NAME

LiveGraphicsVectorField3D.pl - provide an interactive plot of a 3D vector field.

DESCRIPTION

LiveGraphicsVectorField3D.pl provides a macros for creating an interactive plot of a vector field via the LiveGraphics3D Javascript applet. The routine VectorField3D() takes three MathObject Formulas of 3 variables as input and returns a string of plot data that can be displayed using the Live3Ddata() routine of the LiveGraphics3D.pl macro.

USAGE

VectorField3D(options);

Options are:

Fx => Formula("y"),    F = < Fx, Fy, Fz > where Fx, Fy, Fz are each
Fy => Formula("-x"),   functions of 3 variables
Fz => Formula("z"),

xvar => "r",           independent variable name, default "x"
yvar => "s",           independent variable name, default "y"
zvar => "t",           independent variable name, default "z"

xmin => -3,            domain for xvar
xmax =>  3,

ymin => -3,            domain for yvar
ymax =>  3,

zmin => -3,            domain for zvar
zmax =>  3,

xsamples => 3,         deltax = (xmax - xmin) / xsamples
ysamples => 3,         deltay = (ymax - ymin) / ysamples
zsamples => 3,         deltaz = (zmax - zmin) / zsamples

axesframed => 1,       1 displays framed axes, 0 hides framed axes

xaxislabel => "R",     Capital letters may be easier to read
yaxislabel => "S",
zaxislabel => "T",

vectorcolor => "RGBColor[0.0,0.0,1.0]",
vectorscale => 0.2,
vectorthickness => 0.001,

outputtype => 1,       return string of only polygons (or mesh)
              2,       return string of only plotoptions
              3,       return string of polygons (or mesh) and plotoptions
              4,       return complete plot