A capacitive touch sensor is described. The touch sensor includes a sensor grid that includes a trace that has a trace start point and end point, is electrically conductive between the trace start point and the trace end point, is formed in one or more pairs of trace cells that each include a first trace cell and a second trace cell that is rotationally symmetrical to the first trace cell. The trace start point and the trace end point define a trace axis. A trace direction is defined from the trace start point to the trace end point. A trace-perpendicular direction is defined as being perpendicular to the trace direction. A segment of the trace that is formed in the first trace cell includes a first portion, a second portion, a third portion, a fourth portion, a fifth portion, a sixth portion, a seventh portion, and an eighth portion.