From: furman@mindspring.com (Furman Smith) Subject: Re: list of Nim variants Date: Tue, 21 Dec 1999 02:20:15 GMT Newsgroups: sci.math,rec.puzzles On Sun, 05 Dec 1999 19:00:25 GMT, "Mythman" wrote: >Is there a list of Nim variants around which are >not solved in a nice closed form? I don't know of a list but one game that would appear is Piet Hein's Nimbi (or Bulo or Tac Tic) which is described in Martin Gardner's HEXAFLEXAGONS AND OTHER MATHEMATICAL DIVERSIONS (which is an updated version of his first book of puzzles and games from SCIENTIFIC AMERICAN). Well, the twelve counter version which has the layout of an equilateral triangle with the three corner pieces removed has been solve. Also the four by four rectangular array has been solved. But that leaves, for examples, the 8 by 8 rectangle and the 4 by 4 by 4 cube and the 4 by 4 by 4 by 4 hypercube. ============================================================================== From: hwatheod@leland.Stanford.EDU (theodore hwa) Subject: Re: list of Nim variants Date: 21 Dec 1999 22:21:29 GMT Newsgroups: sci.math,rec.puzzles Furman Smith (furman@mindspring.com) wrote: : On Sun, 05 Dec 1999 19:00:25 GMT, "Mythman" wrote: : >Is there a list of Nim variants around which are : >not solved in a nice closed form? Try Winning Ways for Your Mathematical Plays by Berlekmap, Conway, Guy (2nd volume is in print; the 1st volume is out of print and seems impossible to get my hands on a personal copy -- library may have one). Also, "Games of No Chance", a collection of articles from an MSRI conference some years back on combinatorial games, probably has a discussion of such games. Ted