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From: Randy Gardner <randyg@slip.net>
Subject: Re: Simply illusions
Date: 1997/12/06
Message-ID: <348A176F.1792@slip.net>
X-Deja-AN: 295916194
References: <66bllo$fvj@newstoo.ericsson.se> <3489A50A.3628@slip.net>
 <3489CE22.5731@mpq.mpg.de> <3489E18E.4B0B@slip.net>
 <3489EB19.5413@mpq.mpg.de>
Organization: The large stack method     (CEO:  Rsoft)
Reply-To: randyg@slip.net
Newsgroups: alt.ascii-art


Andreas Freise wrote:
>.....

Clear front:

                                 ______________
                              .'|              |
                            .'  |              |
                          .'    |              |
                        .'      |    back      |
                      .'        |              |
                    .'          |              |
                  .'            |______________|
                .'    side     .'             .'
              .'             .'  bottom     .'
            .'             .'             .'
          .'             .'             .'
        .'             .'             .'
      .'             .'             .'
    .'             .'             .'
  .'             .'             .'
.'_____________.'             .'
|            .'|            .'
|          .'  |          .'
| front  .'    |        .'
|      .'      |      .'
|    .'        |    .'
|  .'          |  .'
|.'____________|.'

There!  Now you see what I mean.


At an angle looking stright at the corner will make the lines line up.


Would SOMEBODY PLEASE make one, and post it.
I know somebody here has a digital camera, since you posted the images
of the 'blocks' that you used on the semi-impossible triangle!

Here's how to make it:

Get a box:
  ____________
 /           /|
/___________/ |
|           | |
|           | /
|___________|/

Remove the labled sides:

  ____________
 / XXXXXXXX  /|
/___________/ |
|           | |
| XXXXXXXX  | /
|___________|/

You will then have:

  ____________
 /|          /|
/ |         / |
| |_________| |
| /         | /
|/__________|/

With lines to show sides:

  ____________
 /| | | | | |/|
/|| | | | | /||
|||_|_|_|_|_|||
||/ / / / / ||/
|/_/_/_/_/_/|/

Hmm, that made it harder, didn't it. :-)



    ____________
   /| | | | | |/|
 1/|| | | | | /||
  |||_|_|2|_|_|||
  ||/ / / / / ||/
  |/_/_/_/_/_/|/

If that box were viewd from an angle that made point 1 line up with
point 2, it would make the image.

Would the person who did the impossible cubes pictures please do
that and post it?  Who was that?.?.?.  Ah, Veronica Karlsson did
it! Veronica..........................


Actually, hmm...

Looking again, you may need to scrunch the box a little to make it 
look EXACTLEY like the first image, but it is still possible.


Hmm....
      

         ___  |             ___  
      .'|   | |          .'|   | 
    .'  |___| |       .'   |___| 
  .'  .'   .' |    .'    .'   .' 
.'__.'   .'   | .'__  .'   .'   
|   |  .'     | |   |   .'     
|___|.'       | |___|.'       


There!  That stereogram shows it!

The extra 3D information removes the ambuiguity.

Let's touch it up:

         ___  |             ___  
      | |   | |          / |   | 
    |   |___| |       /    |___| 
  |   |    |  |    /     /    /  
|___|    |    | /___  /    /    
|   |  |      | |   |   /      
|___||        | |___|/        


Uhh...

Let's start over:
      ___
    /|   |
   / |___|
  /  /  /
 /__/  /
|   | /
|___|/ 



      ___  |         ___  
    /|   | |       /|   | 
   / |___| |      / |___| 
  /  /  /  |    /  /  /  
 /__/  /   |  /__/  /   
|   | /    | |   | /    
|___|/     | |___|/     



      ___  |          ___  
    /|   | |        /|   | 
   / |___| |      /  |___| 
  /  /  /  |    /    /  /  
 /__/  /   |  /__  /  /   
|   | /    | |   |  /    
|___|/     | |___|/     





      ___  |          ___  
    ||   | |        /|   | 
   | |___| |      /  |___| 
  |  |  |  |    /    /  /  
 |__|  |   |  /__  /  /   
|   | |    | |   |  /    
|___||     | |___|/     
  @            @


Well, it doesn't look very good, but it gets the point across.


The added 3D info shows the brain how to handle it properly.

Many illusions fail to trick when a 3D version is shown.



> Add those together and it's 'impossible'. You might
> say that this is not what you see but - funny as it
> is - that's what I first saw in PS's pictures.
> 
> While you assumed line 1* is hidden behind the front
> plate and connected to the lower left corner, my eyes
> would like to see it connected to the upper right.
> 
> > I hope you get the point.
> [snip]
> > At a certian camera angle, the image will look like the one shown.
> 
> Yes, I get your point. Nobody seems to get mine.
> Anyway, last try :
> /|/ \|\ /|/ \|\ /|/ \|\ /|/
> /|/ \|\ /|/ \|\ /|/ \|\ /|/
> /|/ \|\ /|/ \|\ /|/ \|\ /|/
> /|/ \|\ /|/ \|\ /|/ \|\ /|/
> /|/ \|\ /|/ \|\ /|/ \|\ /|/
> /|/ \|\ /|/ \|\ /|/ \|\ /|/
> /|/ \|\ /|/ \|\ /|/ \|\ /|/
> /|/ \|\ /|/ \|\ /|/ \|\ /|/
> /|/ \|\ /|/ \|\ /|/ \|\ /|/ (PS)

I still don't get yours.  :-)

Time for your lenghtly explination.................  :-)
 
> This is also an illusion and I hope we don't need cameras or
> boxes to prove it. But there's nothing wrong with it, only
> that it provides a picture our brains cannot hangle properly.
> That what it is all about. At least my brain does the same
> with this

I have done 3D design as well as many 'escher' pictures, and a little
flag pops up in my brain whenever I see these, and how it is made or
why it can't be made pops right up next.  :-)

>            ____
>          .'\  /
>        .'   \/
>      .'    .'
>    .'    .'
>   /\   .'
>  /__\.'    (PS)

I see how to make a real-life image of that one too, but I won't
detail it.
 
> 
> :)                                           (
> Andreas                                     (  )
>                       .___.            ,-.  __)      NC + a:f
>        \|/           //===\\        ,-' o `-!|
>      .'+^+`.        //=|_|=\\    ,-'---------`-.
>    .'///|\\\`.     //=======\\    | [+]   [+] |   .-------------.
>   //////|\\\\\\   //|||'"`|||\\   |    ___    |  <   huff, puff  >
>  /((|||^..|||))\  |||||.^ |||||   |   |   |  //   `--v----------'
>   ((|||(oo)|||)   |||||o) |||||   |   |'  |  |..~~~O
>                                             {   ~vv'
>   ASCII Dictionary :                          |
>   - http://www.stud.uni-hannover.de/~freise  >O<
> 
>   Alt.Ascii-Art FAQ :
>   - http://www.stud.uni-hannover.de/~freise/ascii/faq.html



Whew!  Lot's of typeing!!!


-- 
--randyg@slip.net  (Randy Gardner)
--http://www.slip.net/~randyg/index.htm  - *New*  Download a maze
  program that lets you actually walk *inside* the maze!!