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From: Hauke Reddmann on 29 Apr 2010 06:40
I want to find ALL solutions of this to construct a
chess theme impossibility proof, but I don't know how to
sort things.

123456 are six fields on the chess board.
ABCD are four lines (bishop or rook, whatever).
123 lie on A.
16 lie on B.
25 lie on C.
346 lie on D.
A chess piece can move from 1 to 4. (Knight, bishop, rook...)
A chess piece can move from 4 to 2 and from 4 to 5.
A king can move from 5 to 6.

Here is the only "useful" solution I know:

B CD
123 A
**4
*56

Evidently you could move the 1 to where now the A stands
and get a second one.

How do I best organize the search?
--
Hauke Reddmann <:-EX8 fc3a501(a)uni-hamburg.de
Oh must you tell me all your secrets when it's hard enough
to love you knowing nothing?
From: William Elliot on 29 Apr 2010 23:23
On Thu, 29 Apr 2010, Hauke Reddmann wrote:

> I want to find ALL solutions of this to construct a
> chess theme impossibility proof, but I don't know how to
> sort things.
>
Your chess notation and description defy comprehension.

> 123456 are six fields on the chess board.
> ABCD are four lines (bishop or rook, whatever).
> 123 lie on A.
> 16 lie on B.
> 25 lie on C.
> 346 lie on D.

> A chess piece can move from 1 to 4. (Knight, bishop, rook...)
> A chess piece can move from 4 to 2 and from 4 to 5.
> A king can move from 5 to 6.
>
> Here is the only "useful" solution I know:
>
> B CD
> 123 A
> **4
> *56
>
> Evidently you could move the 1 to where now the A stands
> and get a second one.
>
> How do I best organize the search?

From: Don Stockbauer on 29 Apr 2010 23:58
On Apr 29, 10:23 pm, William Elliot <ma...(a)rdrop.remove.com> wrote:
> On Thu, 29 Apr 2010, Hauke Reddmann wrote:
> > I want to find ALL solutions of this to construct a
> > chess theme impossibility proof, but I don't know how to
> > sort things.
>
> Your chess notation and description defy comprehension.
>
>
>
> > 123456 are six fields on the chess board.
> > ABCD are four lines (bishop or rook, whatever).
> > 123 lie on A.
> > 16 lie on B.
> > 25 lie on C.
> > 346 lie on D.
> > A chess piece can move from 1 to 4. (Knight, bishop, rook...)
> > A chess piece can move from 4 to 2 and from 4 to 5.
> > A king can move from 5 to 6.
>
> > Here is the only "useful" solution I know:
>
> > B CD
> > 123 A
> > **4
> > *56
>
> > Evidently you could move the 1 to where now the A stands
> > and get a second one.
>
> > How do I best organize the search?

Just stick to real life. It has the same form as chess, but is
trillions, or possibly even quadrillions of times more complex.
Better workout for the mind.
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