Date: 2011-06-07 02:25 am (UTC)
brooksmoses: (Default)
From: [personal profile] brooksmoses
There's a minor variation on on your second pattern that's reachable, though, starting from the first pattern. How about:
..............
....AA  BB....
....AA  BB....
..AA      BB..
....AA  BB....
....AA  BB....
..............


We got there from here (lower-case removed in the first round) by swapping the central pair:
..............
....AAbaBB....
....AAbaBB....
..AAbbabaaBB..
....AAbaBB....
....AAbaBB....
..............


And you can take out 8 more in the second round by putting matched pairs beyond the ends of the central column as well -- though I'm not sure I'm understanding exactly what you mean by "kingwise-connected":

..............
......AB......
......AB......
....AA  BB....
....AA  BB....
..AA      BB..
....AA  BB....
....AA  BB....
......AB......
......AB......
..............

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