Drexel dragonThe Math ForumDonate to the Math Forum


Math Forum
 Ask Dr. Math
 Discussions
 Internet Newsletter
 MathTools
 Problems of the Week
 Teacher2Teacher
 Teacher Exchange
 Workshops

Search All of the Math Forum:
Browse our Internet Mathematics Library

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


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

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

Advanced Search
Reply to this Topic Reply to this Topic

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
G. A. Edgar

Posts: 2,494
Registered: 12/8/04
Re: An easy-to-state and hard-to-prove geometric result
Posted: Apr 20, 2013 9:07 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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/

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.