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Post some good ones (Pics of ...)
Arthur Kalliokoski
Second in Command
February 2005
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{"name":"angular_momentum.jpg","src":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/b\/c\/bc9c0ff7df322af205b1e0b9b52e6305.jpg","w":600,"h":386,"tn":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/b\/c\/bc9c0ff7df322af205b1e0b9b52e6305"}angular_momentum.jpg

They all watch too much MSNBC... they get ideas.

Neil Black
Member #7,867
October 2006
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When she turns CW, not only the foot tip remains on constant height from the floor (except for the slight variation due to the jumping), but the length of the leg remains constant.

I didn't notice that before. Dammit, now I have to admit I might be wrong. :-/

Kitty Cat
Member #2,815
October 2002
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I wonder if the trick is that she can't be spinning either CW or CCW. By that, I mean, if she's spinning CW, then the reflection is wrong, and if she's spinning CCW, the perspective is wrong. How your brain interprets these anomalies and whether you instinctively see a CW or CCW motion is what the illusion is about. IIRC, the original meaning behind the illusion was that if you saw her spinning CW, you were more technically minded, and if you saw CCW, you were more artistically minded.

--
"Do not meddle in the affairs of cats, for they are subtle and will pee on your computer." -- Bruce Graham

Jonny Cook
Member #4,055
November 2003

I can only see it CCW. I don't see how it could be possibly be CW.

[edit]

I just looked at this one: http://www.moillusions.com/2007/06/spinning-sihouette-optical-illusion.html and all of a sudden it's CW.

[edit2]
If I loot at the base of her foot, the direction she rotates alternates each time her raised foot passes through her body. But it seems like direction defaults to CCW for me. Weird...

The face of a child can say it all, especially the mouth part of the face.

type568
Member #8,381
March 2007
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I'm still unsure about her spinning, but here's another one:

{"name":"leprechauns.3.jpg","src":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/f\/3\/f36956a8a9976ddbdcded142f80fba22.jpg","w":400,"h":229,"tn":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/f\/3\/f36956a8a9976ddbdcded142f80fba22"}leprechauns.3.jpg

The top two sections are swapped, and as a result number of the gnomes varies. It really is just swapped, I checked with paint..

23yrold3yrold
Member #1,134
March 2001
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I've seen that one before; there's a reason they're all drawn at staggered heights ...

--
Software Development == Church Development
Step 1. Build it.
Step 2. Pray.

type568
Member #8,381
March 2007
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Of course.. One of'em is formed from fragments of others, or something.. But I can't find specifically.

Neil Black
Member #7,867
October 2006
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Now I'm sitting here trying to figure out where the extra one comes from. I'm supposed to be getting ready for D&D, durnit! :P

23yrold3yrold
Member #1,134
March 2001
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Lawl; that's what I'm doing. Going into DM mode in 2:15 ...

--
Software Development == Church Development
Step 1. Build it.
Step 2. Pray.

Jonny Cook
Member #4,055
November 2003

I think I figured the gnome thing out, although it's still not perfectly clear in my head...

In the first picture, each gnome has a top half and a bottom half. So you are counting 14 whole gnomes. However, in the second picture, two of gnomes you count are actually only half gnomes (well, more than half, but they are missing bottom or top sliver). So you are counting 13 whole gnomes, plus two half gnomes.

I think that completely explains it, although it could be missing something.

The face of a child can say it all, especially the mouth part of the face.

Matthew Leverton
Supreme Loser
January 1999
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Let's say we have three gnomes drawn like:

11
11 22
---------
11 22 33
   22 33
      33

Now if we shift the top half to the left by one gnome, we gain a gnome:

<-- shift top half

11
11 22
   ---------
   11 22 33
      22 33
         33

With the pieces cut out, it looks more like:

           11 <-- "extra" gnome
   22      11
   ----------
   11 22 33
      22 33
         33

If everything is drawn right, you don't notice that everybody is missing a slice of their body.

superstar4410
Member #926
January 2001
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I have no idea what you are talking about, well some idea, but I don't follow.

Don't take yourself too seriously, but do take your responsibilities very seriously.

Matthew Leverton
Supreme Loser
January 1999
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Count the vertical columns before and after moving the top half over by a slice; you gain one. If drawn correctly, everything lines up and it looks like there's an extra gnome.

It would be move obvious in the illusion if the gnomes were ordered from left to right by height. Put the one with the least amount of body on the bottom half to the far left; put the one with the most amount of body to the far right.

In the illusion, the 6th gnome from the left would be on the far right (most body below the center). Note how he doesn't even have the top of his head after the shift is done. The 7th gnome from the left would be on the far left (least body below the center). Note how he has no feet when shifted.

So everybody is shorter by a small slice in the extra-gnome version.

{"name":"602980","src":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/6\/5\/65677ce6efb55394834fff687dca3a17.png","w":400,"h":229,"tn":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/6\/5\/65677ce6efb55394834fff687dca3a17"}602980

The gnomes are numbered from 1 to 14, starting with the least amount of body on the top, etc. When the pieces are swapped, #1 loses the top of his head. :-/ He gives it to #2, who gives his to #3... and upward to #14. Since #14 is almost entirely on the top, he looks okay when he gets placed above previous empty space.

Arthur Kalliokoski
Second in Command
February 2005
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I was trying to count faces, and couldn't figure out where the missing face went. I was marking them with a pencil tool but got disgusted before I was done. Some of them seem to have four eyes.

They all watch too much MSNBC... they get ideas.

type568
Member #8,381
March 2007
avatar

I think I figured the gnome thing out, although it's still not perfectly clear in my head..

Referring to your spoiler, you're right- that is the idea behind it. But actually explanation has to specify the changes, and how a gnome appears/disappears.

However,

the most left bottom leg, isn't necessary for one of the gnomes, he's just fine without it.

The gnomes are numbered from 1 to 14, starting with the least amount of body on the top, etc. When the pieces are swapped, #1 loses the top of his head. He gives it to #2, who gives his to #3... and upward to #14. Since #14 is almost entirely on the top, he looks okay when he gets placed above previous empty space.

What Arthur says.. We need a head. We have 14 heads, then 15. Where did the 15th come from(went to)?

My solution sketching:

I made the image a little bit simpler.. Actually, I've made two simplifications and one of'em at some point "answers" the question..

The first simplification:
{"name":"602982","src":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/5\/a\/5a4b070727e0c930488b0d2fb72a0b14.jpg","w":1206,"h":687,"tn":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/5\/a\/5a4b070727e0c930488b0d2fb72a0b14"}602982

Few gnomes parts are erased, but the question stays- hence it's removal of unnecessary parts to make the things look easier, forgive me for not posting it before going to sleep.

The 2nd simplification:
{"name":"602983","src":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/4\/e\/4ec0b1d236d9ad98e9ac87784a836558.jpg","w":1206,"h":687,"tn":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/4\/e\/4ec0b1d236d9ad98e9ac87784a836558"}602983

This one implements further deletions, and this time removes anything that isn't necessary to claim that all heads are untouched. So here, the question stays if we only try counting the heads. I'm not sure one can delete anything else for a head to be disappearing anyways without any thorough mess.

The open question is where does the head go(specifically, not general idea)?

Johan Halmén
Member #1,550
September 2001

type568 said:

Referring to your spoiler, you're right- that is the idea behind it. But actually explanation has to specify the changes, and how a gnome appears/disappears.

Um... no. That was the idea behind it. And Matthew cleared it out just a bit more. 14 gnomes become 15 gnomes, if you take one and put it in halves. But when you do that, you take care that the two halves get small slices from all the other gnomes, so that they look almost complete. Don't count any heads. It makes no difference whether you count heads or whole gnomes. If you try and count heads, you're back in the annoying illusion.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Years of thorough research have revealed that the red "x" that closes a window, really isn't red, but white on red background.

Years of thorough research have revealed that what people find beautiful about the Mandelbrot set is not the set itself, but all the rest.

type568
Member #8,381
March 2007
avatar

Counting heads is a simplification of counting gnomes, as an identifiable head is the thing that defines a gnome. You can instead count whole gnomes, but counting heads is a "smaller task". If you identify the lost head, you've identified the lost gnome.

Dennis
Member #1,090
July 2003
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That gnome thing does not even count as an illusion in my definition of an illusion (something appears to be as something it is not).

Also, I think with all that counting and analyzing you're making things way too hard on yourselves, just use your eyes:
{"name":"602987","src":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/1\/6\/162e099807b0d10f7e7aba8952f34fa2.png","w":403,"h":232,"tn":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/1\/6\/162e099807b0d10f7e7aba8952f34fa2"}602987

Johan Halmén
Member #1,550
September 2001

type568 said:

as an identifiable head is the thing that defines a gnome.

...

type568 said:

The open question is where does the head go(specifically, not general idea)?

The heads are sliced and put together again, just as the whole gnomes. Some get sliced at the head, some at the torso or legs. You can't identify any of the heads that get sliced.

Think of the gnomes in the first image as figures, each containing 15 parts. The black line cuts them in parts. The first gnome is divide into 13/15 and 2/15, the next one into 8/15 and 7/15, according to this image:
{"name":"602990","src":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/9\/f\/9fda77e5741e5b71dad31362b833967e.png","w":415,"h":279,"tn":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/9\/f\/9fda77e5741e5b71dad31362b833967e"}602990
When you shift the upper parts of the image, each gnome will consist of only 14 parts, first being 12/14 + 2/14 etc. Just look at the numbers. The 6th gnome is 0/14 + 14/4, the 13th gnome is 14/14 + 0/14. If the images disturb you and prevent you from realizing where the 15th gnome came from, maybe the numbers help.

I remember from school that 15*14 equals 14*15. In this case it means that we can have 14 gnomes in the first picture and 15 in the second, but the total sum of gnoo (a special stuff gnomes are made of) is the same in both pictures.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Years of thorough research have revealed that the red "x" that closes a window, really isn't red, but white on red background.

Years of thorough research have revealed that what people find beautiful about the Mandelbrot set is not the set itself, but all the rest.

Matthew Leverton
Supreme Loser
January 1999
avatar

type568 said:

What Arthur says.. We need a head. We have 14 heads, then 15. Where did the 15th come from(went to)?

If you don't understand my explanation, you won't ever understand it. It's kind of a funny illusion, but it's extremely simple to work out. :P

I don't know why you think heads are any more important than anything else. If I draw three heads, each with 4 pieces, and then remove one piece from each head, then I can create a 4th head.

 1      2      3
aaaa   eeee   iiii
bbbb   ffff   jjjj
cccc   gggg   kkkk
 dd     hh     ll

Use your imagination to pretend those are four heads. Now I will strategically remove one slice from each:

 1      2      3        4
----   eeee   iiii     aaaa
bbbb   ----   jjjj     ffff
cccc   gggg   ----     kkkk
 dd     hh     ll 

and now compact the images:

 1      2      3        4
bbbb   eeee   iiii     aaaa
cccc   gggg   jjjj     ffff
 dd     hh     ll      kkkk

Oh dear, whence came #4?

If drawn correctly these slices can be removed without causing too much problems from the original images. Face #1 is missing the top (aaaa), but that might just be the top part of his hair. So now he'll have a buzz cut or be bald.

Maybe person #2 is drawn with really big eyes. I can cut out that slice, his wide open eyes turn into narrow ones, etc.

It should be easy to visualize.

Edit:

From somebody who has already done what I suggested earlier (rearrange by height, then shift):

{"name":"leprechaun4.gif","src":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/8\/4\/84377a9f14bd129a48699a886abf69d7.gif","w":560,"h":125,"tn":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/8\/4\/84377a9f14bd129a48699a886abf69d7"}leprechaun4.gif

{"name":"leprechaun5.gif","src":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/0\/6\/06a9540e8f48900b75d912c6c1a868b6.gif","w":600,"h":125,"tn":"\/\/djungxnpq2nug.cloudfront.net\/image\/cache\/0\/6\/06a9540e8f48900b75d912c6c1a868b6"}leprechaun5.gif

The alignment is slightly off. Anyway, have fun counting heads. :P

superstar4410
Member #926
January 2001
avatar

I think I create some really good threads :)

Don't take yourself too seriously, but do take your responsibilities very seriously.

type568
Member #8,381
March 2007
avatar

@sinned

I'm not getting you.

@LM

A'right, accepted. That does it, simpler than anything else. /me has raised my hat to honor our Supreme Loser :P

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