Parametric equation for 3D circle that's off-axis

  1. Hi.

    I want to know the equation to draw a circle that's a bit tilted. Imagine a 3D circle that's parallel with the Y axis. Now I want to take that circle and have its center cross through the origin still, but I want it to be θ degrees titled from the Y Axis.

    I'm using the following equations right now:
    x = r * sin(u) * cos(v)
    y = r * sin(v)
    z = r * cos(u) * cos(v)

    where r = radius, u ranges over full circle, v ranges from -pi/2 to pi/2

    Last edited: Dec 16, 2011
  2. jcsd
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