A few miles below Immendingen is Möhringen, where some of the water of the Danube is supposed to percolate through the earth and reappear some distance to the south as the Aach, which flows into Lake Constance and so becomes part of the Rhine. Below Möhringen is Tuttlingen at the foot of the ruin-crowned Homberg, a prosperous town, and a good centre for excursions, but as an incident on the Danube, chiefly notable for a monument forming yet one more connexion with the Rhine; for here is to be seen a statue, erected nearly twenty years ago to Max Schneckenburger, author of the German national song _Wacht am Rhein_. Schneckenburger was born in 1819 at Thalheim, a village some miles to the west, and there he was buried thirty years later. From Tuttlingen the river follows a winding course to Mühlheim, on high ground to the right with a ruined pilgrimage church of Mariahilf beyond, and then, more tortuously still, crossed and recrossed by the railway to Fridingen. Beuron, the next place of any importance, is notable for its monastery of Benedictines which was originally founded in the eleventh century by the Augustines, was suppressed at the beginning of the nineteenth century, and made over to the Benedictines about fifty years ago. On a height to the south of Beuron is a notable château, and also within easy reach of the village is a large grotto known as Peter’s Cavern. Through a narrow and beautiful valley the river goes on by wooded hills and pleasant, picturesque villages, with ruined castles now and again standing boldly on the rocky heights. Near Gutenstein are the towering rocks of Rabenfels and Heidenfels. The river, winding to and fro among the hills, is more or less closely neighboured, as has been said, by the railway; while from Tuttlingen to Sigmaringen the course of the stream may be followed by the pedestrian who has leisure--and to him alone is it given to enjoy all the beauties of this picturesque stretch of the Danube. Sigmaringen itself is a town on the right bank that affords a fine centre for exploring the river up or down-stream, and among the things of interest to be seen here is Prince Hohenzollern’s Schloss, situated on a precipitous rock immediately above the Danube, with pleasant hills on the further side of the river. In the Schloss is an admirable museum and picture gallery. On the high Brenzkofer Berg, on the left side of the river, is a monument to the Hohenzollerns killed in the war of 1866 and the Franco-Prussian War and from it is to be had a good and extensive view.