a) a usually flat piece of metal issued by governmental authority as money.
Our Society's coin is minted on a flat piece of metal, in four metal varieties (aluminum, copper, sterling, and fine silver) for a total mintage just over 600. Our members took part in striking the aluminum version. It was commissioned by our Coordinator on behalf of the Society, and issued first to its members by the Coordinator. I guess you could say that, since those who oversee and direct the activities of our own club were involved, that our own private "governmental authority" was involved in issuing them; but not a "governmental authority" that as such would have lawful regulatory, administrative, taxation, or policing powers over a public jurisdiction. And although it was patterned after a medieval penny, it was not made with the intention of using it as a medium of exchange or currency, as money is. By this definition, what we made is not a true coin.
b) metal money
Our Society's coin is made in four varieties of metal. However, since it was not made with the intention of using it as a medium of exchange or currency, it is not money. Technically, anything used as a medium of exchange could be a form of money; but so far no one has, and that was not our intention. By this definition, what we made is not a true coin.
c) something resembling a coin especially in shape
Our Society's coin was most certainly made to resemble a coin, not only in shape, but in material and design! By this definition, we have made a coin! But this is sort of what one would call a colloquial definition; because people naturally call things the same name as a more familiar object if they share enough similar characteristics, especially in appearance. This makes this probably the weakest definition of a coin... but if the appearance is all that matters, that's enough.
d) a unit of cryptocurrency
Our Society's coin is in no way "cryptocurrency". To me, defining a unit of "Bitcoin" as a type of coin is like defining a "hot dog" as a type of dog. A more accurate entry would have been "a term used to represent a unit of cryptocurrency"... or denote it as slang for such. Either way, this definition does not apply to what we made at all.
So there it is: our coin is only a coin by the weakest definition; by the more technical definition, something created to be issued and used as money, it is not a coin.
Well then, is it a token?
Back to Merriam-Webster Online (https://www.merriam-webster.com/dictionary/token), under the first entry for a noun:
a) a piece resembling a coin issued for use (as for fare on a bus) by a particular group on specified terms
b) a piece resembling a coin issued as money by some person or body other than a de jure government
What we made does resemble a coin, and we are not a "de jure" government; but again, it was not defined as money when we issued it.
c) a unit of a cryptocurrency
Here we go again with the cryptocurrency. We made a tangible object, so a definition for a technical concept does not apply.
Let's jump to the fourth entry for the noun "token":
Yes! That's exactly what this is: something that commemorates our Society. Members and non-members alike might see it that way.
b) a small part representing the whole; indication (as in, "This is only a token of what we hope to accomplish" or "this is just a token of the wealth that awaits you")
Well... it has a knight and a cross on it, and our name and motto on it in medieval Latin; all of which represents our members, our school origins, and our values. That definition could apply to intangibles such as actions representing larger goals; or tangible samples of a greater production or accumulation; but crossing the tangible-intangible comparisons weakens it. I would see our coin as a tangible symbol representing our Society and its intangible values. I guess this would apply in a way.
c) something given or shown as a guarantee (as of authority, right, or identity)
Yes! It was originally intended that a person could show this coin to identify as a member, sponsor, contributor, or supporter of our Society. There are no rights or authority per se that accompanies the transfer of this object; but it would show an identification of sorts, perhaps an affiliation with, or just an affection for, our club. That is, unless someone traded or sold theirs to someone else. At that point, it's just a collectible piece.
So technically, our Society coin is really a token.
Or is it a medal?
Back to Merriam-Webster (https://www.merriam-webster.com/dictionary/medal):
1) a small usually metal object bearing a religious emblem or picture
Well... yes! It's about the size of a modern US cent, so it's small... and there's a picture of a knight on it... and a religious symbol, the cross.
2) a piece of metal often resembling a coin and having a stamped design that is issued to commemorate a person or event or awarded for excellence or achievement
Absolutely! It was intentionally designed to resemble a medieval coin. The design was stamped (hammered, to be specific) into it with dies, and it commemorates the existence of a group of like-minded persons who joined to form our Numismatic Society. In my humble opinion, we've achieved some excellence already, so, yes! we are commemorating our excellence as a group!
So which is it, really?
From a numismatic perspective, I know I can eliminate "coin". NGC would not grade it as one, because it was not issued by either a de jure or de facto government to be used as a means of currency within its jurisdiction.
But what would they call it: a token? or a medal?
The Token and Medal Society (http://www.tokenandmedal.org/FAQ/FAQ.html) says this:
"Strictly defined, a token is any substitute for the money issued by governments. The most common form of token is a metal disc, similar to a coin, on which is inscribed the value and the issuer. In theory, tokens were redeemable only by the issuer, but some were accepted widely and often circulated just as coins. In practice, many other items, such as advertising pieces, are also called tokens as opposed to medals."
Again, ours was not issued with the intention of substituting it for governmentally-issued currency (although a kindergartener found one on the school cafeteria floor and tried to "put it on account"! The lunch lady did NOT accept it, or we would have officially had a token exchange). We also do not have a face value inscribed on them.
There's a new book out (https://www.coinbooks.org/v21/esylum_v21n10a04.html) covering the "tokens and medals" of the Chicago Coin Club. Over the years, their club has produced tokens and medals representing their club, much as we just did (although I don't know if any of theirs were hammered). Maybe I should read it to see if they actually distinguish between the two, and see if ours fits more in one category than the other.
What would YOU call it?