# How to color ParametricPlot3D based on the parameter?

I have a set of ODEs I am solving, and then plotting (several) trajectories of in ParametricPlot3D. I want to have a color of each plot reflect the time (i.e. the Parameter) at that point.

I tried what something along the lines of:

ParametricPlot3D[{{Sin[t], Cos[t], t/10}, {Sin[2*t], 3*Cos[t], Tan[t]}}, {t, 0, 20},
ColorFunction -> Function[t, Hue[t]]]


which colors the function in a seemingly arbitrary way.

Cheers!

-
Look in the details section too see what arguments are given to the ColorFunction. Function[{x, y, z, t}, ...] – ssch Nov 8 '13 at 14:25

ParametricPlot3D[{{Sin[t], Cos[t], t/10}, {Sin[2*t], 3*Cos[t], Tan[t]}}, {t, 0, 2 Pi},

Please note that extending the plot till t == 20 as you've done will cause the second function to plot along the same path several times, so occluding the "real" coloring – Dr. belisarius Nov 8 '13 at 16:20