distinction between a polygonal area and a polygonal chain. A space closed polygonal chain is also known as a skew "polygon". A polygonal chain is called monotone...

polygon (/ˈpɒlɪɡɒn/) is a plane figure made up of line segments connected to form a closed polygonal chain. The segments of a closed polygonal chain are...

of a simple polygon can be subdivided into the given polygon itself and into polygonal pockets bounded by a polygonal chain of the polygon together with...

given line and that intersect a polygonal chain in a plane that is not parallel to the given line. The polygonal chain is the directrix of the surface;...

polygonal chain to be merged into a single longer side. Two vertices are neighbors if they are the two endpoints of one of the sides of the polygon....

Euclidean plane is a closed polygonal chain that has each site as one of its vertices, such that any vertical line crosses the chain at most twice. The optimal...

necessarily preserve their length. It consists of a sequence of "staircase" polygonal chains in a unit square, formed from horizontal and vertical line segments...

In geometry, a spirangle is a spiral polygonal chain. Spirangles are similar to spirals in that they expand from a center point as they grow larger, but...

geometry, a polygon is traditionally a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain. These...

the polygonal chain ABCBA is a weakly simple polygon according to this definition: it may be viewed as the limit of "squeezing" of the polygon ABCFGHA...

orthogonal convex hull is a polygon with some degenerate "edges", namely, orthogonally convex alternating polygonal chains with interior angle 90 ∘ {\displaystyle...

polygon is a closed polygonal chain in Euclidean space. It is a figure similar to a polygon except its vertices are not all coplanar. While a polygon...

way? A closely related problem is to show that any non-self-crossing polygonal chain can be straightened, again by a continuous transformation that preserves...

generally any simple polygon, add up to 360° = 2π radians, corresponding to a turning number of 1. More generally, polygonal chains that do not go back...

a continuous piecewise linear function on a compact interval is a polygonal chain. (*) A linear function satisfies by definition f ( λ x ) = λ f ( x...

orthogonal to L intersects the boundary of P at most twice. Similarly, a polygonal chain C is called monotone with respect to a straight line L, if every line...

diameter of a polygon, the number of segments needed to connect each two points in the polygon by a polygonal chain that stays inside the polygon List of gear...

computation of a square root, and therefore the perimeter of a polygon or the length of a polygonal chain takes the form of a sum of radicals. In 1991, Blömer proposed...

Polygon (formerly Matic Network) is a blockchain platform which aims to create a multi-chain blockchain system compatible with Ethereum. As with Ethereum...

cartographic generalisation. Given a polygonal chain (often called a polyline), the algorithm attempts to find a similar chain composed of fewer points. Points...

knot is tame if and only if it can be represented as a finite closed polygonal chain. In knot theory and 3-manifold theory, often the adjective "tame" is...

polygon (Lemma 1), and every Jordan curve can be approximated arbitrarily well by a Jordan polygon (Lemma 2). A Jordan polygon is a polygonal chain,...

vertex-disjoint paths of length at most k. Glossary of graph theory Path graph Polygonal chain Shortest path problem Longest path problem Dijkstra's algorithm Bellman–Ford...

not a true straight line in the geometric sense, but is instead a polygonal chain, a series of many adjoining line segments, following a path between...

generalization of the two-dimensional geometric object, the monotone polygonal chain. As the name may suggest, a major application area of polyhedral terrains...

regular polygons. More generally, the length of any smooth or rectifiable curve can be defined as the supremum of the lengths of polygonal chains inscribed...

two-dimensional simplex is a triangle. Chord (geometry) Diameter Radius Polygonal chain Interval (mathematics) Line segment intersection, the algorithmic problem...

subdivision Causal dynamical triangulation Delta set Loop quantum gravity Polygonal chain – 1 dimensional simplicial complex Tucker's lemma Simplex tree Matoušek...

for Multipoint features consisting of several disconnected points. A Polygonal chain or Polyline is an ordered list of points (termed vertices in this context)...

closed polygonal chain in three-dimensional space (a skew polygon) that is topologically equal to the unknot but cannot be deformed to a simple polygon when...