GeoAntipode
✖
GeoAntipode
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 allBasic Examples (4)Summary of the most common use cases
Find out the antipode of your location:

https://wolfram.com/xid/0bniola6y2fy2-0u6j9q

Find out the antipode of the capital of Spain:

https://wolfram.com/xid/0bniola6y2fy2-lrplyq

That location is in New Zealand:

https://wolfram.com/xid/0bniola6y2fy2-ps1r4p

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

https://wolfram.com/xid/0bniola6y2fy2-m1ueho

Show the antipodal polygon of Brazil:

https://wolfram.com/xid/0bniola6y2fy2-vtwr1a

Scope (7)Survey of the scope of standard use cases
Find the antipode of a GeoPosition object:

https://wolfram.com/xid/0bniola6y2fy2-ym4aej


https://wolfram.com/xid/0bniola6y2fy2-wdimc2

Find the antipode of a GeoPositionXYZ object:

https://wolfram.com/xid/0bniola6y2fy2-wxsi4h

All three coordinates change sign:

https://wolfram.com/xid/0bniola6y2fy2-rkcsxn

Find the antipode of a GeoPositionENU object:

https://wolfram.com/xid/0bniola6y2fy2-iib4m4

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

https://wolfram.com/xid/0bniola6y2fy2-nibwt5

Find the antipode of a GeoGridPosition object:

https://wolfram.com/xid/0bniola6y2fy2-ku6aai

For general projections, the relation is highly nonlinear:

https://wolfram.com/xid/0bniola6y2fy2-7kdcm1

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

https://wolfram.com/xid/0bniola6y2fy2-y2gri7

Find the antipodes of a GeoPosition array:

https://wolfram.com/xid/0bniola6y2fy2-n5edma


https://wolfram.com/xid/0bniola6y2fy2-9kkltf

Find out the antipode of a geo path:

https://wolfram.com/xid/0bniola6y2fy2-xv7a7t

Applications (2)Sample problems that can be solved with this function
Take the polygon of South America:

https://wolfram.com/xid/0bniola6y2fy2-k96hh2

Compute the antipodal polygon:

https://wolfram.com/xid/0bniola6y2fy2-dirq5c

Draw a map of the antipodal polygon of South America:

https://wolfram.com/xid/0bniola6y2fy2-tcihu6

Draw the antipode of Antarctica around the North Pole:

https://wolfram.com/xid/0bniola6y2fy2-rt8u64

https://wolfram.com/xid/0bniola6y2fy2-w9goit

Properties & Relations (4)Properties of the function, and connections to other functions
The antipode of the antipode of a location is the original location:

https://wolfram.com/xid/0bniola6y2fy2-lq0ges


https://wolfram.com/xid/0bniola6y2fy2-7bm6ts


https://wolfram.com/xid/0bniola6y2fy2-c9uh3c

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

https://wolfram.com/xid/0bniola6y2fy2-b95gnh

https://wolfram.com/xid/0bniola6y2fy2-1ly0qt


https://wolfram.com/xid/0bniola6y2fy2-24e4dv


https://wolfram.com/xid/0bniola6y2fy2-ty93ny


https://wolfram.com/xid/0bniola6y2fy2-px0aix

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

https://wolfram.com/xid/0bniola6y2fy2-oq1aig


https://wolfram.com/xid/0bniola6y2fy2-43vtrz

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

https://wolfram.com/xid/0bniola6y2fy2-c2dy3


https://wolfram.com/xid/0bniola6y2fy2-hc5n8g


https://wolfram.com/xid/0bniola6y2fy2-oz5o0f

The day-night terminator is its own antipode:

https://wolfram.com/xid/0bniola6y2fy2-3koqx4

The geo hemispheres of two antipodal locations are complementary:

https://wolfram.com/xid/0bniola6y2fy2-ng06bs

They are related by this simple identity:

https://wolfram.com/xid/0bniola6y2fy2-e3b0ol

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
]}
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
]}