Author |
Topic: Putting All Your Pawns in a Row (Read 374 times) |
|
Quetzycoatl
Newbie
Gender: 
Posts: 46
|
 |
Putting All Your Pawns in a Row
« on: Jan 5th, 2004, 11:29am » |
 Quote  Modify
|
Assuming you have the cooperation of your opponent, but still abiding all the rules of Chess:
What is the greatest number of your pawns you get into one column at any one time?
What is the greatest number of yours and your opponents pawns that can end up in two columns?
|
|
 IP Logged |
|
|
|
Barukh
Uberpuzzler
Gender:
Posts: 2276
|
|
Re: Putting All Your Pawns in a Row
« Reply #1 on: Jan 6th, 2004, 5:27am » |
Quote Modify
|
on Jan 5th, 2004, 11:29am, Quetzycoatl wrote:Assuming you have the cooperation of your opponent, but still abiding all the rules of Chess:
What is the greatest number of your pawns you get into one column at any one time? |
|
Theoretically, it's 6 (no pawn is on the first line; no pawn is on the last line), and it can be done quite easily make it on the "d" line, sacrifying 11 black pieces and a couple of white pieces.
|
|
IP Logged |
|
|
|
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
The dewdrop slides into the shining Sea
Gender:
Posts: 4489
|
|
Re: Putting All Your Pawns in a Row
« Reply #2 on: Jan 6th, 2004, 6:12am » |
Quote Modify
|
Quote:| and it can be done quite easily |
|
For the first part, 9 captures are required - not so difficult.
But 6 pawns on the rook's file requires 15 captures.
That's probably not so easy to arrange.
|
| « Last Edit: Jan 7th, 2004, 3:26am by ThudnBlunder » |
IP Logged |
THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
|
|
|
Barukh
Uberpuzzler
Gender:
Posts: 2276
|
|
Re: Putting All Your Pawns in a Row
« Reply #3 on: Jan 7th, 2004, 1:16am » |
Quote Modify
|
on Jan 6th, 2004, 6:12am, THUDandBLUNDER wrote:
For the first part, 9 captures are required - not so difficult. |
|
You are right, I don’t know why I thought it’s 11. 
Quote:But 6 pawns on the rook's file requires 15 captures.
That's probably not so easy to arrange. |
|
Is it possible? What is wrong with the following argument (assuming pawns arrange at the “a” column)
[smiley=blacksquare.gif]
1. All black pieces – except the king, obviously – must be captured.
2. All the captures (of black pieces) take place in the triangular area e3-a3-a7.
3. At every square in this area, exactly one capture happens.
4. To be captured, black pawns f7, g7, h7 must capture at least 8 white pieces.
5. White pawns g, h cannot be captured; so there are not enough white pieces to be sacrified.
[smiley=blacksquare.gif]
|
| « Last Edit: Jan 7th, 2004, 1:16am by Barukh » |
IP Logged |
|
|
|
ThudnBlunder
wu::riddles Moderator
Uberpuzzler
The dewdrop slides into the shining Sea
Gender:
Posts: 4489
|
|
Re: Putting All Your Pawns in a Row
« Reply #4 on: Jan 7th, 2004, 4:14am » |
Quote Modify
|
Quote:| What is wrong with the following argument |
|
Barukh, I agree with your analysis - as far as it goes.
However, the Black king-side pawns can promote to another piece and then sacrifice themselves.
Quetzalcoatl's second puzzle seems more difficult.
|
| « Last Edit: Jan 7th, 2004, 11:59am by ThudnBlunder » |
IP Logged |
THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
|
|
|
rmsgrey
Uberpuzzler
    
Gender:
Posts: 2873
|
|
Re: Putting All Your Pawns in a Row
« Reply #5 on: Jan 8th, 2004, 7:21am » |
Quote Modify
|
Also, the black h-pawn can capture the white g-pawn as one of the 8 captures
|
|
IP Logged |
|
|
|
|
RIDDLES SITE
WRITE MATH!
Home 
Help 
Search 
Members 
Login 
Register
Reply
Notify of replies
Send Topic
Print