As far as I can tell, the only mention of "1 or X" box/diamond rules in ANKS is on pages 170-172. Wolfram shows pictures of the evolution of 1 or 4 diamond rule (code 942) on page 171, states that the rule "yields an intricate, if very regular, pattern of growth," shows a 3D space-time display of the evolution on page 172 -- and that's about the extent of it.
The only other remotely close rule he describes is the "3 or 5" box rule (not counting self) (code = 175850) on page 177, the pattern of which he asserts has "seemingly random irregularities, at least on a small scale" but on a larger scale it follows a "rather smooth curve."
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