Plotting 3D fields#
- sage.plot.plot3d.plot_field3d.plot_vector_field3d(functions, xrange, yrange, zrange, plot_points=5, colors='jet', center_arrows=False, **kwds)#
Plot a 3d vector field
INPUT:
functions
- a list of three functions, representing the x-, y-, and z-coordinates of a vectorxrange
,yrange
, andzrange
- three tuples of the form (var, start, stop), giving the variables and ranges for each axisplot_points
(default 5) - either a number or list of three numbers, specifying how many points to plot for each axiscolors
(default ‘jet’) - a color, list of colors (which are interpolated between), or matplotlib colormap name, giving the coloring of the arrows. If a list of colors or a colormap is given, coloring is done as a function of length of the vectorcenter_arrows
(default False) - If True, draw the arrows centered on the points; otherwise, draw the arrows with the tail at the pointany other keywords are passed on to the plot command for each arrow
EXAMPLES:
A 3d vector field:
sage: x,y,z=var('x y z') sage: plot_vector_field3d((x*cos(z),-y*cos(z),sin(z)), (x,0,pi), (y,0,pi), (z,0,pi)) Graphics3d Object
same example with only a list of colors:
sage: plot_vector_field3d((x*cos(z),-y*cos(z),sin(z)), (x,0,pi), (y,0,pi), (z,0,pi),colors=['red','green','blue']) Graphics3d Object
same example with only one color:
sage: plot_vector_field3d((x*cos(z),-y*cos(z),sin(z)), (x,0,pi), (y,0,pi), (z,0,pi),colors='red') Graphics3d Object
same example with the same plot points for the three axes:
sage: plot_vector_field3d((x*cos(z),-y*cos(z),sin(z)), (x,0,pi), (y,0,pi), (z,0,pi),plot_points=4) Graphics3d Object
same example with different number of plot points for each axis:
sage: plot_vector_field3d((x*cos(z),-y*cos(z),sin(z)), (x,0,pi), (y,0,pi), (z,0,pi),plot_points=[3,5,7]) Graphics3d Object
same example with the arrows centered on the points:
sage: plot_vector_field3d((x*cos(z),-y*cos(z),sin(z)), (x,0,pi), (y,0,pi), (z,0,pi),center_arrows=True) Graphics3d Object