On the exterior there is a large cloister (partly ruined) on the south of the nave; half of this is pointed, the other half late Romanesque. It opens into the church with a small round-arched door, in the third bay from the west; and on its east side into a large kind of porch or narthex, south of the south transept, from which there is a particularly grand doorway, with five shafts in each jamb, into the transept. This porch is groined in two bays, and communicates with other buildings to the south, one of which seems, by its apse and pointed windows, to have been a chapel. These old buildings group picturesquely with the east end of the church. The southern was not, however, the only cloister; the good men of Naumburg seem to have been specially fond of duplicates, and as they had two choirs, two rood-screens, and two towers at each end, so they thought right to have two cloisters. The northern cloister seems to have tallied in size with the southern; but all that now remains of it are the groining-ribs against the north wall, and the springers of the groining throughout. The base-mould of the western tower is continued all along this north wall, and the groining springs from corbels; all which makes it look as though it were a subsequent addition: but its arches are nevertheless round, whilst, as we have seen, pointed arches are used throughout the main arcade. There are two doors from this destroyed cloister into the church--one into the north aisle, the other into the north transept. The western apse is remarkable, on the exterior, for the excessively beautiful carving of its cornices; these are varied in every bay, and, I think, the best I have ever seen. They are of that exquisite imitation of natural foliage, springing upwards, and filling a large hollow with its ramifications, which commends itself to my mind as the most perfect type of cornice foliage. There is a somewhat similar carved string under the windows, equally good, but much more simple. The buttresses finish at the top with delicate pinnacles. At the east end the detail is also good, the windows being well moulded, and the buttresses finished with good simple niches and figures. The apsidal projections on the eastern face of the towers finish with pyramidal stone roofs against the towers, at a low elevation. The north-west tower is late, and has open turrets at its angles, beginning at the second stage; it is picturesque, but not very good. The upper stages of the eastern towers are also octangular, but without pinnacles; and what ornament they have is of a very late kind, and not effective.