Definitions for

**"polygon "****Related Terms:**Triangle, Perpendicular bisector, Altitude of a triangle, Diagonal, Convex polygon, Hexagonal, Tetragonal, Apothem, Polyhedron, Concave polygon, Rectangle, Quadrilateral, Mesh, Regular polygon, Rectangular, Median of a triangle, Decagon, N-gon, Equilateral triangle, Square, Polytope, Rectangular prism, Trigon, Asymmetrical, Rhombus, Rhomboid, Inscribed polygon, Isosceles, Platonic solid, Scalene triangle, Axis of symmetry, Alternate interior angles, Symmetrical, Right triangle, Isosceles trapezoid, Cyclic quadrilateral, Asymmetry, Kite , Octahedron, Isometric, Hexagon, Icosahedron, Bilaterally symmetrical, Polyiamond, Isosceles triangle, Hypotenuse, Pythagorean theorem, Regular polyhedron, Rhombohedron

polygon is a set of PHP classes that can be used to perform different types of geometric operations with arbitary polygons. It provides generic polygon and vertex classes that support mixing lines and arc segments between vertices. Polygons may be self-intersecting, convex, or concave. It provides means to perform intersection and union operations with the shapes and to compute shape clipping.

A plane figure having many angles, and consequently many sides; esp., one whose perimeter consists of more than four sides; any figure having many angles.

Polygons are two-dimensional shapes with any number of corners. Polygons are used for display in VRML, amongst other things.

a geographic (spatial) area enclosed by a series of lines. Also called 'area'

A polygon is a shape that is composed of closed arcs; examples are counties, lakes, and islands. From a mathematical perspective, a polygon has an area, an inside and an outside, and a perimeter.

a closed, two-dimensional figure with three or more sides and intersections. For example, a polygon could be represented as an enclosed geographic area such as a land parcel or political jurisdiction.

A closed figure with at least 3 straight sides, like a square or octagon.

A multisided figure that represents area on a map. A feature defined by the arcs that make up its boundary. Every polygon contains one label point within its boundary. Polygons have attributes that describe the geographic feature they represent.

a closed curve composed of line segments that meet or intersect at their endpoints or vertices

(1) A closed two-dimensional figure consisting of line segments (sides) connected endpoint to endpoint.

A closed plane figure with three or more sides

Line segments joined together to form a closed figure. Rectangles, squares, pentagons are all examples of polygons.

Any shape that is totally enclosed (e.g., circle, square) or any irregular shape that can be defined, such as census tracts, state or county boundaries, and school districts.

A multisided geometric shape that represents an area on a map.

The building blocks of all 3D objects (usually triangles or rectangles) used to form the surfaces and skeletons of 3D objects.

A feature which represents areal elements. Polygons are defined by bounding arcs and contain one label point which relate to the attribute table.

A two-dimensional figure with three or more sides intersecting at a like number of points. It is defined or bounded by a closed line or arc and has attributes that describe its geographic features.

Closed figure representing an area on a map. A polygon can be represented by a single arc or string which closes upon itself.

A closed figure with three of more straight sides.

A simple closed shape composed of a finite number of line segments, each of which intersects exactly two of the other segments, one at each endpoint

A coverage feature class used to represent areas. A polygon is defined by the arcs that make up its boundary and a point inside its boundary for identification. Polygons Attributes (PAT) describe the geographic feature they represent.

A closed plane figure bounded by straight sides.

2 dimensional vector object (i.e., has area). Polygons are defined by a set of arcs with a common topology.

In StudioTools, a polygon is either a 4-sided quadrilateral (such as a rectangle) or a 3-sided triangle.

A closed plane figure with straight sides.

noun - A two-dimensional shape; bounded by line segments. An example of a polytope.

popupid: Polygon](Engine) A triangle that is used in the composition of the visible Half-Life universe. The engine typically renders two types of polygons; epoly and wpoly. (Geometry) A flat shape on a single Plane that is bounded by Side s and Vertex es.

A three or more sided 2D shape from which 3D objects are made.

A shape formed by connecting a series of points (vertices). A triangle is a polygon with three vertices; a square is a polygon with four vertices

A two-dimensional closed figure with at least three sides that represents an area.

A 2-dimensional figure, all of whose sides are line segments connected end to end, so that each segment intersects exactly two others at its endpoints. The word comes from the Greek language: poly means many and gon is short for gonia which means angle.

A shape made up of several straight lines bound together, like a triangle, a square, or a pentagon.

Polygon is the term used to describe the smallest unit into which a 3D object can be broken down. These triangles consist either of three, two or only one vertex; in theory, all the vertices of a triangle can be brought together into one.

A closed figure formed by three or more line segments that do not intersect other than at the vertices.

The basic unit for a 3D object. Most polygons are defined by 3 edges and are triangular in shape. Objects can be defined by any number of polygons, the more polygons which are used, the more detailed the object is.

A plane figure formed by coplanar segments such that 1. each segment intersects exactly two other segments, one at each endpoint; and 2. no two segments with a common endpoint are collinear.

a closed, geometric figure bounded by lines or arcs. Polygons can be filled in to represent a surface.

A multisided enclosed shape with at least three sides.

a simple closed figure with straight sides

A Closed Figure on a Plane Defined by Straight Lines

A closed chain of line segments ( pi, pi+1) for 0 = = -1 and ( pn-1, p0) , where = 3. The polygon is represented by its vertices = ( p0, p1,..., pn-1). 2 Polygons

a figure in a plane formed by some number of straight sides.

a closed geometric figure whose sides intersect each other at their endpoints.

a bounded region of a plane

a closed figure composed of three or more line segments that intersect at their endpoints

a closed figure (each line segment must intersects exactly two other line segments)

a closed figure formed by a finite number of coplanar segments such that the sides that have a common endpoint are noncollinear and each side intersects exactly two other sides but only at their endpointsWow that is prettytechnical

a closed figure made by joining line segments, where each line segment intersects exactly two others

a closed figure with more than two sides

a closed figure with three or more points and may be filled or drawn with an outline

a closed loop coordinate string

a closed path, so the last point is always linked with the first one

a closed plane figure bounded by straight line segments

a closed polyline

a closed region bounded by straight lines

a closed set of edges

a closed shape that may or may not be filled with the currently selected color, and it is the basis of all solid-object composition in OpenGL

a collection of points used to create a series of line segments

a combination of triangles

a compact subset of the plane whose interior is contractible and whose boundary consists of finitely many line segments

a figure or plane having many sides and/or angles, usually more than four

a figure that can have any number of sides

a figure that is formed by three or more coplanar segments called sides

a figure with three or more segments that lie on the same plane that intersect only at endpoints with no two segments colinear

a flat closed shape of three or more straight sides

a flat, closed, three-dimensional entity

a flat shape with three or more straight sides

a geometric figure in two dimensions with three or more sides

a geometric figure made up of a sequence of connected line segments

a many sided figure

a many-sided shape

a multiple-sided closed figure

a multi-sided shape

an area defined by lines

an enclosed shape with three or more edges

an n-sided "triangle"

a part of a plane limited by straight lines

a planar, closed multi-sided figure

a planar Surface representing a multisided geometry, defined by one exterior boundary and zero or more interior boundaries

a plane closed figure, the sides of which are all straight lines

a plane figure demarcated by straight sides

a plane figure with three or more sides and equal number of angles

a plane shape with straight sides

a region or area

a series of connected lines with the whole shape being closed

a set of coplanar faces

a shape that is formed by line segments placed end to end, creating a continuous closed path

a square on the plane you see

a straight-sided closed geometric figure

a two-dimensional closed shape defined by connections between points or vertices

Vertices connected by sides in a model that define a plane in 3D space

thematically homogenous areas composed of one or more faces.

A union of segments connected end to end, such that each segment intersects exactly two others at its endpoints.

A two-dimensional figure with three or more sides intersecting at a like number of points. In Geographic Information Systems, an area.

A vector representation of an enclosed region, described by a sequential list of vertices or mathematical functions.

Area enclosed by a line describing spatial elements.

A near-planar surface bounded by edges specified by vertices. Each triangle of a triangle mesh is a polygon, as is each quadrilateral of a quadrilateral mesh. The rectangle specified by glRect*() is also a polygon.

In a GIS framework, a polygon is a closed line (or a closed set of lines) representing a surface. The surface is generally homogeneous with respect to some criteria; for example, land use or type, administrative units, etc. Map coordinates (easting, northing and height) are associated to the vertices of the polygon.

A three dimensional shape. Before the appearance of today's giant super computers, they tended to look like crap. Now they only look awful about half of the time. This, gentleman, is progress.

In Aladdin 4D, an entity used to create objects, consisting of at least two points. In real world usage, a multi-sided object delineated by at least three points. But we can ignore the real world here.

An area enclosed by lines. It is two-dimensional; the area enclosed by a polygon has length and width.

In terms of Geographic Information Systems (GIS), a polygon is a feature defined by a series of sequential co-ordinates that join up to make a closed shape. Examples of polygons include buildings, tracts of water and any geographic units (electoral wards, districts, health authorities etc).

Any area bounded by a closed line or series of lines. This a land parcel is also a polygon

The building blocks of all 3D objects (triangles in the case of Alambik) used to form the surfaces and skeletons of 3D objects.

(n) A plane figure bounded by straight lines. If the sides are of equal length and form equal angles with each other, the polygon is considered a regular polygon (e.g., a square or hexagon).

a closed geometric figure in a plane, formed by connecting ine segments endpoint to endpoint with each segment intersecting exactly two others

A closed 2-dimensional (plane) figure bounded by 3 or more sides used in a mapping system or GIS which has distinct, unique characteristics. Related term vector systems.

an area enclosed by lines in a vector-based Geographic Information System data layer or a region of contiguous homogeneous pixels in a raster system

A polygon is a closed convex geometric figure with three of more sides. A regular polygon is one with equal sides and equal interior angles. Some special polygons: triangle: a polygon of three sides quadrilateral: a polygon of four sides pentagon: a polygon of five sides hexagon: a polygon of six sides heptagon: a polygon of seven sides octagon: a polygon of eight sides nonagon: a polygon of nine sides decagon: a polygon of ten sides n-gon: a polygon of n sides

An area bounded by a closed line. It is used to describe spatial elements, such as housing and industrial units. In the GIS system a polygon is mostly related to a building drawn on a map.

a closed geometric entity used to graphically represent area features with associated attributes.

a closed plane figure whose sides are straight lines that are connected end-point to end-point.

A closed, two dimensional figure with three or more sides and intersections, e.g. a geographic area such as a field or other land unit.

Any closed shape with four or more sides. In 3D, complex objects like teapots are decomposed, or "tessellated", into many primitive polygons to allow regular processing of the data, and hardware acceleration of that processing.

A class of spatial objects having area and perimeter, and representing a closed boundary region of uniform characteristics.

The basic 2D element from which 3D objects are constructed. Most polygons in video games are triangles.

On a map, a closed shape defined by a connected sequence of x,y coordinate pairs, where the first and last coordinate pair are the same and all other pairs are unique. Used for: Custom Mapping

(Spatial User's Guide and Reference; search in this book)

A two-dimensional, closed figure consisting of line segments (sides) connected endpoint to endpoint. The interior of a polygon consists of all the points of the plane “inside” the polygon. An -gon is a polygon with n sides; for example, an 8-gon has 8 sides.

A closed plane figure made by line segments.

a closed, two-dimensional figure of three or more sides, each of which are (straight) line segments; see triangle, quadrilateral, pentagon, hexagon, etc.

A representation of an enclosed region defined by an arc or a series of arcs that make up its boundary. Polygons may have attributes describing the region they represent, such as the population of a census ward.

A connected two-dimensional figure bounded by line segments, called sides, with exactly two sides meeting at each vertex.

A closed figure having straight sides.

A bounded area on a map that represents something (an area feature such as a lake, field, forest type, or hunting area) on the land that is large enough to be shown to scale. A polygon can be identified through the use of a particular color, pattern, or code.

GIS feature that is a collection of lines that describe an area, such as a lake.

A high level term used to describe triangles, trapezoids, pentagons, hexagons and octagons.

A closed plane figure made up of several line segments that are joined together.

A closed area that is described by a string of coordinates that represent the boundary of the area. The beginning and ending points are the same. A series of attributes are usually assigned to the set of boundary coordinates that make up the unit.

Geometric figure: a closed plane figure bounded by straight lines. 3D graphics usually consist of large amounts of polygons.

An irregular shape determined by joining points in succession with lines. Polygons are closed shapes.

A closed plane figure formed by three or more line segments that do not cross over each other.

a closed plane (flat, two-dimensional) figure bounded by straight lines; polygons may be regular or irregular. Poly=many Gon=angle

A two-dimensional figure that consists of a collection of line segments, joined at their ends.

A polygon (from the Greek poly, for "many", and gwnos, for "angle") is a closed planar path composed of a finite number of sequential straight line segments.

A closed plane figure with more than four sides and angles.

The union of three or more coplanar segments such that each endpoint is shared by exactly two segments; segments intersect only at their endpoints; and intersecting segments are noncollinear.

A plane figure consisting of three or more vertices (points) connected by line segments or sides.

A closed geometric figure in a plane in which line segments connect endpoint to endpoint and each segment intersects exactly two others (Lesson 2.5).

literally means many angled; polygons are closed, multi-sided, roughly equidimensional shapes, bounded by more or less straight sides; some of the sides may be irregular; in cryospheric science, it refers to patterned ground formations.

An n-sided shape defined by a group of ordered vertices and the edges that are defined between pairs of those vertices. Polygons can be either simple shapes, such as polygonal primitives, or complex models built from the various Maya polygonal tools. A polygonal object can be closed, open, or made up of shells, which are disjointed pieces of geometry. In other software packages, known as mesh.

A polygon (, from Greek, literally "many-angle") is a plane figure that is bounded by closed planar paths composed of a finite number of sequential line segments. The straight line segments that make up the boundary of the polygon are called its edges or sides and the points where the edges meet are the polygon's vertices. The polygon is called simple, if its boundary is described by exactly one closed path that has no self-intersections.

Polygons are used in computer graphics to compose images that are three-dimensional in appearance. Usually (but not always) triangular, polygons arise when an object's surface is modeled, vertices are selected, and the object is rendered in a wire frame model. This is quicker to display than a shaded model; thus the polygons are a stage in computer animation.

a many anled flat surface

a collection of points, where the last point is automatically connected to the first point in the set

a line where the first and last points are identical

a good illustration of a "virtual base class"

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What is a polygon