References

ACGD88

A. Amann, L. Cederbaum, W. Gans, and NATO Scientific Affairs Division. Fractals, quasicrystals, chaos, knots, and algebraic quantum mechanics, volume 235 of NATO ASI series. Series C, Mathematical and physical sciences. Kluwer Academic Publishers, Dordrecht; Boston, 1988. NATO Advanced Research Workshop on New Theoretical Concepts in Physical Chemistry (1987: Aquafredda di Maratea, Italy).

Bae90

H. C. Von Baeyer. Impossible crystals. Discover Magazine, pages 69-78, February 1990.

Bar93

M. F. Barnsley. Fractals everywhere. Academic Press, Boston, 2nd edition, 1993.

Bay94

William E. Baylis. Theoretical methods in the physical sciences: an introduction to problem solving using Maple V. Birkhäuser, Boston, 1994.

BD86

M. F. Barnsley and Stephen G. Demko. Chaotic dynamics and fractals., volume 2 of Notes and reports in mathematics in science and engineering. Academic Press, Orlando, 1986.

BH91

Armin Bunde and Shlomo Havlin. Fractals and disordered systems. Springer-Verlag, Berlin; New York, 1991.

BHL91

William A. Brock, David A. Hsieh, and Blake Dean LeBaron. Nonlinear dynamics, chaos, and instability: statistical theory and economic evidence. MIT Press, Cambridge, Mass., 1991.

Bla84

Paul Blanchard. Complex analytic dynamics on the Riemann sphere. Bull. Amer. Math. Soc. (N.S.), 11(1):85-141, 1984.

CE80

P. Collet and J. P. Eckmann. Iterated maps on the interval as dynamical systems. Birkhäuser, Boston, 1980.

CEJ91

A. J. Crilly, Rae A. Earnshaw, and H. Jones. Fractals and chaos. Springer-Verlag, New York, 1991.

Cho92

C. Choffrut. Iterated substitutions and locally catenative systems: a decidability result in the binary case. In G. Rozenberg and A. Salomaa, editors, Lindenmayer Systems: Impacts on theoretical computer science, computer graphics, and developmental biology, pages 49-92. Springer-Verlag, Berlin, 1992.

CK87

G. Cherbit and Jean-Pierre Kahane. Fractals: dimensions non entieres et applications. Masson, Paris; New York, 1987.

dB81

N. G. de Bruijn. Algebraic theory of Penrose's non-periodic tilings of the plane, i,ii. Nederl. Akad. Wetensch. Proc. Ser. A, 84:38-52, 53-66, 1981.

dB90

N. G. de Bruijn. Updown generation of Penrose patterns. Nederl. Akad. Wetensch. Indag. Math., 2:201-219, 1990.

Dek82

F. M. Dekking. Recurrent sets. Adv. in Math., 44:78-104, 1982.

Dev89a

Robert L. Devaney. Chaos, fractals and dynamics [videorecording]: computer experiments in mathematics. distributed by the American Mathematical Society, Providence, R.I., 1989.

Dev89b

Robert L. Devaney. An introduction to chaotic dynamical systems. Addison-Wesley studies in nonlinearity. Addison-Wesley, Redwood City, Calif., 2nd edition, 1989.

Dev90

Robert L. Devaney. Chaos, Fractals, and Dynamics: Computer Experiments in Mathematics. Addison-Wesley, 1990.

DFv82

Michel Dekking, Michel Mendès France, and Alf van der Poorten. Folds! Math. Intelligencer, 4:130-138, 1982.

DK70

C. Davis and D. E. Knuth. Number representations and dragon curves. J. Recreational Math., 3:66-81 & 133-149, 1970.

DKA89

Robert L. Devaney, Linda Keen, and Kathleen T. Alligood. Chaos and fractals: the mathematics behind the computer graphics., volume 39 of Proceedings of symposia in applied mathematics, AMS short course lecture notes. American Mathematical Society, Providence, RI, 1989.

Dun90

William Dunham. Journey Through Genius: The Great Theorems of Mathematics. John Wiley & Sons, New York, 1990.

Edg90

Gerald A. Edgar. Measure, topology, and fractal geometry. Undergraduate texts in mathematics. Springer-Verlag, New York, 1990.

Fal85

K. J. Falconer. The geometry of fractal sets. Number 85 in Cambridge tracts in mathematics. Cambridge University Press, Cambridge; New York, 1985.

Fal90

K. J. Falconer. Fractal geometry: mathematical foundations and applications. Wiley, Chichester; New York, 1990.

Fed88

Jens Feder. Fractals. Physics of solids and liquids. Plenum Press, New York, 1988.

FS85

P. Fischer and William R. Smith. Chaos, fractals, and dynamics, volume 98 of Lecture notes in pure and applied mathematics. M. Dekker, New York, 1985.

Gar67

Martin Gardner. An array of problems that can be solved with elementary mathematical techniques. Sci. Amer., 216, Mar., Apr., June 1967.

Gar77

Martin Gardner. Mathematical games. Sci. Amer., August 1977.

Gar78

Martin Gardner. Aha! Aha! insight. Scientific American, New York, 1978.

GK

J. Guckenheimer and S. Kim. dstool: Dynamical System Toolkit with Interactive Graphic Interface.

Gle88

James Gleick. Chaos: making a new science. Penguin, New York, 1988.

GS87

B. Grünbaum and G. C. Shephard. Tilings and Patterns. W. H. Freeman, New York, 1987.

Hof90

Paul Hoffman. Math in the bath. Discover Magazine, page 4, February 1990.

Hol86

Arun V. Holden. Chaos. Princeton University Press, Princeton, N.J., 1986.

HW79

G. H. Hardy and Edward Maitland Wright. An introduction to the theory of numbers. Oxford University Press, New York, 1979.

Ken92

Richard Kenyon. Self-replicating tilings. In Peter Walters, editor, Symbolic Dynamics and its Applications, volume 135 of Contemporary Mathematics, pages 239-263. Amer. Math. Soc., 1992.

KG95

Daniel Kaplan and Leon Glass. Understanding Nonlinear Dynamics. Springer-Verlag, 1995.

Lau91

H. A. Lauwerier. Fractals: endlessly repeated geometrical figures. Princeton science library. Princeton University Press, Princeton, N.J., 1991.

MAF90

Benoit B. Mandelbrot, Amnon Aharony, and Jens Feder. Fractals in physics: essays in honour of Benoit B. Mandelbrot. North-Holland, Amsterdam, 1990. Proceedings of the international conference honouring Benoit B. Mandelbrot on his 65th birthday, Vence, France, 1-4 October, 1989.

Man67

Benoit B. Mandelbrot. How long is the coast of britain? statistical self-similarity and fractional dimension. Science, 155:636-638, 1967.

Man80

Benoit B. Mandelbrot. Fractal aspects of the iteration of for complex and z. In R. H. G. Helleman, editor, Non-Linear Dynamics, volume 357 of Annals of the New York Academy of Sciences, pages 249-259. New York Academy of Sciences, 1980.

Man83

Benoit B. Mandelbrot. The Fractal Geometry of Nature. W. H. Freeman, New York, 1983.

Mcg91

Michael Mcguire. An Eye for Fractals. Addison-Wesley, 1991.

McM94

Curtis T. McMullen. Complex dynamics and renormalization. Number 135 in Ann. Math. Studies. Princeton University Press, 1994.

MH38

Marston Morse and G. A. Hedlund. Symbolic dynamics. Amer. J. Math., 60:815-866, 1938.

MH44

Marston Morse and G. A. Hedlund. Unending chess, symbolic dynamics, and a problem in semigroups. Duke Math. J., 11:1-7, 1944.

Mor21

Marston Morse. Recurrent geodesics on a surface of negative curvature. Trans. Amer. Math. Soc., 22:84-110, 1921.

Mor81

Marston Morse. Selected Papers. Springer-Verlag, New York, 1981.

Pap80

Seymour Papert. Mindstorms: children, computers, and powerful ideas. Basic Books, New York, 1980.

Pen79

Roger Penrose. Pentaplexity. Math. Intelligencer, 2:32-37, 1979.

Pen89

Roger Penrose. The emperor's new mind: concerning computers, minds, and the laws of physics. Oxford University Press, Oxford, 1989.

PH89

Przemyslaw Prusinkiewicz and James Hanan. Lindenmayer systems, fractals, and plants., volume 79 of Lecture notes in biomathematics. Springer-Verlag, New York, 1989.

PL87

Edward Roy Pike and L. A. Lugiato. Chaos, noise and fractals. Malvern physics series. A. Hilger, Bristol, 1987.

PL90

Przemyslaw Prusinkiewicz and Aristid Lindenmayer. The Algorithmic Beauty of Plants. Springer-Verlag, New York, 1990.

PR86

Heinz-Otto Peitgen and P. H. Richter. The beauty of fractals: images of complex dynamical systems. Springer-Verlag, Berlin; New York, 1986.

PSB88

Heinz-Otto Peitgen, Dietmar Saupe, and M. F. Barnsley. The Science of fractal images. Springer-Verlag, New York, 1988.

Ras89

S. Neil Rasband. Chaotic dynamics of nonlinear systems. Wiley, New York, 1989.

RS80

Grzegorz Rozenberg and Arto Salomaa. The mathematical theory of L systems, volume 90 of Pure and Applied Mathematics. Academic Press, 1980.

RS92

Grzegorz Rozenberg and Arto Salomaa. Lindenmayer systems: impacts on theoretical computer science, computer graphics, and developmental biology. Springer-Verlag, New York, 1992.

Rud59

Walter Rudin. Some theorems on Fourier coefficients. Proc. Amer. Math. Soc., 10:855-859, 1959.

Sen95

Marjorie Senechal. Quasicrystals and geometry. Cambridge University Press, Cambridge, 1995.

Tab89

Michael Tabor. Chaos and integrability in nonlinear dynamics: an introduction. Wiley, New York, 1989.

Thu12

Axel Thue. Über die gegenseitige Lage gleicher Teile gewisser Zeichenreihen. Norske Vid.-Akad. Oslo Mat.-Natur. Kl. Skr. (N.S.), (1), 1912.

Thu89

W. Thurston. Groups, tilings, and finite state automata. Technical Report GCG1, Geometry Supercomputer Project Research Report, 1989. Summer 1989 AMS Colloquium Lectures.

Vit80

P. M. B. Vitányi. Lindenmayer systems: structure, languages, and growth. Number 96 in Mathematical Centre tracts. Mathematisch Centrum, Amsterdam, 1980.

Wig90

Stephen Wiggins. Introduction to applied nonlinear dynamical systems and chaos. Texts in applied mathematics; 2. Springer-Verlag, New York, 1990.