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Bridges 2003

Granada, Spain
23–25 July 2003
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Front Matter
The Editors
Three Traditions of Self-Similarity in Fourteenth and Fifteenth Century Islamic Geometric Ornament
Jay Bonner
Pages 1–12
Volution's Evolution
Carlo H. Séquin
Pages 13–24
Classification and Phylogenetic Analysis of African Ternary Rhythm Timelines
Godfried Toussaint
Pages 25–36
Hidden Inscriptions in the Laurentian Library
Paul L. Rosin and Ralph R. Martin
Pages 37–44
Computers, Mathematics and Conceptual Art
Michael Mahan
Pages 45–52
Mathematical Sculpture Classification
Ricardo Zalaya and Javier Barallo
Pages 53–60
Construction and Classifying Designs of al-Andalus
B. Lynn Bodner
Pages 61–68
Nodal Lines and Quasi-Space Filling Curves
Tiziana Giorgi and Caryn Werner
Pages 69–76
On the Perception of Tone
Richard J. Krantz, Jack Douthett and Richard Plotkin
Pages 77–84
Computational Aesthetics Based on Gaze Patterns
Gary R. Greenfield
Pages 85–92
Seashell Architectures
Kamon Jirapong and Robert J. Krawczyk
Pages 93–100
Composable Art: Objects That Can Be Arranged in Many Ways
Marc van Kreveld
Pages 101–108
Mathematics in Literature
Lorna B. Hanes
Pages 109–118
Dimension of Time in Strange Attractors
Robert J. Krawczyk
Pages 119–126
Geometric Mosaic Tiling on Hyperbolic Sculptures
Irene Rousseau
Pages 127–134
The Mathematics of Color-Reversing Decorative Friezes: Facades of Pirgí, Greece
David A. James, Loukas N. Kalisperis and Alice V. James
Pages 135–142
Computer-Aided Aesthetic Evaluation of Visual Patterns
Tomáš Staudek
Pages 143–150
Frieze-Generation Using Artificial Life
Dirk Fischer, Eric Goles and Mario Markus
Pages 151–160
A Unified Theory of Proportion
Jay Kappraff and Gary W. Adamson
Pages 161–172
The Art in Polynomiography of Special Polynomials
Bahman Kalantari
Pages 173–180
Arraying Alternative Housing Archetypes: An Outline Resource
Jin-Ho Park
Pages 181–188
Play with Infinity
Jean-Marc Castera
Pages 189–196
Two Perspectives on Inversion
John Sharp
Pages 197–204
Finding the Dual of the Tetrahedral-Octahedral Space Filler
Eva Knoll and Simon Morgan
Pages 205–212
Square Decompositions with Hyperbolic Consequences in Art, Chemical Physics and Mathematics
Robert G. Smits
Pages 213–218
Polyhedral Designs of Detection Systems for Nuclear Physics Studies
N.G. Nicolis
Pages 219–228
Leonardo da Vinci's Bar Grids
Rinus Roelofs
Pages 229–234
Fractal Geometry and Self-Similarity in Architecture: An Overview Across the Centuries
Nicoletta Sala
Pages 235–244
Tangramoids
Samuel Verbiese
Pages 245–252
The Sundial, Beyond Form and Time ...
Andrzej Zarzycki
Pages 253–256
The Poincaré Surprises
Claude-Paul Bruter
Pages 257–264
Quilt Designs Using Non-Edge-to-Edge Tilings by Squares
Gwen L. Fisher
Pages 265–272
An Extended Mural for a House of Mathematics
Anna Campbell Bliss
Pages 273–282
Hidden Geometry in Music of Bach and Schoenberg: Reflection, Rotation, Proportion
Johnathan Saggau
Pages 283–290
An Introduction to the Tiling Properties of Precious Triangles
Stanley Spencer
Pages 291–298
NEC Polygonal Groups and Tessellations
Domingo Gámez, Miguel Pasadas, Rafael Pérez and Ceferino Ruiz
Pages 299–306
Mathematics & Esthetics - Science and Art in the Bay Area
Benjamin Wells
Pages 307–314
Sculpture form Symmetrically Arranged Planar Components
George W. Hart
Pages 315–322
Easy Digitalization and Representation of Three-Dimensional Maps
Javier Bilbao Landatxe and Jorge Lázaro Domínguez
Pages 323–330
Dynamical Systems: A Golden Gate from Auditory Physiology to Musical Aesthetics?
Julyan H.E. Cartwright, Diego L. González, Oreste Piro and Domenico Stanzial
Pages 331–338
Introducing Simple Arithmetic and Geometric Series in Complex Parametric Modeling
Jane Burry and Mark Burry
Pages 339–346
Abraham as Bridge and Mediator: A Metaphoric Reflection on the Alhambra
Ozayr S. Saloojee
Pages 347–352
Möbius Concepts in Architecture
Jolly Thulaseedas and Robert J. Krawczyk
Pages 353–360
On the Shapes of Water Fountains and Times Tables
Stephen Eberhart
Pages 361–366
Lengthening, Expansion and Torsion: Three Geometric Operations for Aesthetics Creation
A. Delgado Olmos and L. Márquez García
Pages 367–374
Mathematical Bridges to Philosophy and Theology
Douglas Norton
Pages 375–382
Whirled White Web: Art and Math in Snow
Brent Collins, Steve Reinmuth, Dan Schwalbe, Carlo Séquin and Stan Wagon
Pages 383–392
Quilts Inspired by Mathematics
Mary C. Williams
Pages 393–400
Geometric Designs in Architecture and Textiles Revisited and Reconstructed Through Layered Planar Geometry
Benigna Chilla
Pages 401–406
Fractal Geometry Describes the Beauty of Infinity in Nature
María Antonia Castro and María José Pérez-Luque
Pages 407–414
Number Theory and Art
Vera W. de Spinadel
Pages 415–422
Magic Geometry: Mosaics in the Alhambra
Miroslav Lovric
Pages 423–432
Graphs and Circulation in Rural Housing
Mª Francisca Blanco and Miriam Pisonero
Pages 433–440
Diversifying the Curriculum: The Tessellations Case
Reza Sarhangi, Gabriele Meiselwitz and Goran Trajkovski
Pages 441–448
The "Mathematics and Culture" Project
Michele Emmer
Pages 449–458
Islamic Constructions: The Geometry Needed by Craftsmen
Raymond Tennant
Pages 459–464
Developmental Morphology: X, Y & Z Coordination as a Dynamic and Generative Cellular Process
Manuel A. Báez
Pages 465–472
A Study on the North Dome of Masjid-I-Jami Isfahan
Marjan Ghannad
Pages 473–484
Crossing the Equal Sign
Marion D. Cohen
Pages 485–492
Great Kiva Design in Chaco Canyon: An Archaeology of Geometry
Chris Hardaker
Pages 493–502
Petrie Polygons
Paul Gailiunas
Pages 503–510
The Mathematics of Quilting: A Quilter's Tacit Knowledge of Symmetry, Tiling and Group Theory
Katrina Hebb
Pages 511–520
Hyperbolic Spirals and Spiral Patterns
Douglas Dunham
Pages 521–528
Optimal Geometry as Art
John M. Sullivan
Pages 529–532
Folding Polyhedra and Painting Mosaics
Chris K. Palmer
Pages 533–540
A Patterned Life - Abstract
Jennifer Angus
Pages 541–543
Origami: A Good Way to Communicate Mathematics - Abstract
Ann Hanson
Pages 544–544
Goldbach Tilings - Abstract
Sharol Nau
Pages 545–546
Conceptual Art and Algorithms - Abstract
Susan Happersett
Pages 547–548
Symmetry and Trigonometry - Abstract
Steve Whealton
Pages 549–550
Digital Monoprints: Mining Conchoid Nets - Abstract
Stephen Luecking
Pages 551–552
Cayley Tables as Quilt Designs - Abstract
Gwen L. Fisher and Elsa Medina
Pages 553–554
Duality: A Common Thread in Math, Science, Literature and Art? - Abstract
Michael de Villiers
Pages 555–556
An Interdisciplinary Study of an Archetype: Across Cultures and Disciplines - Abstract
Ann Hanson, Paula Frohele, Carol Haliday-McQueen and Renee Hansen
Pages 557–557
Space Blanket - Abstract
Lorella Di Cintio
Pages 558–558
On Mathematics in Art - Abstract
Clifford Singer
Pages 559–560
The Relationship among Proportions, Ottoman-Turkish Music and Architecture - Abstract
Guney Kurdak
Pages 561–561
Polyhedra in "Polyart" Style - Abstract
Ulrich Mikloweit
Pages 562–562
An Evaluation Approach for Circulation in Buildings - Abstract
Mohamed Nada and Khaled M. Nassar
Pages 563–563
Discrete-Event Activity Simulation for Predicting Occupants' Movements in Buildings - Abstract
Khaled M. Nassar and Mohamed Nada
Pages 564–564
Why Do Penrose Tilings Diffract? - Abstract
Robert V. Moody
Pages 565–566
My Use of Number Sequence and Geometry in Art - Abstract
Kathleen Hyndman
Pages 567–568
New Pentatonic Scale Relationships with Visual Parallels - Abstract
Veryan Weston
Pages 569–570
Hexa-Twistor Triangular Section - Abstract
Akio Hizume
Pages 571–572
Some Mathematical Patterns in the Analysis of Selection and Deletion in Modern Short Stories - Abstract
Masoud Norouzian and Shadman Shokravi
Pages 573–574
Golomb Rep-Tiles and Fractals - Abstract
Imameddin Amiraslanov
Pages 575–576
Two Geometric Sculptures with Distant Ontogenies - Abstract
Benjamin Wells
Pages 577–577
The Collapse Series - Abstract
Andrzej Zarzycki
Pages 578–578
Connecting Writing and Contextual Development with Mathematics in Introductory College Math Courses - Abstract
Stan T. Yoshinobu
Pages 579–579
Geometry in Dali's Painting - Abstract
F. Blanco, E. Reyes and C. Santamarina
Pages 580–580
The Mathematical Characterization of 19th Century Enlightenment on Ottoman Architecture - Abstract
Nur Urfalıoglu and Zafer Sagdıc
Pages 581–581
Wisdom in Art: Mathematics in Islamic Architecture in Iran - Abstract
Hourieh Mashayekh
Pages 582–582
Topological Perspective - The Concept - Abstract
Manuel Couceiro
Pages 583–584
Music - Sounding Proportions in Motion - Abstract
Marina Korsakova-Kreyn
Pages 585–586
Labyrinth as Myth, Metaphor and Model - Abstract
Jiyun Park
Pages 587–588