# polygon

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polygon
regular (left) and irregular (right) polygons

## pol·y·gon

(pŏl′ē-gŏn′)
n.
A closed plane figure bounded by three or more line segments.

[Late Latin polygōnum, from Greek polugōnon, from neuter of Greek polugōnos, polygonal : polu-, poly- + -gōnos, angled; see -gon.]

## polygon

(ˈpɒlɪˌɡɒn)
n
(Mathematics) a closed plane figure bounded by three or more straight sides that meet in pairs in the same number of vertices, and do not intersect other than at these vertices. The sum of the interior angles is (n–2) × 180° for n sides; the sum of the exterior angles is 360°. A regular polygon has all its sides and angles equal. Specific polygons are named according to the number of sides, such as triangle, pentagon, etc
[C16: via Latin from Greek polugōnon figure with many angles]

## pol•y•gon

(ˈpɒl iˌgɒn)

n.
a figure, esp. a closed plane figure, having three or more, usu. straight, sides.
[1560–70; < Latin polygōnum < Greek polýgōnon, n. use of neuter of polýgōnos many-angled. See poly-, -gon]

## pol·y·gon

(pŏl′ē-gŏn′)
A closed plane figure having three or more sides. Triangles, rectangles, and octagons are all examples of polygons.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 polygon - a closed plane figure bounded by straight sidespolygonal shapeplane figure, two-dimensional figure - a two-dimensional shapeisogon - an equiangular polygonconvex polygon - a polygon such that no side extended cuts any other side or vertex; it can be cut by a straight line in at most two pointsconcave polygon - a polygon such that there is a straight line that cuts it in four or more pointsquadrangle, quadrilateral, tetragon - a four-sided polygontriangle, trigon, trilateral - a three-sided polygonpentagon - a five-sided polygonhexagon - a six-sided polygonheptagon - a seven-sided polygonoctagon - an eight-sided polygonnonagon - a nine-sided polygondecagon - a polygon with 10 sides and 10 anglesundecagon - an eleven-sided polygondodecagon - a twelve-sided polygonspherical polygon - a figure on the surface of a sphere bounded by arcs of 3 or more great circles
Translations
شَكل مُتَعَدِّد الأضْلاعمضلع
многоъгълник
polígon
mnohoúhelníkpolygon
polygon
pluranguloplurlateropoligono
hulknurk
monikulmiopolygoni
mnogokut
sokszögpoligon
marghyrningur
ポリゴン多角形
다각형
daugiakampis
daudzstūris
ബഹുഭുജം
wielobokwielokąt
poligon
mnohouholníkpolygón
mnogokotnik
polygon
pembenyingi
รูปหลายเหลี่ยม
багатокутник
کثیرالاضلاع
đa giác

[ˈpɒlɪgən] N

## polygon

nPolygon nt, → Vieleck nt

## polygon

[ˈpɒlɪgən] npoligono

## polygon

(ˈpoligən) , ((American) -gon) noun
a two-dimensional figure with many angles and sides.
References in periodicals archive ?
MARK COLLINS, OWNER OF N-GON GROUP, SPENT MOST OF HIS LIFE ENGAGED IN BUSINESS IN AUSTRALIA AND AFRICA, UNTIL HE REDISCOVERED NEW ZEALAND'S ATTRIBUTES AND SAW AN OPPORTUNITY GOING BEGGING IN TAURANGA.
1 INTRODUCTION: The symmetric group Sn is defined over the regular figure n-gon with order n
If the number of elements of a generalized n-gon is finite, a celebrated result of Feit and Higman [1] guarantees that n is restricted to the set {3,4,6, 8}.
n](t) = t + 2[pi], then we have an n-gon inscribed to [C.
shtml) provide animations, solutions and generalisations to the n-gon dog problem.
The Poncelet's closure theorem says that in aporistic n-gon from any [Q'.
2](0,t) of a convex particle Y is almost surely convex and can be approximated by a convex n-gon K[subset][R.
Smarandache (1983) has generalized the Theorem of Menelaus for any polygon with n [greater than or equal to] 4 sides as follows: If a line l intersects the n-gon [A.
The questions are difficult and time constraints can make it difficult to solve such problems as "the sum of the numbers of faces, edges and vertices of a pyramid with an n-gon base," he said.
A convex lattice n-gon contains at least I(n) interior points.
To create a Gray code for sequences of length 1 use one copy of an N-gon (a regular two-dimensional polygon with N sides, with a 2-gon being a line segment) with labels [0], [1], .
n - 1, n), (n, 1) as well as some n - 3 non-crossing diagonals that subdivide the n-gon into triangles.

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