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. -----------== Posted via Deja News, The Discussion Network ==---------- http://www.dejanews.com/ Search, Read, Discuss, or Start Your Own