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But do you consider manhole covers to be numismatic items?
Personally, no. Using my definition of "resemblance", a very large round metal thing (like a manhole cover or furphy) resembles a teeny tiny round metal thing (like a coin) only to the degree that they are both round and metal - that's not good enough for me. "Fitting in a 2x2" is my litmus test for "resembling a coin", since most coins fit in a 2x2.
These very large metal things also do not, to my knowledge, share the same "method of manufacture", that is, by striking with dies - I believe they are cast.
Yes, there are plenty of coins out there that are made by casting, just as there are plenty of coins out there that won;t fit in a 2x2. But these pass the numismatic test by being used as money.
Not money + not close enough resemblance + not die-struck = not numismatic.
But I'm perfectly happy for other folks to have a different "working definition" of numismatic than me, with a broader or narrower focus. There are some other guys in the same coin club who, personally, only collect coins, period - no medals, no tokens, no banknotes, nothing but coins.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis