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 R^{n}," 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 2^{nd}
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
2^{nd} 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
n^{2} 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. |