Exploring the effect of direction on vector-based fractals

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Reference

Ibrahim, M., Krawczyk, R.: Exploring the effect of direction on vector-based fractals. In: Bridges Proceedings 2002, pp. 213–219 (2002).

DOI

Abstract

This paper investigates an approach to begin the study of fractals in architectural design. Vector-based fractals are studied to determine if the modification of vector direction in either the generator or the initiator will develop alternate fractal forms. The Koch Snowflake is used as the demonstrating fractal.

Extended Abstract

Bibtex

Used References

[1]Alfonseca, Manuel and Ortega, Alfonso. (1997). Representation of Fractal Curves by Means of L Systems. In IBM Journal of Research and Development Vol. 41:6 (Nov.): p.727-736.

[2]Barrallo, Javier and Sanchez, Santiago, (2001) Fractal Types and Coloring Algorithms. In Mathematics and Design 2001, Mark Burry; Australia, Deakin University.

[3]Durmisevic, S. and O. Ciftcioglu. (1998). Fractals in Architectural Design. In Mathematics and Design. Javier Barrallo, the university of the Basque Country

[4]Mandelbrot, Benoit B. (1982). The Fractal Geometry of Nature. San Francisco: W.H. Freeman.

[5]Pickover, Clifford. (1996). Fractal horizons. New York: St. Martin’s Press.

[6]Shakiban C. and Berstedt J.E. (1998) Generalized Koch Snowflakes. In Bridges: Mathematical Connections in Art, Music and Science.

[7]Weisstein, Eric W. (1999) Concise Encyclopedia of Mathematics, CD-ROM edition 1.0, Chapman & Hall/CRCnetBASE

[8]Yessios, Chris I. (1987). A Fractal Studio. In ACADIA ’87 Workshop Proceedings.


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Full Text

http://www.iit.edu/~krawczyk/mibrdg02.pdf

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