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based on an earlier version of the Wolfram Language.
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StreamPoints

StreamPoints
is an option to StreamPlot, ListStreamPlot, and related functions that determines how many streamlines to draw.
Nonedraw no streamlines
ndraw at most n streamlines
Automaticautomatically chosen streamlines
Coarseautomatically chosen coarse set of streamlines
Fineautomatically chosen fine set of streamlines
{p1,p2,...}draw streamlines through the points , , ...
{{p1,g1},...}draw streamlines through using graphics directive
{spec,d}specify a minimum distance between streamlines
{spec,{dstart,dend}}specify minimum distances at start and end
{spec,dspec,len}specify a maximum length for any streamline
  • When explicit initial points are given in the form , StreamPlot and related functions effectively follow the flow of the vector field forward and backward from each point.
  • In the form , the minimum distance d between streamlines is given in ordinary coordinates, and applies in all directions.
  • In the form , len gives the total length of the streamlines to generate forward and backward from each explicit initial point specified. The length len is measured in ordinary coordinates.
  • The parameters d and len can be specified in the form Scaled[s], representing a fraction of the diagonal of the whole plot.
Use different numbers of streamlines:
Specify streamlines that go through a set of seed points:
Use different numbers of streamlines:
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Click for copyable input
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Specify streamlines that go through a set of seed points:
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
Use both automatic and explicit seeding with styles for explicitly seeded streamlines:
New in 7