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Some remarks about the page you prepared:

I am not sure if this is a typo, but in the notation part you use
lower-case 'h' for Hoplite. In general this is a bad idea as it leads to
ambiguities with the file indicators, and WinBoard would not understand the
moves. In the sample game you don't seem to use it at all, but treat the
Hoplites like they are Pawns (which is probably a good idea, but would only
work in WinBoard if the Hoplites were indeed represented by a Pawn type, in
stead of Lance.

As to the two Kings: there actually is a variant that can be played on
Internet Chess Servers such as FICS and ICC which is called TwoKings. The
f-Bishop is replaced by an extra King in the FIDE setup. Despite the equal
armies, the game is not symmetric: tke King that at any time is closest to
a1 (in a raster-scan sense) is royal, the other not.