Signpost
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Huh?
We have all seen those signposts - the ones stuck in the middle of nowhere with a multitude of signs pointing to famous places (London, New York, Yoko, Rowville, etc).
They all point across the surface of the earth - presumably to follow a great circle to the desired locale.
I want one which points in a true straight line. As the laser shoots. THROUGH THE EARTH!
| “ | Make a hole with the gun perpendicular / To the name of this town in a desktop globe
Exit wounds in a foreign nation / Showing the home of the one this was written for |
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—They Might Be Giants (Ana NG)
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Especially from Australia, this would be pretty neat I think, with North America and Europe being the most 'down' you can get from an australian perspective. More interesting stuff would be in the directions of africa, Asia, south america, antarctica, NZ...
Tell me more, tell me more
For bonus points, instead of a signpost, make it out of actual lasers! (and sealed in a cage with appropriate gas so the line of the laser is visible. Say, ALL lasers always visible in red, then you select a city and it goes GREEN!).
Another method for a permenant exhibit might be to start with a point central to the room, (normal signpost), but then ALSO place markers on the walls and floor of the room to indicate the marker - so as to make clearer the path and descent taken.
Some math
Bearing and Arc Distance
Using this site: http://gc.kls2.com/, I calculate the "raw data". That is, the distance on the great circle, and the degrees - ie, the direction I travel in. The required final data required a conversion: the great circle distance into both a straight line (distance, and angle down (0 being tangent to here, 90degrees being straight down). The degrees should remain the same.
Declination and Direct distance
So knowing the arc distance, we can calculate the declination (angle down from tangent to source location), and direct distance via the following:
Results
Data table
The raw data from Canberra (CBR) is:
| Location | Code | Arc length | Bearing | Declination | Direct distance |
|---|---|---|---|---|---|
| North Pole | 0E,90N | 13911km | 0° (N) | ||
| Brisbane | BNE | 954km | 24° (NE) | ||
| Anchorage | ANC | 12019km | 26° (NE) | ||
| Seattle | SEA | 12691km | 48° (NE) | ||
| Sydney | SYD | 236km | 50° (NE) | ||
| Honolulu | HNL | 8390km | 50° (NE) | ||
| Los Angeles | LAX | 12282km | 62° (NE) | ||
| New York City | JFK | 16239km | 67° (E) | ||
| Mexico City | MEX | 13178km | 85° (E) | ||
| Aukland | AKL | 2304km | 102° (E) | ||
| Galapagos Islands | GPS | 12710km | 109° (E) | ||
| Easter Island | IPC | 9255km | 118° (SE) | ||
| Dunedin | DUD | 2123km | 130° (SE) | ||
| Santiago | SCL | 11339km | 146° (SE) | ||
| São Paulo | SBGR | 13298km | 163° (S) | ||
| South Pole | NZSP | 6093km | 180° (S) | ||
| Hobart | HBA | 848km | 189° (S) | ||
| Melbourne | MEL | 470km | 234° (SW) | ||
| Cape Town | CPT | 10780km | 219° (SW) | ||
| Las Palmas Canary Islands |
LPA [Furthest land point from CBR?] |
18349km | 244° (SW) | ||
| Perth | PER | 3091km | 267° (W) | ||
| Adelaide | ADL | 972km | 269° (W) | ||
| Casablanca | CMN | 17884km | 270° (W) | ||
| Cairo | CAI | 14259km | 282° (W) | ||
| Rome | FCO | 16242km | 294° (NW) | ||
| New Delhi | DEL | 10350km | 302° (NW) | ||
| Moscow | SVO | 14490km | 316° (NW) | ||
| London | LHR | 17005km | 316° (NW) | ||
| Darwin | DRW | 3136km | 319° (NW) | ||
| Beijing | PEK | 8992km | 335° (NW) | ||
| Tokyo | NRT | 7921km | 352° (N) |
