Take the 2-minute tour ×
Mathematica Stack Exchange is a question and answer site for users of Mathematica. It's 100% free, no registration required.

As we all know in spherical coordinates a function phi = π/3 gives us a cone. The cone makes an angle of π/3 with the imagined z-axis. How do I type this formula into Mathematica?

share|improve this question
1  
RevolutionPlot3D[3 z, {z, 0, -2}, ColorFunction -> "Rainbow", Mesh -> None] –  belisarius Dec 14 '13 at 5:49
1  
Related cones on spheres: Cone image refinement. –  Artes Dec 14 '13 at 12:20
add comment

1 Answer

You can use CoordinateTransform to change coordinates to Cartesian and then use ParametricPlot3D to make the plot.

cone[r_, θ_] := 
  Evaluate[CoordinateTransform["Spherical" -> "Cartesian", {r, ϕ, θ}] /. ϕ -> π/4]
ParametricPlot3D[cone[r, θ], {r, 0, 1}, {θ, 0, 2. π}]

This gives

plot.png

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.