ordinal counting

base-3 ordinal counting (3 becomes ω, ω*3 becomes ω^2, ω^2*3 becomes ω^3 becomes ω^ω, etc.)

1

2

ω

ω+1

ω+2

ω*2

ω*2+1

ω*2+2

ω^2
Part III Begins.

ω^2+1
We're 1/3 way to the end right

ω^2+2

ω^2+ω

ω^2+ω+1

ω^2+ω+2

ω^2+ω*2