# plot3d2

plot surface defined by rectangular facets

## Calling Sequence

    plot3d2(X,Y,Z [,vect,theta,alpha,leg,flag,ebox])
                plot3d2(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 three. `flag=[mode,type,box]`.

  mode

    an integer (surface color).

    mode>0

      the surface is painted with color `"mode"` ; the boundary of the facet is drawn with current line style and color.

    mode=0:

      a mesh of the surface is drawn.

    mode<0:

      the surface is painted with color `"-mode"` ; the boundary of the facet is not drawn.

      Note that the surface color treatement can be done using `color_mode` and `color_flag` options through the surface entity properties (see surface_properties).

  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.

    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).

    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 acoount.

  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

`plot3d2` plots 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. Like in `plot3d`, the same properties are editable (see surface_properties and axes_properties).

## Examples

    u = linspace(-%pi/2,%pi/2,40);
    v = linspace(0,2*%pi,20);
    X = cos(u)'*cos(v);
    Y = cos(u)'*sin(v);
    Z = sin(u)'*ones(v);
    plot3d2(X,Y,Z);
    e=gce();
    e.color_mode=4; // change color
    f_data=e.data;
    TL = tlist(["3d" "x" "y" "z" "color"],f_data.x,f_data.y,f_data.z,10*(f_data.z)+1);
    e.data=TL;
    e.color_flag=2;

u = linspace(-%pi/2,%pi/2,40); v = linspace(0,2*%pi,20); X = cos(u)'*cos(v); Y = cos(u)'*sin(v); Z = sin(u)'*ones(v); plot3d2(X,Y,Z); e=gce(); e.color_mode=4; // change color f_data=e.data; TL = tlist(["3d" "x" "y" "z" "color"],f_data.x,f_data.y,f_data.z,10*(f_data.z)+1); e.data=TL; e.color_flag=2;

## See Also

- plot3d
- genfac3d