ImplicitData3

Gathers x,y,z point data from a 3D implicit function

Unlike every other form of plot, fimplicit3 does not generate X,Y,Z point data (even fimplicit does this in 2D). To get around this, and get the data from a 3D implicit function, It is necessary to transform the problem into a series of 2D problems, which can be solved using the 2D fimplicit function. This function accomplishes this for general 3D functions.
Inputs:
Function -- The same 3D function handle that you would pass to the
implicit surface function fimplicit3. This is the
function that we're gettinbg data from
Lims -- An array of coordinate limits [X-,X+,Y-,Y+,Z-,Z+] or
[Lower Upper] for a cubic region. This is the same as
the "LIMS" argument for fimplicit3
MeshDensity -- The number of points evaluated along each axis. This is
the same as the "MeshDensity" name-value parameter for
fimplicit3

Outputs:
x,y,z -- Vectors of the X, Y, and Z-coordinates of points on the
implicit surface