Difference between revisions of "Globalhash-Geohash Colocation"
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PeterRoder (talk | contribs) (Updated formula to work for the other 3 quarter-spheres) |
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− | Latitude Offset: (graticule_latitude + 90) / (180 - | + | Latitude Offset: (graticule_latitude + 90) / (180 - sgn(graticule_latitude)) |
− | Longitude Offset: (graticule_longitude + 180) / (360 - 1) | + | Longitude Offset: (graticule_longitude + 180) / (360 - sgn(graticule_longitude)) |
+ | |||
+ | where sgn(x) is +1 if x is positive (including +0) and -1 if x is negative (including -0) | ||
Example for 52,9: | Example for 52,9: | ||
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So, if a colocation were to fall in [[52,9]], the coordinates would be be at {{coords|52.793296089385474|9.526462395543175}}. | So, if a colocation were to fall in [[52,9]], the coordinates would be be at {{coords|52.793296089385474|9.526462395543175}}. | ||
+ | |||
+ | On weekdays, West of [[30W]], the Globalhash uses a different [[Dow]] opening to the Geohashes, so a colocation can happen anywhere in a graticule. | ||
Colocations have never occurred in recorded history. As of 2018-09-06, the record holders for approximations are: | Colocations have never occurred in recorded history. As of 2018-09-06, the record holders for approximations are: |
Revision as of 23:07, 2 January 2022
It is possible for a Globalhash to be in exactly the same place as a Geohash on the same day. Making it there satisfies the requirements for the time-traveller achievement. To calculate the coordinates of this colocation for a specific graticule, use the following formula:
Latitude Offset: (graticule_latitude + 90) / (180 - sgn(graticule_latitude)) Longitude Offset: (graticule_longitude + 180) / (360 - sgn(graticule_longitude)) where sgn(x) is +1 if x is positive (including +0) and -1 if x is negative (including -0) Example for 52,9: Latitude Offset: (52 + 90) / (180 - 1) ≈ 0.793296089385474 Longitude Offset: (9 + 180) / (360 - 1) ≈ 0.526462395543175
So, if a colocation were to fall in 52,9, the coordinates would be be at 52.793296089385474,9.526462395543175.
On weekdays, West of 30W, the Globalhash uses a different Dow opening to the Geohashes, so a colocation can happen anywhere in a graticule.
Colocations have never occurred in recorded history. As of 2018-09-06, the record holders for approximations are:
- The closest approximation ever occurred on 1946-07-15, in the North Pacific Ocean, with a distance of 210 meters.
- The closest approximation on land occurred on 1998-01-20, in Ghana, with a distance of 430 meters.
- The closest approximation after the invention of the algorithm occurred on 2009-01-10, in Foxe Basin, with a distance of 730 meters.
- The closest approximation on land and after the invention of the algorithm occurred on 2009-04-12, in Australia, with a distance of 2120 meters.
About the methodology:
- The approximations only check the distance between the Globalhash and the Geohash in the same graticule. If a Globalhash were on the edge of a graticule and a Geohash on the other side of the graticule border, that currently would not part of the above records.
- The approximations are the closest coordinates, which is not necessarily the closest distance, since the distance between longitudes is shorter the further away from the equator they are.
- The distances were taken from Distance.to.