`Polygon`#

A polygon is defined by its ordered list of vertices.

Figure made with TikZ

To do so, use the parameter _vertices.

_nnodes can take one single value, an explicit list of values or a Numbers object and _hsteps can take one real value, an explicit list of real values or a Reals object. The vector sizes are the number of vertices (same as the number of edges for a polygon). If required, give the names of main domain and side domains as explained in Geometry definition:

std::vector<Point> p(5);
p[0]=Point(0.,0.);
p[1]=Point(8.,0.);
p[2]=Point(9.,4.);
p[3]=Point(5.,2.);
p[4]=Point(1.,4.);
Polygon poly1(_vertices=p, _nnodes=Numbers(15, 10, 8, 8, 10), _domain_name="Omega", _side_names="Sigma");

Let’s summarize information about geometrical keys on polygons:

key(s)	authorized types	examples
`_vertices`	vector of `Point`	`std::vector<Point> vp; ...) _vertices=vp`

Hint

Parametrization of polygon is a piecewise parametrization built from a triangle partitionning (splitInTriangles() using an ‘earcut’ algorithm).

Particular polygons class inheriting from Polygon class.

Polygon#

`Polygon`#