OuterPolygon

OuterPolygon[poly]

gives the outer polygon of the polygon poly.

Details

• OuterPolygon is also known as polygon outer ring.
• Typically used to decompose a polygon as a difference of simple polygons, even when the original construction of the polygon was using crossing curves etc.
• OuterPolygon is defined by the canonicalization performed in CanonicalizePolygon.
• OuterPolygon gives a polygon of the form Polygon[{p1,p2,},{{i1,i2,},}], where pk are explicit coordinates, and ik are integer indexes referring to coordinates in the list {p1,p2,}.
• In general, the result will be a Polygon object representing a disjoint union of simple polygons.

Examples

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Basic Examples(1)

Get the outer polygon from a Polygon:

Scope(6)

OuterPolygon works on polygons:

Triangle:

Rectangle:

OuterPolygon works on polygons of geographic entities:

Polygons with GeoPosition:

Polygons with GeoGridPosition:

Polygon with holes:

Polygons with disconnected components:

Polygons in :

Properties & Relations(2)

OuterPolygon of a simple polygon is the polygon itself:

A simple polygon has the same polygon coordinates as its OuterPolygon:

Wolfram Research (2019), OuterPolygon, Wolfram Language function, https://reference.wolfram.com/language/ref/OuterPolygon.html.

Text

Wolfram Research (2019), OuterPolygon, Wolfram Language function, https://reference.wolfram.com/language/ref/OuterPolygon.html.

CMS

Wolfram Language. 2019. "OuterPolygon." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/OuterPolygon.html.

APA

Wolfram Language. (2019). OuterPolygon. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/OuterPolygon.html

BibTeX

@misc{reference.wolfram_2024_outerpolygon, author="Wolfram Research", title="{OuterPolygon}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/OuterPolygon.html}", note=[Accessed: 15-August-2024 ]}

BibLaTeX

@online{reference.wolfram_2024_outerpolygon, organization={Wolfram Research}, title={OuterPolygon}, year={2019}, url={https://reference.wolfram.com/language/ref/OuterPolygon.html}, note=[Accessed: 15-August-2024 ]}