Schaffhausen, historically known in English as Shaffhouse, is a town with historic roots, a municipality in northern Switzerland, and the capital o…Schaffhausen, historically known in English as Shaffhouse, is a town with historic roots, a municipality in northern Switzerland, and the capital of the canton of the same name; it has an estimated population of 36,000 as of December 2016. It is located right next to the shore of the High Rhine; it is one of four Swiss towns located on the northern side of the Rhine, along with Neuhausen am Rheinfall, the historic Neunkirch, and medieval Stein am Rhein.