1325.sagews

In the second edition of this ploting saga, I've made a cylindric plot.

reset()
var('fi,z')

(fi, z)

def cylindrical_plot(f,phiran,zran,**kwds):
    phi=phiran[0]
    z=zran[0]
    Rho=(f*cos(phi),f*sin(phi),z)
    return parametric_plot3d(Rho,phiran,zran,**kwds)

Some examples:

cylindrical_plot(2,(fi,0,3*pi/2),(z,-2,2))

cylindrical_plot(cosh(z),(fi,0,2*pi),(z,-2,2))

cylindrical_plot(e^(-z^2)*(cos(4*fi)+2)+1,(fi,0,2*pi),(z,-2,2),plot_points=[80,80]).show(aspect_ratio=(1,1,1))