[HN Gopher] How Long Is the Coast of Britain? (1967)
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       How Long Is the Coast of Britain? (1967)
        
       Author : Hooke
       Score  : 27 points
       Date   : 2026-02-24 23:14 UTC (3 days ago)
        
 (HTM) web link (www.jstor.org)
 (TXT) w3m dump (www.jstor.org)
        
       | 2b3a51 wrote:
       | https://gsp.humboldt.edu/OLM/courses/GSP_510/Articles/Mandel...
       | 
       | Link to a pdf file that you don't need an institutional login
       | for.
       | 
       | I did an activity in a basic maths class based on this paper
       | years ago. Each student had an A3 map of the main island of the
       | UK. Some set their compasses to 5cm radius and counted the number
       | of radii around the island. Others tried 2.5cm, and 1cm and half
       | a cm. Worked ok, good lesson.
        
       | paradox460 wrote:
       | Infinitely long. You can't trick me with the coast paradox
        
         | theodric wrote:
         | This guy* Mandelbrots
         | 
         | *presumably, but maybe not
        
         | _ache_ wrote:
         | Actually ... Not infinitely long. You wont have a precise value
         | since each measure can be increased by taking a smaller "step"
         | or "ruler", but it won't be infinite.
        
           | saghm wrote:
           | Unbounded, at least. If you give me a measurement, I can give
           | you a larger one that's more precise.
        
       | tiku wrote:
       | Depends on your measurements. If you measure with 1 cm it is
       | longer than if measure with 10 cm.
        
       | ck2 wrote:
       | ah the coastline paradox
       | 
       | https://en.wikipedia.org/wiki/Coastline_paradox
       | 
       | where the sampling rate affects distance measured
       | 
       | this is also why the GPS on your watch will reports different
       | distances the more frequently it samples, ie. once per second vs
       | once per every few seconds, think curves becoming diagonal lines
       | 
       | it's also why they measure official distances using a wheel on a
       | stick
        
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