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RevolutionPlot3D

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creates a surface of revolution by rotating a curve around the z-axis.

RevolutionPlot3D[f z, {t, tmin, tmax}]
RevolutionPlot3D[f z, {t, tmin, tmax}, {θ, θ min, θ max}]
RevolutionPlot3D[{f x, f z}, {t, tmin, tmax}]
RevolutionPlot3D[{f x, f z}, {t, tmin, tmax}, {θ, θ min, θ max}]
RevolutionPlot3D[{f x, f y, f z}, {t, tmin, tmax}, …]
RevolutionPlot3D[t ^ 4 - t ^ 2, {t, 0, 1}] → -Graphics3D-RevolutionPlot3D[{2 + Cos[t], Sin[t]}, {t, 0, 2Pi}] → -Graphics3D-RevolutionPlot3D[{Sin[t], t}, {t, 0, 2Pi}, {θ, 0, Pi}] → -Graphics3D-

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