True distance is infinite
Posted by Pugsly on January 04, 2003 at 19:38:23:
In Reply to: I'm Afraid posted by Harold Ericsson on December 26, 2002 at 15:51:42:
Just to further complicate matters, the argument has been made that the distance between any two points over any surface is infinite. This is because if you were to map your path over the surface, you would never reach a point where that surface could be deconstructed into smaller and smaller objects, which must all be traveled across.
The distance is infinite, though confined within a finite space.
fractals, chaos theory, and all that... does your brain hurt yet?