After encountering the same issue, I came across a solution while browsing for answers. To resolve the problem temporarily, I utilized the third parameter in the THREE.Line constructor. There are two options available - THREE.LineStrip and THREE.LinePieces. Opting for the latter option, it connects a series of segments such as 0-1, 2-3, and so on. By adding a set of vertices for each line like 0-1, 1-2, 2-3, and then resetting this sequence for the next line, I was able to address the issue successfully. Hopefully, this approach will assist you as well if you prefer not to redefine the Line implementation.