Hyperboloid of One Sheet:

> implicitplot3d( x^2+y^2-z^2=1, x=-3..3, y=-3..3, z=-2..2, grid=[9,9,9], orientation=[45,-105], scaling=constrained, axes=boxed );

>

> plot3d( { [r*cos(t), r*sin(t), sqrt(-1+r^2) ], [ r*cos(t), r*sin(t), -sqrt(-1+r^2) ] }, r=1..4, t=0..2*Pi, view=[-3..3,-3..3,-2..2], orientation=[45,-105], scaling=constrained, axes=boxed );

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