Beautiful Card Trick - Numberphile

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Numberphile

Numberphile

Күн бұрын

Пікірлер: 1 700
@mr.champion7304
@mr.champion7304 7 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 8 ай бұрын
loll yes!
@Shirgene
@Shirgene 9 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 8 жыл бұрын
IKR
@bartermens8219
@bartermens8219 7 жыл бұрын
He has 5 stars in my book.
@mathiasoleander2077
@mathiasoleander2077 7 жыл бұрын
Max Max m
@OrigamiPie
@OrigamiPie 9 жыл бұрын
Any coincidence this is the 27th video in the playlist of Matt Parker's Numberphile videos?
@rewrose2838
@rewrose2838 8 жыл бұрын
+OrigamiPie Keima Katsuragi is my fav.~
@matthewgough9533
@matthewgough9533 4 жыл бұрын
Sounds like a parker square conspiracy.
@Triantalex
@Triantalex Жыл бұрын
yes
@Biskwyy
@Biskwyy 7 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.
@DArtagnonW
@DArtagnonW 10 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 5 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 5 жыл бұрын
@s je you sound fun at parties
@GeodesicBruh
@GeodesicBruh 5 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 5 жыл бұрын
And in the USA, they sometimes confuse those with Thanksgiving Day when it falls on Nov27.
@gambler1650
@gambler1650 5 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?
@lloydbotway5930
@lloydbotway5930 6 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.
@onegamingmoose
@onegamingmoose 9 жыл бұрын
Why don't you set up a shop where you can by the special brown paper?
@karrieadler2808
@karrieadler2808 9 жыл бұрын
thegamingmoose 10/10 would buy
@TexMex421
@TexMex421 9 жыл бұрын
+thegamingmoose You can buy craft paper at any office or art supply store.
@SparksThePhysicist
@SparksThePhysicist 9 жыл бұрын
+TexMex not the same
@rerorerobert
@rerorerobert 9 жыл бұрын
+thegamingmoose He used to sell it on ebay, haven't posted them in a while though
@CatnamedMittens
@CatnamedMittens 9 жыл бұрын
+Robert Balayan Gotta raise demand.
@DaveMartinCanuck
@DaveMartinCanuck 8 жыл бұрын
love this one, I show it to my students when I can. My Dad taught me this when I was a kid
@MicrocosmicExperience
@MicrocosmicExperience 8 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
@Mikrobizeps
@Mikrobizeps 8 жыл бұрын
It's possible to do it blind folded! LIKE A BOSS!
@MDC.Design.Motion
@MDC.Design.Motion 8 жыл бұрын
brilliant idea!
@soumikroy6683
@soumikroy6683 7 жыл бұрын
wow.... best idea.!!! 👍👍
@MrDonsullivan
@MrDonsullivan 4 жыл бұрын
Yes it would
@CaelenSawyers
@CaelenSawyers 8 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.
@1959Edsel
@1959Edsel 11 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.
@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.
@Sylocat
@Sylocat 8 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 6 ай 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.
@joshuaolian1245
@joshuaolian1245 2 жыл бұрын
“do you want to know how it works?” “yes plea-“ “THIS, this is brilliant” 😂
@micronalpha
@micronalpha 5 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! :)
@imagecaster
@imagecaster 10 жыл бұрын
always love watching and listening to Matt Parker's vids... makes them interesting
@draheim90
@draheim90 8 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 7 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.
@knocknockify
@knocknockify 8 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
@whatarewedoing0
@whatarewedoing0 8 жыл бұрын
those slow motion rewinds are hilarious
@lsd25records
@lsd25records 12 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
@redburoc
@redburoc 10 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
@Ghostmorph42
@Ghostmorph42 11 жыл бұрын
I love watching someone talk about maths and they actually passionate about it.. unlike my maths teacher. Good video :)
@iulianmuresanu
@iulianmuresanu 10 жыл бұрын
Who dislikes these videos? What were you expecting a channel called Numberfile to contain? A fetish for numbers with holes in them?
@SquigglyBeasst
@SquigglyBeasst 7 жыл бұрын
A number with holes in... sounds... *naught*y. I'll get my coat.
@OneEyedJack01
@OneEyedJack01 7 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 7 жыл бұрын
I dunno...those 6s and 9s...
@VelvetRolo
@VelvetRolo 7 жыл бұрын
Maybe they don't like his sideburns.
@VelvetRolo
@VelvetRolo 7 жыл бұрын
On the other hand... maybe they're just critiquing the video... I didn't find his explanation all that coherent.
@ragdollLv
@ragdollLv 11 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.
@SLYKM
@SLYKM 10 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
@ueva97
@ueva97 12 жыл бұрын
This guy is epic; saw him at the Maths inspiration event at Cambridge University. Utterly amazing.
@soapman6652
@soapman6652 8 жыл бұрын
My brain is now fried noodles.
@justroling159
@justroling159 8 жыл бұрын
Delicious
@mrjules2008
@mrjules2008 7 жыл бұрын
I've never liked magic or particularly card tricks but I loved this trick and have taught myself to do it. Best KZbin video ever thanks so much. Can't wait till Christmas.
@sonjaquan5775
@sonjaquan5775 10 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 6 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
@Raul-ef6ct
@Raul-ef6ct 8 ай бұрын
My father first showed me this trick and I was so EXCITED to show it to my friends! ❤❤
@harkelin
@harkelin 10 жыл бұрын
That slowmotion...
@apasahoya1233
@apasahoya1233 3 ай бұрын
I was looking for this trick for JEARS! Thank you sooo much!🥳
@RedGallardo
@RedGallardo 10 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
@Kradrling
@Kradrling 9 жыл бұрын
Shared this trick with my 8 year old brother and taught him about trinary with it. This is great!
@tamatotodile
@tamatotodile 10 жыл бұрын
a trick using math.. Teachers at school should use this demonstration as an orientation to a new chapter or something
@rickintexas1584
@rickintexas1584 7 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 2 жыл бұрын
could you please explain me 21 card trick mathematically ??
@shreddaily101
@shreddaily101 11 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
@utkrishtsinha1084
@utkrishtsinha1084 10 жыл бұрын
Imagine dealing a ten million card into 10 piles and that too 10 times and arranging them after each deal.
@andrewtran6915
@andrewtran6915 10 жыл бұрын
Famous brown paper :D
@beanielala1996
@beanielala1996 11 жыл бұрын
I love this trick! I did it on my mum. At first she thought it was a stupid trick because I could just watch the cards that came up, but then she thought it was a really good trick at the end. I practiced on myself first. Thanks! It is a neat trick.
@Wipez
@Wipez 9 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.
@danturney5904
@danturney5904 7 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 7 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 7 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.
@elliotmoore1867
@elliotmoore1867 10 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 7 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
@TheTot
@TheTot 12 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!
@setzkemc
@setzkemc 10 жыл бұрын
Those smirks! Good stuff.
@amorphusensanity
@amorphusensanity 12 жыл бұрын
Matt. I learned a variation on this trick. I learned it simply putting the card in the middle. I realized I could choose top, bottom, middle using the simplified method they did. Here is where I digressed though. rather than trying to generalize to move the card to any position, I tried to manipulate 2 cards. I haven't been back to this trick in a while, but I am curious about the math of my attempted variation. It gets tricky because there is a small amount of probability of same card.
@vcguerrilla6438
@vcguerrilla6438 6 жыл бұрын
Thanks Matt. Your video helped me get a gf
@foleyhuck2344
@foleyhuck2344 5 жыл бұрын
Matt is the real King of Hearts
@augustoluis6888
@augustoluis6888 5 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...
@legochickenguy4938
@legochickenguy4938 6 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
@ellier2d2
@ellier2d2 7 жыл бұрын
pause at 11:55
@emperordarthjarjarsnoke7596
@emperordarthjarjarsnoke7596 5 жыл бұрын
Bless you.
@mikkelbachmortensen9795
@mikkelbachmortensen9795 11 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.
@diogo8500
@diogo8500 10 жыл бұрын
Very cool trick. What if someone picked the number 27?
@jayrodriguez1384
@jayrodriguez1384 4 жыл бұрын
Bottom, bottom, bottom.
@AizenMyo294
@AizenMyo294 6 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 ;)
@TheAcenightcreeper
@TheAcenightcreeper 8 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
@sameerah3422
@sameerah3422 7 жыл бұрын
I presented this card trick to my class when I was 11 and I immediately became a permanent nerd. Thanks Numberphile 👍🏽
@sankeethganeswaran3024
@sankeethganeswaran3024 10 жыл бұрын
Put the speed at 0.5 at the start it seems like he is on drugs
@ufotofu9
@ufotofu9 9 жыл бұрын
+Sankeeth Persn (PurpleRox) Oh anybody at 0.5 sounds like they are extremely drunk.
@joshkindler3722
@joshkindler3722 7 жыл бұрын
BAHAHAHHAHAA
@OrangeC7
@OrangeC7 7 жыл бұрын
I CAN'T STOP LAUGHING ROFL
@limbridk
@limbridk 7 жыл бұрын
That's hilarious!
@edwardchen4733
@edwardchen4733 7 жыл бұрын
ikr
@pkphd
@pkphd 5 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.
@frostermos
@frostermos 8 жыл бұрын
is it TheNumber27?
@alexcole2443
@alexcole2443 8 жыл бұрын
Yes
@waldheinz
@waldheinz 10 жыл бұрын
This is actually a generalization of a trick I learned as a child. We always opted for the magic "7". Thanks!
@LarlemMagic
@LarlemMagic 10 жыл бұрын
You can do this with 7 piles with 2 runs with 49 cards, just three off the top.
@williamreeves2699
@williamreeves2699 11 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
@halberdier1795
@halberdier1795 8 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 7 жыл бұрын
what do you mean 911 changed your house number??
@CivilWarrior123
@CivilWarrior123 7 жыл бұрын
Halberdier17 1+2+3+5 is 11
@doone8849
@doone8849 7 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 6 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.
@AbandonedMines11
@AbandonedMines11 2 жыл бұрын
Loved the detailed explanation as well as the addition of six more cards to the trick. However, if I can remember correctly, when this trick is done with 21 cards, the performer does not have to calculate where to put the packet of cards that contains the spectator’s card when reassembling the deck. I remember that the packet with the spectator’s card always goes in the middle, and you only have to do the dealing out three times in order for the spectator’s card to appear in the appropriate position to conclude the trick. It seems that with this version using 27 cards, the performer often has to to place the packet with the spectator’s card in different positions when reassembling the deck which the spectator might notice.
@hannah-xn1uu
@hannah-xn1uu 8 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 8 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
@bryanbell-smith9480
@bryanbell-smith9480 10 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.
@Captain_Rhodes
@Captain_Rhodes 10 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 9 жыл бұрын
+Captain Rhodes i dont know a single person who ever fell for that.
@Captain_Rhodes
@Captain_Rhodes 9 жыл бұрын
Michael G. its all in the delivery. keep it fast and dynamic and it works all the time
@migerz1
@migerz1 9 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.
@sourpunchfan74
@sourpunchfan74 11 жыл бұрын
It took me a couple of tries, but I really got it down, and my mother and sister were blown away!
@whites772
@whites772 9 жыл бұрын
the dislikes were given by the people who are totally paralell with math
@palid11
@palid11 4 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
@bobdob13
@bobdob13 10 жыл бұрын
with that face at 0:00 , I thought you were gonna start chatting me up with numbers or something :|
@vahaan7256
@vahaan7256 2 жыл бұрын
I know i'm.. 10 years late to the party, but I wanted to share one of my favorite card tricks as well, and it involves the 52 card deck. The only issue with this trick is that it requires learning a shuffle (if you look up the Faro Shuffle, you may see why), and it is a perfect 1:1 shuffle if you cut the deck perfectly in half. Essentially, I can have somebody pull a card, put it on top of the pile, and within at least 6 shuffles, you can use 1:1 shuffles to place their card anywhere within the deck by converting the number into binary and doing a sequence if in/out shuffles accordingly. What denotes an "in" shuffle, is where the top card is the one moving into the deck, and an "out" shuffle is keeping the top and bottom cards the same with this 1:1 shuffle. A 1 in binary calls for an in shuffle, and a 0 calls for an out shuffle. The Faro Shuffle is honestly one of the hardest shuffles to learn and takes a lot of practice to nail down, but it is a purely mathematical shuffling trick once you get the skills.
@bassisku
@bassisku 10 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!
@Crazyflowereater
@Crazyflowereater 11 жыл бұрын
This trick is very amazing. I can't wait to show it off more.
@praspurgh
@praspurgh 9 жыл бұрын
my brain hurts...
@oliwa09
@oliwa09 7 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.
@Addis2123
@Addis2123 8 жыл бұрын
if i only had a deck of 256 cards
@SniperMonkeh
@SniperMonkeh 8 жыл бұрын
If only I had a deck of Graham cards.
@Addis2123
@Addis2123 8 жыл бұрын
I should have listened to my English teachers.
@jefflin5001
@jefflin5001 8 жыл бұрын
Dylan Addis Yea, well you can use personal cards with 1-64 and 4 colors.
@KingGosh
@KingGosh 11 жыл бұрын
Got dayum! If I had a math teacher like this... I would have been a mathematician prodigy... Thanks for that Numberphile!
@saravus99
@saravus99 5 жыл бұрын
Nah I wanna make someone go “woah” not study math
@hjkcai
@hjkcai 12 жыл бұрын
Amazing! This trick is really useful and wonderful. Thanks to Numberphile.
@6XJOKERX
@6XJOKERX 9 жыл бұрын
Can you do this with other bases?
@mitchelletzkin1321
@mitchelletzkin1321 9 жыл бұрын
+6XJOKERX I tried with base 2 but didn't have any luck :-/
@Octanis0
@Octanis0 9 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 9 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 7 жыл бұрын
You can do it in base 2 with 16 cards. 2 piles and 4 repeats. Same instructions
@Diplipito
@Diplipito 7 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
@cnelsonlv999
@cnelsonlv999 5 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.
@naimulhaq9626
@naimulhaq9626 10 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 7 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.
@CrabbyDarth
@CrabbyDarth 6 жыл бұрын
the golden ratio and the fibonacci sequence would still be the same in any other base
@amyspeakman5357
@amyspeakman5357 7 жыл бұрын
Fabulous for my puzzle club, great intro into binary and working in different bases too. Thank you.
@chrismartinez8729
@chrismartinez8729 9 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 7 жыл бұрын
Chris Martinez don't*
@RogerNeyman
@RogerNeyman 6 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.
@darkspeed62
@darkspeed62 4 жыл бұрын
This was fascinating to watch, and did make sense. Thank you!
@mikeya2384
@mikeya2384 9 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.
@vinni40k
@vinni40k 12 жыл бұрын
it works for more combinations than just n = x^x, it works for every number of cards n = x^y with x being the number of stacks and y the number of sortings with p as the position of the card, work out p-1 in base x and place that value of decks on top of the deck they pointed out i've tried it with x=4, n=64 and x=3, n=81, works like a charm :) (only you'll have to work on a routine to mke sure the card they chose isn't in the deck twice :P )
@GoudaFetaExpandDong
@GoudaFetaExpandDong 7 жыл бұрын
Dude, I love how clever British people sound, reminds me of god damn doctor who.
@makytondr8607
@makytondr8607 8 жыл бұрын
This is the best card trick ever!! I am going to try it whenever I have the chance, wow!
@vidoardes
@vidoardes 12 жыл бұрын
It's also worth pointing out that this only works with a favorite number up to 26, because 26 in base 3 is 222 (or bottom, bottom, bottom). If you wanted to anythign above 26, you would need to deal 4 times (27 would be top, top, top , middle). If you could deal with the maths of base 3 to 4 places, you could deal with anyone's lucky number up to 80, if you were willing to deal and pick up 5 times (and do the conversion to base 3) you could have any number up to 242.
@slowill
@slowill 12 жыл бұрын
"theres a huge difference between memorizing the steps so you know how to do it, versus knowing why those steps get you where you want to be" 11:53 the reason i love good teachers and detest teachers just reading from a book love the video
@benjijustice739
@benjijustice739 10 жыл бұрын
This is a great trick! It also helped me really understand number systems other than base 10!
@d.-_-.b
@d.-_-.b 11 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.
@LevatekGaming
@LevatekGaming 6 жыл бұрын
I learnt a variation to this trick, but you know their card by memorising the bottom card in the deck and stacking them in such a way that their card is underneath the card you memorised. You then know their card and make a stack with how many letters it takes to spell their card. Then stack the rest of the cards however you want. Get them to tell you their card and then ask them to spell their card out whilst putting the stack you made down and then the bottom card should be the card they chose
@AleksandarKospenda
@AleksandarKospenda 11 жыл бұрын
Omg.Someone showed me this cardtrick like a decade ago my mind was blown. Been searching for it for a long time and this is the first time I seen it.
@FurpNate
@FurpNate 12 жыл бұрын
This is very similar to the HOCUS POCUS trick that I learned a long time ago. Now, I can place the piles whereever based on favorite number wow! Before, it was always 10. Thanks.
@Fgekc
@Fgekc 10 жыл бұрын
I need to re-watch this when I'm not falling asleep
@DamianReloaded
@DamianReloaded 11 жыл бұрын
Try to learn to calculate the chart. It's like base 10 but you carry one when a decimal place reaches 3. 1 = 001, 2 = 002, 3 = 010. One trick you can use is memorizing that 9 is 100 and 18 is 200. If the favourite number is 14, substract 1 from it: 13. Then start from 9: 100, 101, 102, 110, 111 which is middle-middle-middle reading the trinary from right to left.
@niklasgraf6370
@niklasgraf6370 8 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!
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