Well I didn't originally but you have got me thinking. I have just been looking at the Koch snowflake and I think I am starting to get it. Thanks for the mental workout.
As you can probably tell I am no physicist. I don't understand how you can have an infinite area with an infinite perimeter. Can you give me an example of such a shape and I will go and look it up.
Well, as you said the circunference of a circle does indeed equal pi*d so if we have a finite d we will also have a finite c. As for the space, the area of a circle=pi*dsq/4 as we all know, so if the area is finite the d will be finite and therefore using pi*d, the c will be finite.
Although a circumference would be finite as it encloses a finite space, if you said that the diameter was infinite (presuming you can say that) would this then make the circumference is infinite?
Another was to look at it, is if you take a circle of finite size and then keep enlarging it to...