# 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:
•  None draw no arrows Automatic draw automatically selected arrows n use upto n points in each direction {m,n}, {m,n,k} use a grid of arrows in 2D or 3D Coarse automatically chosen coarse set of arrows Fine automatically 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

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## 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_2024_vectorpoints, author="Wolfram Research", title="{VectorPoints}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/VectorPoints.html}", note=[Accessed: 19-September-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_vectorpoints, organization={Wolfram Research}, title={VectorPoints}, year={2020}, url={https://reference.wolfram.com/language/ref/VectorPoints.html}, note=[Accessed: 19-September-2024 ]}