I guess I could understand why this would be borderline impossible if you did it manually, but surely today with satellite images and computer vision it really shouldn’t be that difficult to agree on a standard unit and then just automate it. Surely just make the scale human at its smallest (meters works and can get converted from there, assuming you have sufficient zoom level data for the coastline) and call it a da…
The article is not about practical measurements at all. Doing it manually has nothing to do with it. It is explicitly about why the measured length depends on the precision you choose to measure with.
Why it’s impossible to measure England’s coastline
31–40 of 42 posts
Re: Why it’s impossible to measure England’s coastline
#32Re: Why it’s impossible to measure England’s coastline
#33> A new hiking trail will soon allow travellers to walk around England's entire coast This is a strange concept as there are two countries that share a land border so how do they manage the “gaps”?
The Wales Coast Path[0] links up with it, so (aside from the small gap in Cumbria), you can walk all the way round if you start and end at the Scottish border. There’s also the Hadrian’s Wall Path[1] that allows you to link back into a loop new the Scottish border, though it misses out a section of the English coast in the North East. [0] https://en.wikipedia.org/wiki/Wales_Coast_Path [1] https://en.wikipedia.org/wik…
Re: Why it’s impossible to measure England’s coastline
#34I was thinking about this recently, the way to do is to define a radius, and then imagine rolling a circle of that radius around the outside of the coastline (or around the inside! Define that as well) and then take the length of the equivalent track that never leaves contact with the circle. So you get a different length depending on the radius you choose, but at least you get an answer. You could define the radius…
It's in no way a meaningful solution. If you're settling for a resolution, you don't need a ball-rolling analogy. We already know the length of a given coastline at given resolutions (ignoring the constant changing of the coastline itself). What's practically not feasible is getting every country on earth to agree on the right resolutions. And that's for good reasons, because the desired accuracy depends on many fact…
You can just pick one when you are doing some work that requires knowing the length of the coastline.
I wasn't trying to say that we should all agree on a universal definition and use that for everything? That would be insane. I was just providing a way to get a stable answer for the length of the perimeter of a fractal area.
Re: Why it’s impossible to measure England’s coastline
#35How on earth can you write an article that practically plagiarizes the title, mention the paradox, and neither mention mandelbrot nor cite the original paper anywhere!? https://www.researchgate.net/profile/Ion-Andronache/post/Wha...
This kind of comment always strikes me as the textual equivalent of the Youtube thumbnail with the big yellow characters and multiple people making an O face and pointing. The article mentions who observed it in history first, Lewis Fry Richardson, and then links to an encyclopedia article about it which describes Mandelbrot. On top of that, Mandelbrot explicitly named his paper that because he is referencing Richard…
Nevertheless, referencing the LFR work and merely including a link where the paper is discussed feels a little like beating around the bush. The primary article doesn’t seem to use the words “self-similar” nor “fractal” - if you’re only interested in LFR work, why reference Mandelbrot at all?
Re: Why it’s impossible to measure England’s coastline
#36> A new hiking trail will soon allow travellers to walk around England's entire coast This is a strange concept as there are two countries that share a land border so how do they manage the “gaps”?
Three countries - England, Scotland, Wales.
Re: Why it’s impossible to measure England’s coastline
#37Side anecdote, as a kid growing up I watched a documentary about the coastline problem on the BBC and I started thinking about the paradox and infinity and it made me incredibly scared and unwell and then threw up. Has anyone else ever experienced this?
Re: Why it’s impossible to measure England’s coastline
#38Bullshit. Tedious, bullshit. The only rational deifinition of a coastline is that it would be a rough average measurement, as nothing else is possible. Very large areas are washed away daily, and in other places the wind and tide deposit a wide variety of material that does in fact become dry land repleet with trees. The daily shift is likely as much as several miles in storm season. My advice is to put your maths, a…
Re: Why it’s impossible to measure England’s coastline
#39Earlier quoted context omitted.
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The meaning of "coastline" breaks down far before you reach quantum levels. I challenge you to go to the beach and pick a square inch where the "coastline" splits it half and half, this part England, that part the sea.
Re: Why it’s impossible to measure England’s coastline
#40Earlier quoted context omitted.
Assuming they specifically do advertise that you can walk the entire English coast, then it is accurate, as Wales and Scotland are not England.
unless they have edited they do not say Wales and Scotland are England, they complain the trail is not contiguous, which to be fair might also be implied by the fact that Wales and Scotland are not England but I guess I could see a scenario that allowed made the trail contiguous, which would still allow you to walk the English coast, but also of course allow you to walk some other parts that are not on the coast.