My favorite part is that the avenues converge at "Manhattan's North Pole" aka Kazakhstan.
Why do the avenue lines meet at an antipode? In Manhattan, they are parallel, they don't converge.
I understand the difference between latitude and longitude lines. A meridian of longitude is a great circle centered at the Earth's center; a line of latitude is a small circle (the analogue of a chord in a 2D circle on a plane) whose center lies north or south of the Earth's center in three dimensions. Longitude lines divide a sphere like slices of an orange, converging at poles; latitude lines divide a sphere like a tomato slicer and do not converge.
There's actually two "poles"; aside from the one in Uzbekistan that everyone is seeing, there's another in the South Pacific Ocean at the antipodal point from Uzbekistan. So the avenues are being treated as meridian lines; great circles. Would it be more accurate to extrapolate avenues as parallel small circles?
We could test this theory by inspecting whether Manhattan's actual grid respects the curvature of the Earth. If the avenues are closer together at the northern end of the island, then the avenues actually do behave as meridians. If not, then the extrapolated avenue lines should be small circles and would not converge. You'd still have a pole in Uzbekistan, where the last street becomes an arbitrarily small circle, but just one avenue line through it. (I gotta run at the moment but will throw some trigonometry at this later.)
Sure they do. Manhattan isn't a plane; it's a region on the surface of a sphere. From Wikipedia[1], "In the spherical plane, all geodesics are great circles. ...all great circles intersect each other."
Clearly, it's the non-intersecting streets that are at fault here. They should intersect, but don't.
[1]: http://en.wikipedia.org/wiki/Parallel_(geometry)#Spherical
Throwing together that promised trigonometry, with some approximations (using round numbers, ignoring the oblateness of the sphere, ignoring the skew of Manhattan's grid from due north-south):
40° = approx latitude of Manhattan's south end
40.27° = approx latitude of Manhattan's other end 30 km north
40000 km * cos(40°) = circumference of the 40° parallel
40000 km * cos(40.27°) = circumference of the 40.27° parallel
0.996 = ratio of the distance between avenues at the north end compared to the south
300 m = assumed approximate distance between avenues at the south end
298.8 m = expected distance between avenues at the north end
If the avenues are geodesics, they should be 1.2m closer to each other at the north end of Manhattan than the south end. Unfortunately a difference that small is probably essentially noise and below statistical significance to actually measure; the width of a sidewalk or a bicycle lane.I was primarily inspired by lines of latitude (streets) and longitude (avenues), but I'd definitely be interested to see what it looks like when both are treated as concentric small circles.
http://strangemaps.files.wordpress.com/2007/02/steinberg-new...
You've lost the East/West distinction between the streets, so the West streets are just Xth Street, instead of West Xth Street like they should be. Worse, the avenues East of 1st should be named alphabetically, not as E Xth Ave. For consistency, I'd increment them as Ave A, Ave B, Ave C ... Ave Y, Ave Z, Ave AA, ... You've turned Alphabet City into just the East Avenues. Sacrilege.
I think this would be a great way to see differences in map projections.
I probably don't really.
This is a really cool map, but some minor adjustments and testing to get the correct fit in Manhattan first would make a notable improvement in the overall product. I'd say fitting goals would be Houston as 1st street, and maybe 191st-200s area for north bound (Bronx continues the pattern, but it's much less consistent). Good work!
Manhattan - like most US cities have streets/avenues based on a regular grid and numbered consecutively Streets East/West and Avenues North/South.
So you can continue the numbering scheme across the entire world. The angles are due to the fact that the streets are aligned with the island of Manhattan rather than geographic north.
I suspect this was not a troll.
Greetings from very near 10137Ave, 62586st, bluenose territory.