kock's kinky curve is created by starting with a straight line segment and replacing it with a four segments, each 1/3 as long a
s the original segment. So, at the second stage the curve has three bends, At the next stage, each segment is replaced by four segments, and so on. How many bends does this curve have at the third stage? the fourth stage? The nth stage?
Here is how this is solved. First stage one segment second stage 3 segment each 1/3 of the original (like dividing the first one into 3) this creates three bending 3rd stage each one of the 1/3 long segments is now divided into 4 making a total of 12 low and behold there is 12 bendings in total the idea here is each division is considered a bend
