Some of you may have seen this trick before, what's the answer?

c627627 · 07-11-04, 11:55 PM

Click here if image link dies:
http://www.simeonmagic.com/triangle/triangle1.htm

dalilman52 · 07-12-04, 12:13 AM

i think its pretty obvious...the top green right triangle only takes up one long vertical square whereas the bottom green triangle takes up two vertical squares, they made the top one look taller or something

c627627 · 07-12-04, 12:30 AM

How's 5 units base and 2 units height not the same? They're the same.

Enablingwolf · 07-12-04, 12:54 AM

MY stab at it..
Ok... since the red piece is only 5 full squares long and the green is 4 full squares long. The remaining divisions of squares make the hole. To compinsate in equalizing the length/height.

William · 07-12-04, 01:00 AM

look at the distance between the 2nd and 3rd horizontal lines which is what daliman was trying to say.

zexmarquies01 · 07-12-04, 01:07 AM

well, in the top one.

the distance between the 2nd and 3rd line, is the exact same, as two squares. Just doesn't have the line it in. measure it, its the same.

But, its still the same size. take out the lines, you get the same size.

tom10167 · 07-12-04, 01:18 AM

Quote:

Originally Posted by zexmarquies01

well, in the top one.

the distance between the 2nd and 3rd line, is the exact same, as two squares. Just doesn't have the line it in. measure it, its the same.

But, its still the same size. take out the lines, you get the same size.

Uhh.. did you measure it? I did. On my 19" monitor at 800x600 the green triangle in the second picture is undoubtedly smaller than the one in the first triangle.

Korndog · 07-12-04, 01:19 AM

do the math guys
find the angle of both of them
tan 2/5
tan 3/8
totally different inclines
its an evil trick, cuz u can photo shop it and it'll look right, u gotta do it with really cut outs to see the difference..

Thelemac · 07-12-04, 01:21 AM

3/8 is a different slope than 2/5.

If you look closely you can see that the top hypotonues is convex and the bottom is concave.

Korndog · 07-12-04, 01:25 AM

Quote:

Originally Posted by Thelemac

If you look closely you can see that the top hypotonues is convex and the bottom is concave.

good eye. didn't see that

evil evil tricks teachers play on their students..
*sobs* its trigonometry all over again!! *runs in circles*

zexmarquies01 · 07-12-04, 01:25 AM

take a peice of white paper.

either trace the green triangle if you wish, or just use the corner of the paper, put that at the top right of the green triangle. then with a pen, mark where the bottom of the green triangle is.

then, match it up to the other green triangle. they matched up exactly the same for me.

zexmarquies01 · 07-12-04, 01:27 AM

posted my last post, before i read these few others.

Good eyes. eh, its 2:30 am here. don't feel like doing math.

but, you are correct, the angle is different.

c627627 · 07-12-04, 01:34 AM

Hm.. the thickness of the line is apparently used to mask the change in slope, although by copying-pasting on top of each other in image editor, you sure can't tell.

Korndog · 07-12-04, 01:36 AM

tan-1 2/5 = ~22degrees
tan-1 3/8 = ~20degrees

not a lot, but enough to cut out a unit or two from a large triangle like this one

Korndog · 07-12-04, 01:41 AM

Quote:

Originally Posted by c627627

Hm.. the thickness of the line is apparently used to mask the change in slope, although by copying-pasting on top of each other in image editor, you sure can't tell.

So only the green triangle is different, eh?
All other shapes are identical while the connecting slope line is not a straight line in the green triangle?

the picture is slightly distored, 1 or 2 degrees difference is hard to see on a picture as well, but thats all thats needed to leave that empty cell.

c627627 · 07-12-04, 01:46 AM

Nice. Thanks.

Look at the upper red triangle height is 3, base is 8.
Look at the lower green triangle height is 2, base is 5.

So if you look at the upper and lower trianle as a whole, the lower left angle is not the same because 3/8 does not equal 2/5.

So the upper and lower triangles are not identical because the line connecting the base and the height is more curved for one than the other.

Korndog · 07-12-04, 01:51 AM

took the liberty of some image editing
made triangle (white line, red outline) made a copy of it and lined it up (pixel by pixel) to show how they differ
enjoy

c627627 · 07-12-04, 01:56 AM

The curves are so obvious now.

Korndog's post also proves how a picture is worth a thousand words.

JigPu · 07-12-04, 02:15 AM

Speaking of pictures being worth a thousand words..... When are we going to see compressions to get (good quality) pictures to only 7K?

1000 words is approximatly 5000-7000 charachters, which is 5000-7000 bytes. One would hope that we'd eventually find a way to compress pictures of arbitrary size (probably using fractals I'd think) down to only 7K of info so that all pictures truly are a thousand words. I wanna see that technology soon!

</random thought>
JigPu

Cerberus2k7 · 07-12-04, 08:45 AM

You should have put a warning on this thread for people like me who hate math!

My brain hurts and now I hate math even more.

And you could put those pieces into any pattern and it would show some freaky distortion. Kinda like those "Only fit one way" puzzles

07-11-04, 11:55 PM	Thread Starter #1
c627627 Senior Member Join Date: Feb 2002 Location: Kansas	Some of you may have seen this trick before, what's the answer? Click here if image link dies: http://www.simeonmagic.com/triangle/triangle1.htm Last edited by c627627; 07-12-04 at 01:36 AM.
	QUOTE Thanks

07-12-04, 12:13 AM	#2
dalilman52 Member Join Date: Jun 2003 Location: Houston	i think its pretty obvious...the top green right triangle only takes up one long vertical square whereas the bottom green triangle takes up two vertical squares, they made the top one look taller or something __________________ The search function is there for a reason, USE IT!!!
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07-12-04, 12:30 AM	Thread Starter #3
c627627 Senior Member Join Date: Feb 2002 Location: Kansas	How's 5 units base and 2 units height not the same? They're the same.
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07-12-04, 12:54 AM	#4
Enablingwolf Senior Member overclocking at the speed of plaid Join Date: Jun 2004 Location: Strongsville	MY stab at it.. Ok... since the red piece is only 5 full squares long and the green is 4 full squares long. The remaining divisions of squares make the hole. To compinsate in equalizing the length/height. __________________ No one ever expects Aloysius Snuffleupagus Last edited by Enablingwolf; 07-12-04 at 01:01 AM.
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07-12-04, 01:00 AM	#5
William Prodigal Son Moderator Join Date: Mar 2001 Location: Tuscaloosa AL	look at the distance between the 2nd and 3rd horizontal lines which is what daliman was trying to say. __________________ Cameron: Are you crazy, House? You can't divide by zero! The server is almost overloaded as it is, despite us having pumped it full of matrices! Foreman: He was right about that infinite sequence last week... maybe we didn't consider this could be an asymptotic problem. House: This is the only way! Sometimes solutions are NP complete and there's nothing anyone can do about it! Foreman, sneak into the physics department and reroute their servers to ours, we need the extra processors if we don't want this equation to go quadratic on us. Chase, patch the memory leak and install Matlab 9.3. Chase: Shouldn't we be using Mathematica for potentially asymptotic functions? House: When I want your opinion, I'll do an affine transformation to get it. I'm off to see Cuddy. Those parabolic eigenvalues of hers must be good for something.
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Some of you may have seen this trick before, what's the answer?

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07-12-04, 01:07 AM	#6
zexmarquies01 Join Date: May 2002 Location: Ohio	well, in the top one. the distance between the 2nd and 3rd line, is the exact same, as two squares. Just doesn't have the line it in. measure it, its the same. But, its still the same size. take out the lines, you get the same size. __________________ AMD X6 1055T @3.8Ghz GIGABYTE 890FX-A UD5 6 Gigs of G Skill DDR3 1600 RAM EVGA GTX 460 HAF 932 Tower "Talking about how fast you beat a game is like talking about how fast you are in bed." Do you like Anime? Then join the OCF anime club! OCF Anime Club Click here, and click JOIN!
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07-12-04, 01:19 AM	#8
Korndog Member Join Date: Nov 2002 Location: California	do the math guys find the angle of both of them tan 2/5 tan 3/8 totally different inclines its an evil trick, cuz u can photo shop it and it'll look right, u gotta do it with really cut outs to see the difference..
	QUOTE Thanks

07-12-04, 01:21 AM	#9
Thelemac Administratively Deficient Join Date: Mar 2001 Location: Canton, MI	3/8 is a different slope than 2/5. If you look closely you can see that the top hypotonues is convex and the bottom is concave. __________________ 42 \| Sig Assassin click
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07-12-04, 01:25 AM	#11
zexmarquies01 Join Date: May 2002 Location: Ohio	take a peice of white paper. either trace the green triangle if you wish, or just use the corner of the paper, put that at the top right of the green triangle. then with a pen, mark where the bottom of the green triangle is. then, match it up to the other green triangle. they matched up exactly the same for me. __________________ AMD X6 1055T @3.8Ghz GIGABYTE 890FX-A UD5 6 Gigs of G Skill DDR3 1600 RAM EVGA GTX 460 HAF 932 Tower "Talking about how fast you beat a game is like talking about how fast you are in bed." Do you like Anime? Then join the OCF anime club! OCF Anime Club Click here, and click JOIN!
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07-12-04, 01:27 AM	#12
zexmarquies01 Join Date: May 2002 Location: Ohio	posted my last post, before i read these few others. Good eyes. eh, its 2:30 am here. don't feel like doing math. but, you are correct, the angle is different. __________________ AMD X6 1055T @3.8Ghz GIGABYTE 890FX-A UD5 6 Gigs of G Skill DDR3 1600 RAM EVGA GTX 460 HAF 932 Tower "Talking about how fast you beat a game is like talking about how fast you are in bed." Do you like Anime? Then join the OCF anime club! OCF Anime Club Click here, and click JOIN!
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07-12-04, 01:34 AM	Thread Starter #13
c627627 Senior Member Join Date: Feb 2002 Location: Kansas	Hm.. the thickness of the line is apparently used to mask the change in slope, although by copying-pasting on top of each other in image editor, you sure can't tell. Last edited by c627627; 07-12-04 at 04:00 PM.
	QUOTE Thanks

07-12-04, 01:36 AM	#14
Korndog Member Join Date: Nov 2002 Location: California	tan-1 2/5 = ~22degrees tan-1 3/8 = ~20degrees not a lot, but enough to cut out a unit or two from a large triangle like this one
	QUOTE Thanks

07-12-04, 01:46 AM	Thread Starter #16
c627627 Senior Member Join Date: Feb 2002 Location: Kansas	Nice. Thanks. Look at the upper red triangle height is 3, base is 8. Look at the lower green triangle height is 2, base is 5. So if you look at the upper and lower trianle as a whole, the lower left angle is not the same because 3/8 does not equal 2/5. So the upper and lower triangles are not identical because the line connecting the base and the height is more curved for one than the other.
	QUOTE Thanks

07-12-04, 01:56 AM	Thread Starter #18
c627627 Senior Member Join Date: Feb 2002 Location: Kansas	The curves are so obvious now. Korndog's post also proves how a picture is worth a thousand words.
	QUOTE Thanks

07-12-04, 02:15 AM	#19
JigPu Inactive Pokémon Moderator Join Date: Jun 2001 Location: Vancouver, WA	Speaking of pictures being worth a thousand words..... When are we going to see compressions to get (good quality) pictures to only 7K? 1000 words is approximatly 5000-7000 charachters, which is 5000-7000 bytes. One would hope that we'd eventually find a way to compress pictures of arbitrary size (probably using fractals I'd think) down to only 7K of info so that all pictures truly are a thousand words. I wanna see that technology soon! </random thought> JigPu __________________ .... ASRock Z68 Extreme3 Gen3 .... Intel Core i5 2500 ........................ 4 thread ...... 3300 MHz ......... -0.125 V 2x ASUS GTX 560 Ti ............................... 1 GiB ....... 830 MHz ...... 2004 MHz .... G.SKILL Sniper Low Voltage ............. 8 GiB ..... 1600 MHz ............ 1.25 V .... OCZ Vertex 3 ................................. 120 GB ............. nilfs2 ..... Arch Linux .... Kingwin LZP-550 .............................. 550 W ........ 94% Eff. ....... 80+ Plat .... Nocuta NH-D14 ................................ 20 dB ..... 0.35 C°/W ................ 7 V "In order to combat power supply concerns, Nvidia has declared that G80 will be the first graphics card in the world to run entirely off of the souls of dead babies. This will make running the G80 much cheaper for the average end user." "GeForce 8 Series." Wikipedia, The Free Encyclopedia. 7 Aug 2006, 20:59 UTC. Wikimedia Foundation, Inc. 8 Aug 2006.
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07-12-04, 08:45 AM	#20
Cerberus2k7 Drifto Mexicano Join Date: Feb 2004 Location: Denver, CO	You should have put a warning on this thread for people like me who hate math! My brain hurts and now I hate math even more. And you could put those pieces into any pattern and it would show some freaky distortion. Kinda like those "Only fit one way" puzzles __________________ Member of OCdriftingNinjas \| You gotta' Fold if you wanna turn up the Heat Overclocking: My Anti-Drug. \| Overclocking my body...one day at a time... \| Black Belt Ubercloxx0r \| You are the most ripped yo-yo'er I have ever seen. - Seven HTPC \| i5 2500k@3.8 \| Gigabyte Z68X-UD3H-B3 \| 16GB HyperX \| GTX 460 1gb@845/1100 \| 1.5TB \| Silverstone LC10S-M \| Corsair 500w
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