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Experiments in Symmetry. Several experimental games to test whether perfect symmetry makes a game better.[All Comments] [Add Comment or Rating]
Abdul-Rahman Sibahi wrote on Tue, Jun 26, 2007 05:31 PM UTC:
Mulling over things, how about this setup :

10 r n b q k q b n r
9  r n b q q q b n r
8  p p p p p p p p p
7  - - - - - - - - -
6  - - - - - - - - -
5  - - - - - - - - -
4  - - - - - - - - -
3  P P P P P P P P P
2  R N B Q Q Q B N R
1  R N B Q K Q B N R
   
   a b c d e f g h i

or this :

10 r b b q k q b b r
9  r n n q q q n n r
8  p p p p p p p p p
7  - - - - - - - - -
6  - - - - - - - - -
5  - - - - - - - - -
4  - - - - - - - - -
3  P P P P P P P P P
2  R N N Q Q Q N N R
1  R B B Q K Q B B R
   
   a b c d e f g h i

--

If you don't like the five Queens, files d and f could be just removed.

Derek Nalls wrote on Tue, Jun 26, 2007 03:51 PM UTC:
I removed Mormon Chess due to a minor design flaw.

After ZOG implementation, I noticed that both color-changing pieces (i.e., knights) start the game upon spaces of the same color (i.e., light or dark).  Ideally, they should be upon opposite colors for balance.

Although this flaw is not anywhere near as severe as, for example, having both color-bound pieces (i.e., bishops) start the game upon spaces of the same color, it creates a slight imbalance with respect to the ability of both players to threaten or occupy spaces based upon color at the start of the game.

Thanks to Fergus Duniho, notwithstanding.

Derek Nalls wrote on Mon, Jun 25, 2007 04:05 PM UTC:
Mormon Chess
http://www.symmetryperfect.com/shots/Mormon

Push the 'Download Now' button.

Out of curiosity, I implemented this invention by Fergus Duniho for the Zillions Of Games program.  This game and Mirror West Chess are the two best symmetrical alternatives for comparison to standard Chess (in my opinion).

Since this game is not mine, I do not feel at liberty to submit it to the ZOG web site or The Chess Variant Pages for publication, though.  I leave that decision to Fergus Duniho if/when he rejoins us.  Just consider this a demo available only to CV Pages activists (who follow the new comments).

Derek Nalls wrote on Sun, Jun 17, 2007 03:27 PM UTC:
Mirror West Chess
http://www.zillions-of-games.com/cgi-bin/zilligames/submissions.cgi/98798?do=show;id=1429

Derek Nalls wrote on Sun, Feb 11, 2007 01:31 AM UTC:
Large Variants

Mirror West Chess

This game extends the board to 10 files by 8 ranks, giving each player 1
extra queen and 1 extra king.  White's first rank is RNBQKKQBNR and
black's is symmetric to it.  Hence, the name as the western 5 files from
Chess are mirrored and duplicated.  Each player gets 10 pawns.

The 2 kings should be royal on an extinction basis with the loss of the
first king [whichever one] not stopping the game but loss of the second
king causing the loss of the game.  For the purposes of comparison to
Chess, I am displeased with this alteration to the game-ending condition
but I see no way to avoid it while preserving all of the original pieces
with their original opening setup and original numbers as much as
possible.  Notwithstanding, Mormon Chess is arguably a better game for
the purposes of comparison because the game-ending condition is not altered.

Essentially, 'long-side' castlings to both sides would be accommodated,
each involving a different king and rook.

This game could be implemented using the Zillions Of Games program but
not using SMIRF or ChessV due to their intolerance for more than 1 king.

🕸💡📝Fergus Duniho wrote on Thu, Feb 17, 2005 04:56 AM UTC:
<BLOCKQUOTE> I settle upon 'Mormon Chess' as my favorite (although I find its strange name unsettling). </BLOCKQUOTE> <P>Yes, I think that is one of the most promising ones. The first name I thought of was something like Episcopal Bigamous Chess, and then I immediately thought of the Mormons, a religious group well-known for bigamy. I didn't check beforehand if Mormons have bishops, but I just did now, and they do.</P>

Derek Nalls wrote on Thu, Feb 17, 2005 04:25 AM UTC:
'The idea is to change only one factor, asymmetry to symmetry, and
see whether this is an improvement.'
____________________________________

Upon reflection, I agree.  Yes, it is imperative to isolate one variable
to stay on-track with your test objective.  I got distracted by Aronson's
ideas for better games (which have a worthy place elsewhere).

I settle upon 'Mormon Chess' as my favorite
(although I find its strange name unsettling).

I wish its number of board spaces and pieces were closer to the game it
is being tested against, though.

Derek Nalls wrote on Thu, Feb 17, 2005 04:03 AM UTC:
'Although they gain left/right symmetry, for whatever that is worth,
I think it is more important to have one's Bishops on opposite colors.'
_______________________________________________________________________

Your assessment is correct.

Having both bishops trapped in the same spacing (light or dark) is a
serious imbalance (asymmetry) and design flaw.

This is not a correct way to gain left-right (E-W) symmetry.  Fortunately,
it is not unduly difficult to devise a correct way to gain left-right (E-W)
symmetry.

If you gain a treasure chest but its weight sinks your ship, what have
gained ultimately?

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