how to draw the hyperboloid of one sheet?

Hyperboloid of one sheet x^2 + y^2 − z^2 = 1.

how to plot it in matlab?

Answer 1

[John D'Errico]

help fimplicit3

 FIMPLICIT3   Plot implicit surface
 
    FIMPLICIT3(FUN) plots the surface where FUN(X,Y,Z)==0 between the axes limits,
     with a default range of [-5 5].
 
    FIMPLICIT3(FUN,LIMS) uses the given limits. LIMS can be [XYZMIN XYZMAX]
     with XYZMIN <= X <= XYZMAX, and XYMIN <= Y <= XYMAX, and XYMIN <= Z <= XYMAX,
     or [XMIN XMAX YMIN YMAX ZMIN ZMAX].
 
    FIMPLICIT3(...,'LineSpec') plots with the given line specification,
     using the color for the surface.
 
    H = FIMPLICIT3(...) returns a handle to the function line object created by FIMPLICIT3.
 
    FIMPLICIT3(AX,...) plots into the axes AX instead of the current axes.
 
 
  Examples:
    fimplicit3(@(x,y,z) x.^2+y.^2+z.^2 - 9)
 
    fimplicit3(@(x,y,z) x.^2-y.^2-z.^2)
 
    fimplicit3(@(x,y,z) x.^2-y.^2.*z)
 
    fimplicit3(@(x,y,z) x.^2.*y.*z+y.^3-z.^3)
 
    fimplicit3(@flow, [-6, 0.25, -10, 10, -10, 10], 'MeshDensity',100)
 
    fimplicit3(@(x,y,z) 5*x.*(x.^2-5*y.^2)+z.^2.*(1+z)+2*x.*y+2*y.*z, ...
      [-1 1 -1 1 -1.5 0.5])
 
      See also FIMPLICIT, FSURF, FPLOT, FCONTOUR, FUNCTION_HANDLE.

    Documentation for fimplicit3
       doc fimplicit3

    Other uses of fimplicit3

       symbolic/fimplicit3