Oh, what memories!

I spent a serious amount of time on this when I discovered it, a couple of years after it was published.

Firmly believing that "variations on a theme is the crux of creativity", I studied what happens to the same construct in other numbering bases. Well, not many: based on the first theorem, only unary, binary and ternary were interesting.

I should unearth the report I wrote back then -- although I have no idea where a digital copy might be stored.

Oh hey, I tried to drum up some interest in a recent submission too. A 2024 connection to automata theory here: https://arxiv.org/abs/2409.20341 And there's code too: https://github.com/AleksandrStorozhenko/ConwayTransducer