Plots the given polyhedral set(s) in their coordinate space.  The sets must all have either two or three coordinates.

The options parameter is a sequence of name = value pairs.  When there are two coordinates, the plot/options can be specified, and the plot3d/options specified when there are three coordinates.

The style of the faces, edges, vertices and set interiors can be controlled individually by specifying faceoptions = [name = value], edgeoptions = [name = value], vertexoptions = [name = value], or interioroptions = [name = value], where the lists are formed of the valid options from either plot/options or plot3d/options.  Style options specified in options will be applied to the face of highest dimension in polyset.  By default, the faces, edges, vertices and interior are all drawn explicitly to distinguish between bounded and unbounded sets.

If polyset is a list of polyhedral sets, the above options can be given as a list in the form of e.g. faceoptions = [ color = [color1, color2,...], thickness = [10, 12, ...], ...] to style the sets individually.

$\mathrm{with}\left(\mathrm{PolyhedralSets}\right)\:$

$c≔\mathrm{ExampleSets}:-\mathrm{Cube}\left(\right)\:$$\mathrm{Plot}\left(c\right)$

$\mathrm{Plot}\left(c\,\mathrm{faceoptions}=\left[\mathrm{color}=''purple''\,\mathrm{transparency}=0.5\right]\,\mathrm{edgeoptions}=\left[\mathrm{color}=''black''\right]\,\mathrm{vertexoptions}=\left[\mathrm{color}=''red''\,\mathrm{symbolsize}=30\right]\right)$

$p≔\mathrm{PolyhedralSet}\left(\left[y\le 1-3z\,y\le -\frac{1}{3}-\frac{1}{3}z\right]\,\left[x\,y\,z\right]\right)\:$$\mathrm{IsBounded}\left(p\right)$

$\mathrm{false}$

$\mathrm{Plot}\left(p\right)$

$\mathrm{Plot}\left(\mathrm{ExampleSets}:-\mathrm{EmptySet}\left(\left[x\,y\,z\right]\right)\right)$

$\mathrm{pss}≔\mathrm{SplitIntoSimplices}\left(c\right)$

$\mathrm{pss}≔\left[\{\begin{array}{lll}\mathrm{Coordinates}& \:& \left[x_1\,x_2\,x_3\right]\\ \mathrm{Relations}& \:& \left[-x_3\le 1\,-x_2+x_3\le 0\,-x_1+x_2\le 0\,x_1\le 1\right]\end{array}\,\{\begin{array}{lll}\mathrm{Coordinates}& \:& \left[x_1\,x_2\,x_3\right]\\ \mathrm{Relations}& \:& \left[-x_2\le 1\,x_2-x_3\le 0\,-x_1+x_3\le 0\,x_1\le 1\right]\end{array}\,\{\begin{array}{lll}\mathrm{Coordinates}& \:& \left[x_1\,x_2\,x_3\right]\\ \mathrm{Relations}& \:& \left[-x_3\le 1\,x_2\le 1\,-x_1+x_3\le 0\,x_1-x_2\le 0\right]\end{array}\,\{\begin{array}{lll}\mathrm{Coordinates}& \:& \left[x_1\,x_2\,x_3\right]\\ \mathrm{Relations}& \:& \left[-x_2+x_3\le 0\,x_2\le 1\,-x_1\le 1\,x_1-x_3\le 0\right]\end{array}\,\{\begin{array}{lll}\mathrm{Coordinates}& \:& \left[x_1\,x_2\,x_3\right]\\ \mathrm{Relations}& \:& \left[x_3\le 1\,-x_2\le 1\,-x_1+x_2\le 0\,x_1-x_3\le 0\right]\end{array}\,\{\begin{array}{lll}\mathrm{Coordinates}& \:& \left[x_1\,x_2\,x_3\right]\\ \mathrm{Relations}& \:& \left[x_3\le 1\,x_2-x_3\le 0\,-x_1\le 1\,x_1-x_2\le 0\right]\end{array}\right]$

$\mathrm{Plot}\left(\mathrm{pss}\,\mathrm{transparency}=0.3\right)$

The PolyhedralSets[Plot] command was introduced in Maple 2015.

For more information on Maple 2015 changes, see Updates in Maple 2015.