TimeSpaceLightForce Posted September 30, 2016 Share Posted September 30, 2016 Alice and the Red Queen travel across the very large Chessboard.They skim together from Square to Square without returning to the same Square.Biginning on a Square, both of them always move faster and farther than the previous tripand always land on the Square Centres..How many Squares have they visited? Link to comment Share on other sites More sharing options...
imatfaal Posted September 30, 2016 Share Posted September 30, 2016 A&RQ.jpg Alice and the Red Queen travel across the very large Chessboard. They skim together from Square to Square without returning to the same Square. Biginning on a Square, both of them always move faster and farther than the previous trip and always land on the Square Centres..How many Squares have they visited? First rough guess - travelling from one side to the opposite side, and travelling only in queen sort of moves, each move being longer distance than the last, and no touching same square twice; which I gather are the rules - I can cover 29 squares as maximum or, of course, 8 as a minimum Link to comment Share on other sites More sharing options...
TimeSpaceLightForce Posted October 1, 2016 Author Share Posted October 1, 2016 @Imatfaal ..not regular queen move is required since they are not in play.Moves are more like skipping from square to square.Not touching any square below along the way. Interesting 29 visited squares (including initial position?) for a queen move!Got a path ? Link to comment Share on other sites More sharing options...
Daecon Posted October 1, 2016 Share Posted October 1, 2016 (edited) Can they pass over squares they've already visited, or just not land on the same square twice? How are diagonals calculated? Can they go in circles or just straight lines? Edited October 1, 2016 by Daecon Link to comment Share on other sites More sharing options...
TimeSpaceLightForce Posted October 1, 2016 Author Share Posted October 1, 2016 @Daecon -Any time-thus cant be trice neither-By P.T.-trajectory curve (center to center of two squares) Link to comment Share on other sites More sharing options...
Daecon Posted October 1, 2016 Share Posted October 1, 2016 Oh, does the Queen move in the same way as the chess piece? I overlooked that the first time. Link to comment Share on other sites More sharing options...
TimeSpaceLightForce Posted October 2, 2016 Author Share Posted October 2, 2016 correcting. @Imatfaal ..not regular queen move is required*since they are not in play.Moves are more like skipping from square to square.Not touching any square below along the way. Interesting 29 visited squares (including initial position?) for a queen move!Got a path ? **allowed queen/pawn move or any other move as long start at one center ..ends on another. Any angle as long as distances keep increasing. Link to comment Share on other sites More sharing options...
bmad Posted October 4, 2016 Share Posted October 4, 2016 I have it as 36 possible moves Link to comment Share on other sites More sharing options...
TimeSpaceLightForce Posted October 5, 2016 Author Share Posted October 5, 2016 @bmadThat's too many for the succeeding trips(moves) to be getting farther than the last one. Link to comment Share on other sites More sharing options...
imatfaal Posted October 6, 2016 Share Posted October 6, 2016 back from a break - will take a good look at this. Please do not post the answer other than in spoiler tags Cannot see how I did 29 moves - should have written it down at the time rather than keeping in my head; maybe I was deluded Spoiler [_spoiler] like this [_/spoiler] remove the leading underscore to use Link to comment Share on other sites More sharing options...
bmad Posted October 13, 2016 Share Posted October 13, 2016 @bmad That's too many for the succeeding trips(moves) to be getting farther than the last one. start.jpg I apologize, What I meant was the queen will travel over a total of 36 squares. [ I don't see the spoiler tag] Link to comment Share on other sites More sharing options...
TimeSpaceLightForce Posted October 16, 2016 Author Share Posted October 16, 2016 (edited) @bmad - there are some same length distances to decide where to turn.. diagonal of [4 x 5] = straight [1 x 6 ] , only one way is counted Edited October 16, 2016 by TimeSpaceLightForce Link to comment Share on other sites More sharing options...
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