Each time the order of a Koch fractal increases by one, the number of straight line segments
A) increases by a factor of two
B) increases by a factor of three
C) increases by a factor of four
D) is squared
E) is cubed

Question

Quizplus · Accepted Answer

Each time the order of a Koch fractal increases by one, the number of straight line segments increases by a factor of four. This is because each line segment in the fractal is replaced by four new segments that form a smaller copy of the original shape.

Each Time the Order of a Koch Fractal Increases by One