(EN) If the blade of the chamfer plane of ice preparation equipment is set to a lower depth than the carriage runner, the latter follows the cutting surface of the chamfer plane. The latter then planes to a lower depth as the carriage runner is its reference base. The carriage runner follows the blade of the ice preparation equipment and the planing action of the entire plane is unintentionally deep on one side. Said problem is effectively prevented by a small supporting runner that is located in the interior of the plane carriage, adjacent to the cutting surface of the chamfer plane. Said runner can be adjusted and is usually set to lie level with the carriage runner. If the blade of the chamfer plane is inadvertently set to a depth that is too low, the carriage is held secure by the supporting runner in conjunction with the right-hand carriage runner and the left-hand runner does not follow the cutting surface of the chamfer plane. The latter thus produces a cleanly planed strip with a uniform depth.