A tape dispenser for precisely applying decorative tape for creating the appearance of a bevel onto a glass surface. The tape dispenser includes a frame, a tape spool rotatably mounted to the frame, a drive roller rotatably mounted to said frame for controlling a length of such tape unwound from said tape spool, a platen having an angular front end portion that causes a liner to separate from the tape, and a rewind spool rotatably mounted to the frame. The tape spool, drive roller, platen and rewind spool define a path of travel from the tape spool, around the drive roller, around the front end portion of said platen, to said rewind spool.