A line defect on the cylinder

Punctured flat space
Cylinder
Two rays become two worldlines
Two sites per time slice

Every displayed sphere intersects the same through-origin line at . The corresponding cylinder slices each contain these two sites; following them through time gives the two worldlines. Matching colors and line styles identify corresponding spheres and slices. Left circles are sphere sections; right ellipses denote whole slices with one angular direction suppressed.