How to change colors of 3D parametric plot

Question

I have a 3D iterative plot, where each iteration (1,2,3) is represented by equation of piecewise linear function. I am trying to change the colors of plot, to get for every iteration (piecewise function) different color.

Here is my plot and code what I use for plotting

Show[Map[ParametricPlot3D[{x, maxlines[x, iterpairs[[#]]], #}, {x, 0, 
     1},BoxRatios -> {1, 1, 2}, PlotRange -> {{0, 1}, {0, 1}, {0, 3}}] &,
   Range[3]]]

I was trying to add as parameter ColorFunction, but it didnt work.

ColorFunction->"Rainbow"

Does anyone know which parameter should I add, to change the colors of this plot? Thank you for your advices.

Answer 1

Use something like PlotStyle -> ColorData["Rainbow"][...], e.g. (You did not show what your maxlines is, so I'm using random numbers as example)

Show[Map[ParametricPlot3D[{x, x + RandomReal[], #}, {x, 0, 1}, 
    BoxRatios -> {1, 1, 2}, PlotRange -> All, 
    PlotStyle -> ColorData["Rainbow"][#/3]] &, Range[3]]]