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Re: Dominoes on a chessboard

by "Colin Barker" <colin.barker@[EMAIL PROTECTED] > Apr 9, 2008 at 04:26 PM

"Chip Eastham" <hardmath@[EMAIL PROTECTED]
> a écrit dans le message de news: 
cdd311bd-ec34-4827-84da-41b4358273ee@[EMAIL PROTECTED]
 we can get both the removed and the
remaining (uniquely tilable) ****tions of the
board to be simply connected.  I'll leave this
as a challenge for now.

Still no idea how to prove that N removed squares
are necessary to provoke the unique tiling...

Chip,

[I don't know why the lines of your last post aren't prefixed with '>'.]

I found the following method of doing this. The diagrams show it better
than 
any written explanation I could give.

Even N:

--++++
+--+++
++--++
++++++
++++++
++++++

--++++++
+--+++++
++--++++
+++--+++
++++++++
++++++++
++++++++
++++++++

Odd N:

--+++
+--++
++-++
+++++
+++++

--+++++
+--++++
++--+++
+++-+++
+++++++
+++++++
+++++++

--
Regards,
Colin
 




 14 Posts in Topic:
Dominoes on a chessboard
"Colin Barker"   2008-03-29 17:32:17 
Re: Dominoes on a chessboard
Virgil <Virgil@[EMAIL   2008-03-29 13:17:54 
Re: Dominoes on a chessboard
Norbert Marrek <egleic  2008-03-29 21:04:03 
Re: Dominoes on a chessboard
"[Mr.] Lynn Kurtz&qu  2008-03-29 21:21:24 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-03-31 15:16:05 
Re: Dominoes on a chessboard
"Colin Barker"   2008-04-01 11:26:17 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-04-02 06:24:48 
Re: Dominoes on a chessboard
"Colin Barker"   2008-04-02 16:35:13 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-04-02 15:28:52 
Re: Dominoes on a chessboard
hagman <google@[EMAIL   2008-04-07 04:37:34 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-04-07 20:01:32 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-04-08 13:17:46 
Re: Dominoes on a chessboard
"Colin Barker"   2008-04-09 16:26:27 
Re: Dominoes on a chessboard
Chip Eastham <hardmath  2008-04-09 08:35:49 

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