tag:blogger.com,1999:blog-7269643900637972693.post47346976040047699..comments2011-07-04T18:57:15.179-04:00Comments on News from the Math Wizard: Jim and NimJapheth Woodhttp://www.blogger.com/profile/17314060401914172768noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-7269643900637972693.post-21965192027499187742011-04-22T13:57:10.178-04:002011-04-22T13:57:10.178-04:00@ben - That's right, Jim is the binary represe...@ben - That's right, Jim is the binary representation of Nim. Each Jim row, when read in binary (yellow = 1, red = 0) is the number of teddy bears in the corresponding NIm pile.<br /><br />The Jim strategy is easy (easier?) to understand - it's just a parity argument on the number of yellow chips in each column. I decided that understanding that strategy first, before linking Nim to its binary representation, was the way to go.<br /><br />This still begs the question - why does Nim have this binary strategy? So, while I don't feel like I've shed much light on this question, I'm happy with the sequencing of explaining Nim strategy.The Math Wizardhttps://www.blogger.com/profile/17314060401914172768noreply@blogger.comtag:blogger.com,1999:blog-7269643900637972693.post-11621744095062715352011-04-22T13:19:57.686-04:002011-04-22T13:19:57.686-04:00If I'm understanding the rules of Jim right, t...If I'm understanding the rules of Jim right, then they are actually isomorphic games, yes?Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-7269643900637972693.post-32523596284311223622011-04-22T12:49:28.809-04:002011-04-22T12:49:28.809-04:00Great presentation Japheth! Math IS fun and makes ...Great presentation Japheth! Math IS fun and makes sense! :)La Vozhttps://www.blogger.com/profile/12960244584487165282noreply@blogger.com