Thread: An Idea
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Profpat
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04-06-2008, 06:59 PM
Re: An Idea

Thanks to a link provided by AntonioLao I was able to come up with this image of Borromean Rings. It is the same as my Venn Diagram used in my An Idea.



Standard diagram of the Borromean rings




A realization of the Borromean rings as ellipses




Coat of arms showing padlocks locked in Borromean rings configuration



The Borromean rings give examples of several interesting phenomena in mathematics. One is that the cohomology of the complement supports a non-trivial Massey product. Another is that it is a hyperbolic link: the complement of the Borromean rings in the 3-sphere admits a complete hyperbolic metric of finite volume. The canonical (Epstein-Penner) polyhedral decomposition of the complement consists of two ideal octahedra.

It is also a reported molecular crystal structure, though a bit more complicated. Given that I think it may be the structure of the quarks in my An Idea.



Crystal structure of molecular Borromean rings reported by Stoddart et al. Science 2004, 304, 1308-1312



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Last edited by Profpat; 04-06-2008 at 07:04 PM. Reason: added diagram
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