Hyperboloid

Author

Eric W. Weisstein
May 29, 2013

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Surfaces/Hyperboloid.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Hyperboloid.html.

©2013 Wolfram Research, Inc. except for portions noted otherwise

Plot

surf1[a_,c_][u_,v_]:={a Sqrt[1+u^2]Cos[v],a Sqrt[1+u^2]Sin[v],c u}
surf2[a_,c_][u_,v_]:={a Sinh[u]Cos[v],a Sinh[u]Sin[v],c u/Sqrt[u^2]Cosh[u]}

GraphicsRow[ParametricPlot3D[#[1,1][u,v],{u,-2,2},{v,0,2π},Boxed->False,Axes->False]&/@{surf1,surf2},ImageSize->400,Spacings->-50]