# GeoAntipode

GeoAntipode[loc]

gives the antipodal position of location loc.

GeoAntipode[g]

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

open allclose all

## Basic Examples(4)

Find out the antipode of your location:

Find out the antipode of the capital of Spain:

That location is in New Zealand:

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

Show the antipodal polygon of Brazil:

## Scope(7)

Find the antipode of a GeoPosition object:

Elevation is left unchanged:

Find the antipode of a GeoPositionXYZ object:

All three coordinates change sign:

Find the antipode of a GeoPositionENU object:

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

Find the antipode of a GeoGridPosition object:

For general projections, the relation is highly nonlinear:

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

Find the antipodes of a GeoPosition array:

Find out the antipode of a geo path:

## Applications(2)

Take the polygon of South America:

Compute the antipodal polygon:

Draw a map of the antipodal polygon of South America:

Draw the antipode of Antarctica around the North Pole:

## Properties & Relations(4)

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

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

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

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

The day-night terminator is its own antipode:

The geo hemispheres of two antipodal locations are complementary:

They are related by this simple identity:

## Neat Examples(1)

Overlay the polygons of the world and their antipodal polygons:

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.

#### CMS

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

#### BibTeX

@misc{reference.wolfram_2023_geoantipode, author="Wolfram Research", title="{GeoAntipode}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/GeoAntipode.html}", note=[Accessed: 21-September-2023 ]}

#### BibLaTeX

@online{reference.wolfram_2023_geoantipode, organization={Wolfram Research}, title={GeoAntipode}, year={2017}, url={https://reference.wolfram.com/language/ref/GeoAntipode.html}, note=[Accessed: 21-September-2023 ]}