User blog comment:Undeadlift/Factorial Recursion System/@comment-99.185.0.100-20150621211756/@comment-99.185.0.100-20150621212210

See, you seem to imply the operations go:

ι, ιι, ιιι, ιιιι, ...

ι1, ι1ι1, ι1ι1ι1, ι2ι2ι2ι2

ι2, ι2ι2, ι2ι2ι2, ι2ι2ι2ι2

ι3, ι3ι3, ι3ι3ι3, ι3ι3ι3ι3

ι4, ι4ι4, ι4ι4ι4, ι4ι4ι4ι4

...

And form a grid. In mine, an ι is added on each time, collapsing strings of ιm's into ιm+1, and form an infinite-dimensional cube.