tag:blogger.com,1999:blog-3341941751324943000.post8711125218855412071..comments2024-03-25T14:53:54.413+00:00Comments on PuzzleMad: The McGenniss Transpose PuzzleKevinhttp://www.blogger.com/profile/05649523779226834414noreply@blogger.comBlogger8125tag:blogger.com,1999:blog-3341941751324943000.post-10914054467089884992018-02-28T21:55:28.646+00:002018-02-28T21:55:28.646+00:00Got it. Will count accordingly when i play, Thanks...Got it. Will count accordingly when i play, Thanks.mike dnoreply@blogger.comtag:blogger.com,1999:blog-3341941751324943000.post-21171955042423179332018-02-27T07:32:31.485+00:002018-02-27T07:32:31.485+00:00"of a piece""of a piece"Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3341941751324943000.post-81794786940835069262018-02-27T07:31:31.422+00:002018-02-27T07:31:31.422+00:00For the avoidance of doubt, one move is here defin...For the avoidance of doubt, one move is here defined by the sliding over a piece over one "square".Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3341941751324943000.post-78209640654831559102018-02-26T13:33:05.286+00:002018-02-26T13:33:05.286+00:00I am very grateful indeed! Its really great to hav...I am very grateful indeed! Its really great to have a second opinion, and a mathematical one at that. The Puzzlemad staff are a bit challenged in that area I'm afraid. <br /><br />I think I tried the 82 move version back when I was first playing with it. Seemed shorter at the time, but that could just be me. I'll try again and this time count the moves. Thanks very much for stepping up and contributing some much needed rigor. mike dnoreply@blogger.comtag:blogger.com,1999:blog-3341941751324943000.post-77405855915992829852018-02-26T13:15:27.839+00:002018-02-26T13:15:27.839+00:00Amazing! I wish I had these skills!Amazing! I wish I had these skills!Kevinhttps://www.blogger.com/profile/05649523779226834414noreply@blogger.comtag:blogger.com,1999:blog-3341941751324943000.post-13935156163268247592018-02-26T12:19:14.395+00:002018-02-26T12:19:14.395+00:00Just programming fun.
A good, tricky one is:
X X...Just programming fun.<br /><br />A good, tricky one is:<br /><br />X X X W X X X X <br />W W W o o W W X<br />- - - o - - - - <br />X B B o o B B B <br />X X X X B X X X<br /><br />which takes 94 moves that look rather non-trivial.<br /><br />And by the way the simpler:<br /><br />X X X W X X X X <br />X W W o o W W X<br />X - - o - - - X <br />X B B o o B B X <br />X X X X B X X X<br /><br />is solvable and takes 68 moves.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-3341941751324943000.post-51137635977123150952018-02-26T11:39:22.211+00:002018-02-26T11:39:22.211+00:00My goodness! That is a fantastic analysis! I'm...My goodness! That is a fantastic analysis! I'm seriously impressed. <br />How did you do that? By hand? Or did you program a computer to do it?<br /><br />Thank you so much for that. I'm sure that Mike will also be very grateful.Kevinhttps://www.blogger.com/profile/05649523779226834414noreply@blogger.comtag:blogger.com,1999:blog-3341941751324943000.post-32864441070957406632018-02-26T11:25:48.178+00:002018-02-26T11:25:48.178+00:00If the exhaustive programming went right...
The M...If the exhaustive programming went right...<br /><br />The McGennis puzzle admits no solution!<br /><br />If you shorten the longest divider between the pieces from a length of 4 to a length of 3, still only allowing orthogonal slides, i.e. going from:<br /><br />X X X W X X X X <br />W W W o o W W W<br />- - - o - - - - <br />B B B o o B B B <br />X X X X B X X X <br /><br />to:<br /><br />X X X W X X X X <br />W W W o o W W W<br />- - - o o - - - <br />B B B o o B B B <br />X X X X B X X X <br /><br />then you have a solution in 82 moves.<br /><br />Funnily, if you shorten one of the 2 double rows of 3 pieces to 2, like this:<br /><br />X X X W X X X X <br />W W W o o W W X<br />- - - o - - - X <br />B B B o o B B X <br />X X X X B X X X<br /><br />then you have a solution in 88 moves.<br /><br />Another way to make the puzzle work is to lengthen the board in the following way:<br /><br />X X X W X X X X X<br />W W W o o o W W W<br />- - - o - - - - - <br />B B B o o o B B B<br />X X X X B X X X X<br /><br />and it will take you 118 moves to solve it.<br />Anonymousnoreply@blogger.com