Comments by "Rob Fraser" (@krashd) on "Vysvětlení "pobřežního" paradoxu" video.

Yeah, it wouldn't be infinite, but it would be a horrendously massive number. You would have to settle on a solid metric no smaller than 1 meter or else all of the tiny little ins and outs and jaggy edges of the coastline would mean you'd have recorded about 1km of coastline before you were even 100 meters from where you started and the UK would end up with more coastline than Canada currently has using a 5km metric. If you were daft enough to use something like 5mm as a metric Britain's coastline would be a journey to the Moon and back.
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If something increases exponentially it is fair to say it approaches infinity. Technically just going from 1 to 2 would be approaching infinity.
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He didn't leave you out you muppet, he was explaining what the map would become if only distances of 100km were taken in to account. Listen to videos and try to understand them.
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The smaller your measurement the larger the result. The edge of a brick might be 3 inches but look at it very closely and it's not flat, it goes all over the place meaning a more accurate measurement would put that edge at more than 3 inches. Now if you look at that edge under a microscope it is no longer even a straight line, it's a jaggy surface of mountains and valleys and measuring up and over or down in to each and every one of them would give you a distance of many yards, zoom in even further and you would effectively be measuring the distance from where you are to the next city by individually measuring every branch, twig or leaf on every tree that gets in your way and you'd have a line that would have a hundred zero's in it's length. A distance of just 30km would seem like thousands.
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