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Math Forum » Discussions » sci.math.* » sci.math

Topic: An easy-to-state and hard-to-prove geometric result
Replies: 12   Last Post: Apr 21, 2013 8:00 AM

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G. A. Edgar

Posts: 2,499
Registered: 12/8/04
Re: An easy-to-state and hard-to-prove geometric result
Posted: Apr 20, 2013 9:07 AM
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In article <a0c36328-80c7-4c57-a2b7-89f188d712d7@googlegroups.com>,
<pepstein5@gmail.com> wrote:

> If I understood him correctly (note the if), someone told me that Bill
> Thurston proved that R^3 can be partitioned into disjoint circles. (Of
> course, the number of such circles has to be uncountable.)
> I would be interested to know more about this. Does anyone know a reference?
> Can anyone say anything about the techniques involved in the proof? If the
> statement is wrong, does anyone know the correct statement?
>
> Thank You,
>
> Paul Epstein

See this page:
http://www.cut-the-knot.org/proofs/tessellation.shtml
Hint at the top, solution at the bottom.

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/

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