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3d polar plot

I have to do a 3d polar plot. i.e. I have to make a 3d plot by rotating a 2d polar plot along the vertical axis.

The polar plot is of the form r=f(theta). But the polar_plot function in sage gives me only 2d plot. How do I get a 3D version of it?

I tried spherical_plot but it is not giving me the plot which I expect to be equivalent to the revolution surface I get from rotating the 2d polar plot along vertical axis.

3d polar plot

I have to do a 3d polar plot. i.e. I have to make a 3d plot by rotating a 2d polar plot along the vertical axis.

The polar plot is of the form r=f(theta). But the polar_plot function in sage gives me only 2d plot. How do I get a 3D version of it?

I tried spherical_plot but it is not giving me the plot which I expect to be equivalent to the revolution surface I get from rotating the 2d polar plot along vertical axis.

Example: "show(polar_plot(sin(2theta),theta,0,2pi))"

I wanted to plot this sin(2theta) function as a 3d plot, by revolving it around by it's vertical axis. But the command "spherical_plot3d(sin(2theta),(theta,0,2*pi),(x,0,pi))" Is not giving me that. It is giving me another shape instead.

3d polar plot

I have to do a 3d polar plot. i.e. I have to make a 3d plot by rotating a 2d polar plot along the vertical axis.

The polar plot is of the form r=f(theta). But the polar_plot function in sage gives me only 2d plot. How do I get a 3D version of it?

I tried spherical_plot but it is not giving me the plot which I expect to be equivalent to the revolution surface I get from rotating the 2d polar plot along vertical axis.

Example: "show(polar_plot(sin(2theta),theta,0,2pi))"

I wanted to plot this sin(2theta) function as a 3d plot, by revolving it around by it's vertical axis. But the command "spherical_plot3d(sin(2theta),(theta,0,2*pi),(x,0,pi))" Is not giving me that. It is giving me another shape instead.

Or Another Example: polar_plot of cos(theta)

I want to do a 3d polar plot of this to get a doughnut shape

 4 fixed readability with formatting niles 4479 ●23 ●68 ●131 http://nilesjohnson.net/

3d polar plot

I have to do a 3d polar plot. i.e. I have to make a 3d plot by rotating a 2d polar plot along the vertical axis.

The polar plot is of the form r=f(theta). But the polar_plot function in sage gives me only 2d plot. How do I get a 3D version of it?

I tried spherical_plot but it is not giving me the plot which I expect to be equivalent to the revolution surface I get from rotating the 2d polar plot along vertical axis.

Example: "show(polar_plot(sin(2theta),theta,0,2pi))"Example:

show(polar_plot(sin(2*theta),theta,0,2*pi))


I wanted to plot this sin(2theta) sin(2*theta) function as a 3d plot, by revolving it around by it's vertical axis. But the command "spherical_plot3d(sin(2theta),(theta,0,2*pi),(x,0,pi))"

spherical_plot3d(sin(2*theta),(theta,0,2*pi),(x,0,pi))


Is not giving me that. It is giving me another shape instead.

Or Another Example: polar_plot of cos(theta)

I want to do a 3d polar plot of this to get a doughnut shape

3d polar plot

I have to do a 3d polar plot. i.e. I have to make a 3d plot by rotating a 2d polar plot along the vertical axis.

The polar plot is of the form r=f(theta). But the polar_plot function in sage gives me only 2d plot. How do I get a 3D version of it?

I tried spherical_plot but it is not giving me the plot which I expect to be equivalent to the revolution surface I get from rotating the 2d polar plot along vertical axis.

Example:

show(polar_plot(sin(2*theta),theta,0,2*pi))


I wanted to plot this sin(2*theta) function as a 3d plot, by revolving it around by it's vertical axis. But the command

spherical_plot3d(sin(2*theta),(theta,0,2*pi),(x,0,pi))


Is not giving me that. It is giving me another shape instead.

Or Another Example: polar_plot of cos(theta)

I want to do a 3d polar plot of this to get a doughnut shape

I shall also give another example with pictures. The following plot is what I wanted using spherical3d plot

But in sage, giving the same command is giving me this plot instead.

What command should I give in sage to get a plot like the one we get from Mathematica.

3d polar plot

I have to do a 3d polar plot. i.e. I have to make a 3d plot by rotating a 2d polar plot along the vertical axis.

The polar plot is of the form r=f(theta). But the polar_plot function in sage gives me only 2d plot. How do I get a 3D version of it?

I tried spherical_plot but it is not giving me the plot which I expect to be equivalent to the revolution surface I get from rotating the 2d polar plot along vertical axis.

Example:

show(polar_plot(sin(2*theta),theta,0,2*pi))


I wanted to plot this sin(2*theta) function as a 3d plot, by revolving it around by it's vertical axis. But the command

spherical_plot3d(sin(2*theta),(theta,0,2*pi),(x,0,pi))


Is not giving me that. It is giving me another shape instead.

Or Another Example: polar_plot of cos(theta)

I want to do a 3d polar plot of this to get a doughnut shape

I shall also give another example with pictures. The following plot is what I wanted using spherical3d plot

But in sage, giving the same command is giving me this plot instead.

What command should I give in sage to get a plot like the one we get from Mathematica.

3d polar plot

I have to do a 3d polar plot. i.e. I have to make a 3d plot by rotating a 2d polar plot along the vertical axis.

The polar plot is of the form r=f(theta). But the polar_plot function in sage gives me only 2d plot. How do I get a 3D version of it?

I tried spherical_plot but it is not giving me the plot which I expect to be equivalent to the revolution surface I get from rotating the 2d polar plot along vertical axis.

Example:

show(polar_plot(sin(2*theta),theta,0,2*pi))


I wanted to plot this sin(2*theta) function as a 3d plot, by revolving it around by it's vertical axis. But the command

spherical_plot3d(sin(2*theta),(theta,0,2*pi),(x,0,pi))


Is not giving me that. It is giving me another shape instead.

Or Another Example: polar_plot of cos(theta)

I want to do a 3d polar plot of this to get a doughnut shape

I shall also give another example with pictures. The following plot is what I wanted using spherical3d plot

But in sage, giving the same command is giving me this plot instead.

What command should I give in sage to get a plot like the one we get from Mathematica.Mathematica?