Koch Snowflake and Anti-Snowflake in Desmos
The Koch Snowflake Fractal or Koch Island is made in desmos by iterating connected points using summation of lists. With a few simple changes to the algorithm you can also make a Koch Anti-Snowflake. The simple geometric understanding of deleting the middle third of each line segment and building an equilateral triangle in its place can be seen as well as looking at the perimeter and area of the shape. As the number of iterations in the Koch Snowflake goes to infinity, the area remains finite but the perimeter goes to infinity because the length is 4/3 times the previous length in each iteration.
You can access the Koch Snowflake Desmos File through this link:
https://www.desmos.com/calculator/rib...
You can access the Koch Anti-Snowflake File through this link:
https://www.desmos.com/calculator/4j4...
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