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Little GolemMake your next move.

Longest Possible Game Length?

Public forum discussion.

Einstein

#1 · Dvd Avins

3 May 2011

Has anyone calculated the maximum possible number of moves in a single EWF (standard rules) game? The minimum, of course, is five.

#2 · kfiecio

3 May 2011

I found game with 69 moves so lower bound for longest game is 69. I don't think that someone can find longer game. Since I chose longest path for every dice.

#3 · maraca

3 May 2011

I confirm 69 as longest possible solution.

#4 · kfiecio

3 May 2011

I try to describe the 35 moves for first player

1) You move all your dices in the a column by 2 in your b column by 3 and in c column by 1 up. It is 13 moves in total.

2) Move your dices in row 1 by two to the left and fill the empty cells similarly to step 1. It is 7 moves

3) Now we move the dices in 1 row in the way that c1 goes to d1 and capture dice there same for b1, a1 and a2. It is 10 moves

4) Now we move the dice on c4 to e4 and from e4 to e2. It is 4 moves.

After that in the 35 move we have to reach the corner e1 since we have only two dices on e2 and d1.

Opponent makes symmetric moves.

#5 · kfiecio

3 May 2011

How about "anti-einstein" (You lose when you reach opponents starting corner). It might be an interesting variant. What do you think?

#6 · KPT

3 May 2011

much of the luck-factor

i think....or im wrong?

#7 · FatPhil

4 May 2011

The proof of maximality is simple. 3 of the die can move 5 moves before winning. 2 more can move 6 moves without winning, 1 can move 7 without winning. So you can move 34 times without winning as long as you never step on yourself, and never move a diagonal.

Ingo informs us that, strategically, misere is a tedious variant. I'm inclined to believe him.

#8 · MarleysGhost

4 May 2011

They're called dice? Surely we'd reduce confusion and ambiguity by denoting the white thing with one or more black dots as a 'die' and the blue and red things as 'stones' or 'pieces'.

#9 · Dvd Avins

4 May 2011

When I've taught the game with times at hand, I used playing cards for the 'stones'. (Yes, they're called dice in the rules I've seen.)

#10 · FatPhil

4 May 2011

I indeed use cards for the pieces IRL, but I call these pieces 'dice'. Hmmm...