From Newsgroup: rec.puzzles
Sinuosity of a river is the ratio of the river's actual channel length to the straight-line distance between the start and end points (source to mouth). It measures how much the river meanders relative to a direct path.
If the river is straight, its Sinuosity is 1.
If the river is BENDY, its Sinuosity could be 4 or 5 or 6.
Sinuosity of a River is defined as
(River's detailed [channel Length] ) / (straight Line distance from Start to END)
They say ... The Average Sinuosity of actual rivers tends toward Pi.
Pi me a River - Numberphile - YouTube
https://www.youtube.com/watch?v=TUErNWBOkUM
(I watched only the first 4 minutes.)
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My initial Python simulation didn't go well....
My simulation is that of a ball (with inertia) that gets randomly pushed in 4 directions.
My sinuosity values were between 10 and 12, and never close to Pi
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Was this discussed in all the books on Fractals ???
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