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# param3d1

3D plot of parametric curves

### Syntax

param3d1(x,y,z,[theta,alpha,leg,flag,ebox]) param3d1(x,y,list(z,colors),[theta,alpha,leg,flag,ebox])

### Arguments

- x,y,z
matrices of the same size (nl,nc).

Each column i of the matrices corresponds to the coordinates of the ith curve. You can give a specific color for each curve by using

`list(z,colors)`

instead of`z`

, where`colors`

is a vector of size`nc`

. If`color(i)`

is negative the curve is plotted using the mark with id`abs(style(i))`

; if`style(i)`

is strictly positive, a plain line with color id`style(i)`

or a dashed line with dash id`style(i)`

is used.- theta,alpha
real values giving in degree the spherical coordinates of the observation point.

*The default values are 35 and 45 degree.*- leg
string defining the captions for each axis with @ as a field separator, for example "X@Y@Z".

- flag=[type,box]
`type`

and`box`

have the same meaning as in`plot3d`

:- type
an integer (scaling).

- type=0
the plot is made using the current 3D scaling (set by a previous call to

`param3d`

,`plot3d`

,`contour`

or`plot3d1`

).- type=1
rescales automatically 3d boxes with extreme aspect ratios, the boundaries are specified by the value of the optional argument

`ebox`

.- type=2
rescales automatically 3d boxes with extreme aspect ratios, the boundaries are computed using the given data.

*This is the default value.*- type=3
3d isometric with box bounds given by optional

`ebox`

, similarily to`type=1`

.- type=4
3d isometric bounds derived from the data, similarily

`to type=2`

.- type=5
3d expanded isometric bounds with box bounds given by optional

`ebox`

, similarily to`type=1`

.- type=6
3d expanded isometric bounds derived from the data, similarily to

`type=2`

.Note that axes boundaries can be customized through the axes entity properties (see axes_properties).

- box
an integer (frame around the plot).

- box=0
nothing is drawn around the plot.

- box=1
unimplemented (like box=0).

- box=2
only the axes behind the surface are drawn.

- box=3
a box surrounding the surface is drawn and captions are added.

- box=4
a box surrounding the surface is drawn, captions and axes are added.Note that axes aspect can also be customized through the axes entity properties (see axes_properties).

*This is the default value.*

- ebox
It specifies the boundaries of the plot as the vector

`[xmin,xmax,ymin,ymax,zmin,zmax]`

. This argument is used together with`type`

in`flag`

: if it is set to`1`

,`3`

or`5`

(see above to see the corresponding behaviour). If`flag`

is missing,`ebox`

is not taken into account. Note that, when specified, the`ebox`

argument acts on the`data_bounds`

field that can also be reset through the axes entity properties (see axes_properties). The`ebox`

default value is`[0,1,0,1,0,1]`

.

### Description

`param3d1`

is used to plot 3D curves defined by
their coordinates `x`

, `y`

and
`z`

. Note that data can also be got or modified through
the surface entity properties (see surface_properties).

Note that properties like `rotation angles`

,
`colors`

and `thickness`

of the plotted
curves can also be got or modified through the polyline entity properties
(see polyline_properties).

Enter the command `param3d1()`

to see a
demo.

### Examples

scf(20); // create a window number 20 t=[0:0.1:5*%pi]'; param3d1([sin(t),sin(2*t)],[cos(t),cos(2*t)],.. list([t/10,sin(t)],[3,2]),35,45,"X@Y@Z",[2,3]) xdel(20); a=gca();//get the handle of the newly created axes t=[0:0.1:5*%pi]'; param3d1([sin(t),sin(2*t)],[cos(t),cos(2*t)],[t/10,sin(t)]); a.rotation_angles=[65,75]; a.data_bounds=[-1,-1,-1;1,1,2]; //boundaries given by data_bounds a.thickness = 2; h=a.children; //get the handle of the param3d entity: an Compound composed of 2 curves h.children(1).foreground = 3; // first curve curve2 = h.children(2); curve2.foreground = 6; curve2.mark_style = 2;

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