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Here is a pair of field lines that do not follow the usual maxim of
starting and stopping on a charge.
An unspoken implication in this metaphorical construction is the
expectation that one, and only one, field line goes through a given
space point. It is this expectation of the metaphorical field lines
that is violated in the cited situation. At a given x=0 space point,
several field lines coexist. The usual computerized field line
construction algorithm will balk in this situation.