Generalized Koch Snowflakes

Cheri Shakiban and Janine E. Bergstedt
Bridges: Mathematical Connections in Art, Music, and Science (2000)
Pages 301–308


In this paper, we show how a new procedure based on vector calculus and modular arithmetic is used to generate the Koch Snowflake. The procedure is then applied to create more generalized snowflakes. We also use a new method of calculating their fractal dimension based on the scaling factor.