The triangulate command takes a POLYGONS or POINTS structure and returns a POLYGONS structure containing a set of triangles which cover the region defined by p.

If p is a POLYGONS structure, the result is a POLYGONS structure consisting only of triangles which covers the region defined by p. Note the polygons in the input p are not required to be convex.

If p is a POINTS structure, the result is a POLYGONS structure consisting only of triangles in which every point in p appears as a corner of some triangle.

The options opts should consist of options supported by plottools[polygon].

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

$\mathrm{pts}≔\left[\left[391\,374\right]\,\left[240\,431\right]\,\left[252\,340\right]\,\left[374\,320\right]\,\left[289\,214\right]\,\left[134\,390\right]\,\left[68\,186\right]\,\left[154\,259\right]\,\left[161\,107\right]\,\left[435\,108\right]\,\left[208\,148\right]\,\left[295\,160\right]\,\left[421\,212\right]\,\left[441\,303\right]\right]$

$\mathrm{pts}≔\left[\left[391\,374\right]\,\left[240\,431\right]\,\left[252\,340\right]\,\left[374\,320\right]\,\left[289\,214\right]\,\left[134\,390\right]\,\left[68\,186\right]\,\left[154\,259\right]\,\left[161\,107\right]\,\left[435\,108\right]\,\left[208\,148\right]\,\left[295\,160\right]\,\left[421\,212\right]\,\left[441\,303\right]\right]$

$P≔\mathrm{plottools}:-\mathrm{polygon}\left(\mathrm{pts}\right)$

$Q≔\mathrm{triangulate}\left(P\,\mathrm{style}\=\mathrm{line}\right)$

$\mathrm{POLYGONS}\left(\left[\begin{array}{cc}391.0& 374.0\\ 240.0& 431.0\\ 252.0& 340.0\end{array}\right]\,\left[\begin{array}{cc}161.0& 107.0\\ 435.0& 108.0\\ 208.0& 148.0\end{array}\right]\,\left[\begin{array}{cc}208.0& 148.0\\ 295.0& 160.0\\ 421.0& 212.0\end{array}\right]\,\left[\begin{array}{cc}421.0& 212.0\\ 441.0& 303.0\\ 391.0& 374.0\end{array}\right]\,\left[\begin{array}{cc}154.0& 259.0\\ 161.0& 107.0\\ 208.0& 148.0\end{array}\right]\,\left[\begin{array}{cc}391.0& 374.0\\ 252.0& 340.0\\ 374.0& 320.0\end{array}\right]\,\left[\begin{array}{cc}134.0& 390.0\\ 68.0& 186.0\\ 154.0& 259.0\end{array}\right]\,\left[\begin{array}{cc}134.0& 390.0\\ 154.0& 259.0\\ 208.0& 148.0\end{array}\right]\,\left[\begin{array}{cc}289.0& 214.0\\ 134.0& 390.0\\ 208.0& 148.0\end{array}\right]\,\left[\begin{array}{cc}421.0& 212.0\\ 391.0& 374.0\\ 374.0& 320.0\end{array}\right]\,\left[\begin{array}{cc}289.0& 214.0\\ 208.0& 148.0\\ 421.0& 212.0\end{array}\right]\,\left[\begin{array}{cc}421.0& 212.0\\ 374.0& 320.0\\ 289.0& 214.0\end{array}\right]\,\mathrm{STYLE}\left(\mathrm{LINE}\right)\right)$

The plottools[triangulate] command was introduced in Maple 2020.

For more information on Maple 2020 changes, see Updates in Maple 2020.