Generalized Koch Snowflakes

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Reference

Cheri Shakiban and Janine E. Bergstedt: Generalized Koch Snowflakes. In: Bridges 2000. Pages 301–308

DOI

Abstract

In this paper, we show how a new procedure based on vector calculus and modular arithmatic 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.

Extended Abstract

Bibtex

Used References

[1] B. Mandelbrot, The Fractal Geometry of Nature, Freeman, 1982.

[2] R. Devaney, A First Course in Chaotic Dynamical Systems, Addison-Wesley, 1992.

[3] M. Barnsley, Fractals Everywhere, Academic Press, 1988.


Links

Full Text

http://archive.bridgesmathart.org/2000/bridges2000-301.pdf

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Sonstige Links

http://archive.bridgesmathart.org/2000/bridges2000-301.html