Question

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 as 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?

Answer 1

thats disturbing

Explanation:

Answer 2

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