# 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.

• 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 '19 at 3:42

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]
]