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In this paper, we study the geometry of trisections on certain rationalelliptic surfaces. We utilize Mumford representations of semi-reduced divisorsin order to construct trisections and related plane curves with interestingproperties explicitly. As a result we are able to construct new examples ofZariski pairs. Especially, we show the existence of a family of Zariski pairsthat degenerate to the same conic-line arrangement.

Trisections on Certain Rational Elliptic Surfaces and Families of Zariski Pairs Degenerating to the same Conic-line Arrangement