Re: [PIC] Klein Bottle

Shimrod wrote:
> 
> Here's a Klein Bottle (maybe a double even) based on the one Micheal
> Naylor has on his homepage. Basically, it's sortof a 3D moebius ring,
> the inside of one bottle is the outside of the other.
> 
>          _,-'"`-._
>        ,' , - - . `.
>        ( .       , )
>        |. `.- -,' ,|
>        | `-.:_:,-' |
>        |    : :    |
>        |    : :    |
>        (    : :    )
>         \   ; :   /
>          \,: - :./
>          /`-._.-'\
>         /   ; :   \
>        (    ; :    )
>        |    : :    |
>        |    : :    |
>        | _,-:":-._ |
>        |' ,'- -`. `|
>        ( '       ` )
>        `. ` - - ' ,' mn
>          `-.___,-'   hh
> 
> -shimrod

Herman, this is amazing!  I've never seen a representation of a bottle 
this way, but it is beautiful!  It's like you've taken the place where 
the 'neck' "passes through" the bottle and stretched it all around the 
outside, thus creating a radially symettric bottle.  Gorgeous!

Andreas had some question about it, I see, and on further inspection, eu 
may be right.  Trace a path starting on the outside of the upper lobe, 
go up around and inside and you find yourself on the inside of the lower 
lobe.  Keep going and you're back on the outside of the upper lobe 
without ever having touched the other side.  It is not a double moebius 
then.

Does it have an inside and an outside?  I'm not sure anymore what this 
is, but it is exciting!

What I particularly like about it is how it is so suggestive of 
infinity... it's like a 3D infinity sign.

Further, you are too kind to add my initials.  Your bottle is superior.  
Here is a revision of my bottle based on your ideas.



                ,-'"`-.
               /  ._. `\
              :  /  `\  :
              !  !    ! !
              (  )    ; ;
             /    \  / /
            /      \/ /
           /       /`/
          /       / /\
         (      ;`-'  )
         |     : :'   |
         |     : :    |
         | _,-:":-._  |
         |' ,'-  -`. `|
         ( '        ` )
         `. ` -  - ' ,' mn
           `-.____,-'   hh


Great stuff!  Thanks Shimrod!

Michael