Rüdesheim (rü´dəs-hīm´), town (1994 pop. 10,282), Hesse, W central Germany, on the Rhine River. Vineyards in the area produce some of the most noted Rhine wines, and Rüdesheim is the center of the region's wine trade. It was first mentioned in the 9th cent. Nearby is the Brömserburg (10th cent.), a castle (now a museum) once used by the archbishops of Mainz.