I don't know what an infinite family, isolate, or sporadic is. A quick Google search didn't make it obvious.
I think 8 pieces also works, but I think that may be it.
I think 8 pieces also works, but I think that may be it.
And I have, so far, 5 infinite families with, respectively, 2, 4, 8, 16 and 32 pieces.
But details matter, and you might start to question what it really means when I say "piece." Does the definition I've given really capture your intuition?
But I need to go back to writing the article.