A trimmer head assembly for use on a vegetation cutting machine. The trimmer head assembly has a housing. The housing has a top surface, bottom surface, and at least two recessed areas there between. Pivot posts are disposed within each of the recessed areas. An anchor disc is disposed around each pivot post. The anchor disc is free to rotate around the pivot post within a range. Each anchor disc has two trimmer line channels extending through it. The two trimmer line channels are joined by an open edge groove that runs along one edge. A length of trimmer line is provided for each anchor disc. Each length of trimmer line has a first end that extends through the first of the trimmer line channels, a second end that extends through the second of the trimmer line channels and a bend that seats in the open edge groove.