is an option to StreamPlot, ListStreamPlot, and related functions that determines how many streamlines to draw.


  • The following settings can be given for StreamPoints:
  • 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, p2,
    {{p1,g1},}draw streamlines through pi using graphics directive gi
    {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 {p1,p2,}, StreamPlot and related functions effectively follow the flow of the vector field forward and backward from each point.
  • In the form {spec,d}, the minimum distance d between streamlines is given in ordinary coordinates, and applies in all directions.
  • In the form {spec,d,len}, 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.


open allclose all

Basic Examples  (2)

Use different numbers of streamlines:

Specify streamlines that go through a set of seed points:

Scope  (1)

Use both automatic and explicit seeding with styles for explicitly seeded streamlines:

Wolfram Research (2008), StreamPoints, Wolfram Language function,


Wolfram Research (2008), StreamPoints, Wolfram Language function,


Wolfram Language. 2008. "StreamPoints." Wolfram Language & System Documentation Center. Wolfram Research.


Wolfram Language. (2008). StreamPoints. Wolfram Language & System Documentation Center. Retrieved from


@misc{reference.wolfram_2024_streampoints, author="Wolfram Research", title="{StreamPoints}", year="2008", howpublished="\url{}", note=[Accessed: 21-June-2024 ]}


@online{reference.wolfram_2024_streampoints, organization={Wolfram Research}, title={StreamPoints}, year={2008}, url={}, note=[Accessed: 21-June-2024 ]}