Name: Anonymous 2008-04-11 13:31
I used to get really mindfucked by fractals. How can something exist in a fraction of a dimension? How is it that the sphereflake can have an infinite surface area and a finite volume? We can imagine fractals and even draw them to a great deal of accuracy but a true fractal cannot exist in the physical universe.
That's the answer to both of those questions. Fractals simply don't exist. And infinite area within a finite volume isn't really all that bizarre. In fact any three-dimensional space contains an infinite amount of area. Think of a cube. It can be viewed as a stack of an infinite number of squares. Just like a line can be thought of as an infinite number of line segments.
Anyway, fuck fractals.
That's the answer to both of those questions. Fractals simply don't exist. And infinite area within a finite volume isn't really all that bizarre. In fact any three-dimensional space contains an infinite amount of area. Think of a cube. It can be viewed as a stack of an infinite number of squares. Just like a line can be thought of as an infinite number of line segments.
Anyway, fuck fractals.