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Bridges 2010

Pécs, Hungary
24–28 July 2010
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Front Matter
The Editors
The System Approach and Design
Ernő Rubik
Pages 1–1
Visual and Logical Beauty in Mathematics
László Lovász
Pages 2–2
Quantum Sculpture: Art Inspired by the Deeper Nature of Reality
Julian Voss-Andreae
Pages 3–10
Models of Surfaces and Abstract Art in the Early 20th Century
Angela Vierling-Claassen
Pages 11–18
Expressions, Assemblages and Grammars
Penousal Machado
Pages 19–26
Branching Miter Joints: Principles and Artwork
Tom Verhoeff and Koos Verhoeff
Pages 27–34
Poetry Inspired by Mathematics
Sarah Glaz
Pages 35–42
Types of Repetition and Multistable Perception in the Frieze Patterns on the Marble Pavement of the Cathedral of Siena
Yang Liu and Godfried Toussaint
Pages 43–50
Mirrors and Spheres: The Geometry within the “Tall Tree and the Eye”
Chiara Tuffanelli
Pages 51–58
Compositional Constraints of Simultaneous Color Contrast: Toward a Classification of Types
James Mai
Pages 59–66
Tiled Torus Quilt with Changing Tiles
Elaine Krajenke Ellison and John Sharp
Pages 67–74
About Weaving and Helical Holes
Rinus Roelofs
Pages 75–84
My Search for Symmetrical Embeddings of Regular Maps
Carlo H. Séquin
Pages 85–94
Curve Evolution Schemes for Parquet Deformations
Craig S. Kaplan
Pages 95–102
Some Three-dimensional Self-similar Knots
Robert W. Fathauer
Pages 103–110
Strip Symmetry Groups of African Sona Designs
Darrah Chavey
Pages 111–118
Interactive Exploration of Corporate Logos: From Mercedes Benz to Sea Creatures
Christopher Carlson
Pages 119–126
Vasarely's Work—Invitation to Mathematical and Combinatorial Visual Games
Ljiljana Radovic and Slavik Jablan
Pages 127–134
Bourgoin's 14-Pointed Star Polygon Designs
B. Lynn Bodner
Pages 135–142
On Generating Dot Paintings in the Style of Howard Arkley
Gary R. Greenfield
Pages 143–150
Geometric Tools for the Magic Woodcarver
Bjarne Jespersen
Pages 151–158
Imaginary Cubes—Objects with Three Square Projection Images
Hideki Tsuiki
Pages 159–166
Design by Subdivision
Michael Hansmeyer
Pages 167–174
Artformer Geometry
Antal Kelle
Pages 175–182
Creating and Modifying Images Using Newton's Method for Solving Equations
Stanley Spencer
Pages 183–190
Using Mathematics in Art
Michael Field
Pages 191–198
Regular Polyhedral Lattices of Genus 2: 11 Platonic Equivalents?
Dirk Huylebrouck
Pages 199–206
Early Modern Art Layouts in Breuer's Design
Devrim Işikkaya
Pages 207–214
From the Angle of Quasicrystals
Jean-Marc Castéra
Pages 215–222
Gauss, Bolyai, Lobachevsky—in General Education? (Hyperbolic Geometry as Part of the Mathematics Curriculum)
István Lénárt
Pages 223–230
A General Procedure for the Construction of Mirror Anamorphoses
Francesco De Comité
Pages 231–238
Art with a Double Meaning
István Orosz
Pages 239–246
Expanding the Mandelbrot Set into Higher Dimensions
Javier Barrallo
Pages 247–254
Swhirling Squares: A Simple Math Flip-Book Animation
Douglas McKenna
Pages 255–262
Brunnian Weavings
Douglas G. Burkholder
Pages 263–270
Eureka and Serendipity: The Rudolf von Laban Icosahedron and Buckminster Fuller's Jitterbug
Caspar Schwabe
Pages 271–278
Projection of Point Sets to a Lower Dimension with Applications in the Arts
György Darvas
Pages 279–286
The Vitruvian Figure of Eight
Joel C. Langer
Pages 287–292
A Fractal Celtic Key Pattern?
Paul Gailiunas
Pages 293–298
Biblical Cantillations
Russell Jay Hendel
Pages 299–304
Some Possibilities of Russian Combinatorial Literature
Tatiana Bonch-Osmolovskaya
Pages 305–310
Amateur and Pioneer: Simon Stevin (ca. 1548–1620) about Music Theory
János Malina
Pages 311–316
30 Cubes on a Rhombic Triacontahedron
Sándor Kabai
Pages 317–322
On Growth, Form and Yin-Yang
Michael Longuet-Higgins
Pages 323–328
Everything is Number—Mathematics Meets Arts
Carsten Miller
Pages 329–334
Viruses and Crystals: Science Meets Design
B.G. Thomas
Pages 335–340
Geometrical Representations of North Indian Thāts and Rāgs
Chirashree Bhattacharya and Rachel Wells Hall
Pages 341–346
Hyperbolic Vasarely Patterns
Douglas Dunham
Pages 347–352
Specialties of Models of the 6-dimensional Cube
László Vörös
Pages 353–358
Aesthetic and Mathematical Research: A Comparism with two Examples
Tim Boykett
Pages 359–362
Alhambra's Nazari Single Tile Patterns Guided Tour
Jesús Hernando
Pages 363–366
An Origami Puzzle of Intersecting Cubes
Zsolt Lengvarszky
Pages 367–370
Beautiful Homework: The Artists' Critique Group in the Mathematics Classroom
Daylene Zielinski
Pages 371–374
Parabolic Connections: Linking History, Art, Acoustics, and Mathematics
Gail Kaplan
Pages 375–378
Mathematical Interpretation of Graphic and Poster Design in Iran
Nahid Tootoonchi
Pages 379–382
On Torsion Free Subgroups of $p32$ and Related Colored Tilings
Ma. Louise Antonette N. De Las Peñas, Eden Delight B. Provido and René P. Felix
Pages 383–386
Cyclic Symmetric Multi-Scale Turing Patterns
Jonathan McCabe
Pages 387–390
Constructing Molecules with Beads: The Geometry of Topologically Nontrivial Fullerenes
Bih-Yaw Jin, Chern Chuang and Chia-Chin Tsoo
Pages 391–394
Minimal Flowers
John M. Sullivan
Pages 395–398
Ivory Polyhedra Turned on a Lathe
Tibor Tarnai
Pages 399–402
Ribbon Edges: a New Impulse for Geometric Sculpture
Charles Gunn
Pages 403–406
Moiré II
Koert Feenstra
Pages 407–410
Constructing Sierpinski Triangle with Rings
Mehrdad Garousi and Hamid Reza Dezfoolian
Pages 411–414
Mathematical Models for Argentine Tango
Carla Farsi
Pages 415–418
Toward a Tesseract Theater
Nicholas Abruzzo
Pages 419–422
Exploring Symmetry in Elementary Schools
Andreia Hall, Rosa Amélia Martins and Carlota Simões
Pages 423–426
Patterns from Archimedean Tilings Using Generalized Truchet Tiles Decorated with Simple Bézier Curves
David A. Reimann
Pages 427–430
Playing with the Möbius Band
Eleonóra Stettner
Pages 431–434
Creating Cartoon Images with Functions: A Pedagogical Project
M. G. Marques and M. Pires
Pages 435–438
Review of a Cinema Film from the Perspective of Symmetry: “The Pillow Book”
Ferhan Kızıltepe
Pages 439–442
Sphaerica: Interactive Spherical Geometry Software
János Erdős
Pages 443–446
Multisculpture or Polymorphic Sculpture: A Different Approach to Sculpture to Challenge and Nurture Reflection: Both in the Sculptor and in the Viewer
Jacques Beck
Pages 447–450
Borromean Rings & Three Fold Knots
Louise Mabbs
Pages 451–454
Cylinder Anamorphosis of Impossible Structures
Jan W. Marcus
Pages 455–458
Ad Quadratum Ad Infinitum
Eliana Manuel Pinho
Pages 459–462
The K5 Graph Turned into a Golden Pyramid
Samuel Verbiese
Pages 463–466
Chaos, Noise, Randomness and Coincidence as Constitutional for Generative Art
Mike Kostner, Franz Schubert and Carola-Bibiane Schönlieb
Pages 467–470
Seeing with the Mind: from the Matrix into the Cloud
Pedro Campos and Ana Isabel Portugal
Pages 471–474
Mandel-Bach Journey: A Marriage of Musical and Visual Fractals
Harlan J. Brothers
Pages 475–478
Models of Locally Regular Heptagonal Dodecahedra
David I. McCooey
Pages 479–482
The Sunflower Spiral and the Fibonacci Metric
Henry Segerman
Pages 483–486
Classification and Comparison of Different Folk Music Traditions Using Self Learning Algorithms
Zoltán Juhász
Pages 487–490
Matière of Painting Analyzed by Wavelet Transform
Toshihiro Bando, Masamichi Kobayashi, Yuri Sakurai
Pages 491–492
Oscillatory Solutions for Sine-Gordon Equation
Ion Bica
Pages 493–494
Tile Color Matching Using Simple Universal Cycles
Anna Virágvölgyi
Pages 495–496
Intertransformability
John A. Hiigli
Pages 497–498
Perspective with Six Vanishing Points
Daniel Lőrincz, Brigitta Szilágyi and Ágnes Urbin
Pages 499–500
Use of Pseudo Functions in Digital Creation
Philippe Bootz
Pages 501–502
The Visualization of Flow
Joel Varland
Pages 503–504
The Qualitative and Quantitative World of Robert Wilson's Theater
Julie Rogers Varland
Pages 505–506
Revisiting Mat Board Models for A Physical Proof of Five and Only Five Regular Solids or Polyhedron
Robert McDermott
Pages 507–508
Anamorphic, Kaleidoscopic and Sculptural Mirror Reflections
Kenneth Brecher
Pages 509–510
Locally and Globally Regular Toroids with Less than 16 Hexagonal Faces
Lajos Szilassi
Pages 511–512
Impossible Ornaments
F. Farkas Tamás
Pages 513–514
Mathematical Balloon Twisting for Education
Vi Hart
Pages 515–522
Creative Learning with Giant Triangles
Simon Morgan, Jacqueline Sack and Eva Knoll
Pages 523–530
A Workshop in Geometric Constructions of Mosaic Designs
Reza Sarhangi
Pages 531–538
Escher-type Tessellations and Pull-up Polyhedra: Creative Learning for the Classroom
E.B. Meenan and B.G. Thomas
Pages 539–544
POLY-UNIVERSE—Knowledge Produce Toy Family
János Szász Saxon
Pages 545–550
Workshop on Mathematics and Dance
Karl Schaffer and Erik Stern
Pages 551–554
Programming for Artists with Processing
Zsófia Ruttkay
Pages 555–558
Using Roller Coasters to Bridge Mathematics, Science and the Arts
Janka Szilágyi and Jill Zarazinski
Pages 559–560