ParametricPlot3D[ {2*(Cos[u] + u*Sin[u])Sin[v]/(1 + u*u*Sin[v]*Sin[v]), 2 * (Sin[u] - u*Cos[u])Sin[v]/(1 + u*u*Sin[v] * Sin[v]), Log[Tan[v/2]] + 2 * Cos[v] /(1 + u*u*Sin[v]*Sin[v])}, {u, -4, 4}, {v, 0.05, Pi}, AspectRatio -> Automatic, ViewPoint -> {0.988, 3.850, 2.656}, PlotPoints -> {50, 50}, Boxed -> False, Axes -> None] |
ParametricPlot3D[ {Cos[t] (3 + Cos[u]), Sin[t] (3 + Cos[u]), Sec[2t]Sin[2u]}, {t, 0, 2 Pi}, {u, 0, 2Pi}, PlotPoints -> {50, 50}, Boxed -> False, Axes -> None] |
ParametricPlot3D[ {(r^2*Cos[2*phi])/2 - Log[r], -phi - (r^2*Sin[2*phi])/2, 2*r*Cos[phi]}, {r, 0.005, 2.0}, {phi, -2*Pi, 3*Pi}, ViewPoint -> {-1.0, -1.0, 1.0}, PlotPoints -> {10, 100}, Boxed -> False, Axes -> None] |
ParametricPlot3D[ {Sin[u]Cos[v], 2u Cos[v], 2v Cos[u]}, {u, -Pi, Pi}, {v, -Pi, Pi}, ViewPoint -> {-1.140, 2.250, 1.850}, PlotPoints -> {50, 50}, Boxed -> False, Axes -> None] |