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].

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

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

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

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

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

$Q≔\mathrm{POLYGONS}\left(\left[\begin{array}{cc}391.& 374.\\ 240.& 431.\\ 252.& 340.\end{array}\right]\,\left[\begin{array}{cc}161.& 107.\\ 435.& 108.\\ 208.& 148.\end{array}\right]\,\left[\begin{array}{cc}208.& 148.\\ 295.& 160.\\ 421.& 212.\end{array}\right]\,\left[\begin{array}{cc}421.& 212.\\ 441.& 303.\\ 391.& 374.\end{array}\right]\,\left[\begin{array}{cc}154.& 259.\\ 161.& 107.\\ 208.& 148.\end{array}\right]\,\left[\begin{array}{cc}391.& 374.\\ 252.& 340.\\ 374.& 320.\end{array}\right]\,\left[\begin{array}{cc}134.& 390.\\ 68.& 186.\\ 154.& 259.\end{array}\right]\,\left[\begin{array}{cc}134.& 390.\\ 154.& 259.\\ 208.& 148.\end{array}\right]\,\left[\begin{array}{cc}289.& 214.\\ 134.& 390.\\ 208.& 148.\end{array}\right]\,\left[\begin{array}{cc}421.& 212.\\ 391.& 374.\\ 374.& 320.\end{array}\right]\,\left[\begin{array}{cc}289.& 214.\\ 208.& 148.\\ 421.& 212.\end{array}\right]\,\left[\begin{array}{cc}421.& 212.\\ 374.& 320.\\ 289.& 214.\end{array}\right]\,\mathrm{STYLE}\left(\mathrm{LINE}\right)\right)$

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

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