Impossible looking puzzle
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- Опубликовано: 14 окт 2024
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this is in my maths book
Do you know anyone who prints and sells it?
How many puzzles do you have?
@@josephwinbush8000 800+
@@Puzzleguy wow
Thank you for not pretending to struggle then suddenly noticing the extremely obvious four right angles
Where does the Pneumonoultramicroscopicsilicovolcanoconiosis Go
That’s right the square hole ◻️
@@Buddy8435the Pneumoultramicroscopicsilliovolcanoconiosis is a lung disease
@@Buddy8435 why are you putting lung disease in ANY hole??
@@Buddy8435I know what word you typed but I still hate you for making my brain try to understand it
@@Buddy8435you’ve just screwed everyone with hippopotomonstrosesquippedaliophobia
That’s right! It goes in the square hole.
Where does this DODECAHEDRON go?
Hint: ⬜️
Edit: who’s gonna be the 400th Liker today?
Another Edit: who’s gonna be our 700th liker today?
NOOOOOOOOOOOOOO!!!
“Where does the irregular decagon go?”
“Thats right, the square hole”
Dear God it's back
Please don't hurt us again plEASE
Anything can fit in a square hole, if the hole is big enough
Who said it would be impossible?
You, yeah definitely you
Agreed
Technicaly it was impossible *looking* puzzle
"Its actually not hard, but it looks impossible"
My man what are you on when you posted this
@@Unlucky-9172 highly doubt you would've knew how to fit all of the pieces in the square just by your attitude
He only fr
It's very easy when you realize that every piece has one right angle
It’s very easy now that I watched this video…
I accidentally disliked your comment and for some reason I feel bad enough to feel obligated to apologize? Idk man brain is weird but sorry for that have a good day
@@josephmurphy417
Lol it's okay I forgive you
@@josephmurphy417 Who hurt you bro are you ok?
@@DDan42 no
If you do the math, you’ll find that the square actually has MORE space inside it; it’s just distributed differently.
this can be used as teaching material
how would you know the square has more. it would have more if the square and the triangle had equal sides but they obviously don’t. now of course they have about the same area here because pieces fit about the same in both of them but that’s because the triangle has a larger side.
@@kassemhmady Because I calculated it using the pythagorean theorum and the area of a triangle being base times height divided by two.
Care to show the math on that one?
@@Neekalos well, let’s say the triangle had a side length of 4 that would make the area of the triangle 6.92820323027551. The square seems to have a side length that is about 2/3 of the triangle side length, which gives the square an area of about 7.111111111111111 which is actually more space on the inside than the triangle has.
As a high school math student, it's pretty obvious from the beginning that both shapes have similar areas
As a person who hates math, yes, its very obvious
As an observant person, It was pretty obvious from the start since every piece had atleast one corner of about 90°
I'm not that good at math and even I could see that it would fit
If length of a side of equilateral triangle = 1,
Length of a side of square (with same area as the triangle)
= sqrt [½ × 1 × (sin 60° × 1)]
≈ 0.658
So a length of a square's side is 0.658 times the length of a triangle's side, although they are the same area
So the square appears smaller
@@FifyKaqiqiPain Wow...! i think this is why many people think the puzzle is confusing...
No one:
He: it’s impossible.
Also him: Who said it’s impossible?
Also him: it *looks* impossible not it is impossible
go read the title
@@thatonecatwithalotofmemesbro 😂
him
Have you heard of comedy before
Plot Twist:
It turns into a circle
😂😂
“How did all these squares make a circle?”
@@ExEBoss
"I-"
"It's fine, it doesn't bother me, it doesn't bother me-
"It bothers me, it bothers me alot-"
"AND THAT ONE'S STILL GREEN"
"Square candies that look round"
@@potatospeedwagon3994 KAMI, I NEED YOU TO TELL ME THAT I CAN LEAVE WHENEVER I WANT!
“looks impossible at a first glance” ≠ “its impossible”
Just put the horizontal shape in vertical way and it's done
This one is easy
“Who said it was impossible”
You did
He didnt
You must be deaf
@@shadow20482 he did
@@6Shots_ofEspresso read it again, the title says that it *_looks_* imposible, not that it is
i thought that at first too until i rewatched. he didn't. he said it *_looks_* impossible.
If length of a side of equilateral triangle = 1,
Length of a side of square (with same area as the triangle)
= sqrt [½ × 1 × (sin 60° × 1)]
≈ 0.658
So a length of a square's side is 0.658 times the length of a triangle's side, although they are the same area
So the square appears smaller
I knew there would be a trig comment ❤ man I miss maths in school
I was about to write this if I didn't see that someone already had.
Fifi you the man
So the square's side length isn't 2/3 of the triangle's side length?
There is a nice theorem about this. If two polygons have the same area, then you can cut one of them up into polygons which can be rearranged to make the other. This is the Wallace-Bolyai-Gerwien theorem. In fact, the example in the video is a classic example. Interestingly, it turns out that the analogous statement is not true in 3d. It is not the case that any two polyhedra with the same volume can be cut into polhedra which can be rearranged into the other. For instance, a tetrahedron cannot be cut and rearranged into a cube with the same volume. To do so, we require that the two objects have the same volume and the same Dehn invariant.
mans noticed the Dudeney dissection
That's a pretty cool observation.
and on the 2d shape, that makes sense, but it's interesting to note that it doesn't translate into 3d shapes.
I'm not that smart but you can see that in the original triangle the 4 sided figures are arranged with long angles pointing outward. It stands to reason that if you point them inwards you might have a fighting chance to fit them into the square.
I like your funny words, magic man
Smart
This man will solve every single puzzle problem I have without me needing to buy a puzzle
I feel like this would be really easy because every right angle on the pieces just goes in a corner of the square
"it's impossible"
"who said it's impossible?"
yeah yeah I'm deaf sorry
* it *_looks_* impossible
"um acshcually he said it LOOKS impossible" doesn't matter it does NOT LOOK impossible if you stare at it for more than 2 seconds this is quite literally the easiest puzzle ive seen in awhile
"who said it is impossible?"/"who said it isn't possible"
You, you did, puzzle guy.
Do you mean me
It’s more of an illusion trick. We could’ve understood the puzzle better if this was in our hands
Yes, it's impossible if u pour water.
Because the volume varied.
I love size illusion puzzles. They are fantastic.
The one comment the creator liked is the one that agreed with his nonsense idea that it seemed like these two shapes were different sizes
Don't support yters that demand their followers be sycophants
You are one of the person who question himself and then answer himself too 💀
So am I 💀
He's making content bro. Media literacy downhill
When you see four right angles stacked next to each other in the middle of the puzzle you know it's going to be a doddle.
That’s right, the pieces go in the square hole
"Wow oh my gosh, look at the dump truck on that--lets keep going" 😂😂😂
-Fusion
guess its true, everything goes into the square hole
This takes the whole “anything can fit in a square” to a different level
A twist on the old version where they only ask you to make a square from the triangle but you can not mix the pieces only make a smooth move to show how it's possible. That's great.
Triagle area is (h×b)÷2
Square area is L²
That means that a triagle needs to have bigger sized sides to match the area of a square.
You reminded me of Dora the explorer by overlooking the obvious right angles of the pieces😂😂😂
All the right angles make it seem pretty easy to me
Yeah. It's obvious even for kids.
I mean, the curious kids, they don't have to be smart, just simple observation.
@@versuzzero5335 oh shit i'm a kid then
I still remember the area formulas to this day bro 😂
"If there's a hole, there's a goal"
Golf goals be like:
"That's right, the Square Hole."
And there's a hoe
@@sugasavagerystudyacademy Chill, it's Golf ⛳
@@sugasavagerystudyacademy Why the emoji tho
25-12-2023
WAW!!!
AMAZING!!!
❤❤❤❤❤❤
An equilateral triangle with side length t has area t^2*sqrt(3)/4, or about 0.433t^2. A square with side length s has area s^2. If we set these equal, we find s = 0.658t, meaning the side length of a square can be just under two thirds (65.8%) the sode length of an equilateral triangle whilst maintaining the same area.
That caught me so off guard-😭
Ngl they looked to be a similar size, especially when you put the triangle on top. It’s easy to visualize if you could “cut off” the outside pieces and move them to the empty space in the triangle
Yeah, this thought puzzle loses its mystery when you can see the slices in the area from the beginning
It works because the formula for volume of a triangle is BxH/2 while a square is just BxH.
Area of a square = L*W
Area of a triangle = 1/2 (L*W)
I 💕 this channel
That's right, it goes in the square hole
"That's right, it goes in the square hole"
As a JoC fan I am very impressed by the fact that you did not die very much, these nights are hard man
why are these videos so interesting to me
As long as the volume is the same, you can put as much air into it as you want.
for a second I though you were going to place the pieces in standing on the slanted sides
"Who said it is impossible?"
IDK Bro, something's tugging at me but I can't quite place it...
🤣🤣🤣
Easy but impossible-looking
wow, these are so creative. You should totally keep making the SAME DAMN VIDEO EVERY TIME DAMN IT!
I love feeling myself getting more spatially aware and smarter while learning from these videos. Thank you 😊
True,in blackboard a teacher struggles to make us understand his views,while in virtual like these,our mind doesn't need to integrate to image things
Wish you all the best too (watch Action lab shorts for few more science 😃)
05.03.2023 05:43 pm ist
Bro took the little tangrams game to a whole nother level by making it an illusion 💀
Nothing is impossible to Puzzleguy 🔥
Who also understood the trick?
This is a pretty good activity for explaining the concept of equal areas.
Never let them know your next move:
Just stack them
But then it won't be a square
@@sun_wukong1 He only said to fit them into the square, not into a square shape
The video creator: IQ 180
The person owns this comment: IQ 300
Me before answering to fit the guy💀💀
@@FireSaladCat thx
How teachers teach math:
"You make them stand up, right?"
Our problems in life is like this triangular box , we may think it's impossible to solve the problems but when we tried or understand the problem we can truly make it.
i think it’s pretty easy to discern how to solve the puzzle because each piece has a 90 degree angle in them
Other people probably beat me to it, but this puzzle is based off "scissors congruence", where if any 2 polygons have the same area, you can _always_ cut the original polygon into finitely many pieces, then rearrange them to form the other polygon, no matter what the aforementioned polygons are.
This reminds me of that math problem where there's a triangle divided into smaller shapes. When they're rearranged, you end up with an empty square.
Where does the triangle go?
That’s right! The square hole.
What would be cool is if you had to rotate the pieces on their side and stack them horizontally. You could get some really weird looking puzzles with that idea
Notice that an equilateral triangle have all 60° angles and equal sides while a square have all right angles and equal sides.
YOU SAID THAT'S IMPOSSIBLE AAAAAA
That one actually looks really easy. I saw right off the bat that the 4 pieces each have one right angle and then I could see the solution!
You are a genius i'm glad you made this video
Suppose 5cm side equilateral triangle:
Area:√3/4(5^2) =10.625.cm2
Square of 4cm side:
Area:16cm2
Did anyone else figure it out immediately by noticing that each of the shapes had a right angle to them?
This is proof that everything should go into the square hole
That's right the square hole.
The shape it makes as a result is satisfying.
Simple, face the long sides outwards and you have a larger appearing shape, meanwhile do the opposite and it looks smaller! Geometry folks, it’s amazing.
Squares have more volume than triangles if you are wondering why it works
The triangle is half of a square with exactly double the area of the smaller square, so both shapes have the same area, as long as all the pieces aren't longer than a side length of the small square, and have atleast 1 right angle it should work for any 4 shapes
He did the impossible 💀
The tricky thing is this:
If you have study math, you may have some exercises of "Perimeter and Area", well, the Triangle looks big, but the area is equal the square's area
Fantastic job
thats right! it goes in the square hole!
This works because triangles have half the area of squares, and the triangle is double the size of the square
I solved this in my head. It was very fun. Thank you
The key is in the Right (90°) angled corners
Solved it in my head almost immediately.
This feels like the picture of the kid with the two glasses of water when he points to the taller glass of water
Fun fact: since no peice was flipped, both of the shapes have the same area.
we're not talking about size, we're talking about area, and that's why it fits into the square
It mathematically makes sense that they may have the same area despite having bigger/smaller sizes. A square is the product of it’s height and width, while a triangle is the same but divided by two, so a triangle whose height and width are the same as a square with double the area of a smaller one has the same area as the smaller square. Just a fun fact
It goes in the square hole
Is it just me or is chris better than other tutorial channels
3 seconds in, I saw the right angles in the middle, and knew instantly that it was very much possible
Geometry, triangles are 1/2 base and height while squares are base and height.
less of a puzzle, more of an interesting surface area experiment
it’s because two triangles arranged to create a square will create one square that is double the area of one of those single triangles. _this_ square is half the area of that previous square, making it the same area as the triangle. the only reason they look like difference sizes is because a) short answer, squares and triangles are different shapes, and b) long answer, because area works differently with squares vs triangles. angles in a triangle add up to 180, and angles in a square add up to 360, remember? so a triangle will appear bigger because it’s cramming the same area into much harsher angles. basically, if you put the shapes on top of each other, you’d see that the little points on the triangle would be able to fill up the empty space on the square left by the harsh angle of the sides. if that makes any sense at all.
also this video assumes you don’t know this, which i find odd, considering i suck at math. lmao
This is hilarious because of how much he's serious about it!
Vertical to horizontal
The size is different, but the volume is the same, that's why the pieces can fit in each box.
If you cover the triangle with the square then there will be points on both shapes that will not be covered/covering
The area of a Triangle is always divided by 2. So a Triangle can be double the size of a square and will have the same area.
Wait......now fit it in a circle😁
it can be transformed into any shape as long as it has the same volume and depending on how you devide it into
i mean the formula for area of a triangle is 1/2 base * height and a square/rectangle is just base * height