From: mathwft@math.canterbury.ac.nz (Bill Taylor)
Newsgroups: sci.math
Subject: Pseudo-paradox recalling BANACH-TARSKI.
Date: 6 Sep 1997 02:39:46 GMT
This lovely thing is too hard to reproduce in ascii, so I urge you all to
have a look at the article it came in...
Mathematical Intelligencer; vol 19, #3, page 66.
It is a lovely article, with illustrations, showing a partition of the
hyperbolic plane, H, such that
H = A u B u C;
A, B, C are all congruent; but
A is congruent to B u C.
Very neat! As the authors observe, it is reminiscent of the B-T paradox,
but altogether quite different, in that the sets are measurable, specific,
and in fact fairly straightforward.
It's a beauty!
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Bill Taylor W.Taylor@math.canterbury.ac.nz
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Any sufficiently primitive magic is indistinguishable from science.
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