I propose Antartica adopt an irrational approach.

Decide on Antartica North as a basis, clearly this should be Antartica’s tentacle where it reaches out trying to touch the South American tentacle. 1 AntArcSpan is thus the rational radius of Antartica.

Multiply Antartica North by the square root of -1 a.k.a. the number i.

I propose as international law that real estate/territory claims all have to be solely defined in terms of trignometric functions on Antartica.

It would also hopefully draw irrationality from other continents, maybe acting as an irrationality sink.

I asked a researcher on mastodon working at the Amundsen-Scott Station last year about how they manage navigation there and they have their own grid system over there, aligned with the prime meridian.