Is the actual length of a river divided by its length at the flight of birds equal to the number Pi ?
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Is the actual length of a river divided by its length at the flight of birds equal to the number Pi ?
Gibberish much?
I have no idea what the flight of birds thing means, but the length of a river divided by the distance between its endpoints is on average pi when you take all rivers in the world.
Or at least, numberphile says that a paper pubished says so:
https://www.youtube.com/watch?v=TUErNWBOkUM
I’m guessing ‘as the crow flies’ although not sure where that might figure in. Straight line nonetheless.I have no idea what the flight of birds thing means
when all else fails...google it. Checked it out here. Learned a little about sinuosity but unfortunately Pi didn’t cut.
https://www.theguardian.com/science/...rs-truth-grime
Nice!
This is actually good science and does not belong in the Trash but in Earth Sciences. I'll report it to Dywyddyr asn see if he will move it.
I think we were all thrown by the OP's eccentric grasp of English idiom (flights of birds = as the crow flies). I think he is francophone.
If the river is straight doesn't the result of the division equal 1?
Plus Reduced service!
In the 3D world the shortest distance measured between river source and its end would be a straight line through the Earth so by using that measurement for ‘as the crow flies’ I think the mean would push closer to Pi? Or is it wrong to substitute a third dimension measurement for a 2D calculation? IOW sinuosity is strictly a two dimensional thing?
Well,measured that way the distance between the beginning and end of a straight river would look like a line intersecting an arc section of a circle.
If the river did a full 180 degrees of the surface of the sphere ( a great circle?) then the distance ratio would pi/2 I think.
Cant find a good scientific definition of what constitutes a river complete with minimum measurable requirements. Not really sure what qualifies as a river. I live close to a vast flowing stream of water called the Niagara River which as I understand isn’t a river at all but a strait connecting two large bodies of water. Then there are rivers that are seasonal or dry at times. I’ve seen creeks wider than rivers and meandering streams that run for very long stretches.
Where exactly do we measure the start of a river, or it’s end?
Don't think that matters for this exercise. Sinuosity can just as easily be determined for a river 5 miles long as for one 500 miles long. Though presumably sinuosity increases with senility, I'd have thought. Most rivers are fairly well-defined, with a source determined to within a few hundred metres and an end either at the confluence with a larger one or whether they enter the sea. Though I suppose where the river stops and the estuary begins can sometimes be hard to define exactly.
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