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Ben Reiniger wrote on 2018-03-25 UTC

Yes, that's right.  That fact (and that kings cannot reach corners, and that K+R cannot force mate against k) is pointed out in Pritchard's Classified Encyclopedia.  Also mentioned there are some variants, which are available here under the Related menu as Friedlander's Java applets: Displaced Grid Chess, wherein the grids are moved one rank and one file resulting in the left- and right-most grids being only one wide and fixing the pawn problem; and Berolina Grid Chess, using Berolina pawns instead of ordinary ones.

(I'll fix the link description, which currently says grids are "4 by 4" squares.)

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