A known method for producing a cylindrical body uses a precipitation assembly (5) consisting of several precipitators (4), to which a parent substance is fed via medium supply lines (9), whereby the precipitation assembly (5) completes a closed trajectory (6) according to a predetermined displacement course, said trajectory comprising at least one precipitation path (8) that runs along the longitudinal axis (2) of the support. The aim of the invention is to provide an economical, reproducible, failsafe method based on said known procedure, which enables in particular the production of soot layers (3) on a support (1) at a high precipitation rate and nevertheless a high degree of uniformity. To achieve this, the displacement course (6) comprises a first loop (7a, 8) and a second loop (7b, 8), whereby the completion of the first loop (7a, 8) causes a right-hand torsion in the medium supply lines (9) and the completion of the second loop (7b, 8) causes a left-hand torsion in said lines (9).