Originally Posted by
terrymorse
How bendy is your tape measure? The more bendy it is, the more it can follow the tiny contours of the coastline, and you'll get a larger answer.
The sum of an infinite series can be finite.
But more practically, surely the "bendiness" or scale of relevance is a bicycle wheel on the surface of a road. If you believe you can measure the distance traveled with a bike wheel, you don't have to get caught up in measuring around every pebble embedded in the road surface.