A Maths Puzzle: The Missing Square Solution

Solution to the missing square puzzle.

Пікірлер: 189

  • @singingbanana
    @singingbanana14 жыл бұрын

    Thanks Yann. I know the puzzles you were talking about before, using Fibonnacci numbers. I prefer this version, but that's just my opinion (it would be a way to teach Fibonnaci and the golden ratio).

  • @singingbanana
    @singingbanana14 жыл бұрын

    Thanks. I was pleased with my transparent grid bit.

  • 11 жыл бұрын

    I don't how I couldn't see this before, even in that triangle puzzle, but here. Have my subscription. Thank you for that, I can live happily ever after.

  • @ericsurf6
    @ericsurf614 жыл бұрын

    I've been using this puzzle for while and it always gets good response. Wonderful explanation! Couldn't remember if I did a video on it or not.... Thanks for the shout-out.....

  • @benjaminlehman3221
    @benjaminlehman32218 жыл бұрын

    I know this guy from numberphile.

  • @lucitfler58

    @lucitfler58

    7 жыл бұрын

    Benjamin Lehman i think numberphile is the cameraman and this guy is a mathematician.

  • @Sednas

    @Sednas

    6 жыл бұрын

    Lucitfler that is correct

  • @Nylspider

    @Nylspider

    6 жыл бұрын

    PowerFlammeX yep! ( Yep factorial)

  • @steijnvanb4634
    @steijnvanb46349 жыл бұрын

    I knew it, every time the size just didn't fit

  • @vrod2144
    @vrod214410 жыл бұрын

    You solved my biggest mystery. Thanks!

  • @BrendanDevlin94
    @BrendanDevlin9411 жыл бұрын

    I saw this on QI and did not understand, but now it makes sense thanks to the 1/7 part!

  • @lucitfler58
    @lucitfler587 жыл бұрын

    I've seen this before but never knew what's up. thanks this video explained it.

  • @HeidiFaith
    @HeidiFaith11 жыл бұрын

    I saw the "How to Eat Chocolate Indefinitely" gif on Tumblr and it used this trick. I must've watched it for 10 minutes trying to figure it out. Thanks for explaining!

  • @singingbanana
    @singingbanana14 жыл бұрын

    It is. The gradient of the slope is 2/7. The blue piece is 3 units wide, so the gap you see when I put the grid on top is an extra height of 1/7 units.

  • @oldcowbb
    @oldcowbb8 жыл бұрын

    no Fibonacci sequence?

  • @TyYann
    @TyYann14 жыл бұрын

    Nice and clear explanation!

  • @dave597
    @dave59714 жыл бұрын

    nice! the transparent grid helps a lot! :)

  • @Seigge
    @Seigge14 жыл бұрын

    Right after u used the transparency and re-arranged the pieces u realize it more. Nice clever puzzle.

  • @wolfshares
    @wolfshares9 жыл бұрын

    Thankyou. I saw this problem a while back and couldn't quite work out how it worked.

  • @alokhaldar9269
    @alokhaldar92698 жыл бұрын

    thank you for the explanation

  • @jaythefunone
    @jaythefunone11 жыл бұрын

    thank you SOOOOOOO much!!!!!

  • @TheDBest1994
    @TheDBest199412 жыл бұрын

    I was right as well @TadaKiba, I knew that the area was like a rectangle more and I knew the area was increased. I just didn't seem to know how it came to be 50 cubic centimeters.

  • @Rabblexthree
    @Rabblexthree10 жыл бұрын

    Thank you.

  • @marcushendriksen8415
    @marcushendriksen84155 жыл бұрын

    Pre-watch: if you accept the idea that matter can't just spontaneously disappear, then the solution is obvious - it can't be a square anymore Post-watch: I knew it

  • @demontoarch
    @demontoarch8 жыл бұрын

    Thank you

  • @garachomper737
    @garachomper73714 жыл бұрын

    i TOTALLY knew that lol that is so cool!

  • @MrD3STR03R
    @MrD3STR03R12 жыл бұрын

    Thank you :)

  • @Yoyo4lyf
    @Yoyo4lyf9 жыл бұрын

    I proved the solution to a similar puzzle to my algebra 2 teacher last year

  • @rockbanddan
    @rockbanddan14 жыл бұрын

    @Complexxx123 They're all parts of trigonometry, the math of triangles. They stand for sine, cosine, and tangent. I forget what they all mean, but they have to do with the hypotenuse and the two other sides of the triangle. For example, one of the sin, cos, or tan might be the hypotenuse, C, over the length of a different side, A, when the triangle is isosceles, C/A, might be the tangent, but I forget what they really are.

  • @842Mono
    @842Mono3 жыл бұрын

    The difference is so subtle X')

  • @andyandy1020
    @andyandy102014 жыл бұрын

    You are so smart.

  • @GiaIsTheBest
    @GiaIsTheBest13 жыл бұрын

    You are awesome

  • @SAS000KE
    @SAS000KE3 жыл бұрын

    WOW!

  • @George.Coleman
    @George.Coleman2 жыл бұрын

    the extra area gained in height adds up to one square. see the over hang at the bottom

  • @thelordaminos
    @thelordaminos11 жыл бұрын

    cool trick bro !

  • @singingbanana
    @singingbanana14 жыл бұрын

    Very good, shall I leave it for others to work out?

  • @laxmanmoharana3385
    @laxmanmoharana33853 жыл бұрын

    Genius

  • @rammstein812
    @rammstein81214 жыл бұрын

    ahh i really was wondering how it could happen, still amazing tho, thanks for the awesome video

  • @MrMinhChi2910
    @MrMinhChi291011 жыл бұрын

    thanks

  • @TheMapleFans
    @TheMapleFans13 жыл бұрын

    @kadahj2 Its 7 for cowboy a and 5 for cowboy B

  • @hpekristiansen
    @hpekristiansen11 жыл бұрын

    It would be even better, if the big arrangement was still square. n*n -> (n+dn)*(n+dn)=n*n+1 Is that possible?

  • @Booskop.
    @Booskop.11 жыл бұрын

    wow that one is mindf***ing

  • @Complexxx123
    @Complexxx12314 жыл бұрын

    can you make a video explaining what sin cos and tan mean when trying to solve a triangle sure i can push the button on the calculator but what do they actually mean???

  • @htomerif
    @htomerif8 жыл бұрын

    I'm sure it says this at the end, but I'm writing it anyway. The blue piece has a left side of 6 but a right side of slightly more than 5. The red piece added to the blue piece makes that 7. The yellow piece has a right side of 2, but again, a left side of slightly more than 5. With the pink piece (3) and the green piece (2), it also makes 7. When you swap the two, the entire right side is slightly more than 7 And the entire left side is slightly more then 7 by the same amount. How much more exactly? The green piece has a length of 7 and a height of 2. At the place where the blue and yellow pieces meet, what is the height of the small, similar triangle of length 3? The green piece's ratio of height to length is 2/7. Being 7 in length, it has a height of 14/7 or 2. The smaller similar triangle of length 3 has a height of 3*2/7 or 6/7, meaning that the sides of the blue and yellow pieces are both 5+1/7. The additional 1/7 in height multiplied by the (still 7) length yields 7/7=1=the missing square.

  • @MarkusDarkess
    @MarkusDarkess3 жыл бұрын

    This is great. Because that missing "square". Shows the next object is really close to a square. But is a rectangle. It is suck a slight different tou have to use the grid paper to check. This is the proof of optical illusions. XD. It is such a small difference you HAVE to check.

  • @vssnfrankiej
    @vssnfrankiej13 жыл бұрын

    @fspopshovit no because when cowboy b gives cowboy a 1 cow, A will have 4 cows and B only 1. the answer is A has 7 and B has 5. if B gives 1 cow to A, A has 8 and B has 4(2x4=8) and when a gives B 1 cow they will both have 6

  • @quangbeoyl
    @quangbeoyl11 жыл бұрын

    @@ vietnamese love that

  • @chuayosua
    @chuayosua11 жыл бұрын

    rest in peace my friend

  • @motn2017
    @motn201713 жыл бұрын

    you explained it in math, which was right, but in real what we did is changing the pieces and that should make differant space between the pieces so the pieces cant cover another area

  • @hoangtranminh6003
    @hoangtranminh600311 жыл бұрын

    bác nào xem hết sẽ nghĩ là rút ruột nhưng nếu nhìn kỹ từ đầu là nó thêm vào. Ngay từ lúc lấy 2 miếng đầu ra khỏi hộp roài mới lấy mấy miếng kế, ngay giữa đoạn đó có sự tiếp nối đoạn cảnh. Nó đã thêm vào 2 miếng đặt tầm giữa. để ý kỹ thì trước khi lấy ra khỏi hộp thì rất đều, nhưng sau đoạn mình nói đấy thì thấy ngay có sự lệch nhau giữa các ô vuông từ miếng thứ 3 và 4. Không phải rút ruột mà là làm hỏng thị hiếu của con người qua chính con mắt của họ...

  • @hi1hi2hi2
    @hi1hi2hi214 жыл бұрын

    I was going to say on the last video that the square got bigger but i thought i was wrong so i didnt post, but still really nice puzzle =) gj

  • @singingbanana
    @singingbanana14 жыл бұрын

    @dragson1234 *Nottingham accent.

  • @MrSnipes911
    @MrSnipes91114 жыл бұрын

    Thank you for the explantion, my braian is still in contact

  • @darkdudironaji
    @darkdudironaji14 жыл бұрын

    @dragson1234 i guess that makes sense. I just thought everyone from there spoke the same.

  • @nugboy420
    @nugboy4202 жыл бұрын

    Wow that’s so cool. I wasn’t sure how it was rectangular at first then the 1/7th added i was lik3 omg so cool then I came and commented

  • @rafiqueislam1332
    @rafiqueislam13326 жыл бұрын

    I have made this as my maths project

  • @drJonasM
    @drJonasM13 жыл бұрын

    @spazdaMX5 no your wrong... 5 for a and 7 for b would mean that if b gave 1 for a they would both have 6... cowboy a wanted the double of b

  • @brands2131
    @brands213111 жыл бұрын

    It does have a lot to do with math. Its the way the 1x1 area was "moved" into a another area that wasnt obvious of a 1/7 * 7 area at the bottom. I don't understand when you say it was to do with wizardry?

  • @MrUlug89
    @MrUlug8913 жыл бұрын

    i told you few second ago on your other video =)

  • @OMG232323392
    @OMG23232339211 жыл бұрын

    Tức là cái phần thừa ra chính là diện tích của cái ô còn thiếu. Khi cắt ra và sắp xếp khác đi thì ô còn thiếu đó diện tích đc chia đều ra thành cái đường thẳng bé bé đó. Nếu k tin bạn thử cộng chúng lại sẽ ra đc.

  • @itachiuchiha-zl6bc
    @itachiuchiha-zl6bc11 жыл бұрын

    con người thật thông minh và bá đạo

  • @TheJUANITO03
    @TheJUANITO0313 жыл бұрын

    suscribed

  • @RMNDK4life
    @RMNDK4life12 жыл бұрын

    I like him, he's smart.

  • @OnumLCT
    @OnumLCT9 жыл бұрын

    It may upset you but I have already found it before. Very good.

  • @U014B

    @U014B

    8 жыл бұрын

    (#ÒnÓ) I am very upset.

  • @Aleitheo
    @Aleitheo11 жыл бұрын

    The gif got to Tumblr already? That was quick.

  • @spazdaMX5
    @spazdaMX513 жыл бұрын

    @PencilStudios I meant 7 for a and 5 for b =/ sorry ty for the correction

  • @Contherage
    @Contherage12 жыл бұрын

    That's pretty fucking neat. No lie..

  • @ChewyCheddar
    @ChewyCheddar13 жыл бұрын

    @kadahj2 Cowboy A = 7, Cowboy B = 5

  • @daviddavidson3603
    @daviddavidson3603 Жыл бұрын

    Class 👍. Anyone know where I could purchase the puzzle ?

  • @spazdaMX5
    @spazdaMX513 жыл бұрын

    @kadahj2 5 for a and 7 for b?=) gd puzzle!

  • @AlexKing-tg9hl
    @AlexKing-tg9hl5 жыл бұрын

    This is one of my favorite paradoxes. It is a paradox right? James?

  • @RexNunc

    @RexNunc

    4 жыл бұрын

    no paradox as the 1/7th makes up the additional square.

  • @beng115
    @beng11513 жыл бұрын

    fucking love you SB!

  • @TadaKiba
    @TadaKiba12 жыл бұрын

    Yay, I was right!

  • @RexNunc
    @RexNunc4 жыл бұрын

    or 1/28th on each side

  • @anushrao882
    @anushrao8824 жыл бұрын

    Parker Square of a puzzle.

  • @lukastux3024
    @lukastux302410 жыл бұрын

    could you please link the template you used?

  • @MrJohnniezzz
    @MrJohnniezzz13 жыл бұрын

    @jonlin1000 how is it a paradox?

  • @jaydeeC09
    @jaydeeC0913 жыл бұрын

    when you said the area of the new shape is 50 units squared and that explains the 49 squares and the 1 in the middle, it's still 49 squares including the middle.i don't understand what you were referring to.

  • @minhboi2
    @minhboi213 жыл бұрын

    @singingbanana 5 and 7?

  • @Makaraka222
    @Makaraka22214 жыл бұрын

    I thought it was something like that :)

  • @boingyfly007
    @boingyfly00713 жыл бұрын

    I didn't actually know this puzzle had a solution on youtube.

  • @duhskills129
    @duhskills12914 жыл бұрын

    @kadahj2 The answer: cowboy A =7 cows, cowboy b =5 cows for: 7+1,5-1 = 8,4 8/4 =2 5+1,7-1 = 6,6 therefore Cowboy A = 7, cowboy b =5. That was an easy one

  • @OpFlaVi
    @OpFlaVi13 жыл бұрын

    @kadahj2 well after 2 minutes i solved it.piece of cake. cowboy A has 7 cows, cowboy B has 5 cows.cowboy A ask cowboy B for 1 cow so he can have double,7+1=8cows for cowboy A if B gave him a cow and B 5-1that hew gave A=4.8 is double as 4.now if A gave 1 cow to B there would be A 7-1 that he gave B =6 and B 5+1 that he took from A=6

  • @fernandosanchez9726
    @fernandosanchez97264 жыл бұрын

    Hey this is one of the guys from numberphile oh well see y'all in 10 years when it gets recommend again

  • @Parthematics
    @Parthematics13 жыл бұрын

    @kadahj2 cowboy a has 7 cows and cowboy b has 5

  • @zaurkrixium
    @zaurkrixium13 жыл бұрын

    @kadahj2 is it 3

  • @comic4relief
    @comic4relief6 жыл бұрын

    Saw it originally in a what video?

  • @imlan123
    @imlan12314 жыл бұрын

    This annoyed the hell out of me :P

  • @tipwilkin
    @tipwilkin4 жыл бұрын

    Infinite chocolate!

  • @zomborouk
    @zomborouk11 жыл бұрын

    finaly, i found this fucking missing square

  • @NoRefundsXD
    @NoRefundsXD14 жыл бұрын

    i knew it

  • @brands2131
    @brands213111 жыл бұрын

    Its not stupid. Its not obvious that the space moved somewhere else because the 1/7 x 7 rectangle at the bottom is hard to see and the area of the second puzzle using the same pieces looks like 7x7 -1 instead of 7+1/7x7 -1

  • @johnnyho5833
    @johnnyho58335 жыл бұрын

    I think the 1/7 rectangle can create a square!

  • @jessiecooper8532
    @jessiecooper85324 жыл бұрын

    Thank you! This puzzle was giving me a headache.

  • @fspopshovit
    @fspopshovit13 жыл бұрын

    @kadahj2 Cowboy A has 3 cows, and Cowboy B has 2 cows. Is that right?

  • @OneManArmy1421
    @OneManArmy142111 жыл бұрын

    I like you. I wish we could have been friends when I was growing up. Maybe I wouldn't have failed math.

  • @conman639
    @conman63912 жыл бұрын

    It's a Cheez-it!

  • @MrRedeyedJedi
    @MrRedeyedJedi14 жыл бұрын

    thanks, how interesting.. I'm more of the scientifical types lol.. it's just a pitty that the majority of views are accounted for on stupid vidoe's like people getting hurt and things.. these interlectual puzzles and theories/workings, so it seems, are indeed un looked at quintisentially.. what does that say? well its not exactly evidence for anything.. just saying (i watch FUNNY stuff too lol.. only human) but im glad people post things like this on here.. good effort. :) 5 stars.

  • @Chesteryoshka
    @Chesteryoshka13 жыл бұрын

    @kadahj2 they have 3 cow each, but 2 of their cows belong to 2 cowboys? my english sux =(

  • @Rockwarrior2004
    @Rockwarrior200413 жыл бұрын

    @kadahj2 A= 7 B= 5

  • @experiment117
    @experiment11710 жыл бұрын

    You win internet points.

  • @latticeusk
    @latticeusk8 жыл бұрын

    Arthur

  • @bryanturtle
    @bryanturtle13 жыл бұрын

    @kadahj2 is this problem unsolvable