1
00:00:00,000 --> 00:00:04,667
We see here at level 1, there is 5 segments.
2
00:00:04,667 --> 00:00:07,835
Each one is 1/3 of the original.
3
00:00:07,835 --> 00:00:13,493
So the length is 5/3 times L.
4
00:00:13,493 --> 00:00:20,652
So at level 2, we would have 5 squared over 3 squared
5
00:00:20,652 --> 00:00:26,502
times L. Or 25/9 of L. At level N, well we'd have
6
00:00:26,502 --> 00:00:29,458
5/3 raised to the N power.
7
00:00:29,958 --> 00:00:32,794
And the fractal dimension is the number
8
00:00:32,794 --> 00:00:37,121
of copies, 5, divided by the reduction factor, 3.
9
00:00:37,121 --> 00:00:40,520
So it's log 5 divided by log 3.