WOLFRAM

Wolfram Language & System Documentation Center

VectorPoints

is an option to VectorPlot, ListVectorPlot, and related functions that determines where to draw arrows.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Possible Issues  
See Also
Related Guides
History
Cite this Page

VectorPoints

VectorPoints

is an option to VectorPlot, ListVectorPlot, and related functions that determines where to draw arrows.

Details

  • Typical point patterns used for drawing arrows.
  • The following settings can be given for VectorPoints:
  • Nonedraw no arrows
    Automaticdraw automatically selected arrows
    nuse upto n points in each direction
    {m,n}, {m,n,k}use a grid of arrows in 2D or 3D
    Coarseautomatically chosen coarse set of arrows
    Fineautomatically chosen fine set of arrows
    "name"use the named setting
    {"name",n}use the named settings with a given number of points
    {p1,p2,…}draw arrows at the points p1, p2, …
    {{p1,g1},…}draw the arrow at p1 using graphics directive g1
  • The following are named settings:
  • "Regular"draw arrows on a regular grid
    "Hexagonal"draw arrows on a 2D or 3D hexagonal grid
    "Mesh"draw arrows on a 2D discretized mesh
    "FaceCenteredCubic"draw arrows on a 3D face-centered cubic grid

Examples

open all close all

Basic Examples  (5)

Plot a vector field with arrows on a hexagonal grid:

Use coarse and fine settings for the vector density:

Specify a list of points for showing field vectors:

"Mesh" generates points based on a partition of the domain:

"Mesh" samples the boundary of the region:

Scope  (2)

Use a different number of field vectors on a hexagonal grid:

The location for vectors is given in the middle of the drawn vector:

Possible Issues  (1)

The default hexagonal mesh can introduce a hexagonal artifact:

Eliminate the hexagonal artifact by using a different method of point generation:

Wolfram Research (2008), VectorPoints, Wolfram Language function, https://reference.wolfram.com/language/ref/VectorPoints.html (updated 2020).

Text

Wolfram Research (2008), VectorPoints, Wolfram Language function, https://reference.wolfram.com/language/ref/VectorPoints.html (updated 2020).

CMS

Wolfram Language. 2008. "VectorPoints." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/VectorPoints.html.

APA

Wolfram Language. (2008). VectorPoints. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/VectorPoints.html

BibTeX

@misc{reference.wolfram_2025_vectorpoints, author="Wolfram Research", title="{VectorPoints}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/VectorPoints.html}", note=[Accessed: 28-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_vectorpoints, organization={Wolfram Research}, title={VectorPoints}, year={2020}, url={https://reference.wolfram.com/language/ref/VectorPoints.html}, note=[Accessed: 28-August-2025]}