I'd like to see it compared with a "parallelogramness" measure, based on rotating calipers. Rectangularity would be a special case.
The rectangularness of countries
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Re: The rectangularness of countries
#72Earlier quoted context omitted.
Including Azores definitely affected the final result. It's weird that other countries didn't have their islands include though
Others are also affected by islands and territories, see France with French Guyana etc, Norway with Svalbard etc. France is quite a square country if you only consider its mainland so it is an odd choice to include non mainland areas but I guess it is a difficult greyzone on what to include and not.
Re: The rectangularness of countries
#73this metric is kind of poor. What about something like the area ratio of the biggest inscribed rectangle to the smallest circumscribed rectangle that has edges parallel to the selected inscribed rectangle.
That measures nothing but outliers: consider that changing anything between the two rectangles would leave that metric unchanged.
A similar approach is used in biology to define animal territories: A kernel density estimate is taken of historical animal positions and thresholded, rather than a minimum convex polygon.
Re: The rectangularness of countries
#74Neat! To me, Egypt doesn't look very rectangular at all. The very deep concave section, and the sharp convex portion at the bottom right completely break rectangularity for me. I'm also curious as to why Nauru seems to have such sharp, straight borders - it looks more like the Vatican than a Pacific island.
The measure is how much overlap there is with a rectangle of the same area, which means that a narrow but deep deviation is weighted the same as a shallow but long deviation along the border. I'd think that an intuitive notion of "rectangulareness" (rectanglosity? rectangularity?) would better match some sort of RMS measurement, where the penalty for a mismatch is proportional to the square of its distance from the i…
Re: The rectangularness of countries
#75Earlier quoted context omitted.
Including Azores definitely affected the final result. It's weird that other countries didn't have their islands include though
Others are also affected by islands and territories, see France with French Guyana etc, Norway with Svalbard etc. France is quite a square country if you only consider its mainland so it is an odd choice to include non mainland areas but I guess it is a difficult greyzone on what to include and not.
As some have said, I'd like to check the impact of only using mainland in the calculations.
Re: The rectangularness of countries
#76Earlier quoted context omitted.
What do they say?
https://en.wikipedia.org/wiki/Winston%27s_Hiccup
https://www.theguardian.com/world/2016/mar/03/welcome-to-the... https://www.youtube.com/watch?v=J5iJSXaVvao
Re: The rectangularness of countries
#77I was kind of disappointed that this post isn't about artificial borders that look like straight latitudinal or longitudinal lines. Those kinds of borders are quite common and I've always thought they say a lot about a country and its past.
What do they say?
http://everything2.com/title/Never+Trust+a+Straight+Line+on+...
Re: The rectangularness of countries
#78These are not rectangles though. The projection has severly stretched many of the countries. Combined with the tilted angles, that should mean the corners of these "rectangles" aren't really 90°.
Re: The rectangularness of countries
#79Earlier quoted context omitted.
The measure is how much overlap there is with a rectangle of the same area, which means that a narrow but deep deviation is weighted the same as a shallow but long deviation along the border. I'd think that an intuitive notion of "rectangulareness" (rectanglosity? rectangularity?) would better match some sort of RMS measurement, where the penalty for a mismatch is proportional to the square of its distance from the i…
It's also good to realize that countries do not lie on a plane, and the edges of the rectangles should be great circle arcs.
Re: The rectangularness of countries
#80https://www.google.be/maps/place/Baarle-Hertog/
This is a Belgian city enclave within the Netherlands with enclaves of the Netherlands within its borders