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One of These Things is Not Like the Others

 
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Nov6-09, 08:27 AM   #1
 

One of These Things is Not Like the Others


Struggling with this one. What do you think?

Which of the five figures does not share the same basic, common feature that the others share?



The figures aren't perfectly recreated in the image - assume that the shape in the middle is a perfect square and is centered inside another perfect square.


EDIT: image fixed. Terribly sorry for the goof.


Also, if this stimulates interest, I've got another I can post.
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Nov6-09, 09:53 AM   #2
 
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I think the feature is ...
Spoiler
symmetry
Nov6-09, 09:57 AM   #3
 
Quote by Jonathan Scott View Post
I think the feature is ...
Spoiler
symmetry
Spoiler
Meaning they're all asymmetric except for B?
Nov6-09, 10:04 AM   #4
 

One of These Things is Not Like the Others


No.
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B is rotationally symmetric. They're all symmetric except D.
Nov6-09, 10:14 AM   #5
 
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I'm not seeing the symmetry in A, C, and E. 2 dimensional or 3?
Nov6-09, 10:23 AM   #6
 
Quote by Quixotic View Post
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I'm not seeing the symmetry in A, C, and E. 2 dimensional or 3?
??
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They're all mirror symmetry about an axis.
Nov6-09, 10:38 AM   #7
 
Brain fart, nevermind. I see it.
Nov6-09, 10:48 AM   #8
 
Spoiler
D has no symmetry. Look again. Your brain seems to have gas
Nov6-09, 10:54 AM   #9
 
This is embarrassing... I made a mistake with my image. The bottom half of D should look like the top half. I wasn't looking at my own image, I was looking at the original image in print.
Nov6-09, 10:56 AM   #10
 
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B is the only item that has lines that don't border a square (assuming overlapping squares). A, C, and E are obvious; D takes a tiny bit of diligence.
Nov6-09, 11:00 AM   #11
 
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Quote by Quixotic View Post
This is embarrassing... I made a mistake with my image. The bottom half of D should look like the top half. I wasn't looking at my own image, I was looking at the original image in print.
OK, in that case the feature is ...
Spoiler
mirror symmetry, and B is the odd one out
Nov6-09, 11:12 AM   #12
 
The second set of figures:



Same instructions.
Nov6-09, 11:19 AM   #13
 
Spoiler

B is the only one that cannot be drawn in its entirety with a single, unbroken line.

There is a quick trick to this. Some intersections contain an odd number of spokes. Ergo: endpoints of more than one line.
Nov6-09, 11:29 AM   #14
 
My first guess too, but we're looking for a basic, common feature, and what's even simpler is that

Spoiler
all the figures except C feature triangles.


Or is that too simple?
Nov6-09, 12:03 PM   #15
 
Quote by Quixotic View Post
My first guess too, but we're looking for a basic, common feature, and what's even simpler is that

Spoiler
all the figures except C feature triangles.


Or is that too simple?
Personally I think my answer is more elegant. I think the answer you gave is too ... trivial.

You could go even simpler and say c is the only one with no diagonal lines.
Nov6-09, 12:51 PM   #16
 
Quote by DaveC426913 View Post
Personally I think my answer is more elegant. I think the answer you gave is too ... trivial.

You could go even simpler and say c is the only one with no diagonal lines.
Personally I think yours is more elegant also.
Nov6-09, 05:23 PM   #17
 
I like Dave's answer, but also couldn't an alternative answer be D following the same reasoning as for the first question?
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