When a large ice sheet begins to melt, global-mean sea level rises, but local sea level near the ice sheet may in fact drop. A researcher illustrates this effect through a series of calculations, beginning with a simple, analytically tractable model and progressing through more sophisticated mathematical estimations of ice distributions and gravitation of displaced seawater mass. The paper includes numerical results for sea level change resulting from a 1,000-gigatonne loss of ice, with parameter values appropriate to the Greenland and Antarctic ice sheets.