WebA strictly convex polygon is a convex polygon such that no line contains two of its edges. In a convex polygon, all interior angles are less than or equal to 180 degrees, while in a strictly convex polygon all interior angles are strictly less than 180 degrees. Properties. The following properties of a simple polygon are all equivalent to convexity: ...

WebThe convex hull of a simple polygon (blue). Its four pockets are shown in yellow; the whole region shaded in either color is the convex hull. In discrete geometry and computational geometry, the convex hull of a simple polygon is the polygon of minimum perimeter that contains a given simple polygon. It is a special case of the more general ...

WebA non-convex regular polygon is called a regular star polygon. Miscellaneous. Rectilinear: the polygon's sides meet at right angles, i.e. all its interior angles are 90 or 270 degrees. Monotone with respect to a given line L: every line orthogonal to L intersects the polygon not more than twice. Properties and formulas. Partitioning an n-gon into n − 2 triangles. …

WebIn geometry, a convex polygon is a polygon that is the boundary of a convex set. This means that the line segment between two points of the polygon is contained in the union of the interior and the boundary of the polygon. In particular, it is a simple polygon .[1] Equivalently, a polygon is convex if every line that does not contain any edge intersects …

WebA polygon that is not a convex polygon is sometimes called a concave polygon, and some sources more generally use the term concave set to mean a non-convex set, but most authorities prohibit this usage. The complement of a convex set, such as the epigraph of a concave function, is sometimes called a reverse convex set, especially in the …

WebA convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the -dimensional Euclidean space .Most texts use the term "polytope" for a bounded convex polytope, and the word "polyhedron" for the more general, possibly unbounded object. Others (including this article) allow polytopes to be …

WebEuclidean tilings by convex regular polygons. A regular tiling has one type of regular face. A semiregular or uniform tiling has one type of vertex, but two or more types of faces. A k -uniform tiling has k types of vertices, and two or more types of regular faces. A non-edge-to-edge tiling can have different-sized regular faces.

WebIn Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex, star or skew.In the limit, a sequence of regular polygons with an increasing number of sides approximates a circle, if the perimeter or area is fixed, or a …

WebThe properties of the convex polygon are as follows: The interior angle of a convex polygon is strictly less than 180°. A polygon, with at least one interior angle, is greater than 180° is called a non-convex polygon or concave polygon. Sum of all the interior angles of a polygon of n sides = (n – 2)180°. The diagonals of the convex ...

WebMathematics [ edit] Convex set, containing the whole line segment that joins points. Convex polygon, a polygon which encloses a convex set of points. Convex polytope, a polytope with a convex set of points. Convex metric space, a generalization of the convexity notion in abstract metric spaces. Convex function, when the line segment between any ...