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?

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

@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 ?

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, 20169 yr by Daecon

@Daecon

-Any time
-thus cant be trice neither
-By P.T.
-trajectory curve (center to center of two squares)

Oh, does the Queen move in the same way as the chess piece? I overlooked that the first time.

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.

I have it as 36 possible moves

@bmad
That's too many for the succeeding trips(moves) to be getting farther than the last one.

 

 

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

@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]

@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, 20169 yr by TimeSpaceLightForce