دانلود کتاب The Pattern Book: Fractals, Art, and Nature

This proceedings volume contains 54 research and expository articles on a wide range of active and interesting areas in pure and applied mathematics. The research articles, taken from the Third Asian Mathematical Conference held in 2001, report on research accomplishments and the significance of the results. Every expository article aims to make the subject interesting by including the state of the subject, description and motivation of the problems, the relevance of the results, and open problems for future research directions. This text should serve as a useful reference for researchers and graduate students Evolution of the solar and planetary vortices / Kevin L. Cope -- Rotating spiral waves in the Belousov-Zhabotinskii reaction / Stefan C. Muller, Theo Plesser and Benno Hess -- Patterns of protein conformations / Henrik Bohr and Soren Brunak -- Blind watchmaker biomorphs / Richard Dawkins -- Apple tree pattern / Phil Brodatz -- Spring tiles the planes of sunlight : decussate and tricussate phyllotaxy in new growth / Dawn Friedman -- Trajectories of a neural network quantizer in rhythm space / Peter Desain and Henkjan Honing -- An internally mechanistic nucleon / Jacques Boivin -- Wood pattern / Phil Brodatz -- Moire pattern / Hans Giger -- Fractal phyllotactic spirals : broccoli "minaret" / Dawn Friedman -- Puppy representation of DNA nucleotide sequences / Ulrich Melcher -- Stone wall pattern / Kazunori Miyata -- Novel representations, pattern, sound / Alan Peevers -- Haeckel's sea-lilies / Clifford A. Pickover -- Diffusion limited aggregation / Daniel Platt -- RNA structure based on prime number sequence / Mels Sluyser and Erik L.L. Sonnhammer -- Genetic patterns as shown by sequence logos / Thomas D. Schneider -- Gaussian fractions / Stephen Schiller -- Lattice design 1 / Ian O. Angell -- Goldbach's comet / Henry F. Fliegel and Douglas S. Robertson -- J-curve (OLFRAC) (14 iterations) ; Carpet (13 iterations) ; 3D-cubes ; The-end / G. Jagoda -- The Ikeda attractor / Clifford A. Pickover -- Star-NLP1-5m / J. Rangel-Mondragon and S.J. Abas -- Whirlpools ; Fern-wolf (Filicinae lupus) / Ilene Astrahan -- Magic tessaract / John Robert Hendricks -- The reversible Greenberg-Hastings cellular automaton / Pablo Tamayo and Hyman Hartman -- Cybernetic rapids / Ilene Astrahan -- Pinwheels ; Circlefest ; XOR size ; Trig gem / C.William Henderson -- Locked links ; Exponential tunnel / Gary Ricard -- A generalization of the regular tiling [4 to the 4th power] ; A pattern by Fujita configurations / Hiroshi Okumura -- Star trails / Kenneth J. Hooper -- An iteration map / David Scruton -- A self-similar structure generated by a broken-linear function ; Roots of algebraic polynomials / Mieczyslaw Szyszkowicz -- Mosaics / Rastislav Telgarsky -- Pattern of Euler's formula ; Self-accelerating version of Newton's method / Mieczyslaw Szyszkowicz -- Voronoi fractal / Ken Shirriff -- The logistic map in the plane ; Modified logistic map in the plane ; Newton's method in the C-plane ; Iterations with a limited number of executions / Mieczyslaw Szyszkowicz -- The starry night, iterates of tan(z) ; From asymmetry to symmetry, iterates of exp(z) and exp [z to the 2nd power] ; Stephen D. Casey -- A variation on a curve of Mandelbrot ; An asymmetric Sierpinski carpet / Stephen D. Casey and Nicholas F. Reingold -- The "computer bug" as artist, opus 3 / Stephen D. Casey -- The last word in fractals ; Topsy-turvy fractal growth / Edward M. Richards -- Symmetrized dot-patterns and cellular automata / William K. Mason -- "Carpet of choas" : mapping the bilaterial symmetric z [to the z power] + c in the complex z and c planes ; "Spidermorphs" : mappings from recursion of the function z [arrow] z [to the z power] + z [to the 4th power] -- z + c ; "Fractal turtle" and "elephant star" : multiple decomposition mapppings of f(z) : z [arrow] z (to the 5th power) + c in the complex plane -- "Entrapped lepidoptera" : an alternative mapping of a Julia set for the function z [arrow] z [to the 4 power] -- z + c / Ian D. Entwistle -- Self-mapping of Mandelbrot sets by preiteration / S. Dean Calahan and Jim Flanagan -- Unrolling the Mandelbrot set ; Parameter space of Mandelbrot sets from variation of coefficients / S. Dean Calahan -- Lizards / Nicolas Chourot and Vedder Wright -- Four-dimensional space flowers / Koji Miyazaki and Manabu Shiozaki -- The dolphin head bifurcation diagram / Istvan Lengyel, Irving R. Epstein, and Helena Rubinstein -- Embellished Lissajous figures / Bob Brill -- Islamic pattern / S.J. Abas -- Swirl / Paul D. Bourke -- Circlegraph 7.11 ; Flow 2.8 / Craig Cassin -- Botanical biomorph arising from the iteration of z (arrow) z (to the third power) + u / John D. Corbit -- Transient microstructure / W.H. Cozad -- Engel curves / Douglas A. Engel -- "Spinning chaos" : an inverse mapping of the Mandelbrot set ; "Wings of choas" : mappings of the function sinh(z) + c in the complex plane ; "Islands among chaos" : mappings of the transcendental function cosh(z) + c in the complex plane ; Alternative methods of displaying the behavior of the mapping z [arrow] z [to the 2nd power] + c ; "Serpents and dragons" : a mapping of f(z) [arrow] sinh(z) + c in the complex plane ; "Star of chaos" : a multiple decomposition mapping of f(z) : z [arrow] [minus] [z to the 7th power] + c in the complex plane / Ian D. Entwistle -- Complex branchings / Michael Frame and Adam Robucci -- Nevada sets / Philippe Gibone -- "Handmade" patch quilt generated by L-system / Ira Glickstein -- Spiraling tree, biomorpic cells ; Fractal hurricane ; Intertwined ; Mandelbrot iteration z [arrow] z [minus two to the 2nd power] + c ; Julia iteration z [arrow] z [minus two to the 2nd power] + c ; Bessel fireworks and Bessel parallelogram ; Fractal moon / Earl F. Glynn -- Isogonal decagons / Branko Grunbaum -- Analytic computer art / Joe Jacobson -- Euler's triangle ; Euler's crossing I and II ; Stripes ; Outer space ; Parquet ; TESS patterns ; Skew squares / William J. Jones -- Fractal gaskets ; An octahedral fractal / Huw Jones -- A packing with icosahedral symmetry I / Haresh Lalvani and Neil Katz -- Hard lines, soft circles ; Tesspoly 3, into Tesspoly and Sectus / Haresh Lalvani -- Tetrahedron / Wentian Li -- Binary matrix symmetry ; TriHadamards / Raymond Guido Lauzzana and Siebe de Vos -- Fractal limit, a fractal pattern emulating M.C. Escher ; Fractal limit, a perspective view / James Elliott Loyless -- Jungle canopy / John MacManus -- A "y" hexomino tiling / Tom Marlow -- Beauty in functions / David S. Mazel / Logistic 3 ; Inflation rules 3 / L. Kerry Mitchell -- Hommage a Durer / V. Molnar and F. Molnar -- The center of Dewdney's radiolarian / Douglas H. Moore -- 2D Feigenbaum / J. Peinke ... [et al.] -- Biomorphic mitosis / David Stuedell -- Triangular numbers and the distribution of primes / Jim Nugent -- Bistable tiling patterns with converging, diverging arrows ; Vivid depth percepts from simple gray-level line patterns / Thomas V. Papathomas -- Mandelbrot set spiral tile mosaics / Kenelm W. Philip -- Evolution of spirals in Mandelbrot and Julia sets / A.G. Davis Philip -- Hyperbolic tilings / Uwe Quasthoff -- Products of three harmonics / Clifford A. Reiter -- Pascalian cellular automata / Donovan E. Smith -- Inverse Mandelbrot art prints ; Bio art prints ; Rotation / Franz G. Szabo -- Wallpaper from GCONTOUR procedure ; Pattern generated by XOR ; Representation of a surface on the plane ; Composition of color pieces ; Patterns composed with squares / Mieczyslaw Szyszkowicz -- Eucledian geometry using IFS / Daniel T.H. Tan ... [et al.] -- The galactic virus attack / David Walter -- Sound ornaments / Wilfried Weber -- An informal tesselation of cats / A.K. Dewdney -- Op art 1 / Jean Larcher -- Extension(s) of a reconstructed Tamil ring-pattern / Paulus Gerdes -- Japanese optical and geometrical art 1 / Hajime Ouchi -- Greek landscape, a visual diary / Joachim Frank -- Persian designs and motifs / Ali Dowlatshahi -- Symmetric Celtic sycophancy / Alan Mackay -- Horoscope / Erhard Schoen -- Bizarre and ornamental alphabets / Carol B. Grafton -- Ambiguous art / Peter Hettich -- Japanese diaper ornaments / W. and G. Audsley -- Satanic flowers / Harold J. McWhinnie -- How to create Celtic anthropomorphic ornaments (beard-pullers) / George Bain -- Clowns / Stephan Kreuzer -- Celtic plants emerging from pots / George Bain -- Interactive patterns between light and matter / Yuzo Nakano -- Art deco design 1 / Marcia Loeb -- Periodic pattern of class 19 / Federico Fernandez -- Turtle moon artists' logo and chop mark / William Tait