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...

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;...

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...

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...

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....

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...

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...

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...

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...

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

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...

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...

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

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

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

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...

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...

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...

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...

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

intervening line. A polygonal chain or polyline, a connected set of line segments, defined by an ordered list of points. A polygon, representing a region...

which is the polygon itself. The other regions, bounded by a polygonal chain of the polygon and a single convex hull edge, are called pockets. Computing...

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

distance between two points in a polygon is the minimum number of line segments of any polygonal chain within the polygon that has the two points as its...

component. A polygonal knot is a knot whose image in R3 is the union of a finite set of line segments. A tame knot is any knot equivalent to a polygonal knot...

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

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...