Re: [PIC] Klein Bottle
From Andreas Freise <ad...@mpq.mpg.de>
· alt.ascii-art
· 10 Sep 1997 00:00 · View full thread
· report
Shimrod wrote: > Here's a Klein Bottle [snip] > > _,-'"`-._ > ,' , - - . `. > ( . , ) > |. `.- -,' ,| > | `-.:_:,-' | > | : : | > | : : | > ( : : ) > \ ; : / > \,: - :./ > /`-._.-'\ > / ; : \ > ( ; : ) > | : : | > | : : | > | _,-:":-._ | > |' ,'- -`. `| > ( ' ` ) > `. ` - - ' ,' mn > `-.___,-' hh > Hm, I try and try but I can't see the Klein Bottle in it. First the original : ,-"~"-. / ._. \ : / \ : ! ! : ! ; ! ; ; / \ / / / \/ / / /`/ / / /\ | .`-' | | .'.' | | : : | | ..: :.. | |.' .' `. '.| `\ ' ` /' `--___--' mn The trick : walk (imagine yourself as an insect) over the bottle under the bottom and suddenly without any sharp corner you find yourself inside the bottle. Outside and inside are not seperated by a sharp edge like on top of the usual bottle. Your way of trying it with a symmetry does not work in my imagination. At least the crucial part cannot be seen in your drawing. The cross section has to be splitted into small parts (at least two) to leave a path for you (insect ;) to walk on. Actually your bottle looks like two rings put together. But I don't know if I 'get the picture' right. :) Andreas _ | Ascii Dictionary (Collection, Links, ...) | o | http://www.stud.uni-hannover.de/~freise | o <<.|_ _| < > |\ |
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f996b,fc2140a78047932d,start X-Google-Attributes: gidf996b,public From: Andreas Freise <ad...@mpq.mpg.de> Subject: Re: [PIC] Klein Bottle Date: 1997/09/10 Message-ID: <341...@mpq.mpg.de>#1/1 X-Deja-AN: 271332266 References: <341...@wing.rug.nl> To: Shimrod <csg...@wing.rug.nl> Organization: Rechenzentrum der Max-Planck-Gesellschaft in Garching Newsgroups: alt.ascii-art
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