From: ssw@csc.umd.edu (Susan Schwartz Wildstrom)
Subject: Re: Star of David Theorem
Date: 25 Mar 1999 16:09:52 -0500
Newsgroups: sci.math
An excellent presentation that included the Genrealized Star of David
Theorem among many interesting results related to Pascal's Triangle was
made in January in San Antonio at the Joint AMS-MAA meeting. The
presenter and researcher is Jean Pedersen of Santa Clara University. Her
(and Roger Hilton's) findings will be published in the College Math
Journal in the May and September 1999 issues. More information may be
available at her website http://www-acc.scu.edu/~jpedersen/
SSW
--
Susan Schwartz Wildstrom
Walt Whitman High School
Bethesda, MD
==============================================================================
From: bobs@rsa.com
Subject: Re: Star of David Theorem
Date: Fri, 26 Mar 1999 16:40:09 GMT
Newsgroups: sci.math
In article <36FA8F01.F5150DC6@hotmail.com>,
"Achava Nakhash, the Loving Snake" wrote:
> At a math conference many years ago, I think it was still called
> the Annual West Coast Number Theory Conference back in those days
It still is.
>, and I
> think it was at Asilomar, a fellow named something like Sin Hitotomatu
> propounded a theorem he called the Star of David Theorem.
I was there. He actually gave a surprisingly simple proof. Hugh Edgar
had given a p-adic proof and had asked about a simpler one. The theorem
had been known previously.
Form a Star of David within Pascal's triangle. This gives two separate
triangles. The theorem says the LCM of the three points in one triangle
equals the LCM of the three points in the other one.
The simple proof showed that LCM(A,B,C) >= LCM(D,E,F) and that
LCM(D,E,F) >= LCM(A,B,C) hence equality must hold. I don't remember any
more details. I could probably reconstruct the proof if you give me time.
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