by JasonLion » Wed Jun 10, 2015 12:56 am
Your "rectangle, or box move" depends on having four cells that share two candidates, two rows, two columns, two blocks, none of which are clues. The most common mistake is trying to apply the same rule to four cells that are spread across four blocks, which won't work. This technique is typically called Unique Rectangle.
If I understand your "half box", no that will not work.
I don't really understand your "23, 29, and 239" question. You use the same sequence for the one you know works and the one you are not sure of, which doesn't make any sense to me. As long as those three cells share a single house, that technique will always work.