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).
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.....
11 лет назад
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.
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.
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!
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'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.
@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
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
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
@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 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.
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?
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.
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...
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
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 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
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???
@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 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.
I didn't like this puzzle, cause I expected a much more concludent solution. Of course, the space is moving somewhere else. What should it do in your mind? But what higher conclusion is there in this puzzle, than the space has moved to somewhere else? It's really stupid from what I see.
i still don't get it, probably never will. i get it's 7 1/7th long now, so that's the place for the missing square but i still don't understand how it happens
