Simple polygon
In geometry, a simple polygon /ˈpɒlɪɡɒn/ is a polygon that does not intersect itself and has no holes. That is, it is a flat shape consisting of straight, non-intersecting line segments or "sides" that are joined pairwise to form a single closed path. If the sides intersect then the polygon is not simple. The qualifier "simple" is frequently omitted, with the above definition then being understood to define a polygon in general. The definition given above ensures the following properties:
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1899 in scienceAnders Johan LexellAngleAnthropomorphic polygonAreaArt gallery problemAsymptotically optimal algorithmBernard ChazelleCarpenter's rule problemCircleCircumscribed circleCoin rotation paradoxComplex polygonConcave polygonConstrained Delaunay triangulationConvex hullConvex hull algorithmsConvex hull of a simple polygonConvex polygonCurve orientationDecagonDensity (polytope)Equilateral pentagonErdős–Nagy theoremFerran HurtadoFirst stellation of the rhombic dodecahedronFréchet distanceHexagonIleana StreinuJohn HershbergerJordan polygonKite (geometry)List of self-intersecting polygonsList of two-dimensional geometric shapesMedial axisMidpoint polygonMonotone polygonOuterplanar graphPancyclic graph
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Simple polygon
In geometry, a simple polygon /ˈpɒlɪɡɒn/ is a polygon that does not intersect itself and has no holes. That is, it is a flat shape consisting of straight, non-intersecting line segments or "sides" that are joined pairwise to form a single closed path. If the sides intersect then the polygon is not simple. The qualifier "simple" is frequently omitted, with the above definition then being understood to define a polygon in general. The definition given above ensures the following properties:
has abstract
En géométrie, un polygone est ...... : l'intérieur et l'extérieur.
@fr
In geometry, a simple polygon ...... ogically equivalent to a disk.
@en
Se llama polígono simple al po ...... no simple con dos fronteras.
@es
Um polígono simples é um políg ...... denominado polígono complexo.
@pt
Un polígon simple és un polígo ...... poden ser convexos o còncaus.
@ca
Wielokąt prosty - wielokąt, kt ...... ry nie jest prosty: pentagram.
@pl
Στη γεωμετρία ως απλό πολύγωνο ...... ογικά ισοδύναμο με έναν δίσκο.
@el
Простий багатокутник — це бага ...... опологічно еквівалентна кругу.
@uk
Простой многоугольник — это фи ...... ологически эквавалентна кругу.
@ru
في الهندسة الرياضية، المضلع ال ...... ع البسيط مقعرا وقد يكون محدبا.
@ar
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title
Simple polygon
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urlname
SimplePolygon
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En géométrie, un polygone est ...... : l'intérieur et l'extérieur.
@fr
In geometry, a simple polygon ...... ures the following properties:
@en
Se llama polígono simple al po ...... se denomina polígono complejo.
@es
Um polígono simples é um políg ...... denominado polígono complexo.
@pt
Un polígon simple és un polígo ...... poden ser convexos o còncaus.
@ca
Wielokąt prosty - wielokąt, kt ...... ry nie jest prosty: pentagram.
@pl
Στη γεωμετρία ως απλό πολύγωνο ...... ιστεί ένα πολύγωνο γενικότερα.
@el
Простий багатокутник — це бага ...... ться частинами однієї сторони.
@uk
Простой многоугольник — это фи ...... читаются частью одной стороны.
@ru
في الهندسة الرياضية، المضلع ال ...... ع البسيط مقعرا وقد يكون محدبا.
@ar
label
Polygone simple
@fr
Polígon simple
@ca
Polígono simple
@es
Polígono simples
@pt
Simple polygon
@en
Wielokąt prosty
@pl
Απλό πολύγωνο
@el
Простий багатокутник
@uk
Простой многоугольник
@ru
مضلع بسيط
@ar