3-dimensional plot of functions with SageMath

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%display latex

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x, y = var('x y')
g1 = plot3d(sin(x*y), (x,-pi,pi), (y,-pi,pi), color='green')
show(g1, viewer='threejs')

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g1 = plot3d(sin(x*y), (x,-pi,pi), (y,-pi,pi), color='green', plot_points=100)
show(g1, viewer='threejs')

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g2 = sphere()
show(g1+g2, viewer='threejs')

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show(g1+g2, viewer='tachyon', aspect_ratio=1, figsize=10)

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u, v = var('u v')
f1 = (4+(3+cos(v))*sin(u), 4+(3+cos(v))*cos(u), 4+sin(v))
f2 = (8+(3+cos(v))*cos(u), 3+sin(v), 4+(3+cos(v))*sin(u))
g1 = parametric_plot3d(f1, (u,0,2*pi), (v,0,2*pi), color="red")
g2 = parametric_plot3d(f2, (u,0,2*pi), (v,0,2*pi), color="gold")
show(g1+g2, viewer='threejs')

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show(g1+g2, aspect_ratio=1, figsize=10)

Implicit plots

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phi = golden_ratio()
z = var('z')
F = 2 - (cos(x+phi*y) + cos(x-phi*y) + cos(y+phi*z) + cos(y-phi*z) + cos(z-phi*x) + cos(z+phi*x))
r = 4.77
g1 = implicit_plot3d(F, (x,-r,r), (y,-r,r), (z,-r,r), plot_points=40, color='darkkhaki')
show(g1, viewer='threejs')

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