1828.sagews

var('x, y')
parametric_plot3d( ( (3+cos(u))*cos(v), (3+cos(u))*sin(v), sin(u)), (u,0,9), (v,0,9), aspect_ratio=[1,1,1], frame=False)+ text3d("Torus or 'Donut'",(1,1,2))

var('u, v')
parametric_plot3d( (cosh(u)*cos(v), cosh(u)*sin(v), sinh(u)), (u,-2,2), (v,0,9) ) + text3d("Hyperboloid x^2+y^2-z^2=1",(2,-2,0))

var('u, v')
parametric_plot3d( (u*cos(v), u*sin(v), u), (u,-2,2), (v,0,9) ) + parametric_plot3d( (u*cos(v), u*sin(v), -u), (u,-2,2), (v,0,9) ) + text3d("Cone z^2=x^2+y^2",(2,-2,0))

var('u, v')
parametric_plot3d( (sinh(u)*cos(v), sinh(u)*sin(v), cosh(u)), (u,-2,2), (v,0,9) ) + parametric_plot3d( (sinh(u)*cos(v), sinh(u)*sin(v), -cosh(u)), (u,-2,2), (v,0,9) ) + text3d("Hyperboloid z^2-x^2-y^2-z^2=1",(2,-2,0))