Newsgroups: comp.theory.cell-automata Path: utzoo!utgpu!news-server.csri.toronto.edu!rpi!zaphod.mps.ohio-state.edu!think.com!snorkelwacker.mit.edu!bloom-beacon!dont-send-mail-to-path-lines From: rwg@RUSSIAN.SPA.Symbolics.COM (Bill Gosper) Subject: Re: on Life (and Death) Message-ID: <19910328224539.9.RWG@TSUNAMI.SPA.Symbolics.COM> Sender: tytso@athena.mit.edu (Theodore Y. Ts'o) Organization: The Internet References: <19910328162012.4.ACW@PALLANDO.SCRC.Symbolics.COM> Distribution: inet Date: 28 Mar 91 22:45:00 GMT Lines: 35 I've forwarded this to rcs@la.tis.com. Date: Thu, 28 Mar 1991 11:20-0500 From: Allan C. Wechsler Date: Wed, 27 Mar 1991 12:51 EST From: Paul Crowley What's the simplest known pattern that has no parent? Winning Ways p. 829 gives: xxxxxxxxxxxxxx xxxxxxxxxxxxxxxxxx x x x x x x xxxx xx xxx xxx xx xx xxxxxxxxxxxxx x x xxx xxx xxx xx x x x x x x xx xxxxx xxx xxx xxxx x x x x x x xxx x xxx xxx xx x x xxxxxxxxxxxxxx xxxx xxx xxx xxxxx x x x x x x xxx xxxx xxx xxx x x x x x x x x x x x xx xxx xxx x xx xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx I understand Schroeppel was in the group that discovered this; I don't know his net address but I've CC'd Gosper and perhaps he'd be willing to forward to Schroeppel our request to hear the story of this monster's discovery. I think Roger Banks wrote the "ataviser" program, and some subset of Banks, Schroeppel, Mike Speciner, and Mike Beeler "manually" guided a marathon tree search. About a year and a half ago, Schroeppel and Hickerson found a bunch of patterns with very small predecessor counts. These are used as modules in existence proofs for GOE's within various rectangles, some quite cozy. Rich should know the current record.