References

Articles the Fractal Crew read:

Adajian T. The Definition of Art, Stanford Encyclopedia of philosophy. 23 Oct, 2007. June 2008, http://plato.stanford.edu/entries/art-definition/.

Bingham, NH. Studies in the history of probability and statistics XLVI. Measure into probability: from Lebesgue to Kolmogorov

Cox D.J. Caricature, Readymades and Metamorphosis: Visual Mathematics in the Context of Art. Leonardo, Vol. 25, No. 3/4, Visual Mathematics: Special Double Issue, 1992, pp. 295-302

Elliott D. and Lester P. M. Visual Communication and an Ethic for Images, 2002. June 2008, http://commfaculty.fullerton.edu/lester/writings/imageethic.html.

Franke H. W. and Helbig H. S. Generative Mathematics: Mathematically Described and Calculated Visual Art. Leonardo, Vol. 25, No. 3/4, Visual Mathematics: Special Double Issue 1992, pp. 291-294.

Gowers W.T. The importance of Mathematics. June 2008, http://www.dpmms.cam.ac.uk/~wtg10/importance.pdf.

Gowers W.T. Does Mathematics need a philosophy?

Mandelbrot B.B. Fractals and an Art for the Sake of Science, Leonardo. Supplemental Issue, Vol. 2, Computer Art in Context: SIGGRAPH '89 Art Show Catalog 1989, pp. 21-24.

Mandelbrot, B. B. The many faces of scaling: fractals, geometry of nature, and economics, in Self-Organization and Dissipative Structures, W. C. Shieve and P. M. Allen, editors, University of Texas Press, Austin, 1982, pp. 91-109.

Mandelbrot B.B. and Blumen A. Fractal Geometry: What is it, and What Does it do? [and Discussion] Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 423, No. 1864, Fractals in the Natural Sciences, May 8, 1989, pp. 3-16.

Parris, Richard. Root Finding Route to Chaos

Peterson, I. Fragments of Infinity: A kaleidoscope of math and art, Wiley, New York, 2001. (Chapter 5)

Rowling, J.K. The Fringe Benefits of Failure

Salat S. and Labbe F. The Fractal Cube and the Paradigm Shift in Art and Science. Leonardo, Vol. 27, No. 3, Art and Science Similarities, Differences and Interactions: Special Issue, (1994), pp. 241-248.

Van de Water M., Mathematical Measure for Art, The Science News-Letter, Vol. 25, No. 675, (Mar. 17, 1934), pp. 170-172.

Wright R. Q. Some Issues in the Development of Computer Art as a Mathematical Art Form. Electronic Art [12] pp. 103-110. 27.

Main Mathematical References:

Falconer, K. The Geometry of Fractal Sets. Cambridge University Press, New York, 1985.

Royden, H. Real Analysis. 2nd ed. Macmillan Publishing, New York, 1968.

Trott, M, The Mathematica GuideBook for Graphics, Springer-Verlag, New York, 2004.

Additional Readings:

Fractals : the patterns of chaos : a new aesthetic of art, science, and nature -John Briggs

The Beauty of Fractals : images of complex dynamical systems -Heinz-Otto Peitgen

Mathematical Impressions -Anatoly Fomenko

Turbulent Mirror -John Briggs and F. David Peat

Chaos: Making a New Science -James Gleick

Fractal Cosmos: The Art of Mathematical Design -Amber Lotus

Introduction to Mathematical Philosophy -Bertrand Russell