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Leaping/Missing Bat Chess. Large variant on a 16x12 board with many fairy pieces. (16x12, Cells: 192) [All Comments] [Add Comment or Rating]

Charles Gilman wrote on Sun, Jul 27, 2003 09:23 AM UTC:Good ★★★★

The rating is mainly for the analysis of the Dabbaba and Alfil, and indeed
the fact those of each piece of the two armies combined cover the whole
board! On the whole I think that the eight colours would be better than
the 'more complicated arrangement'.
	The analysis of the Bat move is also interesting but there is one
omission. The fact that its leap length is the product of the Knight and
Zebra moves (as 65=5x13) is no coincidence. For any m=a²+b² and n=c²+d²
(all integers, but m and n not necessarily squares),
mn=(ac+bd)²+(ad-bc)²=(ad+bc)²+(ad+bc)². Thus Bat=KnightxZebra as
Camel=KnightxFerz.