VectorFieldPlots`
As of Version 7, the Vector Field Plotting Package has been integrated into the Wolfram System.
New system functions
VectorFieldPlot is now available as the built-in Mathematica function VectorPlot:
Version 6.0
![<< VectorFieldPlots`;
VectorFieldPlot[{Sin[x], Cos[y]}, {x, 0, 2 Pi}, {y, 0, 2 Pi}]](Files/VectorFieldPlots.en/legacy_1.gif)
VectorFieldPlot3D is now available as the built-in Mathematica function VectorPlot3D:
Version 6.0
![<< VectorFieldPlots`;
VectorFieldPlot3D[{x, y, z}, {x, 0, 1}, {y, 0, 1}, {z, 0, 1}]](Files/VectorFieldPlots.en/legacy_2.gif)
The VectorHeads option has been superseded by the VectorStyle option to VectorPlot3D:
Version 6.0
![<< VectorFieldPlots`;
VectorFieldPlot3D[{x, y, z}, {x, 0, 1}, {y, 0, 1}, {z, 0, 1},
VectorHeads -> False]](Files/VectorFieldPlots.en/legacy_3.gif)
The ColorFunction option to VectorFieldPlot and VectorFieldPlot3D has been superseded by the new VectorColorFunction option:
Version 6.0
![<< VectorFieldPlots`;
VectorFieldPlot[{Sin[x], Cos[y]}, {x, 0, 2 Pi}, {y, 0, 2 Pi},
ColorFunction -> Hue]](Files/VectorFieldPlots.en/legacy_4.gif)
Use the VectorPoints option to increase the number of evaluation points in the plot:
Version 6.0
![<< VectorFieldPlots`;
VectorFieldPlot[{Sin[x], Cos[y]}, {x, 0, 2 Pi}, {y, 0, 2 Pi},
PlotPoints -> 20]](Files/VectorFieldPlots.en/legacy_5.gif)
GradientFieldPlot, GradientFieldPlot3D, HamiltonianFieldPlot, and PolyaFieldPlot can be replaced using the following definitions:
Version 6.0
![<< VectorFieldPlots`;
GradientFieldPlot[Sin[x y], {x, 0, 1}, {y, 0, 1}]](Files/VectorFieldPlots.en/legacy_6.gif)
Version 6.0
![<< VectorFieldPlots`;
GradientFieldPlot3D[x^2 + y^2 - z^2, {x, 0, 1}, {y, 0, 1}, {z, 0, 1}]](Files/VectorFieldPlots.en/legacy_7.gif)
Version 6.0
![<< VectorFieldPlots`;
HamiltonianFieldPlot[Sin[x y], {x, 0, 2 \[Pi]}, {y, 0, 2 \[Pi]}]](Files/VectorFieldPlots.en/legacy_8.gif)
Version 6.0
![<< VectorFieldPlots`;
PolyaFieldPlot[Sin[x + I*y], {x, -1, 1}, {y, -1, 1}]](Files/VectorFieldPlots.en/legacy_9.gif)