Fixation assemblies having a button captured by a continuous (i.e., closed) loop of thread, such as ultra high molecular weight polyethylene (UHMWPE) fiber are disclosed herein. Preferred assemblies are constructed such that the intact button cannot be detached from the continuous loop without breaking or opening the loop of fiber. The closed fiber advantageously contains at least one or two stitched, or otherwise secured or reinforced, sections positioned on the loop.