Question 2 - Figure it out (Page 73) - Koch Snowflake - Chapter 4 Class 8 - Exploring Some Geometric Themes (Ganita Prakash II

Last updated at August 14, 2026 by

Find the number of sides in the nth step of the shape sequence that - Koch Snowflake

part 2 - Question 2 - Figure it out (Page 73) - Koch Snowflake - Chapter 4 Class 8 - Exploring Some Geometric Themes (Ganita Prakash II - Class 8 (Ganita Prakash - 1, 2 & Old NCERT)

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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 ๐‘บ_๐’ represent the number of sides. Every time we take a step, every ๐Ÿ straight line is broken and replaced by ๐Ÿ’ 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). (๐‘บ_๐ŸŽ=๐Ÿ‘) Step 1: 3 ร— 4=12 sides. (๐‘บ_๐Ÿ=๐Ÿ๐Ÿ) Step 2: 12 ร— 4=48 sides. (๐‘บ_๐Ÿ=๐Ÿ’๐Ÿ–) Step ๐’ Formula: ๐‘บ_๐’=๐Ÿ‘ ร— ๐Ÿ’^๐’

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