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.

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

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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 different continents acting as an irrationality sink.