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There are many ways to implement multi-indexed tables in Lua, but
since that is not the main point of the post, I'll just pick one,
namely to wrap the indices into a tuple as described for example in
these articles on the Lua wiki:

In either case, you code something like tbl[tuple(1,2)] where you
would have liked to code tbl[1,2]. And you can obviously monkey-patch
rawget and rawset to accept more arguments.

Now the real questions:

1. Is there any syntactic reason why one can't patch Lua so that
t[1,2] won't raise a compilation error, but instead invoke
__index(t,1,2) or __newindex(t,1,2,v)?
2. Has anyone done it already?