Parameterized surfaces in spherical coordinates are
given by equations of the form
ρ = f (s, t),
θ = g(s, t), and
= h(s, t). These are very
general and allow you to generate a wide variety of interesting plots.
To plot a parameterized surface
The 3D spherical plot of the vector
ρ, θ, 1
gives
the cone
= 1. For the following plot, the view is set with
-1≤ρ≤1 and
0≤θ≤2π.
Plot 3D + Spherical
ρ, θ, 1
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dtbpF3in2.0003in0ptFigure
You can plot the surface defined by ρ = s,
θ = s2 + t2,
= t by entering the three expressions as coordinates of a vector. For the
following plot, take
0≤s≤1 and
-1≤t≤1.
Plot 3D + Spherical
dtbpF2.9992in1.9995in0ptFigure