Re: [pbmserv-dev] Power of Two board .. comments? Improvements?

[Scott Huddleston <scotth@ichips.intel.com>]

>The actual pieces would be reprented by X or O (or x
>or o) in the place of one or more *'s.
>
>Anyone care to compare this to the JPEG and suggest
>improvements?  Did I miss any intersections?  I know I
>couldn't represent all the paths.
>
>Lyman
>
>http://www.gamepuzzles.com/powerof2.htm

>   a b c d e f g h i j k l m
> 1 * - - - * - * - * - - - *
> 2 |     * |   |   | *     |
> 3 |   *   * * | * *   *   |
> 4 | *   * |   *   | *   * |
> 5 * - * - * - * - * - * - *
> 6 |   *   | *   * |   *   |
> 7 * - - * *  PoT  * * - - *
> 8 |   *   | *   * |   *   |
> 9 * - * - * - * - * - * - *
>10 | *   * |   *   | *   * |
>11 |   *   * * | * *   *   |
>12 |     * |   |   | *     |
>13 * - - - * - * - * - - - *

Nice shot at a tough challenge!  Here's a thought that will get a few
more intersections to actually line up.  For the intersections that
don't currently lie on all lines, represent them as a "( )" pair,
so a paren pair really represents one intersection.  This puts one end 
of most paren pairs really on each line it's own.  I get:

>   a b c d e f g h i j k l m
> 1 * - - - * - * - * - - - *
> 2 |   ( ) |   |   | *     |
> 3 |   *   * * | * *   *   |
> 4 | ()  * |   *   | *  () |
> 5 * - * - * - * - * - * - *
> 6 |   ()  | *   * |  ()   |
> 7 * - - * *  PoT  * * - - *
> 8 |   ()  | *   * |  ()   |
> 9 * - * - * - * - * - * - *
>10 | ()  * |   *   | *  () |
>11 |   *   * * | * *   *   |
>12 |     * |   |   | *     |
>13 * - - - * - * - * - - - *

So, e.g., c2 and d2 are the same intersection.  c2 really lies in line
with a1/e3, and d2 really lies in line with e1/c3.

But I don't see anyway to get the f3 intersection really in line with
e3/g4 unless you double the board size.

It's also hard to extend this idea to occupied intersections.

>=====
>__________________________________________________________
> 
>AIDSWalk Atlanta is October 19, 2003.  To contribute or join my team please visi
t:
> 
>http://www.kintera.org/faf/r.asp?t=4&i=26298&u=26298-7531270&e=18763850
>
>
>To unsubscribe, send a message to esquire@gamerz.net with
>	unsubscribe pbmserv-dev@gamerz.net
>as the BODY of the message.  The SUBJECT is ignored.