Koch Snowflake Area: Intro (1 of 4)

This video continues with the Koch Snowflake, named after the Swedish mathematician Helge Von Koch. The shape has an infinite perimeter but a finite area. This video focuses on finding the area of the snowflake by looking at the area after each step of the iteration process and noticing a pattern. Every step of the iteration adds new equilateral triangles to the area. The area from each step can be added together and the result is an infinite sum that can be simplified into a formula for finding the area of the Koch Snowflake when given the side length of the original equilateral triangle. This fractal is formed by starting with an equilateral triangle and carrying out a simple process known as iteration infinitely many times. Each step of the process cuts the sides of the triangle into three equal pieces and replaces the middle piece with an equilateral triangle (without the inner side). Video of part 2:    • Koch Snowflake Area: Calculation (2 of 4)   Video of part 3:    • Koch Snowflake Area: Infinite Sum (3 of 4)   Video of part 4:    • Koch Snowflake Area: Formula (4 of 4)   Fractal Playlist:    • Fractals   EulersAcademy.org