From a BBC piece on flat earthers:
Mr Davis says he is currently creating an "online information repository" to help to bring together local Flat Earth communities into a "global community".Err, surely it'd be a "planual community"?
"If you will forgive my use of the term 'global'", he says.
After all, as "global" comes from the Latin, "globus", we'll need a similar word derived from "planus". If that's not good enough, perhaps deriving "tabulal" from "tabula" would work?