How Long Is the Coast of Britain? (1967)

(jstor.org)

27 points | by Hooke 3 days ago

5 comments

  • 2b3a51 4 hours ago

    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.

    • twocommits 1 hour ago

      Obviously too long to defend against rubber dinghies.

      • 2b3a51 1 hour ago

        There is a lot of coastline and not that many police/coastguards. In fact we have been closing down the coastguard stations since satellite tracking of commercial shipping became the norm.

        (I come from a part of the UK that was notorious for smuggling, wrecking and other forms of piracy).

        • gib444 29 minutes ago

          They're referring to the aslyum seekers (groan)

          605 on 10 boats just 3 days ago...

          FWIW it's a political problem, not a defence problem.

      • paradox460 2 hours ago

        Infinitely long. You can't trick me with the coast paradox

        • _ache_ 21 minutes ago

          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.

          • theodric 22 minutes ago

            This guy* Mandelbrots

            *presumably, but maybe not

          • ck2 22 minutes ago

            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

            • tiku 1 hour ago

              Depends on your measurements. If you measure with 1 cm it is longer than if measure with 10 cm.