User blog comment:TheMostAwesomer/I'm assuming that this isn't as strong as it could be./@comment-25337554-20160114102031/@comment-5883141-20160114174954

I was expanding/solving the zeptoscopic tendupier, the first number larger than the iteral I defined with this, and, well...

⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,⟨10,{10,10,10...10,10,10} w/tendupier jr. 10’s,2⟩,2⟩,2⟩,2⟩,2⟩,2⟩,2⟩,2⟩,3⟩,3⟩,3⟩,3⟩,3⟩,3⟩,3⟩,3⟩,4⟩,4⟩,4⟩,4⟩,4⟩,4⟩,4⟩,4⟩,5⟩,5⟩,5⟩,5⟩,5⟩,5⟩,5⟩,5⟩,6⟩,6⟩,6⟩,6⟩,6⟩,6⟩,6⟩,6⟩,7⟩,7⟩,7⟩,7⟩,7⟩,7⟩,7⟩,7⟩,8⟩,8⟩,8⟩,8⟩,8⟩,8⟩,8⟩,8⟩,9⟩,9⟩,9⟩,9⟩,9⟩,9⟩,9⟩,9⟩

Where a "tendupier jr." is ⟨10,10,10,10,10,10,10,10,10,10⟩ under the old system. The number I'm expanding is ⟨10,10,10⟩ under the new system.

I don't think it's practical to solve this any further, but I found this interesting.