Re: request
On Wed, 26 May 2004, Michele Cerulli wrote: > > > In article <200...@bunrab.ronnet.moc>, > col...@yahoo.com says... > >It's impossible in 3 dimensions, but if you will allow use of time as > >the fourth it is very easy: > > In fact it is "impossible" in the sense that we cannot represent using the > standard representations of drawing, painting, or sculpturing, but as soon as > we allow other kind of representations, we can represent it. ? it has been "represented" several ways here and in links. It is impossible to build a "real" Klein bottle in any 3 dimensionsal space, but is possible in (at least some) 4-d spaces. What I presented was not a "representation", it was a real Klein bottle in 4-d "spacetime". --Related: you play asteroids on a torus [tho the aliens don't!] but cannot tell which way the hole is (most any sense there is none!) since it is a "flat" torus. Ponder both a bit more if you don't see it. Further discussion should however be moved to a different group, except for further ascii representations. Anybody want to suggest one (maybe by setting follow-ups?) 3ch _ ((_)) "There must be a thousand other guys /:-:\ Must be some other way to look good in your eyes //|_|/ Why am I up here, what do they see in me? O | | Must be one thousand other places to be - why me?" [_]|^| b d
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: f996b,f6cc4b56f43d1274 X-Google-Attributes: gidf996b,public Path: controlnews3.google.com!news1.google.com!news.glorb.com!bigfeed.bellsouth.net!news.bellsouth.net!cox.net!news-xfer.cox.net!p01!okepread01.POSTED!bunrab.ronnet.moc!ron Newsgroups: alt.ascii-art From: col...@yahoo.com X-X-Sender: ro...@bunrab.ronnet.moc Reply-To: col...@yahoo.com Subject: Re: request In-Reply-To: <2hj...@uni-berlin.de> Message-ID: <200...@bunrab.ronnet.moc> References: <Xns94F3A7E6C9C5D3141592654@212.27.42.71> <slr...@tarrant.ecs.soton.ac.uk> <40b...@news.individual.net> <2hg...@uni-berlin.de> <200...@bunrab.ronnet.moc> <2hj...@uni-berlin.de> MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII Lines: 35 Date: Wed, 26 May 2004 12:23:00 +0000 NNTP-Posting-Host: 68.104.147.17 X-Complaints-To: abu...@cox.net X-Trace: okepread01 1085601218 68.104.147.17 (Wed, 26 May 2004 15:53:38 EDT) NNTP-Posting-Date: Wed, 26 May 2004 15:53:38 EDT Organization: Cox Communications Xref: controlnews3.google.com alt.ascii-art:314
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