Re: KLEIN BOTTLE.
C.C. (cco...@fas.harvard.edu) wrote:
: Odds are you haven't seen one. Just like it take us three dimensions to
: visualize a Mobius strip, it takes 4 dimensions to visualize a klein bottle
: (even though it is 3 dimensions.
Well, I'd say we can "see" 4-dimensional objects just as well as we "see"
3-dimensional ones. Of course what our eyes give us are 2d projections of
the objects, from which our brains can construct a model of the actual
multidimensional shape. (significantly harder in 4d than in 3d, but not
impossible)
--
Ilmari Karonen (ilt...@sci.fi) http://www.sci.fi/~iltzu/
"Moebius Strip: See instructions on other side."
Original message headers
X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 109d8a,ff737e889c3b32cf X-Google-Attributes: gid109d8a,public X-Google-Thread: f996b,ff737e889c3b32cf X-Google-Attributes: gidf996b,public From: ilt...@sci.fi (Ilmari Karonen) Subject: Re: KLEIN BOTTLE. Date: 1998/07/11 Message-ID: <6o7ib0$gsu$1...@tron.sci.fi>#1/1 X-Deja-AN: 370460691 Distribution: world References: <6nhlvv$hhu$1...@cantuc.canterbury.ac.nz> <6nj1ti$qdf$2...@news-2.news.gte.net> <6o2b28$t3...@hpwin055.uksr.hp.com> <6o3brn$sit$1...@news.fas.harvard.edu> Followup-To: alt.ascii-art,sci.math Organization: (dis)Order of the Holy Spoon (or whatever) Newsgroups: alt.ascii-art,sci.math
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