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• catalog abstract "Although the patterns are computer-generated, the book is informal and emphasis is on the fun that the true pattern lover finds in doing rather than in reading about the doing.".
• catalog contributor b9522925.
• catalog created "c1995.".
• catalog date "1995".
• catalog date "c1995.".
• catalog dateCopyrighted "c1995.".
• catalog description ""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 -- ".
• catalog description ""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 -- ".
• catalog description "Although the patterns are computer-generated, the book is informal and emphasis is on the fun that the true pattern lover finds in doing rather than in reading about the doing.".
• catalog description "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 -- ".
• catalog description "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.".
• catalog description "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 -- ".
• catalog description "Includes bibliographical references and index.".
• catalog description "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 -- ".
• catalog description "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 [and others] -- 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 -- ".
• catalog description "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 -- ".
• catalog description "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 [and others] -- 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 -- ".
• catalog extent "xxix, 427 p. :".
• catalog identifier "981021426X :".
• catalog issued "1995".
• catalog issued "c1995.".
• catalog language "eng".
• catalog publisher "Singapore ; River Edge, NJ : World Scientific,".
• catalog subject "745.4 20".
• catalog subject "Computer graphics.".
• catalog subject "T385 .P376 1995".
• catalog tableOfContents ""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 -- ".
• catalog tableOfContents ""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 -- ".
• catalog tableOfContents "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 -- ".
• catalog tableOfContents "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.".
• catalog tableOfContents "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 -- ".
• catalog tableOfContents "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 -- ".
• catalog tableOfContents "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 [and others] -- 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 -- ".
• catalog tableOfContents "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 -- ".
• catalog tableOfContents "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 [and others] -- 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 -- ".
• catalog title "The pattern book : fractals, art, and nature / editor, Clifford A. Pickover.".
• catalog type "text".