The eternal mathematical gang war! Left side represents the coordinate notation (X1, X2), [Y1, Y2] - perfect for those who organize their variables by type. Right side rolls with (X1, Y1), (X2, Y2) - pairing coordinates by point. This is literally the silent battle happening in every math department lounge. Professors have lost tenure over this. The real reason mathematicians carry chalk isn't for impromptu equations—it's for marking territory in their preferred notation.