# plot3d3

mesh plot surface defined by rectangular facets

### Syntax

plot3d3(X,Y,Z [,vect,theta,alpha,leg,flag,ebox]) plot3d3(X,Y,Z, <opt_args>)

### Arguments

- X, Y, Z:
3 real matrices defining a data structure.

- vect
a real vector.

- <opt_args>
This represents a sequence of statements

`key1=value1, key2=value2`

,... where`key1`

,`key2,...`

can be one of the following: theta, alpha ,leg,flag,ebox (see definition below).- theta, alpha
real values giving in degree the spherical coordinates of the observation point.

- leg
string defining the labels for each axis with @ as a field separator, for example "X@Y@Z".

- flag
a real vector of size four.

`flag=[vertical_color, horizontal_color,type,box]`

.- vertical_color
an integer (surface color), default is 3.

Colormap index defining the color used to draw vertical edges.

- horizontal_color
an integer (surface color), default is 4.

Colormap index defining the color used to draw horizontal edges.

- type
an integer (scaling) default is 2.

- 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.

- type=3:
3d isometric with box bounds given by optional

`ebox`

, similarily to`type=1`

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

`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), default is 4.

- 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).

- 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).

### Description

`plot3d3`

performs a mesh plot of a surface defined by
rectangular facets. (X,Y,Z) are three matrices which describe a surface.
The surface is composed of four sided polygons.

The X-coordinates of a facet are given by X(i,j), X(i+1,j), X(i+1,j+1) and X(i,j+1). Similarly Y and Z matrices contain Y and Z-coordinates.

The `vect`

vector is used when multiple surfaces are coded
in the same (X,Y,Z) matrices. `vect(j)`

gives the line at which
the coding of the jth surface begins. See `plot3d2`

for a full
description. As a mesh plot, the only available property you can edit is
the `visible`

option (see axes_properties).

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