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I continued to analyze, test and speculate about the relative value of
Spartan Chess pieces when Mr. Muller wrote:
------------------------
“As to the piece values: I did several tests, and came out approximately
as
I expected:
*) C ~ N
*) G+C > Q
*) G <~ B+B+P
*) K > B+P
*) K <~ R”
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Note:
C=Captain, G=General, K=Spartan King
and of course
N=Knight, Q=Queen, B=Bishop, P=pawn
My thoughts using these values:
pawn= 1
Knight=3
Bishop= 3.25
Rook=5
Queen=9
I take only some liberties, I believe, and arrive at this....
Captain
C ~ N
therefore C ~ 3
or C = 3
General
G <~ B+B+P (3.25+3.25+1=7.5) therefore G <~ 7.5
G + C (?+3) > Q (9) therefore G > 6
therefore G ~ 7.25
Related note Sarratt 1813 put rook at 5 and king at 2.2
Extra Spartan King and providing immunity from simple check
K > B+P (3.25+1=4.25)
K <~ R (5)
therefore 5 >~ K > 4.25
therefore K is more than 4.25 and about or a bit less than 5
therefore K is around 4.75
Warlord
With Q=9 we are figuring a value of around 8.25 for the Warlord if I am not
mistaken.
Synopsis
C = 3
G = 7.25
K = 4.75
W = 8.25
Well, not mathematically perfect but these numbers do square with my
feelings. To the extent these figures are useful this leaves the matter of
the Lieutenant and the hoplite.
Lieutenant
My guts have told me this figure is worth around 3.1 to 3.2 points and I
have absolutely nothing substantial to back this up. Perhaps a lower value
is justified.
hoplite
I ran some tests with 8 pawns + King vs. 8 hoplites + King and the pawns
get the better of the game. The pawns are usually able to breakthrough and
promote first. I am about to put some of the minor pieces back into the
game and expect the hoplites do better in the context of being supported by
their jumping Spartan minor pieces. What I have observed in an end game;
with only few pieces and a few pawns and hoplites on the board, the
hoplites fare better. In general, the emptier the board the stronger the
hoplites become with their superior mobility and threat to promote.