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).

Thanks. I was pleased with my transparent grid bit.

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.....

You solved my biggest mystery. Thanks!

I know this guy from numberphile.

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.

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

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

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!

Nice and clear explanation!

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

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.

nice! the transparent grid helps a lot! :)

no Fibonacci sequence?

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

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

thank you for the explanation

thank you SOOOOOOO much!!!!!

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.

i TOTALLY knew that lol that is so cool!

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

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

You are awesome

Thank you.

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

Thank you :)

The difference is so subtle X')

cool trick bro !

Thank you

Genius

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

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

You are so smart.

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

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.

WOW!

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

wow that one is mindf***ing

@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.

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

suscribed

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

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???

fucking love you SB!

The gif got to Tumblr already? That was quick.

rest in peace my friend

thanks

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?

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

That's pretty fucking neat. No lie..

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

could you please link the template you used?

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

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

@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

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

I have made this as my maths project

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

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

You win internet points.

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.

@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

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.

I like him, he's smart.

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

finaly, i found this fucking missing square

@@ vietnamese love that

The awkward moment when both top comments are identical...

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...

@dragson1234 *Nottingham accent.

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.

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

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

@jonlin1000 how is it a paradox?

Parker Square of a puzzle.

Infinite chocolate!

Saw it originally in a what video?

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

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

I don't know why i'm that stupid. I should've known this from the start.

Now i can die in peace

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

@singingbanana 5 and 7?

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

I'm making one of these right now. I'm cutting it out of a record. If that doens't work I'll try wood....

Doctor? Is it you?

It's a Cheez-it!

Yay, I was right!

@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

con người thật thông minh và bá đạo

Thank you! This puzzle was giving me a headache.

This annoyed the hell out of me :P

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

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

@kadahj2 is it 3

@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

I thought it was something like that :)

I paused it at 7 seconds in and am going to guess how it's done. If it's a 7 by 7 square now, you must turn it into a 6 by 8 rectangle so that the area is one less square. It works because a square will have the optimized area for a quadraliteral, and a rectangle isnt as optimized. We just had an optimization test in calc today so it looks familiar. :D Hope i get it right.

@kadahj2 Cowboy A = 7, Cowboy B = 5

or 1/28th on each side