Koch Snowflake
Last updated at February 26, 2026 by Teachoo
Transcript
Question 2 - Figure it out (Page 73) Find the number of sides in the nth step of the shape sequence that leads to the Koch Snowflake.Let ๐บ_๐ represent the number of sides. Every time we take a step, every ๐ straight line is broken and replaced by ๐ new smaller lines. This means we just multiply the number of sides by 4 at each step Step 0: 3 sides (it's a triangle). (๐บ_๐=๐) Step 1: 3 ร 4=12 sides. (๐บ_๐=๐๐) Step 2: 12 ร 4=48 sides. (๐บ_๐=๐๐) Step ๐ Formula: ๐บ_๐=๐ ร ๐^๐