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afg419 / koch.md
Last active December 2, 2015 01:33

How long is the coastline of England?

Say you were to measure it...

  • Wikipedia says 19,491 miles... but how did they measure it?
  • What size measuring stick did they use, what size should they use?
  • Is smaller better?
  • Intuition: as measuring stick goes down, perimeter goes up, but limits towards the right answer.

The Koch Snowflake

  • That intuition is wrong! Consider a country shaped like the following...