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To: LibWhacker
The article posted was clearly written by someone who didn't understand the findings. The claim of Weeks et al is not that the space forms a finite dodecahedron (with a boundary consisting of 12 pentagons), but that it forms a copy of the Poincare dodecahedral space (also known as the Poincare homology sphere): the result of starting with a dodecahedron oriented so 'north' goes through the center of one face, and gluing each face in the northern half to the face in southern half that becomes opposite to it when the northern half is given a 1/5 twist.

The result of is finite volume, but has no boundary. (Just like the surface of a sphere has no bounding edge, but is of finite area, but up one dimension.)

Here's a link to an article in the Notices of the American Mathematical Society with more details.

11 posted on 09/28/2008 12:47:28 PM PDT by The_Reader_David (For real change stop electing lawyers: Fighter-Pilot/Hockey-Mom '08.)
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To: The_Reader_David

Just now saw your comment. Somehow missed it earlier. Thanks for the additional information and link!


22 posted on 09/28/2008 1:14:27 PM PDT by LibWhacker
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To: The_Reader_David; SunkenCiv; neverdem; Physicist; RightWhale
Like, *PING*, dudes.

David, thanks, bookmarked for later.

Cheers!

41 posted on 09/28/2008 7:29:32 PM PDT by grey_whiskers (The opinions are solely those of the author and are subject to change without notice.)
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To: The_Reader_David

Do you have another link? That link came up “unavailable on this server.”


46 posted on 09/28/2008 8:49:17 PM PDT by ottbmare
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