The Secret of Floppy Paper - Numberphile

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  • Опубликовано: 7 сен 2024
  • Tadashi is back, this time looking at drooping paper (and toilet paper).
    More links & stuff in full description below ↓↓↓
    Subscribe to Numberphile and never miss a floppy paper video: bit.ly/Numberph...
    Playlist of Tadashi Tokieda videos: bit.ly/tadashi_...
    Pizza and Gaussian curvature: • The Remarkable Way We ...
    Support us on Patreon: / numberphile
    NUMBERPHILE
    Website: www.numberphile...
    Numberphile on Facebook: / numberphile
    Numberphile tweets: / numberphile
    Subscribe: bit.ly/Numberph...
    Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumb...
    Videos by Brady Haran
    Brady's videos subreddit: / bradyharan
    Brady's latest videos across all channels: www.bradyharanb...
    Sign up for (occasional) emails: eepurl.com/YdjL9
    Numberphile T-Shirts: teespring.com/...
    Other merchandise: store.dftba.co...
    A NOTE ON THIS VIDEO:
    A few of our Tadashi videos blur the already blurry line between mathematics and physics... Some people suggest they may be a better fit on Brady's dedicated physics channel (called Sixty Symbols).
    In response, the reasons they are on Numberphile are:
    1) Tadashi, while certainly a modern polymath, is based in a mathematics department.
    2) This sub series (with its animation and extra production work) has been supported by the Mathematical Sciences Research Institute, a Numberphile collaborator.
    3) Some of the previous and future Tadashi videos are more math-oriented than physics - and it just makes sense to put them on one channel rather than dividing the series between two channels on an ad hoc basis.
    In a multi-disciplinary world, it is challenging to run RUclips channels which people come to associate with just one discipline.
    That said, feel free to go over and watch hundreds of physics videos on Sixty Symbols --- / sixtysymbols

Комментарии • 548

  • @twalton
    @twalton 8 лет назад +568

    Tadashi is one of my favorite stars of this channel. "I don't know if it's the first time that toilet paper makes an appearance in numberphile..." XD

    • @SeleniumGlow
      @SeleniumGlow 8 лет назад +19

      Agreed. This man has an amazing sense of humor.

    • @garbage63
      @garbage63 8 лет назад +6

      That toilette paper was terrible.

    • @francomiranda706
      @francomiranda706 8 лет назад +11

      +BocoCorwin Rob is being terrible, while the toilet paper is being tearable

    • @timothyrades9831
      @timothyrades9831 6 лет назад +1

      Number2phile

  • @Blackmark52
    @Blackmark52 8 лет назад +617

    I'm very familiar with paper grain, but the insight into their role in toilet paper was absorbing.

    • @ObiWanCannoli
      @ObiWanCannoli 8 лет назад +5

      Toilet puns

    • @jonahlee8894
      @jonahlee8894 8 лет назад

      HAHAHAHAHAHAHAAA

    • @chucksherron
      @chucksherron 8 лет назад +1

      👍

    • @anantdixit3831
      @anantdixit3831 8 лет назад

      You win the internet!

    • @rparl
      @rparl 8 лет назад +3

      (Pun acknowledged)
      A recent trend in commercial TP is the use of unperforated paper. This shows why it doesn't work well. (End rant)

  • @SithBowman
    @SithBowman 8 лет назад +255

    For more info on Gaussian Curvature, find the video numberphile made called "The Remarkable Way We Eat Pizza"

    • @numberphile
      @numberphile  8 лет назад +50

      yes, it is also linked in the video description of this video. or it is right here: ruclips.net/video/gi-TBlh44gY/видео.html

    • @dlee645
      @dlee645 8 лет назад +9

      I was thinking the exact same thing.

    • @arturmizuno
      @arturmizuno 8 лет назад +46

      KLEIN BOTTLES

    • @42scientist
      @42scientist 8 лет назад +2

      +Artur Mizuno there is no link but klein bottles are cool

  • @Amphibiot
    @Amphibiot 8 лет назад +30

    This guy has the magical gift of making any boring subject incredibly interesting. He is absolutely fantastic.

  • @JRCSalter
    @JRCSalter 8 лет назад +48

    As an amateur bookbinder, I am fairly chuffed with myself for knowing the solution before he said it.

  • @ImmaterialDigression
    @ImmaterialDigression 8 лет назад +401

    This man needs to start a mathematical toy shop

    • @letoiiatreides2466
      @letoiiatreides2466 8 лет назад +77

      I'd buy his toilet paper.

    •  8 лет назад

      +

    • @QMPhilosophe
      @QMPhilosophe 8 лет назад +1

      But I'd get it new...even tough used is probably cheaper.

    • @slendy9600
      @slendy9600 8 лет назад +7

      he needs to partner up with Tim from Grand Illusions

    • @direc85
      @direc85 8 лет назад +2

      Perhaps he could team up with James Grime ;)

  • @AlRoderick
    @AlRoderick 8 лет назад +163

    There should be a link to the gaussian curvature video with the pizza slices that you did with the Klein bottle guy. That was the big math thing in this one and he breezed past it pretty quick.

    • @numberphile
      @numberphile  8 лет назад +41

      Here you go: ruclips.net/video/gi-TBlh44gY/видео.html

    • @BhupinderSinghSaini1
      @BhupinderSinghSaini1 8 лет назад +1

      +

    • @Sam_on_YouTube
      @Sam_on_YouTube 8 лет назад +4

      Having seen that video, I figured out what was happening as soon as he started moving the binder clip.

    • @pavphone2616
      @pavphone2616 8 лет назад

      "Klein bottle guy" sounds like a fun superhero name

    • @Sam_on_YouTube
      @Sam_on_YouTube 8 лет назад +1

      +Pav Phone You could get some great supper powers out of that. Able to walk through walls using the 4th dimension. Lock him in a box and he'll always be outside of it.

  • @tiuk23
    @tiuk23 8 лет назад +44

    Im a simple man, no matter what is video about, I see Tadashi, I upvote.

  • @Cadrid
    @Cadrid 8 лет назад +15

    I will never get tired of Tadashi videos. Does he have a superpower to make math interesting?
    I mean, he just talked about paper rigidity--including toilet paper--and I was riveted. That's not natural!

  • @chucksherron
    @chucksherron 8 лет назад +552

    Tadashi said he's becoming SmarterEveryDay.

    • @The0x539
      @The0x539 8 лет назад +80

      And he introduced some Objectivity into things.

    • @Gremlins422
      @Gremlins422 8 лет назад +39

      Its nice to see some PeriodicVideos of Tadashi on Numberphile.

    •  8 лет назад +1

      ×

    • @Gremlins422
      @Gremlins422 8 лет назад +3

      Jan Cillié Louw Now the question is: What is x?

    • @itskelvinn
      @itskelvinn 8 лет назад +4

      Destin is borderline a douche. Hes so rude and always interrupts his guests to make his lame jokes. I feel like he tries too hard to make himself seem like a science expert rather than teaching his audience.

  • @vasilivanich3842
    @vasilivanich3842 8 лет назад +64

    Our body has a certain anisotropicity to itself as well. One can easily find it out when trying to use toilet paper in perpendicular fashion to the usual way.

    • @gimpdoctor8362
      @gimpdoctor8362 8 лет назад +92

      yes it's also very easy to tear someone in half vertically but much more difficult to tear someone in half horizontally. You can try it at home.

    • @MIbra96
      @MIbra96 8 лет назад +12

      +Ben Nutley I tried it with myself but it hurts a little.

    • @Borednesss
      @Borednesss 8 лет назад +1

      Muscles and bones are anisotropic, I guess

  • @nathanielsharabi
    @nathanielsharabi 8 лет назад +3

    thank you for giving me the wisdom of the structre of toilet paper🙏

  • @samhaberman
    @samhaberman 8 лет назад +36

    Absolutely incredible. One of the best Numberphile videos for sure.

    • @numberphile
      @numberphile  8 лет назад +15

      that's kind - cheers for watching

  • @dave5194
    @dave5194 8 лет назад +24

    Never thought I'd learn something about the engineering of toilet paper on numberphile, that was pretty cool

  • @ricardo.mazeto
    @ricardo.mazeto 8 лет назад +44

    I love when people explain mathematical concepts with easy real life examples.

    • @TheFreezeChill
      @TheFreezeChill 8 лет назад

      Nope, thats physics.

    • @ricardo.mazeto
      @ricardo.mazeto 8 лет назад

      TheFreezeChill Physics is a branch of math.

    • @theangrymathematician9121
      @theangrymathematician9121 8 лет назад

      +Ricardo Mazeto Or rather should be. If you ever took advanced physics it is mostly statistical simulations used rather than analyitical methods.

    • @theangrymathematician9121
      @theangrymathematician9121 8 лет назад

      +The Angry Mathematician Then again statistics is also a branch of math. Huh. I am drunk.

    • @L3ON360Z
      @L3ON360Z 8 лет назад +3

      that's one of the best things about Tadashi. He always does this :)

  • @villanelo1987
    @villanelo1987 8 лет назад +31

    About the video description... I think it was perfectly fine to put this video (or others from Tadashi) in this chanel.
    It is true that they show concepts in a different way then others, but in the end, he is talking about mathematical concepts most of the time (gaussian curvatures in this case), the difference is just that he has applied examples of said mathematical concepts instead of the usual theorical explanations.
    I mean, I know this is just the opinion from some random guy on the Internet, but reading that description made me think that maybe some people is complaining when Tadashi appears, so I just wanted to offer a different opinion.
    I love his videos, and I think they fit perfectly in here.

    • @batfan1939
      @batfan1939 8 лет назад +2

      I love the applied stuff. It really compliments the theory videos!

    • @23Scadu
      @23Scadu 8 лет назад +2

      I'm not too concerned with whether Tadashi's videos go up here or on Sixty Symbols (I subscribe to both anyway) as long as they keep coming. They're absolutely delightful.

  • @zahbaz
    @zahbaz 8 лет назад +3

    1.) As a researcher who deals with anisotropic materials, I found this to be a very beautiful demonstration. Thank you for sharing.
    2.) This Numberphile video was dangerously close to discussing a different sort of "brown paper."

  • @gg2023
    @gg2023 8 лет назад +2

    I would freaking love to have Tadashi as a math teacher.
    It's like these weird brain goosebumps I get every time I watch something of his.

  • @verdatum
    @verdatum 8 лет назад +1

    Speaking as a woodworker, and massive fan of composite materials, "anisotropic" is like the best term I've learned in MONTHS!!!!!!!!!!!!!!!!!!!!!!!!!

  • @invaderpopz
    @invaderpopz 8 лет назад +11

    I love tadashi and I loved the connection to the Gaussian curvature! I only understood that part because I had previously watched the pizza video :) now I feel smarter

    • @Anolaana
      @Anolaana 8 лет назад +3

      Hooray, I'm not the only one who remembers Cliff's video about Gaussian pizza curves!

  • @pinkdispatcher
    @pinkdispatcher 8 лет назад +1

    The straight vs. across tearing works very well with newspapers, which use very anisotropic paper. And it makes for a nice party trick, asking people to tear it in a straight line, and after demonstrating how good you are at it, you hand it to them, but rotated 90 degrees.

  • @superj1e2z6
    @superj1e2z6 8 лет назад +25

    It's your boy Tadashi TOYkieda!!!!

  • @naikshibabrat
    @naikshibabrat 7 лет назад +1

    I agree with the above response. A scientist once said "Mathematics is the language of physics", or in this case mechanics of solids or deformable bodies. In applied mechanics and mathematics, these problems are studied using PDEs and experiments. When mathematics is done for the sake of it, as in pure/abstract, we always find some new applications/physical problems that use those tools. For example, Hardy's work on number theory that is used in cryptography.

  • @brianpso
    @brianpso 8 лет назад +7

    "Everyday I get a little smarter" This is my way of life and I feel proud to know that it is yours too, master.

  • @Ambidextroid
    @Ambidextroid 7 лет назад

    I love his accent, it's somewhat like "engrish" but at the same time incredibly clear and he pronounces words really nicely. I can hardly say "rigidity" without it sounding like a total mouthful.

    • @briandeschene8424
      @briandeschene8424 7 лет назад

      Ambidextroid
      He has lived and studied in Japan, France, and U.K. so I believe his accent and vocabulary is a wonderful blend of those very different ingredients. I hear aspects of all three languages when he says certain words and phrases.

  • @JeoshuaCollins
    @JeoshuaCollins 8 лет назад +3

    **Bows deeply**
    Thank you, Tadashi. That was wonderful. I would love to see more videos from you and your toys.

  • @maldoran9150
    @maldoran9150 8 лет назад +9

    What a great teacher!

  • @bwatspro
    @bwatspro 4 года назад +5

    Toilet paper from Mathematical Sciences Research Institute. The feeling when toilet paper has better credentials than you.

  • @SocksWithSandals
    @SocksWithSandals 5 лет назад

    I just understood anisotrppy and Gaussian curvature but watching a bloke play with bog roll for five minutes.
    Great teacher

  • @SquirrelASMR
    @SquirrelASMR 2 года назад +1

    Wow awesome! I wasn't expecting that, I was expecting a trick like him sliding the paper slightly. Awesome

  • @ExhaustedElox
    @ExhaustedElox 8 лет назад

    Tadashi-sensei breaks down why mundane things work the way they do so cleverly and clearly. He is a great educator.

  • @SaveSoilSaveSoil
    @SaveSoilSaveSoil 4 года назад

    I have been interacting with paper for decades but never noticed these hidden secrets! Love Tadashi!

  • @danielgrala7538
    @danielgrala7538 7 лет назад +3

    "would Mr.tadashi please return the toilet paper to the bathroom for its intended purpose."

  • @Mephistahpheles
    @Mephistahpheles 6 лет назад

    Love that this guy does so much with stuff simply "around". In grade school, I recall the difficulty in science classes when told to "come up with your own experiment". MANY students had no idea WHAT, nor HOW. (Sadly, I didn't have a teacher that inspired. It was nearly all memorization.)

  • @RodeyMcG
    @RodeyMcG 8 лет назад

    The Tadashi videos are such standout highlights in this channel. Just excellent

  • @sitearm
    @sitearm 8 лет назад

    nice! also explains why it's hard to tear out articles from the newspaper - up and down tears easily by hand but horizontally have to crease hard or use scissors : )

  • @chrisbell8207
    @chrisbell8207 8 лет назад +56

    I want him to read me bedtime stories

  • @theatheistpaladin
    @theatheistpaladin 8 лет назад

    I love Tadashi. Turn math concepts into practical yet rarely known factoids.

  • @ricodelta1
    @ricodelta1 7 лет назад

    I watch Tadashi's videos primarily to listen to his voice. It's quite soothing

  • @HerrLavett
    @HerrLavett 8 лет назад

    Relaxing video. It is now clear that I will watch and listen to anything Tadashi says about anything, anytime.

  • @nymalous3428
    @nymalous3428 8 лет назад

    I love mathematics, of all kinds, but Tadashi seems to apply mathematical principles to what most people would consider to be non-mathematical circumstances. And he does it in such a way as to be fascinating! He is just wonderful to listen to! (And he is actually the first person I ever saw who did math with his fingers and toes...) Thanks for sharing this!

  • @Teth47
    @Teth47 8 лет назад

    I'm at 1:20, here's my guess: Paper is stored on large cylindrical reams before it's cut, it retains some of this curvature as a bias to bending in one direction over the other. You flipped the squares after cutting them so that when laying on one side, gravity plus the top paper's bias overloads the bottom paper, which would want to curl upward. When you flip, the bottom paper is biased downward, and the upper paper is biased upward, so they separate. You also rotated the original bottom square 90 degrees to produce the same effect when you precess to the next edge.
    Let's see if I'm right.
    3:43 I overthought it. At least I was close!

  • @40GallonTophat
    @40GallonTophat 8 лет назад

    This dude always has the best videos. He finds the most fascinating properties about everything!

  • @AxeManAnthony
    @AxeManAnthony 8 лет назад

    Only Numberphile can manage make an educational video about toilet paper construction this damn interesting.

  • @andsunds
    @andsunds 8 лет назад

    The grain orientation in toilet paper is more of a consequence of how the paper is manufactured. You want to be able to roll up the paper into the toilet paper roll as it's manufacture, so it's produced by spraying paper pulp onto a conveyor belt where it dries and is afterwards rolled onto the roll. This makes the fibers line up along the length of the toilet paper.

  • @oogalook
    @oogalook 8 лет назад

    The most comforting voice I've ever heard. Like a mattress of butter.

  • @TheGreatRepertoire
    @TheGreatRepertoire 8 лет назад

    Very interesting. Thank you for your great videos.

  • @nassar8
    @nassar8 8 лет назад +1

    i love the videos you do with Tadashi. effortlessly entertaining and often intellectually challenging at the same time, a winning combo!

  • @neropatti1504
    @neropatti1504 8 лет назад

    Tadashi and James Grime rock my world. More, plz!

  • @Aleph_Null_Audio
    @Aleph_Null_Audio 8 лет назад

    I always get excited when a new video with Tadashi comes out.

  • @gogyoo
    @gogyoo 8 лет назад

    The ideogram for "tree" mutating into the picture of an actual tree was a nice touch!

  • @egalomon
    @egalomon 8 лет назад

    Drawing a tree on the "right" paper, but only the japanese (or rather, chinese) character for "tree" on the "bad" paper. Nice detail!

  • @darkmage07070777
    @darkmage07070777 8 лет назад +7

    2:00 - "And we shall call him...Mini-Todashi."

  • @platinummyrr
    @platinummyrr 3 года назад

    this man is an excellent teacher! He really makes things feel exciting and ensures that the listener wants to go learn more on their own!

  • @DrRiq
    @DrRiq 6 лет назад +10

    I watch this guy before I go to parties so I can do cool party tricks
    jk i have no friends 😢

  • @astrielmaahes1116
    @astrielmaahes1116 8 лет назад

    I discovered this property of paper when i was 10. I did origami all the time and realized folds going in one direction would be easier to make and less rigid than the other perpendicular direction.

  • @CristiNeagu
    @CristiNeagu 8 лет назад +90

    Learning solutions to problems we never knew we had. Engineering...

    • @42scientist
      @42scientist 8 лет назад +1

      Exactly...

    • @amyloriley
      @amyloriley 7 лет назад +4

      Well, it was a problem once in history. Then they solved it. Now they pass on the knowledge to you, should you want to make your own brand of toilet paper.

    • @urble
      @urble 5 лет назад

      man i love maths and science

  • @GoldenBoyz2000
    @GoldenBoyz2000 8 лет назад

    I have now watched every tadashi video.. I need more!

  • @RalphDratman
    @RalphDratman 8 лет назад

    What a great teacher. Thank you Tadashi and of course Brady (who is silent in this one).

  • @closair
    @closair 8 лет назад

    Tadashi has a very interesting way of thinking, and I learn cool stuff from these videos!

  • @paulbentley2709
    @paulbentley2709 5 лет назад

    Brilliant. What a demonstrator.

  • @alexanderschestag3247
    @alexanderschestag3247 5 лет назад

    Tadashi is great. Even I understand everything he explain.

  • @ceruchi2084
    @ceruchi2084 6 лет назад

    Tadashi and Stoll are the best for bringing math into everyday life

  • @mcsoloo
    @mcsoloo 8 лет назад +6

    tadashi rules! more videos plz!!

  • @chillsahoy2640
    @chillsahoy2640 8 лет назад +1

    So you're getting...Smarter Every Day? Anyway, I'd never thought this much about paper before but it really is quite a fascinating material once you look into its properties. We take it for granted that it works the way we want it to.

  • @Liana8310
    @Liana8310 7 лет назад +1

    I love the animation when Tadashi is the one lecturing

  • @Veptis
    @Veptis 7 лет назад

    We work with paper and cardboard in school. Right now we do book binding, so I knew the answer really quick.

  • @Liana8310
    @Liana8310 7 лет назад +1

    I can tell weird paper when I do watercolors. The pigment bleeds through the texture/ small ridges. Also happens when you use mechanical pens

  • @sigurjonmyrdal3873
    @sigurjonmyrdal3873 8 лет назад

    Tadashi - absolutely brilliant and entertaining.

  • @charlesfudge2
    @charlesfudge2 8 лет назад

    Awesome, more Tadashi. Keep the videos coming!

  • @giorgigogashvili2549
    @giorgigogashvili2549 8 лет назад

    One more usage of directional strength is in plastic bags, the long polymer molecules are aligned from the handles to the bottom.

  • @FlumenSanctiViti
    @FlumenSanctiViti 8 лет назад

    Toilet paper - humanity's greatest invention! Could you just imagine a world without it?

  • @Srinamamuduli
    @Srinamamuduli 8 лет назад

    This Guy A Genious.Always Out Of World Thing.

  • @mikjnomis
    @mikjnomis 8 лет назад

    Tadashi's videos are the most interesting to watch

  • @andriypredmyrskyy7791
    @andriypredmyrskyy7791 8 лет назад

    I do shodou too! Tadashi just keeps getting cooler.

  • @mrninjadude100
    @mrninjadude100 8 лет назад

    As a Materials Science Major, this is actually really awesome to see.

  • @vancewade6251
    @vancewade6251 8 лет назад

    This is more material science than anything but I don't mind one bit because Tadashi is the best.

  • @franciscoguerreiro3250
    @franciscoguerreiro3250 5 лет назад

    I really found all this new information about toilet paper quite tearable

  • @JustinKoenigSilica
    @JustinKoenigSilica 8 лет назад +1

    well done and well animated!
    Neat trick.

  • @Chowder0o
    @Chowder0o 8 лет назад +2

    This is the only man who can make me watch a seven minute video about paper.

  • @jbrowsingj
    @jbrowsingj 8 лет назад

    Truly amazing. I could listen to this man explain anything for hours. Such a talented teacher!

  • @SecretofTerra
    @SecretofTerra 8 лет назад

    Really enjoyed it, especially the bit with calligraphy!

  • @TimJohnson69
    @TimJohnson69 8 лет назад

    excellent explanation and demonstration

  • @dusandusan4611
    @dusandusan4611 8 лет назад

    Tadashi kills it every time!

  • @TheShnitzel
    @TheShnitzel 8 лет назад

    Tadashi is so fun to watch! He explains very cool things in a really understandable way!

  • @nburakovsky
    @nburakovsky 8 лет назад

    Tadashi is absolutely killing it

  • @BillM1960
    @BillM1960 7 лет назад

    He never ceases to amaze me.

  • @shawnsmith1865
    @shawnsmith1865 7 лет назад

    I like how he takes the simplest things and make them Einsteinishly interesting!!

  • @fattyzhang1995
    @fattyzhang1995 4 года назад

    my mind is so blown right now....
    I may never recover from this

  • @coolmdj111
    @coolmdj111 8 лет назад +40

    Thank goodness this isn't a *SciShow* video... Trolls there would have a field day with this topic! :P

    • @ObiWanCannoli
      @ObiWanCannoli 8 лет назад

      Look no further than the comment section.

    • @ze_rubenator
      @ze_rubenator 8 лет назад +1

      Oh, God...

    • @dlee645
      @dlee645 8 лет назад +8

      I know what you mean. The comments there have become annoying.

    • @imaderobotsoccerteam
      @imaderobotsoccerteam 8 лет назад +12

      Wait... Why is there tissue paper around .....Ok lets stop here.

  • @NoriusNr1
    @NoriusNr1 8 лет назад +14

    Never gonna look the same way at toilet paper again xD hahah

  • @888SpinR
    @888SpinR 8 лет назад

    Yes! More Tadashi!

  • @iGuysCOMEDY
    @iGuysCOMEDY 8 лет назад

    Tadashi and Stoll are my two favorite people on this entire channel.

    • @balsoft01
      @balsoft01 8 лет назад +1

      What about Matt Parker?

    • @gojoubabee
      @gojoubabee 8 лет назад

      +Александр Бантьев Ahhh yes. Tadashi's great, but for me, no one can beat the deadpan sarcasm of the legendary Matt Parker.

  • @manrajdhanda
    @manrajdhanda 8 лет назад

    Absolutely wonderful video! One of my favourites

  • @davidmyers5224
    @davidmyers5224 8 лет назад

    tadashi is awesome. I love videos with him

  • @drummer265
    @drummer265 8 лет назад

    I love every video with him.

  • @triplebog
    @triplebog 8 лет назад

    I love tadashi's voice so much.

  • @macazu75
    @macazu75 8 лет назад

    imteresante...otro punto bastante interesante de Numberphile...les agradezco compartir estos "poco observables pero muy matematicos detalles cotidianos" . Muchas gracias.

  • @AnandKrishAK
    @AnandKrishAK 8 лет назад

    A brilliant demonstration!!!

  • @TheTombot
    @TheTombot 8 лет назад

    Tadashi, you impress me all the time!