Squaring the Circle...
The sampling process then re-engages and, assuming the violence continues unabated, a further parcel of land
is thereby delineated and assigned to whoever. The area this covers would then be some 2 sq. km. Subsequent infractions might trigger another penalty; 4 sq. km. After that, it's 8, 16, 32, 64, 128, 256 sq. km. . . . . . . . . A natural progression; it soon ramps up to some very serious real estate indeed.