the company institut straumann ag basel switzerland available in a 3 5 mm diameter version short or long art no 044 218 219 or in a 4 2 mm diameter version short or long art no 044 222 223 the bur 1 is conventionally equipped with a dental coupling 2 a bur shank 3 a bur neck 4 with at least one helical groove and a corresponding bevel and a bur tip 5 with at least one tip cutting edge 7 and a corresponding ridge 8 additionally several markings 6 for indicating the drilling depth are provided on the bur 1 in a conventional manner according to the invention the tip cutting edge 7 of the bur tip 5 is provided with roundings 7 b and edges 7 a as can be seen from the side view in fig2 the roundings 7 b border on the bur neck 4 so that the point of contact of the roundings 7 b with the bur neck 4 corresponds to the diameter of the bur 1 thus the edges 7 a belong to an imaginary cone whose axis runs through the axis of the bur and the roundings 7 b are part of an imaginary sphere whose center is also located on the axis of the bur preferably the imaginary cone is blunt the edges 7 a preferably form.