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From: Tomlan2007
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  • Since both triangles have the same angles they could alternate positions but when u put the bigger triangle at the bottom of the rectangular frame then u leave a big gap at the top so the 2 L shapes are not long enough to fill their original place. Is easier to under stand it than to explain it, not that is hard to explain. I think my explanation was more quirky than the actual puzzle... lol.

  • I don't get whats so "fascinating" about the puzzle.

  • Thumbs up if you recognize the opera that this came from!

  • The gaps play the most important role. If the frame was exactly 5*13 inner dimensions it wouldn't work at all. So I think it's a matter of accurate construction.

  • dosnt work no more.....god patched it

  • dudes! at the right of the "squire" block you see a gab, this gab is just replaced and reformed, duhh

  • this is stupid..

  • Every part has its own surface-area, add them all, and they WILL generate the SAME surface-area. It is a cool trick, but like someone said, it IS the gap, if you would see the mathematic formula of the angle of the triangles, you will see they are different. I saw this "math problem" in math-class. It has nothing to do with moving the intire puzzle etc... Just the gap formed by the slopes of the triangles.

  • @axke I think u r right when it comes to da slopes of da triangles but I think da anles r da same and bcause both triangles have the same angles they could alternate positions but when u put da bigger triangle @ da bottom of da rectangular frame then u leave a big gap @ the top so the 2 L shapes are not long enough to fill their original place. Is easier to under stand it than to explain it, not that is hard to explain. I think my explanation was more quirky than the actual puzzle... lol.

  • just look at the far right edge of the puzzle, there is a small gap, that gap is then fixed to be the empty square. just an illusion if anything, nothing mathematical.

  • @copoplin

    the gap is there the whole time, it's just because of the ceiling does not fit exactly to the pieces. as you can see it's max 2-3mm big and one unit in this build is 2-3 cm which you can see when he's holding the l-shapes (3 units hight) is bigger than four fingers. 15cmx0,3cm is 4,5cm² and 1 unit² is 9cm³ and so this clearly cannot be the solution, just saying the math doesn't matter because of a gape is ridicules.

    The math shows the absolute truth.

  • So first position we have 8x5=40 units² (middle plus big triangle) and 5x2=10 units² .

    In second position we have 8x3=24units² and 5x5= 25units² and so the one unfilled square is now there.

    It’s just about extreme-values. ^^ hope I could helped to understand it.

  • @moglei Nice one, moglie. That's the most elegant and accurate solution. Excellent!

  • @moglei You couldn't be more wrong. You can't add surface area by moving objects around. There's a sliver on the far right that he fills after replacing the blocks.

  • The effect happens because of the position of the triangles and the shapes there are forming.

    If you have a fix U of a square the A will be max when you have quadrate. So when the smaller triangle is in top position the smaller area is near to perfect form and the bigger one is less effective.

  • everybody who thinks it’s about the piece not filling the whole thing in the first position is wrong!!!

    It just seems that way because you lose some space with the sawing of the pieces. Just check the drawing or build it yourself and you will see. The thing is 13 units long in first position (8 from the middle triangle and 5 from the l shape) and 13 in second (5 from the small triangle +2x5 from the l shapes – 2 for the overlapping.)

  • easy, the solution is a 7x7 square , but when you mix it up, they put 7 1/7 pieces of a square thats missing into a stick

    so its from square to rectangle.

  • from wich opera is this again?

    

  • omg thats to easy to figure out

  • Before he moves the first pieces look to the far right of the enclosure. There is a long sliver that must be the same surface area as the box that's left over, because when he replaces the pieces, he justifies them to the far right, and even spaces them out a bit.

  • look at the beginning on the right side there is an half a centimeter space and on the and no space is anywhere by moving the puzzle the left space is getting moved to the square pieces in the middle

  • the sloping side of the big triangle is angled outwards slightly wich makes the space. it isnt actualy a striangle

  • when you change the dimensions of the rectangle you also change its total area. the second rectangle had a larger area due to its dimensions and hence that's why there was a gap. this is simple calculus and only requires a few seconds to work out. omg sheesh what is happening to our younger generation these days

  • @Quarker99 Way to fail at trying to look smart. Perhaps you could explain using your "simple calculus" how the area of the rectangle could change using the same exact pieces. I don't know what generation you're from, but mine used Geometry and didn't try to fake understanding problems like these like you seem to be doing.

  • @mar504 LOL. Relax mate. I guess it's hard to portray a bit of fun or sarcasm over the internet. But, I think I've been caught out. Let's say you had a total perimeter of 12cm, with 2x4cm dimensions. Area = 8cm squared. Whilst still retaining the same perimeter, with dimensions 3x3cm, Area = 9cm squared. Even though you're using the same dimensions you have different areas.

    Area of rectangle = xy, perimeter = 2x+2y. Differentiate & let it equal zero to find the maximum possible dimensions.

  • @Quarker99 An area of 3x3cm would have a perimeter of 18cm, so it wouldn't be the same. If the perimeter is the same as before, it would be impossible for the area to change, that's a simple fact of geometry and the same reason why people find this puzzle fascinating.

  • @mar504 How does a 3x3cm rectangle have a perimeter of 18cm? 3+3+3+3 = 12... L.O.L.! My point still stands, having the same total perimeter but different dimensions changes the area. I couldn't digest it too at first but calculus proved it for me.

  • @Quarker99 The problem is the rectangle (in white) is NOT changing  it's perimeter.

  • the trick is doing the 'correction' right with the hands, adjusting the pieces so the gap cannot be seen in the original configuratin.

  • the only thing spooky is the music!

  • The 2 L shaped pieces are on top of eachother at first then they are next to eachother..

  • @picklezupyurnose Theyre never on top of eachother. LOL

  • @Digiscat ahhaaa, no.

  • god i feel dumb after watching the vid and reading the comments...........

  • @msericisgodly  Lol. Me too! :[)

  • Actually, it is maths AND tricks. Fie on you, deceiver.

  • Another way to say it is that there was a thin gap on the right side before, and when the puzzle was rearranged that gap was transferred to the square so the puzzle's outer dimensions actually did get larger.

  • AGHHHHH! MY EARS, THEY BURN!!!!!

  • ........meh pretty dull

  • i know how, you ate it when noone was looking. just kidding. im just being stupid

  • The spaces aren't completely tight in the beginning. You are just rearranging the space around the side to be in a square in the middle. Maybe it's spooky for someone new to this.

  • nyc combination of song n vid!!

  • @magicalorigami That's weird. It's not my soundtrack. I love the Carmen the opera but I never put it on! I wonder where that came from?  Even more spooky!

  • Comment removed

  • I'm not the most intelligent person in the world and i'm also not dumb, but I believe the angles on the 2 triangles are slightly different, over the space that they span will cause a gap between them which is the equivalent to one small square... Would that be right?

  • @ehaughey Yes, you are dead right.

  • @ehaughey or if you look left of the puzzle there is a gap that is filed up after the blocks are moved and thats where the space came from

  • Thanks for sharing. The Vanishing Leprechaun!

  • hay - i just thought it was a good puzzel :-)

  • its simple geometry you idiots. the space on the right is just accidental human error. you don't need a 191 IQ to understand that, hell you barely need a 100 IQ. Stop insulting the guy and enjoy the puzzle!

  • @josh93s1 Cheers Josh... I'm really glad that someone has realised what my vid was all about.

    For any other viewers (especially those who have IQs of over 190) that feel the need post a comment, let me explain in simple language:

    'It is just a puzzle'

  • if you look properly you can recoqnize that there is much space not filled in the upper right. the square in the second pussle form is this space, just a bit moved

  • I guess my IQ is too low or too high to might feel fascinated from it..... -_-"

  • its because the area of the two pieces are different when put together the second time than they are the first. its like making two pens for animals with the same amount of fence. if you make one more square it will have a larger area than the one that is elongated. idk what my IQ is and im probably wrong. and 14

  • its because the two pieces have a different area when they are put together the second way than the first its like making a pen for an animal with fence posts if the pen is closer to square the area is larger and if it is elongated more the area is smaller. idk what my IQ is and im probably wrong. and 14

  • It's not maths; it's chicanery, like sawing a contortionist woman in half. The two triangles do not have straight lines as hypotenuses. One triangle has a concavity in the hypotenuse (long side) while the other one actually has a bulge (convexity) on the hypotenuse. The difference is the equivalent of the missing square. There won't be a missing square if the parts have straight lines and touch along them. I have an IQ of 191. I cannot be fooled. Live long and prosper.

  • @1emanres You might have an IQ of 191 but you have also been fooled. The edges ARE straight (within human tolerances), it's the fact that they are just slightly different. See this page on my website.

    One is 8x2 and the smaller one is 5x2 so they have 'gradients'

    Good fun though, isn't it?.

  • its because the pieces that make up the rectangle have a different area when put together the second way. idk what my iq is and i am probably wrong

  • @1emanres i've tried it, it works. i used the exact design at the end of the vid. i used paper and it took about 30 secs to do. i normally wouldn't but when some nobcheese post a really long comment about how a video is fake and gay then i enjoy proving them wrong and writing an equally long comment, if not longer back. fuck off back to the star trek convention

  • @1emanres lol even i know its the gradients are the things that change but i only know that because ive seen the idea use elsewhere 191 yeah right 

  • My brain is full of fuck

  • lol its smaller on way than the other thats why lol

  • There is a big gap to the right of the puzzle, which becomes the square gap.

  • wow you guys are stupid. the two peices he pulls out are different dimensions to start with so when he puts them back in tthey dont fit in a square woth those dimensions. nothing change at all except the dimensions of the opening. that hardly seems like math but more of common sense...

  • i SEE THE TRICK PHOTOGRAPH AT 22 SECOND IN WHEN YOU PUT THE BOTTOM RIGHT L SHAPED PIECE IN, IF YOU LOOK CLOSLY YOU CAN SEE THE BOTTOM LEFT SIDE SHRINK AS YOU MOVE THE LAST L SHAPED PIECE INTO PLACE

  • I made my own and I can't get it down. It just grows out the sides of the two identical pieces can I get some help? Is it a trick, because I would be very upset if it was.

  • where has the half inch gap down the right hand side gone too????

    We may never know lol

  • According to a calculation I did, the hallow part appeared should have an area of zero. My guess is that the rough edges have defects that after the rearrangements, the wood pieces don't fit perfectly.

  • @BiancaWong I finally figure out why this happened! There are space between the pieces and the edges and the sum of these space is equal to the void appeared after the rearrangement. Come on, it's not maths, because maths gives us no void :)

  • if u look at the dimensions of the triangles u see that the first is 3:8 and the other is 2:8. the second arrangement of the triangles is the original and if u replace the triangles the empty square allocates around the little holes between the pieces, because of the inaccuracy.

  • When he switches the triangle their hypotenuses change leaving the extra square when he put the other two pieces back. lol i know good maths!

  • The measurements on the site are wrong.

  • @eye8and8vibe Looking back, they aren't wrong, but the two "rectangular" pieces are switched on the measurement page.

  • your not aligning the squarer pieces together, everyone look closely, hell you dont even have to look close at all. Its in plain view. THANKS FOR READING, HAVE A WONDERFUL DAY....

  • the space is all over the place

  • I got it! the second opening is narrower, which forces the blocks to separate creating the gap!

  • i really enjoyed this puzzle but it bothered me for a while because i could not figure it out. then i looked at the dimensions and realized that the triangles are not similar triangle as they should be. so as a result, when you rearrange them, they leave some extra space. very good puzzle though.

  • i really enjoyed this puzzle and it bothered me for a while but i took a look at the dimensions and i know why the puzzle works. i you look at the dimensions of the triangle, they are not similar triangles as they should be so when you rearrange them, you get some left over space. When you look at the puzzle without any dimensions, it does seem a bit spooky.

  • I have always been brought up to say "Maths". I come from Australia. It always seems weird to me when Americans say phrases like "Do the math ..."

    As others have pointed out, you don't say "Mathematic". You say "Mathematics", so the plural form seems entirely reasonable.

  • The L shape pieces are smaller on the right side and it's long and narrow. When the puzzle is moved around it just the same amount of space that's missing just a different shape.

  • theres small gaps, which add up to the missing square.

  • Its easy in the first order you can see a small bit missing in the right side shaped like long rectangle and in the second order he just moves him to the center and you can see its gone on the side.

  • this is stupid...

  • Between 0:52 and 0:53

    You can see this thin chunk of empty space on the top right corner...

  • @mega17 there are lot of tricks on same way, i don't know how it works, but they are real

  • @frickOfSickTrick

    I never said it wasn't, I just said I could see how it was being done. -.-

  • so if you have a grid, and make everything EXACT(which can be done on the computer) and arrange the pieces how you did, then you would see that it is not a perfect triangle :P

    well at least thats what i saw in another video...im not that smart :\

  • Maths?? There are more than one?

    Anyway, it's obvious, the fit is not exact.

  • Maths is proper English. It's short for mathematics (plural).  Please tell me what a 'mathematic' (noun) is? :-)

  • "Proper English?" By your definition. There is no such thing as a (single) math, in reference to an object, as you imply; therefore, it is simply illogical to pluralize 'math.'

    However, mathematics is a field of study. I would know -- it is my field of advanced study.

  • I envy you, I'd have love to have done advanced maths.

    We are both right, dictionaries all say :

    "UK informal maths, US informal math".

    As George Bernard Shaw is quoted as saying 'England and America are two countries divided by a common language'. I suppose the answer to your original question is: No, there aren't but there's nothing wrong with the word 'maths'.

    All the best with your studies,

    Tom

  • @Tomlan2007 but how it realy works? i hear that carl friedrich gauss worked on some thin like that, but i don't know is it even true. i asked my math teacher, he didn't know how it works

  • @Tomlan2007 A mathematic is a guy that likes maths :P? sry i just cant explain

  • @Tomlan2007 Math is short for mathematics, maths isnt short for anything faggot

  • You must be American. If you were stuying the subject of 'Math' as you call it, and you gave it the full title, you would say Mathematics and not Mathematic. Wouldn't you? " I'm reading Mathematic." Sounds wrong. Even the spell-check underlines it and asks for an 's' at the end. So in UK we say Maths, because there is more than one branch of "Math" Spell check wants an 's' again! Hence Maths. Sheesh!

  • How's that working out for you, being so clever?

    How can I argue with that?

  • Let me bet:

    dimensions have something to do with 13, 8, 5 and 3...

    ;~)

    Great woodwork!

  • i actually know this one!!!

    cool though

    pm me if you want the answer

    seriously

  • Tomlan you miserable piece of shit the two ''triangles'' are not real ones since the hypotenuse is not a straight line and you know that looser.

  • You are the loser Nick. There are actually 3 triangles in the puzzle and they are most certainly 'real' ones. Each having a perfectly straight hypotenuse.

    I suggest you engage brain before posting insults.

  • TomIan, I hate maths for a large reason, the majority of it is bollocks, trigonimetery, you have the measurement of one side of the triangle, and an angle which are "not drawn to scale/accurately" when they would be in real life for starters. But if you were able to measure one side of the triangle why not do it fucking again to find out the length of X no instead maths says we have to do some complicated horseshit to find it out, math should be simple useful logical knowledge, based on adding

  • Part 2 of my rant, based on adding, subtration, division muliplication division, fractions basic algebra, measurements, angles decimals... Some maths like that I can deal with but alot of it especially at GSCE level is utter bollocks surds are utterly useless for example, so whoop-de-doo you can make a small squar appear I know someone who can make 2+2=5 using maths, and to finish off can I ask why the fuck this video is posted under humour on stumbleupon? I can't see the joke

  • @Tomlan2007 the box is not filled in any of the shown situation 1. either its got this blank square or 2. the wood is not touching the right side of the box leaving room blank having the same area like the square. so whats actually the trick? don't quite get it...

  • you re good i ll give you that. three triangles? the one is a full ''triangle'' and the other is composed of 4 parts. two of the parts are ''triangles. but you know pretty well that the hypotenuse of these two ''triangles'' is not a straight line. just like with the big ''triangle''. the the hypotenuse isnt a straignt line thous these are not real triangles hence the one extra box. this doesnt defy logic at all. it is just an optical illusion...:P

  • easy. on the right edge there is space at the beginning. when it's rearranged the blocks go all the way over to the right edge and the leftover space is in that little square.

  • I agree McConsumer, a small long gap on the upper right hand side will result in a noticeable square left over when rearranged. No trick to it.

  • @McConsumer faaaaaar to simple explination - i´ts because the nonlinear shifting of the time/space constelation ......:-D

  • pirlaaaaaaaaaa!!!!

    meriti solo di essere preso a calci in culo!!!

    vai a offendere l' intelligenza dei tuoi parenti!

    CRETINO!!!!

    NON VEDI CHE SUL LATO HAI UNA ZONA VUOTA??

    FINE E LUNGA, MA CHE POI CONCENTRATA DIVENTA UNO SPAZIO QUADRATO!!

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  • salford08 dont be such a douche bag

  • Comment removed

  • its so clear that there was space between the peices.. except for when you change their locations. they are put tighter and the space is gathered into one place.. which is the square in the middle...

    nice trick though :)

  • your a moron

  • and what that reply makes you???

    i will give you few hours to think...

    good luck

  • lol you're hilarous!

    I'm not being sarcastic!

    "..a few hours to think..."

  • it's just a mathematical sophism

    search the google to learn

  • Excellent comment inconnu299, thanks.

  • u con ppl. this aint a trick or maths!!

  • I feel so used lol

    FAKE!! u actually spent time thinkin of the trick, makin it, and makin a video. nah ur not sad defo not sad no way. 100% man ur defo not a SAD guy :)

  • Dead right I'm not sad. What's to be sad about making a vid that over 30,000 people from around the world have watched and been entertained by it?

    Btw, I didn't invent it, it's been floating around the net for at least 10 years.

  • LOL I get it:

    The parts don't fit perfectly!

    From the top left corner to the bottom right there is a tiny gap.

    That's there before you start!

    Once you've moved the bits into another possible combination, the parts fit and the gap is revealed!

  • MORON!

  • no tricks just maths?

    lol

  • at the beginning there is a gap at the right which makes the missing square! hahahaaha not that smart

  • You aren't that smart either. The 'gap' that forms this square is actually on the diagonal.

  • MORON!

  • Ask him...

    I'm right!

  • famous "paradox" :D

  • hahaha.... the two squared peices fit together in two different ways

  • total bs

    see the small slit through the diagonal, none of the angles would be satisfying the alternate angle property in the first senario, The gap through the diagonal suggests , alternate angles equality is not satisfyed. More over the small angular distance makes up that space that we can see.. in the RHS , .Another point to be observed is right hand bottom corner in the first senario, we can see a gradient through the diagonal..

  • MORON! Nobody has commented on your idiotic comment because of all the big mathmatical words, your still wrong, and a fool to boot!

  • Look at the puzzle at the start - you will notice on the right hand right there is a gap between the frame and the edge of the puzzle along the entire length. the area of the gap is the same area as the "open square.

  • By the definitions of the original rectangle on your website the area of the whole box doesnt add up to what it should be, it is a half unit off from being complete.

  • As I said in the vid - it is just maths and the effect is fascinating.. It's only a very interesting problem, not a trick to wind people up.

    I'm glad it's generated such discussion!

    Cheers

    Tom

  • so, what is the math that makes half a unit go away?

  • Yea, but the total area of the entire rectangle should be the same, so even if he changes the box shape the entire area should be equal to the original area.

  • i tried this and my pieces overlapped? wth?

  • at 0:30 from the down right to up left there is a triangle... about 179-179-2 degs corners... see if you do it on the pc and draw a line extending the slanted side of each of the triangles it will not allign with the other corner... yes it may with this because this has spacings between each part sothat it can have parts taken out...

  • the reason for the square gap, is because the one side of the triangle is extended further than the smaller one.

  • there's still some gaps at the start and ending between the frame and pieces. When you show the square in the middle all that space is being gathred into one spot because you arranged the pieces in a new order. So it's really just an illusion, but I still think it's pretty cool. I'll have to try to make one.

  • Cheers U2fan24, as it says at the start, it's not a trick just maths.

    If you make one, you'll have great fun confusing the life out of your friends and family! :-)

  • lol thank you so much I was wondering how it happens XD

  • sorry but your wrong watch the top right rectanles he puts them one above the other and then side by side he doesnt place any pieses tightly

  • you fucking retard, calm the fuck down it's a god damn opinion shut your mouth

  • looks to me like you are the one that needs to calm down you are the only one swearing here and that is unneccesary

  • it's because the angles on each trianges is different

  • carino, anche se 'il trucco' si vede, e il fascino è permesso solo dalla scarsa qualità video, sennò dal vivo l'effetto è attraente solo per i bambini...

  • Thanks satrapatafisico.  It was only meant to be a fascinating puzzle, not rocket science! :-)

    Tom

  • LoL

    Just look at "Magic Triangle"

    It's pure math!

  • its not that cool anyway. at first the length rectangle is exactly to its frame. but when he rearranged it if fitted the frame and there came the missing part.

  • cool

  • I know the solution. let's say the two tri.s are triA, and tri.B. When tri.A&B switch, the area of the base and leg multiplied change. And since the area changes, you have to find the best possible way for the polygons to fit. And since there is no figure for the small square, it is empty. The legs and bases(of tri.A&B) make different areas. simple, as, that!

  • one of the pieces is longer.......look at it closely....

    nothing fancy you know, just need good eyes to see it....

    the bottom piece of the rectangle box removed has a shorter piece sticking out unlike the upper piece which has a longer one in contrast and comparison

    look at it and tell me if i'm wrong

    ......XD hehe

  • well of course because the second time you put them together differently it turns out looking like its missing something

  • yep. if you look the figure 1 closely, you'll see a gap on right side. on figure 2, the gap is missing. its placement trick.

  • If you pause the video in fifth second, you can see the space on the right hand side of the pieces and in between the pieces. When you re-arrange the puzzle, all that space is narrowed down to that missing space.

    There, is not that hard.

    Nice trick.

  • we had a puzzle like this in our maths class

    took me awhile but i got it

    the triangle has to be slightly bent to acheive that

  • sorry for that bad comment.but i do see it thow you switch the area diameter of length.great vids! ; )

  • No problem, we all do things we later regret - just look at some of the vids I've done! :-)

    Cheers mate.

  • do you think im stupid i can see it. and im only in 5th grade

  • No one suggested you were stupid yahboydude.

    But I think your grammar and puctuiation could do with some work. :-)

    Thanks for watching it.

  • And I can't spell 'punctuation'!

  • the hypotenuse of the largest triangle isn't straight. It's slightly convex and occupies the extra area in the first arrangement.

  • Thanks for commenting WV but all the pieces really do have dead straight edges. It's not a trick, it's a 'packing' problem. Packed one way and you get a big gap, packed the other way, you get small gaps that aren't seen easily.

    Cheers

  • i know the solution

  • are there plans for how to make it? could you send me a link to a website on how to make it if there is one?

  • at the beginning when the puzzle is assembled. look at the top right hand corner until 2/3 down you see there is a gap (a line) when you RE assemble the puzzle that gap is gone

    = that missing square.

    easy as pie

  • the gap was always there.