Posts

Showing posts from December, 2017

Koch Snowflake Area paradox: it's infinite I say.

I disagree that the area of the Koch snowflake is finite, as claimed. The calculation may give the result of a finite number—from a fixed point—but as the system is iterating infinity, as is assumed, the area of each added triangle will be real, and these areas infinitely diminish—asymptotically.  If we zoom into the 'last' iteration area size, where the area becomes finite, we likely see the iteration continuing with this diminishing added area. Infinite Series and convergence. There is a paradox here, a practical result conflicting with a calculated result. In reality, it is both: these infinite series must go on (converging), presenting ever-diminishing values, and thus, the 'limit' must be irrational, not finite. But I will not challenge the finite calculation; I do not have the authority or ability to do that.  Interesting.