Beautiful Card Trick - Numberphile

Ғылым және технология

Standup mathematician Matt Parker says this 27-card trick is the most mathematically beautiful - but it takes some explaining!
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NUMBERPHILE
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Пікірлер: 1 700

  • @mr.champion7304
    @mr.champion73047 жыл бұрын

    "im gonna call the top pile the zeroth one, the middle pile the first one, and the bottom pile the 2nd one" this proves he's a programmer

  • @Leblribrbrrq

    @Leblribrbrrq

    Жыл бұрын

    He's working in base 3/mod 3.

  • @nuzayerov

    @nuzayerov

    2 ай бұрын

    loll yes!

  • @Shirgene
    @Shirgene8 жыл бұрын

    "Famous brown paper'

  • @flappybird5067

    @flappybird5067

    8 жыл бұрын

    +Maximillian Shirgene hahaha

  • @samanthapaul650

    @samanthapaul650

    8 жыл бұрын

    This man is a legend XD

  • @willawanders

    @willawanders

    7 жыл бұрын

    IKR

  • @bartermens8219

    @bartermens8219

    7 жыл бұрын

    He has 5 stars in my book.

  • @mathiasoleander2077

    @mathiasoleander2077

    7 жыл бұрын

    Max Max m

  • @DArtagnonW
    @DArtagnonW10 жыл бұрын

    This looks like a good place for my favorite number-base joke: Why do programmers get Halloween and Christmas confused? Because Oct31 = Dec25

  • @Jaime_Protein_Cannister

    @Jaime_Protein_Cannister

    5 жыл бұрын

    @s je except for the languages that don't use that syntax. Let's not forget it's just a joke like 1+1 = 3

  • @sdsdfdu4437

    @sdsdfdu4437

    4 жыл бұрын

    @s je that's actually just the syntax of some languages, not proper definitions. The '=' in how it's used in imperative languages does not make sense because you cannot reassign variables in math, so something like 'x = x+1' makes absolutely no sense from a mathematical or circuit standpoint. In some languages, '=' is the boolean operator and they have a symbol ':=' that means to set definitions.

  • @Calax93

    @Calax93

    4 жыл бұрын

    @s je you sound fun at parties

  • @GeodesicBruh

    @GeodesicBruh

    4 жыл бұрын

    s je If you consider oct(x) and dec(x) as functions then I don’t see anything wrong with saying that oct(31)=dec(25).

  • @JimC

    @JimC

    4 жыл бұрын

    And in the USA, they sometimes confuse those with Thanksgiving Day when it falls on Nov27.

  • @OrigamiPie
    @OrigamiPie8 жыл бұрын

    Any coincidence this is the 27th video in the playlist of Matt Parker's Numberphile videos?

  • @rewrose2838

    @rewrose2838

    7 жыл бұрын

    +OrigamiPie Keima Katsuragi is my fav.~

  • @matthewgough9533

    @matthewgough9533

    4 жыл бұрын

    Sounds like a parker square conspiracy.

  • @Triantalex

    @Triantalex

    10 ай бұрын

    yes

  • @Biskwyy
    @Biskwyy6 жыл бұрын

    The passion, you can see it in his eyes when he explains mathematics. This is a person who loves conversing with the universe.

  • @lloydbotway5930
    @lloydbotway59306 жыл бұрын

    Just wanted to point out (as was noted below by Sonja Quan) that this trick works equally as well with 64 cards. You have to convert the chosen number (number of cards from the top), minus 1, to base 4 using 1, 4, 16 instead of 1, 3, 9, and number the positions in the deck 0 to 3, top to bottom, and deal 4 piles each time (3 times), Otherwise it works the same way. This can be extended similarly to any deck of N-cubed different cards. Other generalizations are possible, if you don't mind dealing LOTS of cards.

  • @nelsonschell
    @nelsonschell7 жыл бұрын

    It's possible to do it blind folded! LIKE A BOSS!

  • @MDC.Design.Motion

    @MDC.Design.Motion

    7 жыл бұрын

    brilliant idea!

  • @soumikroy6683

    @soumikroy6683

    6 жыл бұрын

    wow.... best idea.!!! 👍👍

  • @MrDonsullivan

    @MrDonsullivan

    4 жыл бұрын

    Yes it would

  • @gambler1650
    @gambler16504 жыл бұрын

    Loved this trick! I've been dabbling in card tricks for awhile, but this was the first one I learned enough to actually try out on some friends. I added a few elements for the presentation. I split the deck in half (26 in both) then tell the spectator to have a card in mind and then pick either of the decks. I then tell them to go through the deck while I leave the room. If their card is in the half deck they have, they'll place it in the other deck and shuffle, otherwise they place any random card from their deck into the other deck. Either way, the other deck now has one more card and their card (27). Seems complicated writing it out, but it worked well. Then I come back in and perform the trick, doing some cuts while they tell me their favorite number. Probably the only simplification I might make is just tell them to find their card in either deck and then put a random card from the other deck in it, and shuffle. It worked really well and had great reactions.

  • @Davidgordano

    @Davidgordano

    Жыл бұрын

    i like this. also? a pack of cards is 52 plus 2 Jokers is 54 so ask the spectator to split a full deck and choose which 27?

  • @onegamingmoose
    @onegamingmoose9 жыл бұрын

    Why don't you set up a shop where you can by the special brown paper?

  • @karrieadler2808

    @karrieadler2808

    8 жыл бұрын

    thegamingmoose 10/10 would buy

  • @TexMex421

    @TexMex421

    8 жыл бұрын

    +thegamingmoose You can buy craft paper at any office or art supply store.

  • @SparksThePhysicist

    @SparksThePhysicist

    8 жыл бұрын

    +TexMex not the same

  • @balayanr

    @balayanr

    8 жыл бұрын

    +thegamingmoose He used to sell it on ebay, haven't posted them in a while though

  • @CatnamedMittens

    @CatnamedMittens

    8 жыл бұрын

    +Robert Balayan Gotta raise demand.

  • @MicrocosmicExperience
    @MicrocosmicExperience8 жыл бұрын

    When he said he was memorizing each pile's content every time. I was thinking, 'Wow, that seems like a simple card trick everyone can do."

  • @MrDonsullivan

    @MrDonsullivan

    4 жыл бұрын

    Microcosmic Experience I was thinking how hard that would be

  • @whatarewedoing0
    @whatarewedoing07 жыл бұрын

    those slow motion rewinds are hilarious

  • @AnaIvanovic4ever
    @AnaIvanovic4ever Жыл бұрын

    I did this trick for friends and family this Christmas, was a success! My favourite part of the video is Matt's smirk at the end when he says "not many audiences will sit through the 10 billion version a second time", made me laugh.

  • @micronalpha
    @micronalpha5 жыл бұрын

    Great math! But it is also possible to use base 2 and 36 cards, base 3 and 27 cards, base 4 and 16 cards, base 5 and 25 cards, base 6 and 36 cards, base 7 and 49 cards (my favourite!). A great video by Matt! :)

  • @CaelenSawyers
    @CaelenSawyers8 жыл бұрын

    As soon as you said "27 cards" I knew the trick...considering it's the only card trick I've known for years and show it off all the time. Nice seeing it get some recognition.

  • @johnnyots16
    @johnnyots1610 жыл бұрын

    This trick is fun. I assisted my intuition by trying this with only A-9 for three suits and starting with them sorted. It's cool to see the symmetry, where you apparently shuffle the suits around the first couple deals and then end up with three piles of sorted suits in the last deal. Also, you can get a simplified version of this trick using four cards and doing a base 2 calculation. It's easy to get 1 of the 4 cards anywhere you want it in the pile with only 2 deals.

  • @Sylocat
    @Sylocat8 жыл бұрын

    I've thought of a variant. You have to be able to compute numbers in multiple bases though. Ask the volunteer to pick any number between, say, 10 and 52, that isn't prime (call this number X). Then ask them to pick any divisor of X (call this number Y). Then ask them to pick their favorite number between 1 and X (call this number Z). Then do this trick with X cards sorted into Y piles each time, with the card ending up in position Z.

  • @HungAF

    @HungAF

    8 жыл бұрын

    Stfu

  • @Sylocat

    @Sylocat

    8 жыл бұрын

    Mr. Sheeb ...?

  • @westronic

    @westronic

    7 жыл бұрын

    +Rabbit Cube That's genius! In practice, of course, your volunteer would need to know what prime numbers are and how to pick a divisor of their chosen composite number =)

  • @anysha1083

    @anysha1083

    5 жыл бұрын

    So do we do this with the entire deck? And where in the pack do we put the initially chosen card ?

  • @momowhang

    @momowhang

    7 күн бұрын

    Say the number of card is A*B*C*D*... . In video A=B=C=3 but it works for any other values. You want to place the card at position N (starting at 0th). Deal the cards first time in A piles. You perform division N = A *Q0 + R0, set designated pile in position R0 in the deck, keep Q0 in mind. Deal the cards a second time in B piles. You perform division Q0 = B *Q1 + R1, set designated pile in position R1, keep Q1 in mind. Continue this algorithm until you consume all factors.

  • @DyingToLive310
    @DyingToLive31010 жыл бұрын

    I learned a really cool card trick in math class. It's easy to do, no magic or math required. How it works? I have no idea but I know how to do it. So take a deck of cards and have someone pick out 3 cards, make sure they remember so have them write it down or ask 3 people to pick one card each. Have them hold their 3 cards while you shuffle the deck. Then you're going to make 3 piles of cards. The first pile you put 10 cards down then to the right of that pile put 15 cards down then the third pile next to that will be 15 again. So you have 10-15-15 they are holding 3 cards and that leaves you with a pile of 9 cards, put those 9 cards off to the side. Try not to count out loud while making these piles. Just for easy reference 1st=10 left / 2nd = middle 15 / 3rd = right 15 Have them put down 1 of their cards on the 1st pile (10) then tell them to cut the 2nd pile (15) *ANYWAY* they want. They could take one card and put it on top of the 1st pile, they can take all but one card. Even or odd number of cards they cut it doesn't matter. Then have them put the second card on the 2nd pile ( the one they just cut) and tell them to cut the 3rd pile (15) again anyway they want and put it on top of 2nd pile. That leaves us with the 3rd pile where the third card will go, now take that extra 9 cards and put that on top the third pile so now all the cards are in 3 piles. Pick them up from right to left! 3rd pile on top of 2nd pile and those piles on top of 1st pile. Meaning the 3rd pile is on top 1st is on bottom. *Our deck is almost ready but this is important, take the first 4 cards off the top of the deck and put them on the bottom* Now here's where the magic... or math happens. Tell them you're going to make two piles one pile face up and the other face down. Tell them to say stop if they see their card. So go through the whole deck starting with face up! So face up, face down, face up, face down. When you get through the first time you're going to take the pile of face up cards and put them off to the side. Now take the cards you put face down and do it again. Face up, face down, face up, face down all through the deck. Keep doing this over and over, you'll eventually be left with only 3 cards. Flip those 3 cards up and abracadabra you will have their 3 cards. And it will always be the cards they choose. However if you start with face down it won't work, forget to take 4 cards off the top before flipping it won't work or if you mix up the piles or a card gets out of place it won't work so keep the piles neat and tidy.

  • @DTcharlles

    @DTcharlles

    6 жыл бұрын

    Hey man, I know it's been a long time, but can you give me a reply if you still use this account?

  • @goutampatidar03

    @goutampatidar03

    6 жыл бұрын

    How much time did it take to write such a huge message? 1 hour,I guess...

  • @AnonYmous-xs8nx

    @AnonYmous-xs8nx

    6 жыл бұрын

    Important to note: for this to work, TAKE OUT THE JOKERS FIRST

  • @AA-100

    @AA-100

    6 жыл бұрын

    By doing this the 3 card positions in the deck are always in the positions (from top) 6,22,38. These are the only 3 positions where the method will work. This can also be done with the first pile having 14 cards instead of 10 so you dont have to take 4 cards from the top to the bottom.

  • @DaveMartinCanuck
    @DaveMartinCanuck8 жыл бұрын

    love this one, I show it to my students when I can. My Dad taught me this when I was a kid

  • @joshuaolian1245
    @joshuaolian12452 жыл бұрын

    “do you want to know how it works?” “yes plea-“ “THIS, this is brilliant” 😂

  • @1959Edsel
    @1959Edsel11 жыл бұрын

    There are two variations of this that I've used at work. One is to use a variation of the method from James' "Brown criterion" number selection video to get the person's number and then do the trick. The other is to use the first letter of the person's first name and use A=1, B=2 etc. to choose where the card goes, since 26 letters work well with 27 cards. When you're dealing off dummy cards at the end use letters instead of numbers, e.g. "A, B, C, D ... Q, R, S, T for Tony" and show the card.

  • @draheim90
    @draheim908 жыл бұрын

    I don't think this takes a lot of math skill, if I am doing it correctly. Whatever number they say, subtract 1. So let's say the number is 17. How many times does 9 go into 16? 1 with 7 leftover So with that 7 remainder we ask, how many times does 3 go into 7? 2 with 1 leftover With that 1 remainder, we ask how many times does 1 go into 1? 1 So this gives us 1, 2, 1 In reverse order where 0 = top, 1 = middle, and 2 = bottom, we get middle, bottom, middle, and the card the person selected will be the 17th card in the deck.

  • @irgyn

    @irgyn

    8 жыл бұрын

    +Christopher Draheim so basically, what you're doing is converting the number-1 into ternary, just like you're supposed to ^^ just in a different way than most would

  • @babyninjajesus2669

    @babyninjajesus2669

    8 жыл бұрын

    but if they pick 27 27/9 = 3 so the universe implodes

  • @draheim90

    @draheim90

    8 жыл бұрын

    Nah you have to subtract 1 from their number.

  • @ilexdiapason

    @ilexdiapason

    7 жыл бұрын

    Knox you minus 1...

  • @VEGETADTX

    @VEGETADTX

    6 жыл бұрын

    Yeah, I was thinking the same thing, seems pretty simple to me. I don't see why would someone need to be deep in math to do this. Exactly as you explained and as shown in this video.

  • @soapman6652
    @soapman66528 жыл бұрын

    My brain is now fried noodles.

  • @justroling159

    @justroling159

    8 жыл бұрын

    Delicious

  • @imagecaster
    @imagecaster9 жыл бұрын

    always love watching and listening to Matt Parker's vids... makes them interesting

  • @Raul-ef6ct
    @Raul-ef6ct2 ай бұрын

    My father first showed me this trick and I was so EXCITED to show it to my friends! ❤❤

  • @harkelin
    @harkelin10 жыл бұрын

    That slowmotion...

  • @SLYKM
    @SLYKM10 жыл бұрын

    This is the only card trick that I could understand and successfully execute! Now it is time to show it off! XD

  • @ronyandraos4666

    @ronyandraos4666

    3 жыл бұрын

    This is the only one I can't explain😅

  • @ronyandraos4666

    @ronyandraos4666

    3 жыл бұрын

    Cqn u explain it to me

  • @knocknockify
    @knocknockify8 жыл бұрын

    A few summers ago, my cousins and I learned some card tricks and taught them to each other. I had learned this trick by watching this video. It's been so long now, I've forgotten how to do this trick, but watching this video again brought some great/fun memories

  • @mrjules2008
    @mrjules20086 жыл бұрын

    I've never liked magic or particularly card tricks but I loved this trick and have taught myself to do it. Best KZread video ever thanks so much. Can't wait till Christmas.

  • @iulianmuresanu
    @iulianmuresanu10 жыл бұрын

    Who dislikes these videos? What were you expecting a channel called Numberfile to contain? A fetish for numbers with holes in them?

  • @LukaszVT40k

    @LukaszVT40k

    6 жыл бұрын

    A number with holes in... sounds... *naught*y. I'll get my coat.

  • @OneEyedJack01

    @OneEyedJack01

    6 жыл бұрын

    I disliked it because this is a very old and simple card trick. I understood how to do this and why it worked when I was 8 or 9. I expect something next level from this channel.

  • @NomadUniverse

    @NomadUniverse

    6 жыл бұрын

    I dunno...those 6s and 9s...

  • @VelvetRolo

    @VelvetRolo

    6 жыл бұрын

    Maybe they don't like his sideburns.

  • @VelvetRolo

    @VelvetRolo

    6 жыл бұрын

    On the other hand... maybe they're just critiquing the video... I didn't find his explanation all that coherent.

  • @sonjaquan5775
    @sonjaquan57759 жыл бұрын

    i just adapted this to a Tarot deck using 64 of the 78 cards (4 stacks of 16). it impresses everyone who sees it.

  • @Tigrou7777

    @Tigrou7777

    7 жыл бұрын

    You are wrong. The number of piles does not need to be equal to the number of steps (when you ask spectactor to tell in which pile the card is). In this case, we have 4 piles of cards and 3 steps. This give 4^3 = 64 cards. Each pile has 64/4 = 16 cards.

  • @GUSTAVOPINGPONG

    @GUSTAVOPINGPONG

    5 жыл бұрын

    Tigrou7777 can this trick be done base 2?

  • @AndyMossMetta

    @AndyMossMetta

    5 жыл бұрын

    Try eight piles of eight and use base 8. Then only two steps! 64 tarot cards required. Or add three extra cards to a full tarot deck for 81 cards and use base 9.

  • @eduardoxenofonte4004

    @eduardoxenofonte4004

    2 жыл бұрын

    just like the standard deck comes short of 54, the tarot deck comes short of 81 lol

  • @amyspeakman5357
    @amyspeakman53576 жыл бұрын

    Fabulous for my puzzle club, great intro into binary and working in different bases too. Thank you.

  • @ragdollLv
    @ragdollLv11 жыл бұрын

    Very nice trick. I tried different variations with different numeral system bases and amount of cards, and trick still works. Number of piles determines the numeral system base and number of times to choose pile with the right card determines cards required. So we can even make this trick making two piles, and asking to show the pile with the chosen card, say four times. Then we would need (number of piles)^(times to show pile)=2^4=16 cards.

  • @andrewtran6915
    @andrewtran691510 жыл бұрын

    Famous brown paper :D

  • @redburoc
    @redburoc10 жыл бұрын

    i wanna learn the trick at 0:04 ...

  • @adamjnotthecongressmanschi7026

    @adamjnotthecongressmanschi7026

    6 жыл бұрын

    as a magician, I can only tell you where to learn it, go to 52kards riffle shuffle tutorial and he teaches the basics. just hold it in your hands.

  • @reshpeck

    @reshpeck

    5 жыл бұрын

    It's not difficult, I learned as a kid. I also learned the one handed cut from Data on Star Trek

  • @lsd25records
    @lsd25records11 жыл бұрын

    one of the best non-music channels on yt .. love my math and science..i only knew 1 card trick and it happens to be a variation of this trick so now i know why it works

  • @utkrishtsinha1084
    @utkrishtsinha10849 жыл бұрын

    Imagine dealing a ten million card into 10 piles and that too 10 times and arranging them after each deal.

  • @RedGallardo
    @RedGallardo10 жыл бұрын

    Makes me feel stupid, lack brain power to keep the sequence in my mind to do this trick =( Not the first time, at least

  • @tamatotodile
    @tamatotodile9 жыл бұрын

    a trick using math.. Teachers at school should use this demonstration as an orientation to a new chapter or something

  • @darkspeed62
    @darkspeed623 жыл бұрын

    This was fascinating to watch, and did make sense. Thank you!

  • @legochickenguy4938
    @legochickenguy49386 жыл бұрын

    You can also add the digits together and what group of three the sum is in determines the position, so 1 2 and 3 are the top 3, 4 5 and 6 are the middle 3, and 7 8 and 9 are the bottom 3. Then you find the final position by which group of nine the chosen number itself is in: 1-9, 10-18, or 19-27. For instance, if 25 the chosen number, 2+5 is 7, and 7 is the top number of the bottom 3, and 25 is in the bottom 9, so in the order is top bottom bottom

  • @setzkemc
    @setzkemc9 жыл бұрын

    Those smirks! Good stuff.

  • @TheAcenightcreeper
    @TheAcenightcreeper8 жыл бұрын

    Go to walmart folks and go to the mail packing section and you can buy the brown paper in bulk

  • @zahidshabir4038

    @zahidshabir4038

    8 жыл бұрын

    +TheAcenightcreeper I dont think anyone even cares

  • @AB-om2qp

    @AB-om2qp

    8 жыл бұрын

    +jeffrey2014 I'm in England; no Walmart there is ASDA which is part of the Walmart family

  • @ItohKuni
    @ItohKuni8 жыл бұрын

    Love this trick :) Thank you for sharing!!

  • @ueva97
    @ueva9711 жыл бұрын

    This guy is epic; saw him at the Maths inspiration event at Cambridge University. Utterly amazing.

  • @Wipez
    @Wipez8 жыл бұрын

    I understand completely but the video was a little long and hard to follow. 10:50 is all you need to understand, whatever number they choose (20), you take 1 away, (19) and work out how you can make 19 out of multiplication of 1, 3, and 9 using 0, 1, and 2. (0 = top 1 = middle 2 = bottom) You must mentally work it out and follow the order so that the 20th card from the top is their card. 20-1= 19 *1x1(middle) + 3x0(top) + 9x2(bottom)* = middle-top-bottom order to get 20th card from top as their card.

  • @elliotmoore1867
    @elliotmoore18679 жыл бұрын

    pretty cool... BUT I was confused because he makes a mistake in his explanation....7:47 "when you give me your number I work it out in base 3"... actually, you would work out the person's number minus 1, in base 3... then it works.

  • @HelicopterShark

    @HelicopterShark

    6 жыл бұрын

    He corrects himself by saying it's how many cards you want to put on top to make the card the n'th card

  • @UnknownRager96

    @UnknownRager96

    6 жыл бұрын

    Just like there is no 10 in base 10, there is no 3 in base 3

  • @Kradrling
    @Kradrling9 жыл бұрын

    Shared this trick with my 8 year old brother and taught him about trinary with it. This is great!

  • @benjijustice739
    @benjijustice7399 жыл бұрын

    This is a great trick! It also helped me really understand number systems other than base 10!

  • @vcguerrilla6438
    @vcguerrilla64386 жыл бұрын

    Thanks Matt. Your video helped me get a gf

  • @foleyhuck2344

    @foleyhuck2344

    4 жыл бұрын

    Matt is the real King of Hearts

  • @augustoluis6888

    @augustoluis6888

    4 жыл бұрын

    @@foleyhuck2344 Now THAT was fantastic on so many levels! Well done, sir.

  • @kaisarsihaloho975

    @kaisarsihaloho975

    4 жыл бұрын

    @@foleyhuck2344 Maybe the letter "f" and "h" at your name has switch places...

  • @shreddaily101
    @shreddaily10110 жыл бұрын

    When he spoke at 7:47 he should have said "when you give me your number I subtract one and then I work out that number in base three." If a given number is 7 the base three code for the trick to work is 020 or six not 021. right?

  • @jayrodriguez1384

    @jayrodriguez1384

    4 жыл бұрын

    It took me a few watchings and a lot of deals before this clicked. I should have read the comments first.

  • @AndreyPutilov

    @AndreyPutilov

    4 жыл бұрын

    Right

  • @martynsmith5794

    @martynsmith5794

    4 жыл бұрын

    Correct

  • @danturney5904
    @danturney59046 жыл бұрын

    Great trick - thanks! (5 years later) Tried this on two people - both impressed, but both said they knew it involved what order the card piles were picked up but couldn’t see a pattern. I would add one more twist (maybe it’s been offered in the comments already): Make a mental note of the remainder when you divide their number by 9 (if it’s 0 then make it 9 instead). This will be the “triplet” where their card appears when you lay them down the third time. Let’s say they choose 16 (so the remainder is 7). When you lay down the 7th triplet (i.e., the 19th, 20th, and 21st cards) on the third pass try to memorize those three. Then when they point to the pile it’s in you’ll know which of those was their card. Then as you count out the cards up to their chosen number just pause before turning it and ask “was it the 5 of hearts?” and then turn it over.

  • @jakobhill4667

    @jakobhill4667

    6 жыл бұрын

    Dan Turney If you show that you know what their card is at the end they might think you have memorized it and it would seem less magical

  • @danturney5904

    @danturney5904

    6 жыл бұрын

    @jakob hill I think you may be right but I don't know why. The last time I tried this on someone I told them what their card was before turning it over and then revealing it seemed anticlimactic - it shouldn't though. I'm a lousy showman.

  • @larsbjrn2865
    @larsbjrn28655 жыл бұрын

    Thanks for the video its really amazing

  • @ellier2d2
    @ellier2d26 жыл бұрын

    pause at 11:55

  • @emperordarthjarjarsnoke7596

    @emperordarthjarjarsnoke7596

    5 жыл бұрын

    Bless you.

  • @diogo8500
    @diogo850010 жыл бұрын

    Very cool trick. What if someone picked the number 27?

  • @jayrodriguez1384

    @jayrodriguez1384

    4 жыл бұрын

    Bottom, bottom, bottom.

  • @AizenMyo294
    @AizenMyo2945 жыл бұрын

    I love that you can do this trick with pretty much any number. As long it a multiplication of any other numbers it's is possible to do this one. My favourite is probably doing it with 25 cards, many are confused because I have to do the ordering only twice, whileas they kinda understand the 27 card trick. It's also fun to do it with 24 cards, but I haven't fully grasped that one yet, but it works ;)

  • @rickintexas1584
    @rickintexas15846 жыл бұрын

    This is a brilliant enhancement to the famous 21 card trick. I have always been intrigued as to why the 21 card trick worked. Your insight was very helpful.

  • @GhastEdits

    @GhastEdits

    Жыл бұрын

    could you please explain me 21 card trick mathematically ??

  • @halberdier1795
    @halberdier17957 жыл бұрын

    My favorite number is 17 because it is a prime number that is made up of the first 4 prime numbers added together (2 + 3 + 5 + 7) Actually it used to be my house number before 911 changed it.

  • @doone8849

    @doone8849

    6 жыл бұрын

    what do you mean 911 changed your house number??

  • @CivilWarrior123

    @CivilWarrior123

    6 жыл бұрын

    Halberdier17 1+2+3+5 is 11

  • @doone8849

    @doone8849

    6 жыл бұрын

    1 is not prime

  • @AA-100

    @AA-100

    6 жыл бұрын

    doone By saying "911 changed the house number" means they had to move house because of an emergency. E.g. house on fire

  • @halberdier1795

    @halberdier1795

    5 жыл бұрын

    doone 911 found it confusing because I lived in a neighborhood that didn't really have any street names. It was just the name of the neighborhood. 911 found that confusing so they changed everyone in that neighborhood's address by changing the house number and adding a street name.

  • @praspurgh
    @praspurgh8 жыл бұрын

    my brain hurts...

  • @bryanbell-smith9480
    @bryanbell-smith948010 жыл бұрын

    I loved that video. I've known about the 21 card trick (and even worked it out once) but this one is much more elegant. I have to admit, I was unable to solve a rubik's cube for years until I cheated and looked up a guide for the steps to move a particular square. I'm sure there is a mathematical reason for this (probably involving base 3) and would love to see a video about it. I imagine it's much the same for people who solve rubik's cubes very quickly; they have memorized the steps, rather than understanding the process to solve it.

  • @makytondr8607
    @makytondr86078 жыл бұрын

    This is the best card trick ever!! I am going to try it whenever I have the chance, wow!

  • @sankeethganeswaran3024
    @sankeethganeswaran30249 жыл бұрын

    Put the speed at 0.5 at the start it seems like he is on drugs

  • @ufotofu9

    @ufotofu9

    8 жыл бұрын

    +Sankeeth Persn (PurpleRox) Oh anybody at 0.5 sounds like they are extremely drunk.

  • @joshkindler3722

    @joshkindler3722

    7 жыл бұрын

    BAHAHAHHAHAA

  • @OrangeC7

    @OrangeC7

    6 жыл бұрын

    I CAN'T STOP LAUGHING ROFL

  • @limbridk

    @limbridk

    6 жыл бұрын

    That's hilarious!

  • @edwardchen4733

    @edwardchen4733

    6 жыл бұрын

    ikr

  • @bobdob13
    @bobdob1310 жыл бұрын

    with that face at 0:00 , I thought you were gonna start chatting me up with numbers or something :|

  • @hjkcai
    @hjkcai11 жыл бұрын

    Amazing! This trick is really useful and wonderful. Thanks to Numberphile.

  • @williamreeves2699
    @williamreeves269910 жыл бұрын

    i watched it did, the trick in my head and found where i was confused... then watched again, understanding most of it, and he answered my specific problems with understanding the trick properly... a tip for people finding it hard to get a grip on the "special number" aspect

  • @LarlemMagic
    @LarlemMagic9 жыл бұрын

    You can do this with 7 piles with 2 runs with 49 cards, just three off the top.

  • @whites772
    @whites7728 жыл бұрын

    the dislikes were given by the people who are totally paralell with math

  • @pkphd
    @pkphd5 жыл бұрын

    We also played this card trick, but we didn't choose any particular number of cards like 27 in this case. We just selected some odd number of cards and same procedure was followed as you explained in this video with one exception. That is, every time we were keeping that pile of card in the middle of other two pile of cards. And finally at the end, guessed card exactly falls middle of the total number of cards.

  • @TheTot
    @TheTot11 жыл бұрын

    This comment, along with the graph at the end made it super easy for me to memorize how to do this trick, cheers!

  • @Captain_Rhodes
    @Captain_Rhodes10 жыл бұрын

    this is very clever but the way I finish it is by making the 'victim' choose their own card from a big pile. there is a way to make them think they have have chosen randomly. you put all the cards down and ask them to choose a section. depending on which section they choose you either give it to them or take it away to make sure they end up with their card. everyone falls for it and it makes people realy baffled. this version is much harder

  • @MrKrazykraut

    @MrKrazykraut

    10 жыл бұрын

    I know that way too

  • @migerz1

    @migerz1

    8 жыл бұрын

    +Captain Rhodes i dont know a single person who ever fell for that.

  • @Captain_Rhodes

    @Captain_Rhodes

    8 жыл бұрын

    Michael G. its all in the delivery. keep it fast and dynamic and it works all the time

  • @migerz1

    @migerz1

    8 жыл бұрын

    Captain Rhodes no like seriously, thats like the most obvious trick ever. i know how to deliver a trick and sometimes even cover up major mistakes, but that? thats impossible, either for me or someone on the tv or whatever.

  • @frostermos
    @frostermos7 жыл бұрын

    is it TheNumber27?

  • @alexcole2443

    @alexcole2443

    7 жыл бұрын

    Yes

  • @shaiofthehighlands5792
    @shaiofthehighlands57925 жыл бұрын

    I was literally in awe for this was exactly the card trick we used to play when we were in elementary...can't even remember who taught us this trick lol..glad i stumbled upon it again for i totally forgot how to do it again haha

  • @Ghostmorph42
    @Ghostmorph4211 жыл бұрын

    I love watching someone talk about maths and they actually passionate about it.. unlike my maths teacher. Good video :)

  • @Addis2123
    @Addis21237 жыл бұрын

    if i only had a deck of 256 cards

  • @SniperMonkeh

    @SniperMonkeh

    7 жыл бұрын

    If only I had a deck of Graham cards.

  • @Addis2123

    @Addis2123

    7 жыл бұрын

    I should have listened to my English teachers.

  • @jefflin5001

    @jefflin5001

    7 жыл бұрын

    Dylan Addis Yea, well you can use personal cards with 1-64 and 4 colors.

  • @bassisku
    @bassisku9 жыл бұрын

    +Diogo Duarte If someone picked the number 27, you just always put the stack bottom.

  • @wolfenn1989

    @wolfenn1989

    9 жыл бұрын

    bassisku Thanks! I realised that it was the number of cards you want on top of the chosen one and not the exact spot!

  • @megadarkmaster4000
    @megadarkmaster40009 жыл бұрын

    I loved it! i tried to understand it some years ago, but i couldn't. Now I finally did it :') thank you very much :D

  • @golux-57
    @golux-576 жыл бұрын

    Great trick! I'll look forward to trying this with friends.

  • @saravus99
    @saravus994 жыл бұрын

    Nah I wanna make someone go “woah” not study math

  • @hannah-xn1uu
    @hannah-xn1uu7 жыл бұрын

    are you suppose to subtract 1 before doing the math because that's the only way i can make it work

  • @Kingobstgarten1999

    @Kingobstgarten1999

    7 жыл бұрын

    Rubadubscrub substract 1 from what?

  • @darryllai7492

    @darryllai7492

    7 жыл бұрын

    ie. yes is what the guy on top is saying

  • @arung8381

    @arung8381

    4 жыл бұрын

    That's true or else you could throw x number of cards and show the x+1 the card

  • @BlackFlooz
    @BlackFlooz11 жыл бұрын

    Thank you so much for that great trick !!!

  • @palid11
    @palid113 жыл бұрын

    One does not have to work out the base 3 representation upfront. I find it easier to just work out the remainder of the current order of magnitude as I go. Example: position 13 -> 12 cards on top first draw: 12 mod 3 = 0 -> top, 12 div 3 = 4 second draw: 4 mod 3 = 1 -> middle, 4 div 3 = 1 third draw: 1 mod 3 = 1 -> middle, done

  • @6XJOKERX
    @6XJOKERX8 жыл бұрын

    Can you do this with other bases?

  • @mitchelletzkin1321

    @mitchelletzkin1321

    8 жыл бұрын

    +6XJOKERX I tried with base 2 but didn't have any luck :-/

  • @Octanis0

    @Octanis0

    8 жыл бұрын

    +Mitch Etzkin It should work. If you try base 2, you should have a number of cards that are 2^n, split them into 2 piles, n number of times. How you order the two piles every time would be like in the video, but in binary instead.

  • @mitchelletzkin1321

    @mitchelletzkin1321

    8 жыл бұрын

    +Victor Neo Okay let's assume that a player chooses a card (C) and puts it into the 3rd spot in the fan so that the list from top to bottom of deck is (LQCP). And let's say I want the Card "C" to be in the 4th spot at the end. 4-1 = 3 which in binary is 11, or in this trick every time I pick up the decks of cards, I put the deck that has my card in it on the bottom. So now we lay out the cards Imagining them being in piles with the top card in the column being on top of the pile and deal left to right: CP So now my card is in first Column (Pile 1) so when I pick up my cards I put that in the bottom so the 4 cards picked up will be (PQCL). Now I lay them out again to get: CL LQ PQ Picking these up again will give us (LQCP), and card C is STILL in the 3rd spot, not the fourth spot. So when you did this it worked for you? Or I went wrong somewhere?

  • @Diplipito

    @Diplipito

    6 жыл бұрын

    You can do it in base 2 with 16 cards. 2 piles and 4 repeats. Same instructions

  • @Diplipito

    @Diplipito

    6 жыл бұрын

    Mitch Etzkin you have LQCP, magic number is 4 and binary code is 11. 1) Lay out LC, QP Pick up with C at the bottom: QPLC 2) Lay out QL, PC Pick up, C at the bottom: QPLC So C is the 4th card

  • @GoudaFetaExpandDong
    @GoudaFetaExpandDong7 жыл бұрын

    Dude, I love how clever British people sound, reminds me of god damn doctor who.

  • @TheFlexXMLG
    @TheFlexXMLG6 жыл бұрын

    This is truly amazing.

  • @mikkelbachmortensen9795
    @mikkelbachmortensen979511 жыл бұрын

    Thank you for this! Never figured why the one with 21 cards worked, but really got the big ol' AHA! moment from this video. Cheers.

  • @mikeya2384
    @mikeya23849 жыл бұрын

    What if someones favorite number is 1 or 2?

  • @printffff

    @printffff

    9 жыл бұрын

    ***** Isn't it top top middle for case of 2?

  • @GioGziro95

    @GioGziro95

    9 жыл бұрын

    Howie Au No, it's middle, top, top.

  • @mitchelletzkin1321

    @mitchelletzkin1321

    8 жыл бұрын

    +Mike Y This works either way since we can make "0" and "1" in Ternary (The way to start the trick is to take the "favorite" number and subtract one from it.) In Ternary "0" is 000 and "1" is 001, these two in deck order would be Top Top Top and Middle Top Top respectively.

  • @chrismartinez8729
    @chrismartinez87298 жыл бұрын

    I dont get it

  • @mitchelletzkin1321

    @mitchelletzkin1321

    8 жыл бұрын

    +Chris Martinez Do you know how to count in ternary?

  • @TheGadock

    @TheGadock

    8 жыл бұрын

    +Gadock the Kitten Also the numbers are 0, 1, and 2, because if you want to calculate different numbers you've got 1*x+3*x+9*x. Let's say number 9, meaning 8 on top --> 1x2+3x2+9x0=2+6+0=8 card is in the last 3, card is the last, card is the last in the first stack so 9th. Last one, number 19, 18 on top --> 1x0+3x0+9x2=18, top, top, bottom. (card is in the first 3, card is the first, card is first in the last stack, so 19th).

  • @jimmybc6577

    @jimmybc6577

    7 жыл бұрын

    think this video is better if u dont focus on the number and make a tutorial like any other magic channel

  • @JorgetePanete

    @JorgetePanete

    6 жыл бұрын

    Chris Martinez don't*

  • @RogerNeyman

    @RogerNeyman

    5 жыл бұрын

    Chris - I'm going to type two columns of numbers, normal (decimal) and ternary, side by side to show you how they progress: dec ternary (or trinary) 0 0 1 1` 2 2 3 10 4 11 5 12 6 20 7 21 ... 16 121 (= 1*9 + 2*3 + 1*1) ... 25 221 26 222 So, looking at the example above, 16 = 1*10 + 6* 1 and the trinary follows a similar pattern using powers of 3 instead of 10 I hope this explanation helps you understand the video more fully. Hang in there, it's worth it.

  • @1002l
    @1002l5 жыл бұрын

    loved this

  • @waldheinz
    @waldheinz9 жыл бұрын

    This is actually a generalization of a trick I learned as a child. We always opted for the magic "7". Thanks!

  • @naimulhaq9626
    @naimulhaq962610 жыл бұрын

    Why is base 10 so special? we find it easy to think in base 10. Nature follows Fibonacci sequence and the golden ratio, both in base 10, why? You have just shown the magic of base 3 !. Thank you.

  • @Threedog1963

    @Threedog1963

    6 жыл бұрын

    Because we are taught base 10 in every thing we do from the time we are able to understand math. Other base numbers are valid, but not easy to use for most people since they are not standard.

  • @paydayzcool4403

    @paydayzcool4403

    6 жыл бұрын

    Unless from young they are taught numeracy through a different base, eg: 12.

  • @CrabbyDarth

    @CrabbyDarth

    6 жыл бұрын

    the golden ratio and the fibonacci sequence would still be the same in any other base

  • @mismag822
    @mismag82211 жыл бұрын

    Wrng! I thnk mst ppl do

  • @niklasgraf6370
    @niklasgraf63707 жыл бұрын

    Got myself a deck of cards and tried that out. Only needed to watch the video like 3 times. I am proud now. :3 And thanks for the trick!

  • @cnelsonlv999
    @cnelsonlv9994 жыл бұрын

    I do this trick all the time... probably my second favorite, but I set it up in a slightly different way. Best thing is that it doesn't involve slight of hand, or setting the deck beforehand, or marked cards. Straight up math, but complicated enough that people are baffled when you do it.

  • @EugenSorin
    @EugenSorin11 жыл бұрын

    Wonderful generalization! I like very much.

  • @deepanjanmudi2678
    @deepanjanmudi26782 жыл бұрын

    This mathematical calculation went over my head but this calculation is damn deep

  • @_matis_
    @_matis_11 жыл бұрын

    I am watching your channel and i suck at numbers (remebering,calculating...)!Thanks for showing us and thanks for explaining

  • @wayneneva1
    @wayneneva110 жыл бұрын

    I remember learning this trick. I figured the card is always being shuffled to the middle (with the way I did it). Interesting to see this explaination. I enjoyed the video.

  • @JaihindhReddy
    @JaihindhReddy11 жыл бұрын

    I love the excitement on his face!

  • @d.-_-.b
    @d.-_-.b10 жыл бұрын

    I kept being off by one doing this by just thinking of the base 3 version of the numbers from 1 to 27, until I realised you can't use the exact base 3 number because base 3 for the number 27 is 1000, not 222. So if you do it this way you need to either tell them to choose a number between 0 and 26, or reduce their 1-27 choice by 1 in your head when you're converting the number to base 3 in your head.

  • @oliwa09
    @oliwa097 жыл бұрын

    This is one of my favorite card tricks to do because I'm not that great with sleight of hand or other 'magic trickery' that requires more physical skill, and there is no prep. Most of the other card tricks that use less skill involve some sort of deck setup/manipulation ahead of time. But the best thing about this is that you add that extra bit of aww and wonder to the spectator because you can let them shuffle the cards, then you can actually get a 2nd spectator to pick their favorite number, and at the end of the trick, neither spectator will have any idea how you do it. It's different every time and even if someone watches you a few times and realizes you are picking the packs up in different orders each time, they still won't understand WHY that makes a difference, It's beautiful.

  • @sameerah3422
    @sameerah34226 жыл бұрын

    I presented this card trick to my class when I was 11 and I immediately became a permanent nerd. Thanks Numberphile 👍🏽

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