wu :: forums
« wu :: forums - Maximum Possibe Number of Moves (Chess) »

Welcome, Guest. Please Login or Register.
Dec 24th, 2024, 10:31pm

RIDDLES SITE WRITE MATH! Home Home Help Help Search Search Members Members Login Login Register Register
   wu :: forums
   riddles
   medium
(Moderators: towr, Grimbal, william wu, ThudnBlunder, Icarus, Eigenray, SMQ)
   Maximum Possibe Number of Moves (Chess)
« Previous topic | Next topic »
Pages: 1  Reply Reply Notify of replies Notify of replies Send Topic Send Topic Print Print
   Author  Topic: Maximum Possibe Number of Moves (Chess)  (Read 1437 times)
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
*****




The dewdrop slides into the shining Sea

   


Gender: male
Posts: 4489
Maximum Possibe Number of Moves (Chess)  
« on: Nov 12th, 2004, 12:40pm »
Quote Quote Modify Modify


Construct a chess position with as many legal moves as possible.
 
IP Logged

THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
John_Gaughan
Uberpuzzler
*****



Behold, the power of cheese!

5187759 5187759   john23874   SnowmanJTG
WWW Email

Gender: male
Posts: 767
Re: Maximum Possibe Number of Moves (Chess)  
« Reply #1 on: Nov 12th, 2004, 10:28pm »
Quote Quote Modify Modify

Is that total moves, for both sides, or for an arbitrary side whos turn is next?
IP Logged

x = (0x2B | ~0x2B)
x == the_question
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
*****




The dewdrop slides into the shining Sea

   


Gender: male
Posts: 4489
Re: Maximum Possibe Number of Moves (Chess)  
« Reply #2 on: Nov 13th, 2004, 12:02am »
Quote Quote Modify Modify

on Nov 12th, 2004, 10:28pm, John_Gaughan wrote:
Is that total moves, for both sides, or for an arbitrary side whos turn is next?

The latter.
IP Logged

THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
towr
wu::riddles Moderator
Uberpuzzler
*****



Some people are average, some are just mean.

   


Gender: male
Posts: 13730
Re: Maximum Possibe Number of Moves (Chess)  
« Reply #3 on: Nov 14th, 2004, 2:29am »
Quote Quote Modify Modify

Must it be a setup that is reachable from the starting position, or does anything go?
IP Logged

Wikipedia, Google, Mathworld, Integer sequence DB
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
*****




The dewdrop slides into the shining Sea

   


Gender: male
Posts: 4489
Re: Maximum Possibe Number of Moves (Chess)  
« Reply #4 on: Nov 14th, 2004, 4:44am »
Quote Quote Modify Modify

on Nov 14th, 2004, 2:29am, towr wrote:
Must it be a setup that is reachable from the starting position, or does anything go?

Let's say the former, as otherwise it would be an illegal position.
 
« Last Edit: Nov 14th, 2004, 4:57am by ThudnBlunder » IP Logged

THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
*****




The dewdrop slides into the shining Sea

   


Gender: male
Posts: 4489
Re: Maximum Possibe Number of Moves (Chess)   144_Legal_Moves.jpg
« Reply #5 on: Dec 12th, 2004, 8:09am »
Quote Quote Modify Modify

As there have been no bids, I may as well put this one to bed.  
In the position below White has 144 possible moves.  
 
 
IP Logged


THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
Three Hands
Uberpuzzler
*****





    Reucserru+Oymai


Gender: male
Posts: 715
Re: Maximum Possibe Number of Moves (Chess)  
« Reply #6 on: Dec 13th, 2004, 7:01am »
Quote Quote Modify Modify

I assume that you are ignoring reversible moves interspaced after every 49th with a pawn moving forwards (or some other unreversible move) (assuming I've remembered the rules correctly in terms of repeating the same set of moves 50 times results in a draw), since it would otherwise be trivial to outdo your current claim through reaching the same position by a slightly longer route Roll Eyes
IP Logged
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
*****




The dewdrop slides into the shining Sea

   


Gender: male
Posts: 4489
Re: Maximum Possibe Number of Moves (Chess)  
« Reply #7 on: Dec 13th, 2004, 8:21am »
Quote Quote Modify Modify

on Dec 13th, 2004, 7:01am, Three Hands wrote:
I assume that you are ignoring reversible moves interspaced after every 49th with a pawn moving forwards (or some other unreversible move) (assuming I've remembered the rules correctly in terms of repeating the same set of moves 50 times results in a draw), since it would otherwise be trivial to outdo your current claim through reaching the same position by a slightly longer route Roll Eyes

Three Hands, you seem to be misunderstanding the question.  
You must be referring to the maximum possible length of a game, but seem to be confounding the 50-move rule with the draw-by-repetition rule.  
 
Just as there are 20 possible opening moves to a game of chess, in the above position White has 144 possible moves. (Anyway, thanks for showing some interest.)
 
« Last Edit: Dec 15th, 2004, 4:54am by ThudnBlunder » IP Logged

THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
Three Hands
Uberpuzzler
*****





    Reucserru+Oymai


Gender: male
Posts: 715
Re: Maximum Possibe Number of Moves (Chess)  
« Reply #8 on: Dec 15th, 2004, 4:00am »
Quote Quote Modify Modify

Oh, right, my mistake Cry
 
Given I've got some free time coming up, I might see what I can do with the puzzle, now I've understood what the question is (I hope...)
IP Logged
Pages: 1  Reply Reply Notify of replies Notify of replies Send Topic Send Topic Print Print

« Previous topic | Next topic »

Powered by YaBB 1 Gold - SP 1.4!
Forum software copyright © 2000-2004 Yet another Bulletin Board