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Geometric sequence of Chess Games. Chess variants as large as you want.[All Comments] [Add Comment or Rating]

George Duke wrote on Tue, Feb 22, 2005 10:24 PM UTC:Good ★★★★

'GHI,LargeCV': In sequence 2(to n) x 2(to n), integer n > 0, 8x8 is the
first non-trivial case. It is where we find ourselves today. 'The reader
may (have) found extensive literature about the 8x8 chess game',
featuring mirror-image symmetry.--A. Missoum. With n=4, 16x16: h8,i8,h9,i9
central squares and requisites are for Pawn 1,2,3 initially; Knight as
(4,3)Antelope plus (3,2)Zebra. Where n=5, N is (7,4)Ibex + N + Antelope. 
(n=6) would be quite sufficient. However, exercise covers n=8; for example,
number of Bishops is given by X = (An-1)+2(to n-1) with (An-1) =
(An-2)+2(to n-2), and so on, so that 62+64= 126 Bishops.