Koch snowflake
Limits of area

The limit of the area is:

since 4 9 < 1 {\displaystyle {\tfrac {4}{9}}<1}.

Thus, the area of the Koch snowflake is 8 5 {\displaystyle {\tfrac {8}{5}}} of the area of the original triangle. Expressed in terms of the side length s {\displaystyle s} of the original triangle, this is:
keywords:letter_frequency