To calculate the position of your antipode:
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Find your latitude and longitude.
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Calculate your antipodal longitude:
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Your antipodal latitude is the same as your own latitude, swapping north
with south.
So, the antipode of
Holland,
Michigan (42.47 N, 86.07 W)
is (42.47 S, 93.93 E), in the open ocean 2000 km (1600 miles) southwest
of Australia.
Your antipode probably isn't where you think it is, despite several
popular clichés. While digging for China will indeed get you to
your antipode, if you happen to live in Argentina, Australia is really
opposite the Sargasso Sea, and the antipodes of all of North America
are adrift in the southern Indian Ocean (the northern coast of Alaska
and Canada scrapes Queen Maud Land).
Some other pairs of places that are antipodal, or nearly so, include:
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Bermuda <-> Perth, Australia
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Melbourne, Australia <-> The Azores
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Thule (Qanaq), Greenland <-> Mc Murdo, Antarctica
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Wellington, New Zealand <-> Madrid, Spain
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Christchurch <-> Villalba, Galicia, Spain
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Bogota, Colombia <-> Djakarta, Indonesia
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Asuncion, Paraguay <-> Taipei, Taiwan
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Rapa Nui (Easter Island) <-> Rahimyar Khan, Pakistan
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Arequipa, Peru <-> midway between Da Nang and Hue, Vietnam
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Okinawa <-> União da Vitoria, southern Brazil
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Hawaii <-> Okavango Delta, Botswana
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Tomboctou, Mali <-> Viti Levu, Fiji
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Norfolk Island <-> Lanzarote, Canary Islands
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Punta Arenas, Chile <-> Ust-Barguzin, Russia, on the shores of Lake Baikal
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Tristan da Cunha (South Atlantic Ocean) <-> Guam
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Saint Paul Island <-> Wild Horse, Colorado
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Papeete, Tahiti <-> a bit north of 'Ellai, Sudan