Graphs of a hyperbolic cylinder

Contents

Here are two ways to graph the hyperbolic cylinder

$$x^2\,\mbox{--}\,y^2=1$$

in three dimensional space. Because the cylinder has two pieces, I need two graphs, one for each piece, displayed together.

The grid

I start by creating the grid of points for plotting.

u=linspace(-2,2,50); v=linspace(-2,2,50);
[U,V]=meshgrid(u,v);

Using mesh

mesh(cosh(U),sinh(U),V), hold on
mesh(-cosh(U),sinh(U),V), hold off

Using surf

surf(cosh(U),sinh(U),V), hold on
surf(-cosh(U),sinh(U),V), hold off


Published with MATLAB® 7.9