CreateMesh(function, [s0, s1, t0, t1], [sgrid, tgrid], [fmap])
Returns a nested array of three matrices representing the x,y, and z-coordinates of
a parametric surface defined by the function of two variables in the first argument.
CreateSpace(function, [t0, t1], [tgrid], [fmap]) Returns
a nested array of three vectors representing the x,y, and z-coordinates of a parametric space curve defined by the function of one variable in the first argument.
Arguments:
function The first argument
is one of the following:
F(x, y) a real, parametric, vector-valued
function specifying the x,y, and z values, for example
G(x,y) a real, scalar-valued function of
x and y that specifies
only the z-values, for example
This type of function cannot be used with CreateSpace.
f1(x, y), f2(x, y), f3(x, y) three real,
parametric, scalar-valued functions, separated by commas in the argument
list, for example
Each function must be defined as a function of two variables, even if
only one variable is used.
For CreateSpace, the functions supplied must be functions of a single
parameter instead of two parameters.
s0, s1 (optional) are the real lower and upper
bounds of the range for the first independent variable, u
or x. The default values are −5 and 5.
t0, t1 (optional) are the real lower and upper
bounds of the range for the second independent variable, v
or y. The default values are −5 and 5. If s0,
s1 are specified, t0, t1
must be specified.
sgrid, tgrid (optional) are the positive integer
number of gridpoints in u and v. The default values are 20. The number of
cells in the grid created is (sgrid −1) × (tgrid
−1).
fmap (optional) is a real, three-element, vector-valued
function of three variables that defines a mapping
from any coordinate system to Cartesian coordinates, for example
Notes:
Functions are specified to CreateMesh without their arguments.
CreateMesh is used internally by Mathcad when making 3D QuickPlots
of functions of two variables.
Note that you can also switch coordinate systems within a 3D
plot, rather than converting coordinates explicitly to cartesian.
