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gives the antipodal position of location loc.

gives the antipodal primitive of the geo primitive g.

Details

  • The location loc in GeoAntipode[loc] can be a GeoPosition, GeoGridPosition or other position object. It can also be a geo Entity object.
  • For a geo primitive g, GeoAntipode[g] returns the antipodal primitive, with locations in g being replaced by their antipodal locations.

Examples

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Basic Examples  (4)Summary of the most common use cases

Find out the antipode of your location:

Out[1]=1

Find out the antipode of the capital of Spain:

Out[1]=1

That location is in New Zealand:

Out[2]=2

The antipode of a geo disk centered at loc is another geo disk centered at the antipode of loc:

Out[1]=1

Show the antipodal polygon of Brazil:

Out[1]=1

Scope  (7)Survey of the scope of standard use cases

Find the antipode of a GeoPosition object:

Out[1]=1

Elevation is left unchanged:

Out[2]=2

Find the antipode of a GeoPositionXYZ object:

Out[1]=1

All three coordinates change sign:

Out[2]=2

Find the antipode of a GeoPositionENU object:

Out[1]=1

The East and Up components are preserved, but the North component changes sign:

Out[2]=2

Find the antipode of a GeoGridPosition object:

Out[1]=1

For general projections, the relation is highly nonlinear:

Out[2]=2

The antipodal position of a geo Entity location is returned as a GeoPosition object:

Out[1]=1

Find the antipodes of a GeoPosition array:

Out[1]=1
Out[2]=2

Find out the antipode of a geo path:

Out[1]=1

Applications  (2)Sample problems that can be solved with this function

Take the polygon of South America:

Out[1]=1

Compute the antipodal polygon:

Out[2]=2

Draw a map of the antipodal polygon of South America:

Out[3]=3

Draw the antipode of Antarctica around the North Pole:

Out[2]=2

Properties & Relations  (4)Properties of the function, and connections to other functions

The antipode of the antipode of a location is the original location:

Out[1]=1
Out[2]=2
Out[3]=3

If location p is east of location q, then the antipode of p is also east of the antipode of q:

Out[2]=2
Out[3]=3
Out[4]=4
Out[5]=5

However, if p is north of q, then the antipode of p is south of the antipode of q:

Out[6]=6
Out[7]=7

The day and night hemispheres for a given date are antipodal:

Out[1]=1
Out[2]=2
Out[3]=3

The day-night terminator is its own antipode:

Out[4]=4

The geo hemispheres of two antipodal locations are complementary:

Out[1]=1

They are related by this simple identity:

Out[2]=2

Neat Examples  (1)Surprising or curious use cases

Overlay the polygons of the world and their antipodal polygons:

Out[2]=2
Wolfram Research (2017), GeoAntipode, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoAntipode.html.
Wolfram Research (2017), GeoAntipode, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoAntipode.html.

Text

Wolfram Research (2017), GeoAntipode, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoAntipode.html.

Wolfram Research (2017), GeoAntipode, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoAntipode.html.

CMS

Wolfram Language. 2017. "GeoAntipode." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GeoAntipode.html.

Wolfram Language. 2017. "GeoAntipode." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/GeoAntipode.html.

APA

Wolfram Language. (2017). GeoAntipode. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeoAntipode.html

Wolfram Language. (2017). GeoAntipode. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeoAntipode.html

BibTeX

@misc{reference.wolfram_2025_geoantipode, author="Wolfram Research", title="{GeoAntipode}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/GeoAntipode.html}", note=[Accessed: 29-May-2025 ]}

@misc{reference.wolfram_2025_geoantipode, author="Wolfram Research", title="{GeoAntipode}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/GeoAntipode.html}", note=[Accessed: 29-May-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_geoantipode, organization={Wolfram Research}, title={GeoAntipode}, year={2017}, url={https://reference.wolfram.com/language/ref/GeoAntipode.html}, note=[Accessed: 29-May-2025 ]}

@online{reference.wolfram_2025_geoantipode, organization={Wolfram Research}, title={GeoAntipode}, year={2017}, url={https://reference.wolfram.com/language/ref/GeoAntipode.html}, note=[Accessed: 29-May-2025 ]}