Once you have opened a Maxima session, load package draw and then set global variable draw_renderer to vtk:
load("draw") $ draw_renderer: 'vtk $
To read the documentation on object cylindrical, write the following sentence:
describe(cylindrical) $
Surfaces in cylindrical coordinates:
draw3d( color = blue, cylindrical(z,z,-2,2,az,0,2*%pi), /*cone*/ color = brown, cylindrical(3,z,-2,2,az,0,%pi), /*cylinder*/ color = green, cylindrical(sqrt(25-z^2),z,-5,5,az,0,%pi) /*sphere*/ )$
As above, but with transparencies:
draw3d( color = blue, cylindrical(z,z,-2,2,az,0,2*%pi), /*cone*/ color = brown, cylindrical(3,z,-2,2,az,0,2*%pi), /*cylinder*/ color = green, opacity = 0.2, cylindrical(sqrt(25-z^2),z,-5,5,az,0,2*%pi) /*sphere*/ )$
Isolines on a spherical surface:
draw3d( enhanced3d = sin(a), isolines = [x+z,x,y,z], palette = gray, line_width = 2, cylindrical(z,z,-2,2,a,0,2*%pi) )$
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