User blog comment:Clarrity/List of ordinals (up to omega^omega)/@comment-30118230-20180225131945/@comment-30754445-20180307212312

@Nayuta Ito

I've never claimed it was my original idea.

I didn't get it from your ordinal ruler, though. I got it from a post Username5243 made on the XKCD games forum, where he mentioned that some guy on this wiki once presented the idea using halving to create an ordinal ruler.

@Clarrity

As for creating a practical Γ₀-level spiral: We could use the fundamental sequence:

0, ω, ε₀, φ(ω,0), φ(ε₀,0), φ(φ(ω,0),0), φ(φ(ε₀,0),0), ...

(with each member of the FS representing a single turn on the spiral)

I tried drawing a sketch of it on a whiteboard. It looks surprisingly readable.