User blog comment:Wythagoras/Duplex vs. Plexian and more/@comment-24509095-20140729012422/@comment-5982810-20140729014332

This is true. This is going by the definition of gar-(n) = n^2 as originally put forth in the Alistair Cockburn article. Unfortunately, people have a tendency to dumb things down and inevitably someone made the mistake that gargoogolplex meant 10^googolplex, and this was how gargantugoogolplex = 10^10^googolplex got formed. It makes no sense given the original definition put forth in the article. As for the original meaning it would be (10^10^100)^2, since it was defined explicitly as a "googolplex googolplexes". Cockburn appears to apply prefixes only after all suffixes are applied. For this reason I use gargoogol-plexed for 10^10^200 and gargoogolplex for (10^10^100)^2.