Problem 60576. Perimeter of a Koch snowflake

A Koch snowflake is an iteratively generated (fractal) shape built out of successively smaller equilateral triangles by following these steps:
  1. Draw an equilateral triangle. (n = 0)
  2. Divide the line segment into three segments of equal length.
  3. Draw an equilateral triangle that has the middle segment from step 2 as its base and points outward.
  4. remove the line segment that is the base of the triangle from step 3. (n = 1)
  5. Repeat steps 2 - 4. (n = 2,3,...)
In the limit of this shape has an infinite perimeter and a finite area. For , this perimeter is calculable. Calculate both of these values for any input value of n and any starting triangle edge length, s.
[A1,P1] = KochSnowflake(n,s)
n = 0,1,2,3 of Koch Snowflake
Solve

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66.67% Correct | 33.33% Incorrect
Last Solution submitted on Jan 15, 2025

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