# Drawing Curve, Interpolating Points on a Sphere

I am implementing Lagrange motion of degree 6 in Wolfram Matematica, I have implemented everything and now when i came to an 'easy part', drawing part i am stuck.

Which function could i use to draw on the same graph sphere interpolating point and a curve? Also could you please give an example of a sphere of some radius centered at 0, with some curve and points on it? I will be very thankful.

Thanks in advance.

• Welcome to mathematica.se. I gave you an example for your specific question, but please simply search the site. You will find great resources like the answers here. – halirutan Jun 21 at 3:42

## 1 Answer

I'll give you an example but please also check the many posts we have on this site. Generally, you can combine all kinds of graphics with Mathematica. So for instance, plotting a parametric curve and a sphere in the same plot can be done with

curve[t_] := {
Cos[t]*Sin[2*ArcTan[Exp[-t/8]]],
Sin[t]*Sin[2*ArcTan[Exp[-t/8]]],
Cos[2*ArcTan[Exp[t/8]]]
};

Show[
Graphics3D[Sphere[]],
ParametricPlot3D[curve[t], {t, -20, 20}, PlotStyle -> Red]
] 