of clarity to what Tadashi is talking about. Props to Pete McPartlan

[@40GallonTophat]

For whatever reason, this has been, by far, the most interesting video to date.

[@numberphile]

+Munkybut glad you liked it

[@amarug]

Amazing explanations, animations and slowmo footage :)

[@numberphile]

+Null cheers

[@Bluesruse]

+Null And accent.

[@paxpacis2]

+Null FOOTage

[@TakeWalker]

I love this guy's videos so much. It's like... why would you need to describe this motion mathematically? And his answer is "Because we can." :D

[@pfeifenheini]

Those animations are amazing. Making it nearly impossible to NOT unterstand everything. =)

[@N3bu14Gr4y]

I've been studying physics and mathematics for 22 years, and it still manages to surprise me. You guys should do a video about 1-dimensional cellular automata. Bonus points if you apply the method of defining 1-D rules to 2-D CA.

[@MarkHatlestad]

Fantastic video! Loved the explanation, and the animations as well!

[@boRegah]

This man is so chill.

[@Antediluvian137]

This is brilliant. The animations complement Tadashi's explanations perfectly. A true pleasure to hear the man speak. Would love to see more!

[@veloxsouth]

I like Tadashi's interviews. He always gives such deep insight into such seemingly simple questions.

[@danosa88]

this is why i love Tadashi, he can explain complex motions so clearly. I wish ALL math teachers had such gift. Gracias Numberphile!!!

[@macronencer]

It may by now sound like a broken record, but I too would like to praise Pete McPartlan for a superb job on the animations. They really are spot on, and added significant clarity to the video. Nice job!

[@Tomyb15]

Everything about this video is fantastic. From the thorough and satisfying explanation to the on point animations.

[@TheGreatNordini]

Great animations on this one!

[@stellarfirefly]

This is the most detailed and yet most accessible explanation of this phenomenon that I've ever seen. Kudos to both Tadashi and the graphics animator(s); they did an excellent job!

[@koolguy728]

Great animations for this one! These are some tough things to visualize but you've done a fantastic job

[@Scheezle]

Very interesting and mathematical subject, awesome presentation in practice accompanied by clear and easy to understand graphics make this the best Numberphile video to date. Thanks a lot Tadashi and Numberphile, this has been a treat.

[@amrsaber5457]

That's actually very beautiful, the animation the explanation, applying theorems and every thing ... that's for sure one of the best videos I have ever seen :)

[@laurentmeunier7823]

Wow your animations are becoming really good ! Super clear

[@Keex11]

Brilliant explaination and illustration. Very nice.

[@GraveUypo]

this is why i subscribe to this channel. i've have seen a few videos on this tube trick, but ALL of them only went as far as 3:48. this is so much more complete. love it

[@ThommyTheThird]

These animations really are something else! They go with the explanation perfectly, resulting in a really good video.

[@celkat]

Brilliant expose and analysis. Thank you for these videos Brady!

[@IstasPumaNevada]

I figured it out before he explained it! And then the animations and slow-motion were excellent tools for explanation. Very engaging video for such a simple little thing. So cool.

[@larreus]

Thoroughly enjoy your videos. You have a phenomenal ability to break complexity down to its constituent parts allowing the layman to understand. And gorgeous animations :)

[@StephenTack]

Tadashi is my favorite, and this is really well done! Great animations/diagrams.

[@fd7231]

Oh my... I don't know what I would give to go back in time and have him as my professor of analytical mechanics!! This is a FANTASTIC lesson on the motion of rigid bodies, a notoriously complex and traditionally very poorly taught topic. It is delivered here in such an understated and captivating style, with absolute crystal clarity and amazing animations. This is how physics (in this case) should be taught. Truly impressive. Thank you so much.

[@am2schmarvelous]

I LOVE Tadashi videos. He's always surprising me with cool things.

[@arturrosa3166]

I love Tadashi videos. I wish you had more of him. His topics are so interesting and so well explained.

[@Biped]

Props to Pete for the awesome animations. I can only imagine how much work that must have been.

[@sebastiansimon7557]

The animations are great and extremely helpful in understanding this!

[@buzhichun]

Excellent video. Understandable, clear and complete.

[@MichaelBoratko]

This is a great video, as always Tadashi is awesome, and the animations really are excellent here!

[@samtam721]

Must appreciate the efforts taken to make those animations... Fantastic

[@riturajseal6945]

This is a very nice application of rotational motion, a very unexpected one.

[@theSumanDatta25]

Fantastic animations by Pete, very well done. I wouldn't have understood the video without them.

[@alexeifando747]

A perfectly clear explanation, especially the important point in the end about the cusps. The animation is superb and greatly helped understanding. Numberphile ftw!

[@ItsAlundra]

Wow, the explanation with the animation made it painfully obvious how it works as if I should have known this.... Amazing work.

[@rhythmandacoustics]

Mind -blown, great explainer also! A mathematician that did not make me feel bored!

[@beakeclipse]

This would be a great way to teach kids about relative velocity in either a calculus or engineering/physics course.

[@jawwad4020]

I really really love the animation! Simply brilliant man- all was crystal clear!!

[@MrAgility888]

These animations really helped with the explanation. I don't think I would have been able to understand it without them.

[@adeel256]

love it how he draws you in with mystery and then explains the math behind it. also excellent animation

[@GhilledM21]

Wish our educational system had graphics as clear and brilliantly done as this, it would make concrete concepts so much easier to grasp.

[@coreyredmon5611]

Really good job to whoever did the animations.

[@rchandraonline]

There is definitely something invovled in "preferred frequency" because of the camera sampling rate (could be 30 Hz, maybe 60 Hz, etc., in other words, one of the standard video frame rates), so what we see on video is going to be somewhat different than what an eyeball would see. So when I see the tube with the 4:1 ratio, I don't stably see 4 of the color, because it's kind of beating against the camera's sampling rate.

[@raptokvortex]

+rchandraonline They mentioned adjusting it in the description to try and reflect what they saw. So it should be okay...

[@jimandtim1656]

One of my favourites in Numberphile!

[@Theraot]

Great visualizations! kudos to the animator.

[@atiff8717]

The animation helps a lot... keep up the good works

[@umcarainteressante]

Amazing explanation and animations, wow. Tadashi's so cool.

[@MJHellmannSci]

Excellent and understandable explanation. Thank you!

[@uiuiuiseraph]

This channel is pure awesomeness

[@ParasaraSridharDuggirala]

Being an educator, I try to imitate Tadashi during my demonstrations. But this one! whoa! I wont even attempt! Explaining things with such clarity and awesome graphics takes way too much effort and genius. Awesome video Brady!

[@mrNico1902]

Anazing animations and his voice is so amazing omg, so good explaining aswell. :)

[@jackstacks3989]

Great video, this man is wonderdul and eloquent in his explanation.

[@markw6031]

One of the better videos I've seen in a while.

[@stephenhicks826]

The cycloid explanation was brilliant.

[@lineikatabs]

I adore Mr. Tokieda! Such an amazing teacher. You're lucky to have him.

[@splodeyferret]

This video explains a very difficult concept amazingly well.

[@HunterJE]

An interesting note on the "floor-ceiling" symmetry mentioned - you can sort of see that effect if you look really closely in the original tests, from certain angles (e.g. around 0:23) you can see a little bit of the inside of the tube, and can indeed see the "wrong" color there intermediate between the "right" color bands from the part of the stripe on the inside of the tube...

[@user-yw4cf3yd2w]

these animations are amazing!

[@AsukaYaoi]

I love how Tadashi amuses me everytime, i really enjoy these videos ^^

[@minibuscus2]

I love Dr tadashi, cliff stoll and all your geometry videos

[@GoBobe]

I love Tokieda Sensei!!! He brings a whole new view to Numberphile by combining a little bit of physics in with math theories in these real-world applications, or I guess I should say toys. Each video with him makes this whole channel seem much more substantial and applicable in the real world than most math theories are on their own. Not to say the other professors aren't superb on their own, I'm just saying that Tokieda is very unique when it comes to teaching style and it's his and Cliff's videos that I get the most excited for on this channel.

[@srenjensen2836]

very god explanation, and fantastic illustrations! thumbs up for making us understand the first time!

[@reubs9730]

he can explain anything so well!

[@taylormoss6037]

I thought I wasn't going to like this video because I have seen this before, but the animations made it worth it for sure.

[@xenontesla122]

These animations are really nice.

[@UltimatePerfection]

Love episodes with this man. He really know how to teach, I learn so much!

[@otakuribo]

I love these animations; I love Tadashi; you guys did an outstanding job! 👍

[@lawrencecalablaster568]

Mr Tadashi, you are an awesome mathematician! :)

[@michaelrivera131]

Tadashi's explanation goes above and beyond anything I could've ever imagined. That man sure is a master of his craft.

[@KirbyEatsYu]

absolutely fantastic video

[@Ravlen1]

As everyone says, Tadashi is fantastic, and the animation really nailed it!

[@djdeluxe76]

„The velocity is zero at the point of contact - because that‘s what rolling means“ man I love this guy ^^

[@simi1911]

Your video si super! New things learned today!

[@mrZbozon]

More of this guy and the great animations.

[@TheMursk]

Huff puff puff puff

[@Backbeardjack99]

+TheMursk I almost thought that he said puff puff pass xD

[@lamardavis7063]

+TheMursk Yeah xd

[@wedfrest]

I read your comment at the exact same time he said that.

[@alexeym5968]

Great video, love your videos

[@deslomator]

I think this is close to the definitive video on spinning tubes, instant favorite. Any chance on getting the gyroscopic bit explained?

[@runemaster96]

These animations are so good

[@TheSLK66]

Nice, I really liked that cycloid explanation.

[@ThomasNimmesgern]

GREAT animations!!

[@JonLikes2Jam]

cycloid is beautiful.., thank you for the illustration

[@TrasherBiner]

Tadashi makes the most interesting math things. I remember the one with the balloon. All his experiments seem to involve materials in 3d and how they appear to us. I find this exciting. Keep it up Tadashi. I know I arrive late to the party, but nevertheless.

[@geonerd]

Love this guy's stuff. :) MOAR PLEEZE!!

[@cariboubearmalachy1174]

Very well done. The graphics help a lot. The problem with optical illusions based on movement, however, is that the camera frame rate can have very weird interactions with what you are seeing.

[@dan339dan]

I love channels that don't include click-baity titles. :) The click-baity title of this video would be something like "5 magical properties you want to know about this mysterious spinning tube"

[@metanim1]

Awesome! This is really cool!