Adams, R. McC. "Ancient Sumer, Modern Iraq," Scientific American, July 1994.
Auster, P. Mr. Vertigo Viking, 1994.
Avron, J., and Simon, B., "Almost periodic Hill's equation and the rings of Saturn," Phys. Rev. Let. 46 (1981), 1166-1168.
Bak, P., How Nature Works: The Science of Self-Organized Criticality, Springer, 1996.
Bak, P., Chen, K., "Self-organized criticality," Sci. Am. Jan, 1991.
Bak, P., Tang, C., and Wiesenfeld, K., "Self-organized criticality," Phys. Rev. A 38 (1988), 364-374.
Bandt, C., "Self-similar sets 5. Integer matrices and fractal tilings of Rn," Proc. Amer. Math. Soc., 112 (1991), 549-562.
Banks, J., Brooks, J., Cairns, G., Davis, G., and Stacey, P., "On Devaney's definition of chaos," American Mathematical Monthly 99 (1992), 332-334.
Barnsley, M., Fractals Everywhere, Academic Press, San Diego, 1993. (2nd Ed.)
Beach, D., ed., Aspects of Schenkeian Theory, Yale University Press, New Haven, 1983.
Bedient, R., Frame, M., Gross, K., Lanski, J., Sullivan, B., "Higher block IFS 1: memory reduction and dimension computation," Fractals 18 (2010), 145-155.
Ben-Jacob, E., Shochet, O., Cohen, I., Tenenbaum, A., Czirok, A., and Vicsek, T., "Cooperative strategies in formation of complex bacterial patterns," Fractals 4 (1995), 849-868.
Berlyne, D., Aesthetics and Sociobiology, Appleton-Century-Crofts, New York, 1971.
Bois, Y-A., Corwart, J., Pacquement, A., Ellsworth Kelly. The Years in France, 1948-1954, National Gallery of Art, Washington, 1992
Borges, J. L. The Aleph and Other Stories 1933-1969, E. P. Dutton, 1978.
Borges, J. L. Labyrinths, New Directions, 1962.
Boyajian, G., and Lutz, T., "Evolution of biological complexity and its relation to taxonomic longevity in the Ammonoidea," Geology 20 (1992), 983-6.
Brady, R., and Ball, R., "Fractal growth of copper electrodeposits," Nature 309 (1984), 225-229.
Browne, M., "J. S. Bach + Fractals = New Music," New York Times, Tuesday, April 16 (1991), C1.
Caley, A., "The Newton-Fourier imaginary problem," Amer. J. Math 2 (1879), 97.
Clarke, A., The Ghost from the Grand Banks, Bantam, 1990.
Coleman, P., "Fractals and the universe," Fractals 3 (1995), 567-579.
Coleman, P., Pietronero, L., "The fractal structure of the universe," Physics Reports, 213 (1992), 311-389.
Cook, M., "Universality in elementary cellular automata" Complex Systems, (2004), 1-40.
Coulette, P. and Tresser, C., "Iteration d'endomorphismes et groupe de renormalisation," J. De Physique Colloque C 539 (1978), C5-25.
Courtial, J., Leach, J., and Padgett, M., "Fractals in pixellated video feedback," Nature 414 (2001), 864.
Courtial, J. and Padgett, M., "Monitor-outside-a-monitor effect and self-similar fractal structures in the eigenmodes of unstable optical resonators," Physical Review Letters 85 (2000), 5320-5323.
Cowart, J., "Method and motif: Ellsworth Kelly's 'Chance' grids and his development of color panel painting, 1948-1951," pages 37-45 of Ellsworth Kelly: The Years in France. 1948-1954, National Gallery of Art, Washington, 1992.
Crichton, M., Jurassic Park, Alfred A. Knopf, New York, 1990.
Cruthcfield, J., "Space-time dynamics in video feedbacks," Physcia D 10 (1984), 229-245.
Curry, J. H., Garnett, L., and Sullivan, D., "On the iteration of a rational function: computer experiments with Newton's method," Commun. Math. Phys. 91 (1983), 267-277.
Cutting, J., DeLong, J., Nothelfer, C., "Attention and the evolution of Holywood film," Psychological Science (2010), DOI:10.1177/0956797610361679
Darst, R., Palagallo, J., Price, T., "Fractal tilings in the plane," Mathematics Magazine, 71 (1998), 12-23.
Dekking, F., "Recurrent sets," Advances in Mathematics 44 (1982), 78-104.
Descharnes, R., Dali, Harry Abrams, NY, 1985.
Devaney, R., Introduction to Chaotic Dynamical Systems 2nd Ed, Addison-Wesley, 1989.
Ditto, W., Rauseo, S., and Spano, M., "Experimental Control of Chaos," Physical Review Letters 65 (1990), 3211-3214.
Doran, M., ed., Conversations with Cézanne, Univ. of California Press, 2001
Douady, A., and Hubbard, J., "Etude dynamique des polynomes complexes, I, II" Publ. Math. Orsay 1984, 1985.
Douady, A., and Hubbard, J., "On the dynamics of polynomial-like mappings," Ann. Sci. Ecole Norm. Sup,, 18 (1985), 287-343.
Eglash, R., African Fractals, Rutgers University Press, 1999.
Falconer, K., Fractal Geometry. Mathematical Foundations and Applications 2nd ed., Wiley, 2003.
Falconer, K., Techniques in Fractal Geometry, Wiley, 1997.
Feder, F., Jossang, T. and Rosenqvist, E., "Scaling behavior and cluster fractal dimension determined by light scattering from aggregating proteins," Physical Review Letters 53 (1984), 1403-1406.
Feigenbaum, M., "Quantitative universality for a class of nonlinear transformations," J. Stat. Phys. 19 (1978), 25-52.
Frame, M., Johnson, B., and Sauerberg, J., "Fixed points and Fermat: a dynamical systems approach to number theory," American Mathematical Monthly, 107 (2000), 422-428.
Frame, M. and Lanski, J., "When is a recurrent IFS attractor a standard IFS attractor?" Fractals, 7 (1999), 257-266.
Frame, M. and Mandelbrot, B. B. (eds) Fractals, Graphics, and Mathematics Education, Mathematical Association of America, 2001.
Frame, M., Neger, N., "Videofeedback with mirrors - analog iterated function systems," Fractals 16 (2008), 275-285.
Frame, M., Neger, N., "Fractal tetrahedra: what's left in, what's left out, and how to build one in four dimensions," Computers & Graphics 32 (2008), 371-381.
Frame, M., Neger, N., "Pascal's triangles, dimensions, and the probability of finding odd numbers," Computers & Graphics 34 (2010), 158-166.
Fricke, R., and Klein, F., Vorlesungen uber die Theorie der automorphen Funktionen, Teubner (Johnson reprint), Leipzig, Germany, 1897.
H. Fujikawa, M. Matsushita, "Fractal growth of Bacillus subtilis on agar plates," J. Phys. Soc. Japan 58 (1989), 3875-3878.
H. Fujikawa, M. Matsushita, "Bacterial fractal growth in the concentration field of a nutrient," J. Phys. Soc. Japan 60 (1991), 88-94
Gardner, M., Wheels, Life, and Other Mathematical Amusements, Viking, 1987.
Garfinkel, A., Spano, M., Ditto, W., and Weiss, J. "Controlling Cardiac Chaos," Science 257 (1992), 1230-1235.
Gleick, J., Chaos. Making a New Science, Freeman, San Francisco, 1983.
Goldberger, A., Rigney, D., and West, B., "Chaos and fractals in human physiology," Scientific American, February 1990, 42-49.
Goossen, E., Ellsworth Kelly, Museum of Modern Art, New York, 1973.
Gould, S., Full House: The Spread of Excellence from Plato to Darwin, Harmony Books, New York, 1996.
Gray, C., The Russian Experiment in Art 1863-1922Thames and Hudson, 1962.
Grebogi, C., Ott, E., and Yorke, J., "Basin boundary metamorpheses: changes in accessible boundary orbits," Physica D 24 (1987), 243-262.
Guckenheimer, J., and McGehee, R., "A proof of the Mandelbrot n2 conjecture," Institute Mittag-Leffler, Report 15, 1984.
Hack, J. "Studies of longitudinal stream profiles in Virginia and Maryland," U. S. Geological Survey Professional Papers 294-B (1957), 45-97.
Henderson, L., The Fourth Dimension and NonEuclidean Geometry in Modern Art, Princeton University Press Press, 1983.
Hersey, G., The Monumental Impulse, Architecture's Biological Roots, MIT Press, 1999.
Hohlfeld, R., and Cohen, N., "Self-similarity and the geometric requirements for frequency independence in antennae," Fractals 7 (1999), 79-84.
Hofstadterand, D., Godel, Escher, Bach: as Eternal Golden Braid. Basic Books, 1979.
Hofstadterand, D., and Dennett, D., The Mind's I. Fantasies and Reflections on Self and Soul. Basic Books, 1981.
Holland, J., "Genetic algorithms," Scientific American, July 1992.
Holland, J., Hidden Order. How Adaptation Builds Complexity, Addison-Wesley, 1995.
Hsu, K., and Hsu, A., "Fractal geometry of music," Proc. Natl. Acad. Sci. USA 87 (1990), 938-941.
Hsu, K., and Hsu, A., "Self-similarity of the '1/f' noise' called music," Proc. Natl. Acad. Sci. USA 88 (1991), 3507-3509.
Hurwitz, H., Frame, M., and Peak, D., "Scaling symmetries in nonlinear dynamics: a view from parameter space," Physica D 81 (1995), 23-31.
Hutchinson, J., "Fractals and self-similarity," Indiana Univ. Math. J. 30 (1981), 713-747.
Jackson, W., "Other shore fractals: Hindu transcendence symbols and the modelling of wholeness"
Jackson, W., Heaven's Fractal Net. Retrieving Lost Visions in the Humanities, Indiana Univ. Pr. 2004.
Janson, H., History of Art, Fourth Edition, Abrams, 1991.
Jeffrey, H. J., "Chaos game visualization of sequences," Computers & Graphics 16 (1992), 25-33.
Kalda, J., "Fractal model of blood vessel system," Fractals 1 (1993), 191-197.
Labini, F., Montuori, M., Pietronero, L., "Scale-invariance of galaxy clustering," Physics Reports, 293 (1998), 61-226.
Langton, C., "Studying artificial life with cellular automata," Physica D 22 (1986), 120-149.
Lapidus, M. L., "Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture," Trans. Amer. Math. Soc. 325 (1991), 465-529.
Lavaurs, P., "Une description combinatoire de l'involution define par M sur les rationnels a denominateur impair," C. R. Acad. Sci. Paris 303 (1986), 143-146.
Leach, J., Padgett, M., and Courtial, J., "Fractals in pixellated video feedback," Contemporary Physics 44 (2003), 137-143.
Lei, T., "Similarity between the Mandelbrot set and Julia sets," Commun. Math. Phys. 134 (1990), 567-616.
Lem, S., The Invincible Penguin, 1973.
Lewis, M., and Rees, D., "Fractal structures of proteins," Science 230 (1985), 1163-1165.
Li, T.-Y., and Yorke, J., "Period three implies chaos," American Mathematical Monthly 82 (1975), 985-992.
Lightman, A., Einstein's Dreams, Warner, New York, 1994.
Ligon, W., "Fractal structures obtained by electrodeposition of silver at an air-water interface," J. Chem. Ed. 64 (1987), 1053.
Lindenmayer. A., "Mathematical models for cellular interactions in development. I and II," Journal of Theoretical Biology 18 (1968), 280-315.
Lovejoy, S. "Area-perimeter relation for rain and cloud areas," Science 216 (1982), 185-187.
Magnus, W., Noneuclidean Tesselations and Their Groups, Academic Press, 1974.
Mandelbrot, B. B., The Fractal Geometry of Nature, W. H. Freeman, San Francisco, 1982.
Mandelbrot, B. B., Fractals and Scaling in Finance, Selecta Vol E, Springer-Verlag, New York, 1997.
Mandelbrot, B. B., "How long is the coast of Britain? Statistical self-similarity and fractional dimension," Science 156 (1967), 636-638.
Mandelbrot, B. B., "On the dynamics of iterated maps. III: The individual molecules of the M-set, self-similarity properties, the N-2 rule, and the N-2 conjecture," pgs 213-224 in Chaos, Fractals, and Dynamics, P. Fischer and W. Smith, eds, Marcel Dekker, 1985.
Mandelbrot, B. B., Multifractals and 1/f Noise. Wild Self-Affinity in Physics, Selecta Vol N, Springer-Verlag, New York, 1999.
Mandelbrot, B. B., "Self-Inverse Fractals Osculated by Sigma-Discs and the Limit Sets of Inversion Groups," Mathematical Intelligencer 5 (1983), 9-17.
Mandelbrot, B. B., and Frame, M., "The canopy and shortest path in a self-contacting fractal tree," Mathematical Intelligencer 21 (1999), 18-27.
Mandelbrot, B. B., "A fractal walk down Wall Street," Scientific American, Feb. 1999, 70-73.
Mandelbrot, B. B., Hudson, R., The (Mis)Behavior of Markets. A Fractal View of Risk, Ruin, and Reward, Basic Books, 2004.
Mandelbrot, B. B., Vespignani, A., and Kaufman, H., "Crosscut analysis of large radial DLA: departures from self-similarity and lacunarity effects," Europhysics Letters 32 (1995), 199-204.
Mandelbrot, B., and Wallis, J., "Noah, Joseph and operational hydrology," Water Resources Research 4 (1968), 909-918.
Matsushita, M., Fujikawa, H., "Diffusion-limited growth in bacterial colony formation," Physica A 168 (1990), 498-506.
Matsushita, M., Sano, M., Hayakawa, Y., Honjo, H., and Sawada, Y. "Fractal structures of zinc metal leaves grown by electrodeposition," Physical Review Letters 53 (1984), 286-289.
Matsuura, S., Miyazima, S., "Self-affine fractal growth front of Aspergillus oryzae," Physica A 191 (1992), 30-34.
Matsuura, S., Miyazima,, S., "Colony of the fungus Aspergillus oryzae and self-affine fractal geometry of growth fronts," Fractals 1 (1993), 11-19.
Matsuura, S., Miyazima, S., "Formation of ramified colony of Aspergillus oryzae on agar media," Fractals 1 (1993), 336-345.
May, R., "Simple mathematical models with very complicated dynamics," Nature 261 (1976), 459-467.
McMullen, C. "The Mandelbrot set is universal," pages 1-17 of The Mandelbrot Set, Theme and Variations, Tan Lei, ed., Cambridge University Press (2000).
Meakin, P., "Computer simulation of growth and aggregation processes," pp 111-135 of On Growth and Form: Fractal and Non-Fractal Patterns in Physics, E. Stanley and N. Ostrowsky, eds., Nijhoff, Boston, 1986.
Meara, A., Down the Garden Paths, Long Warf Theater, 1998.
Metropolis, N., Stein, M., and Stein, P., "On finite limit sets for transformations of the unit interval," Journal of Combinatorial Theory 15 (1973), 25-44.
Moon, F., "Fractal boundary for chaos in a two-state mechanical oscillator," Physical Review Letters 53 (1984), 962-964.
Moore, R., Treatise of Invertebrate Paleontology, Geological Society of America, 1957.
Musgrave, F. K., and Mandelbrot, B. B., "The art of fractal landscapes," IBM Journal of Research and Development 35 (1991), 535-540.
Musser, G., "Practical Fractals," Scientific American July 1999, 38.
Nabokov, V., The Eye, Vintage Press, 1990.
Niemeyer, L., Pietronero, L., Wiesmann, H., "Fractal dimension of dielectric breakdown," Physical Review Letters 52 (1984), 1033-1036.
Nonnenmacher, T. F., Losa, G. A., and Weibel, E. R. (Eds.), Fractals in Biology and Medicine, Birkhauser-Verlag, Basel and Boston, 1994.
O'Brien, F., The Third Policeman, Dalkey Archive Press, 2002.
Ott, E., Grebogi, C., and Yorke, J., "Controlling Chaos," Physical Review Letters 64 (1990), 1196-1199.
Patterson, L., "Diffusion-limited aggregation and two-fluid displacements in porous media," Physical Review Letters 52 (1984), 1621-1624.
Peak, D. and Frame, M., Chaos Under Control: The Art and Science of Complexity, W.H. Freeman, New York, 1994.
Peebles, P., Physical Cosmology, Princeton University Press, 1971.
Peebles, P., The Large-Scale Structure of the Universe, Princeton University Press, 1980.
Peebles, P., "The fractal galaxy distribution," Physica D 38 (1989), 273-278.
Peebles, P., Principles of Physical Cosmology, Princeton University Press, 1993.
Peitgen, H.-O., Jurgens, H., and Saupe, D., Chaos and Fractals: New Frontiers of Science, Springer-Verlag, Berlin and New York, 1992.
Peitgen, H.-O., Jurgens, H., Saupe, D., and Zahlten, C., Fractals: An Animated Discussion, W. H. Freeman, New York, 1990. (With interviews of Edward Lorenz and Benoit B. Mandelbrot.)
Peitgen, H.-O., and Richter, P. H., The Beauty of Fractals: Images of Complex Dynamical Systems, Springer-Verlag, Berlin and New York, 1986.
Peitgen, H.-O., and Saupe, D. (eds), The Science of Fractal Images, Springer-Verlag, New York, 1988.
Philip, A. G. ., Robucci, A., and Frame, M., "A new scaling along the spike of the Mandelbrot set,'' Computers & Graphics 16 (1992), 223-234.
Pietronero, L., "The fractal structure of the universe: correlations of galaxies and clusters and the average amss density," Physics A 144 (1987), 257-284.
Pollard-Gott, L., "Fractal repetition in the poetry of Wallace Stevens," Language and Style 19 (1989), 233-249.
Poundstone, W., The Recursive Universe, Contemporary Books, Chicago, 1985.
Powers, R., Galatea 2.2 Harper, 1995.
Powers, R., The Goldbug Variations Harper, 1992.
Powers, R., Plowing the Dark Farrar, Straus and Giroux, 2000.
Prusinkiewicz, P., and Hanan, J., Lindenmayer Systems, Fractals, and Plants, Springer-Verlag, New York, 1989.
Richardson, L., "The problem of contiguity: An appendix of statistics of deadly quarrels," General Systems Yearbook 6 (1961), 139-187.
Robbins, D., "Larry Poons: Creation of the Complex Surface," in Larry Poons: Paintings 1963-1990, Salander-O'Reilly Galleries, New York, 1990.
Roberts, D., and Turcotte, D., "Fractality and self-organized crticality of wars," Fractals 6 (1998), 351-357.
Rudin, W., Principles of Mathematical Analysis, McGraw-Hill, 1953.
Sapoval, B., "Experimental observation of local modes in fractal drums," Physica D 38 (1989), 296-298.
Sapoval, B., Gobron, T., and Margolina, A., "Vibrations of fractal drums," Physical Review Letters 67 (1991), 2974-2977.
Schenker, H., Free Composition, transl. E. Oster, Longman, New York, 1973.
Schermer, M., "The chaos of History: on a chaotic model that represents the role of contingency and necessity in historical sequences," Nonlinearity Today, 2 (1993), 1-13.
Schreiner, O., The Story of an African Farm, Penguin Books, 1995. Originally published in 1883.
Shearer, R. R., "Chaos theory and fractal geometry: their potential impact on the future of art," Leonardo 25 (1992), 143-152.
Shishikura, M., "The Hausdorff dimension of the boundary of the Mandelbrot set and Julia sets," Annals of Mathematics 147 (1998), 225-267.
Simmt, E., and Davis, B., "Fractal cards: a space for exploration in geometry and discrete mathematics," The Mathematics Teacher 91 (1998), 102-108.
Snow, R., "Fractal sinuoisty of stream channels," p 99-109 of Fractals in Geophysics, C. Scholz, B. Mandelbrot, eds., Birkhauser Verlag, Basel, 1989.
Sorkin, G., "Simulated annealing on fractal fitness landscapes," Algorithmica 6 (1991), 367-418.
Stewart, I. "Order within the chaos game," Dynamics Newsletter 3 (1989), 4-9.
Stoppard, T., Arcadia, Faber & Faber, 1993.
Tan Lei, "Ressemblance entre l'ensemble de Mandelbrot et l'ensemble de Julia au voisinage d'un point de Misiurewicz," p. 139-152 in Douady, A., and Hubbard, J., "Etude dynamique des polynomes complexes II," Publ. Math. Orsay 1985.
Taylor, R. P., "Order in Pollock's chaos," Scientific American December 2002, 116-121.
Taylor, R. P., Micolich, A. P., Jonas, D., "Fractal analysis of Pollock's drip paintings," Nature 399 (1999), 422.
Turcotte, D., "Fractals in geology and geophysics," p 171-196 of Fractals in Geophysics, C. Scholz, B. Mandelbrot, eds., Birkhauser Verlag, Basel, 1989.
Turing, A., "The chemical basis of morphogenesis," Philosophical Transactions B 237 (1952), 37-72.
Updike, J., Roger's Version, Knopf, 1986.
Uribe, D., Fractal Cuts Tarquin Publishers, 1993.
Vellekoop, M., and Berglund, R., "In intervals, transitivity = chaos," American Mathematical Monthly 101 (1994), 353-355.
Voss, R., "Long-range fractal correlations in DNA introns and exons," Fractals 2 (1994), 1-6.
Voss, R. F., "Random fractals: self-affinity in noise, music, mountains, and clouds," Physica D 38 (1989), 362-371.
Voss, R. F. and Clarke, J., "1/f noise in music and speech," Nature 258 (1975), 317-318.
West, B., Fractal Physiology and Chaos in Medicine, World Scientific, Singapore, 1990.
Weyl, H., Symmetry, Princeton University Press, 1952.
Wilhelm, K., Death Qualified, St. Martin's, 1991.
Willinger, W., and Paxson, V., "Where mathematics meets the internet," Notices of the AMS 45 (1998), 961-970.
Witten, T., and Sander, L., "Diffusion-limited aggregation," Physical Review B 27 (1983), 5686-5697.
Witten, T., and Sandler, L., "Diffusion-limited aggregation, a kinetic critical phenomenon," Physical Review Letters 47 (1981), 1400-1403.
Wolfram, S., "Universality and complexity in cellular automata," Physica D 10 (1984), 1-35.
Wolfram, S., Theory and Applications of Cellular Automata, World Scientific, 1986.
Wolfram, S., A New Kind of Science, Wolfram Media, 2002.
Young, D. "A local activator-inhibitor model of vertebrate skin patterns," Mathematical Biosciences 72 (1984), 51-58.