Welcome, Guest. Please Login or Register.
May 9th, 2024, 3:48am

Home Home Help Help Search Search Members Members Login Login Register Register
Arimaa Forum « Reverse puzzles and impossible positions »


   Arimaa Forum
   Arimaa
   General Discussion
(Moderator: supersamu)
   Reverse puzzles and impossible positions
« Previous topic | Next topic »
Pages: 1 2 3  Reply Reply Notify of replies Notify of replies Send Topic Send Topic Print Print
   Author  Topic: Reverse puzzles and impossible positions  (Read 4017 times)
ocmiente
Forum Guru
*****




Arimaa player #3996

   
WWW

Gender: male
Posts: 194
Re: Reverse puzzles and impossible positions
« Reply #15 on: May 24th, 2010, 8:18pm »
Quote Quote Modify Modify

No, I don't think so.  
 
There is another...  and another...  (just two main others that I can think of.  Try starting the elephant at e6 or something else at d5
 
<EDIT>
 
Oh... wait.. forgot about that cat... just a minute...
 
<EDIT>  
 
I think you're right...
« Last Edit: May 24th, 2010, 8:25pm by ocmiente » IP Logged

Isaac Grosof
Forum Guru
*****



Longtime Arimaa Fan

   


Gender: male
Posts: 175
Re: Reverse puzzles and impossible positions
« Reply #16 on: May 24th, 2010, 8:22pm »
Quote Quote Modify Modify

Yeah, that cat is vital. I still think it's unique.
IP Logged

Sorry about that one thing.
Fritzlein
Forum Guru
*****



Arimaa player #706

   
Email

Gender: male
Posts: 5928
Re: Reverse puzzles and impossible positions
« Reply #17 on: May 25th, 2010, 6:58am »
Quote Quote Modify Modify

on May 24th, 2010, 5:33pm, FireBorn wrote:
I don't think this one's possible:
 
Code:

 +-----------------+  
8| . . . . . . . . |  
7| . . . . . . . . |  
6| . . x . . x . . |  
5| R R r R R r R R |  
4| r r R r r R r r |  
3| . . x . . x . . |  
2| . . . . . . . . |  
1| . . . . . . . . |  
 +-----------------+  
   a b c d e f g h

It looks possible with a c-file or f-file rabbit having been pushed into position to complete the two rabbit lines, and then the piece(s) that enabled the push committing suicide.
 
<EDIT>
Oh, maybe not, because there must have been a friendly piece keeping the rabbit safe on the trap before the push, and then there is no place for that piece to suicide later.  Subtle point!
« Last Edit: May 25th, 2010, 7:17am by Fritzlein » IP Logged

Fritzlein
Forum Guru
*****



Arimaa player #706

   
Email

Gender: male
Posts: 5928
Re: Reverse puzzles and impossible positions
« Reply #18 on: May 25th, 2010, 7:12am »
Quote Quote Modify Modify

on May 24th, 2010, 8:22pm, 722caasi wrote:
Yeah, that cat is vital. I still think it's unique.

I, too, can't find a second solution.  Nice puzzle, thanks!  But Silver could also have bought about the terminal position in many ways, so technically Gold's last move could have been many, many different things if it was Silver who ended the game.  I guess the question, "What did Gold just play?" implies that Gold "just" played, meaning Silver hasn't any time to play since then, but to leave no room for pedantic quibbling, one might instead frame the question as, "Gold made this game's last move.  What was it?"
IP Logged

Hippo
Forum Guru
*****




Arimaa player #4450

   


Gender: male
Posts: 883
Re: Reverse puzzles and impossible positions
« Reply #19 on: May 25th, 2010, 11:26am »
Quote Quote Modify Modify

I have counted 216222 solutions to the Rd8 ee8 cd6 puzzle (not counting the order of steps).
 
The last puzzle has the only solution, switched all pieces cannot be achieved and two switched rows of rabbits except the f,c ones as well.
« Last Edit: May 25th, 2010, 11:44am by Hippo » IP Logged

FireBorn
Forum Guru
*****



Arimaa player #1832

   


Gender: male
Posts: 123
Re: Reverse puzzles and impossible positions
« Reply #20 on: May 25th, 2010, 12:54pm »
Quote Quote Modify Modify

I don't think this one's possible either:
 
Code:

 +-----------------+    
8| . . . . . . . . |    
7| . . D . . H . . |    
6| . d x . . x h . |    
5| . . . . . . . . |    
4| . . . . . . . . |    
3| . m x . . x c . |    
2| . . M . . C . . |    
1| . . . . . . . . |    
 +-----------------+    
   a b c d e f g h  
IP Logged
FireBorn
Forum Guru
*****



Arimaa player #1832

   


Gender: male
Posts: 123
Re: Reverse puzzles and impossible positions
« Reply #21 on: May 25th, 2010, 1:02pm »
Quote Quote Modify Modify

Neither is this one:
Code:

 +-----------------+    
8| . . . . . . . R |    
7| . . . . . . . . |    
6| . . x . . x . . |    
5| . . . . . . . . |    
4| . . . . . . . . |    
3| . . x . . x . . |    
2| . . . . . . . . |    
1| r . . . . . . . |    
 +-----------------+    
   a b c d e f g h  

 
This one is possible:
Code:

 +-----------------+    
8| . . . . . . . R |    
7| . . . . . . . . |    
6| . . x . . x . . |    
5| . . . . . . . . |    
4| . . . . . . . . |    
3| . . x . . x . . |    
2| . . . . . . . . |    
1| . . r . . . . . |    
 +-----------------+    
   a b c d e f g h  

 
But this one is not:
Code:

 +-----------------+    
8| . . . . . . . R |    
7| . . . . . . . . |    
6| . . x . . x . . |    
5| . . . . . . . . |    
4| . . E . . . . . |    
3| . . x . . x . . |    
2| . . . . . . . . |    
1| . . r . . . . . |    
 +-----------------+    
   a b c d e f g h  

 
Nor this one:
Code:

 +-----------------+    
8| . . . . . . . R |    
7| . . . . . . . . |    
6| . . x . . x . . |    
5| . . . . . . . . |    
4| . . . . . . . . |    
3| . . x . . x . . |    
2| . . C . . C . . |    
1| . . r . . r . . |    
 +-----------------+    
   a b c d e f g h  
« Last Edit: May 25th, 2010, 1:03pm by FireBorn » IP Logged
FireBorn
Forum Guru
*****



Arimaa player #1832

   


Gender: male
Posts: 123
Re: Reverse puzzles and impossible positions
« Reply #22 on: May 25th, 2010, 1:25pm »
Quote Quote Modify Modify

I'm trying to come up with one involving immobilization but for the life of me I can't
IP Logged
Hippo
Forum Guru
*****




Arimaa player #4450

   


Gender: male
Posts: 883
Re: Reverse puzzles and impossible positions
« Reply #23 on: May 26th, 2010, 8:50am »
Quote Quote Modify Modify

Twin puzzles:
 
That was a strange game.That was a strange game.
Now it's Silver's turn and Silver is winning.Now it's Gold turn and Gold is winning.
Explain why.Explain why.

 
Would the solution differ for the other players turn?
« Last Edit: May 26th, 2010, 10:28am by Hippo » IP Logged

leo
Forum Guru
*****





   


Gender: male
Posts: 278
Re: Reverse puzzles and impossible positions
« Reply #24 on: May 26th, 2010, 9:17am »
Quote Quote Modify Modify

You guys sure are inventive! Cheesy
 
Hippo: that last one of yours is most strange, whose turn is it?
EDIT: OK, you updated your post. I'll try to solve the puzzles.
 
FireBorn: yeah, immobilizations and forced moves should give some good puzzles
 
Fritzlein: retrograde analysis, will remember the term ^^
 
722caasi: because of my upcoming web domain change the board picture urls will soon become invalid. you can either save them and upload them on imageshack or such -- or change the urls when the transfer is done: see this thread
« Last Edit: May 26th, 2010, 10:09am by leo » IP Logged
FireBorn
Forum Guru
*****



Arimaa player #1832

   


Gender: male
Posts: 123
Re: Reverse puzzles and impossible positions
« Reply #25 on: May 26th, 2010, 12:46pm »
Quote Quote Modify Modify

@Hippo:
 
My understanding of the repeat-rules is fuzzy, but I think in the first one Silver is winning because he can shuffle his f8 rabbit back and forth while Gold has to keep coming up with new board positions, meaning his h6 rabbit will eventually have to move to g6, freeing Silver's cat, and once it's free Silver can block off that corner of the board with his rabbits and decimate Gold's rabbits with his cat.
 
Similar situation if it's Gold to move, except silver will be forced to move a rabbit out of the way, allowing Gold to goal next move.
IP Logged
Hippo
Forum Guru
*****




Arimaa player #4450

   


Gender: male
Posts: 883
Re: Reverse puzzles and impossible positions
« Reply #26 on: May 26th, 2010, 2:24pm »
Quote Quote Modify Modify

Try to show possible last moves preceding the position.
 
They are more natural for the case Silver is winning. And a bit confusing for the case Gold is winning.
« Last Edit: May 26th, 2010, 2:24pm by Hippo » IP Logged

Isaac Grosof
Forum Guru
*****



Longtime Arimaa Fan

   


Gender: male
Posts: 175
Re: Reverse puzzles and impossible positions
« Reply #27 on: May 26th, 2010, 2:34pm »
Quote Quote Modify Modify

Hippo: The last move could just have been a suicide. What does that imply?
IP Logged

Sorry about that one thing.
RonWeasley
Forum Guru
*****




Harry's friend (Arimaa player #441)

   


Gender: male
Posts: 882
Re: Reverse puzzles and impossible positions
« Reply #28 on: May 26th, 2010, 3:27pm »
Quote Quote Modify Modify

These are great!
IP Logged
Hippo
Forum Guru
*****




Arimaa player #4450

   


Gender: male
Posts: 883
Re: Reverse puzzles and impossible positions
« Reply #29 on: May 26th, 2010, 10:20pm »
Quote Quote Modify Modify

on May 26th, 2010, 2:34pm, 722caasi wrote:
Hippo: The last move could just have been a suicide. What does that imply?

OK, nice solution to both problems as they are stated. May be explaination of the winning strategy would help Smiley.
« Last Edit: May 27th, 2010, 1:15am by Hippo » IP Logged

Pages: 1 2 3  Reply Reply Notify of replies Notify of replies Send Topic Send Topic Print Print

« Previous topic | Next topic »

Arimaa Forum » Powered by YaBB 1 Gold - SP 1.3.1!
YaBB © 2000-2003. All Rights Reserved.