cover

Bridges 2007

San Sebasti´n, Spain
24–27 July 2007
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Front Matter
The Editors
Modular Kirigami
George W. Hart
Pages 1–8
Some Monohedral Tilings Derived From Regular Polygons
Paul Gailiunas
Pages 9–14
Composite Diffusion Limited Aggregation Paintings
Gary R. Greenfield
Pages 15–20
Symmetry and Structure in Twist-Hinged Dissections of Polygonal Rings and Polygonal Anti-Rings
Greg N. Frederickson
Pages 21–28
Imaginary Gardens - A Model for Imitating Plant Growth
Anne M. Burns
Pages 29–36
Allahverdi Khan Bridge (Si-O-Seh Pol) of Esfahan, An Example of Art and Mathematics
Hourieh Mashayekh and Hayedeh Mashayekh
Pages 37–38
Light, Movement and 3D - Light images Viewed as Photographs
Jack Tait
Pages 39–46
Spiral Developable Sculptures of Ilhan Koman
Tevfik Akgün, Irfan Kaya, Ahmet Koman and Ergun Akleman
Pages 47–52
"Gödel, Escher, Bach", in other Eras
Dirk Huylebrouck
Pages 53–58
Mathematics and Symmetry: A Bridge to Understanding
Gail Kaplan
Pages 59–66
A Proposal for the Classification of Mathematical Sculpture
Ricardo Zalaya Báez
Pages 67–74
The Spirograph and Beyond
Susan McBurney
Pages 75–80
Entwined Circular Rings
Rinus Roelofs
Pages 81–90
2D and 3D Animation Using Rotations of a Jordan Curve
Peter Hamburger, Edit Hepp and Richard Wartell
Pages 91–98
Mathematical Models for Binarization and Ternarization of Musical Rhythm
Francisco Gómez, Imad Khoury, Jörg Kienzle, Erin McLeish, Andrew Melvin, Rolando Pérez-Fernández, David Rappaport and Godfried Toussaint
Pages 99–108
Portraits of Groups II, Orientation Reversing Actions
Jay Zimmerman
Pages 109–114
Baskets for the Mathematics Classroom
S. Louise Gould
Pages 115–122
The Pentagram: From the Goddess to Symplectic Geometry
Elisa Prato
Pages 123–126
The Modular Color Palette: Systems of Color Selection in the Paintings of James Mai
James L. Mai
Pages 127–134
A "Sound" Approach to Fourier Transforms: Using Music to Teach Trigonometry
Bruce Kessler
Pages 135–142
Magritte: Analogies in Mathematical Reasoning
Rozhkovskaya Natasha
Pages 143–146
Zany Projects - The Art of Mixing Compass with Computer
Rebecca Kessler
Pages 147–148
Breaking Color Symmetry
Carla Farsi
Pages 149–150
Addled Tangles of Sanguine Language - an Eclectic Syncretic Syntactic Taxonomy
Benjamin Wells
Pages 151–160
Structure and Form in the Design Curriculum
M.A. Hann and B.G. Thomas
Pages 161–168
Electrostatic Patterns in the Interior of a Circular Region
N.G. Nicolis
Pages 169–176
Ricochet Compositions
I.A. de Kok, T. Lucassen and Zs. Ruttkay
Pages 177–180
Golden Fractal Trees
T. D. Taylor
Pages 181–188
Anticlastic Form - Manifesting Fields of Tension
Benjamin Storch
Pages 189–194
Patterned Polyhedra: Tiling the Platonic Solids
B.G. Thomas and M.A. Hann
Pages 195–202
Frieze Patterns of the Alhambra
B. Lynn Bodner
Pages 203–208
Modeling D-Forms
Özgür Gönen, Ergun Akleman and Vinod Srinivasan
Pages 209–216
A Simple Procedure to Generate Curves and Surfaces
Alan Sutcliffe
Pages 217–224
The 7 Curve, Carpets, Quilts, and Other Asymmetric, Square-Filling, Threaded Tile Designs
Douglas McKenna
Pages 225–232
Geometric Constructions and their Arts in Historical Perspective
Reza Sarhangi
Pages 233–240
The Ideal Vacuum: Visual Metaphors for Algebraic Concepts
Jessica K. Sklar
Pages 241–246
Inout Sculptures
Yutu Liu, Hernan Molina and Ergun Akleman
Pages 247–252
Painting by the Numbers: A Porter Postscript
Chris Bartlett
Pages 253–258
Poverty and Polyphony: A Connection between Economics and Music
Rachel W. Hall and Dmitri Tymoczko
Pages 259–268
From Modeling Foliage with L-systems to Digital Art
Glyn M. Rimmington and Mara Alagic
Pages 269–276
Does it Look Square? Hexagonal Bipyramids, Triangular Antiprismoids, and their Fractals
Hideki Tsuiki
Pages 277–286
Shape, Time and Chemistry: Some Platonic Meditations
Farzad Mahootian
Pages 287–288
Shiva: Two Views of Burnside's Lemma at Work
James Mai and Daylene Zielinski
Pages 289–296
Modeling High Genus Sculptures Using Multi-Connected Handles and Holes
Vinod Srinivasan, Hernan Molina and Ergun Akleman
Pages 297–302
Revisiting the Geometry of the Sala de Dos Hermanas
Ann Robertson
Pages 303–310
Ancient Harmonic Law
Jay Kappraff
Pages 311–312
The Effect of Human Experience on Formal Word Meaning
Russell Jay Hendel
Pages 313–314
Transgenic Visual-and-Sound Compositions
Artemis Moroni, Rafael Bocaletto Maiolla and Jônatas Manzolli
Pages 315–322
Geometry and New Urban Order
Cristina Argumedo, Mª Francisca Blanco, Dora Giordano and Miriam Pisonero
Pages 323–330
The Power and Potential of Art in Literature to Teach Mathematics
William P. Bintz and Sara Delano Moore
Pages 331–332
Planar Symmetry with Turtles
James Dean Palmer
Pages 333–334
Fractal Knots Created by Iterative Substitution
Robert W. Fathauer
Pages 335–342
Sculptures which Stellarize Non-Planar Hexagons
Douglas G. Burkholder
Pages 343–350
Edge-Constrained Tile Mosaics
Robert Bosch
Pages 351–360
Hyperbolic Semi-Regular Tilings and their Symmetry Properties
Ma. Louise Antonette N. De Las Peñas, Glenn R. Laigo and Eden Delight B. Provido
Pages 361–368
Fractal Art: Closer to Heaven? Modern Mathematics, the art of Nature, and the nature of Art
Charalampos Saitis
Pages 369–376
Images of the Ammann-Beenker Tiling
Edmund Harriss
Pages 377–378
Symmetric Embedding of Locally Regular Hyperbolic Tilings
Carlo H. Séquin
Pages 379–388
When is a picture not a picture? What is really in a Random Tandem?
Simon Bexfield
Pages 389–394
A "Circle Limit III" Calculation
Douglas Dunham
Pages 395–402
Designing a Modern Tower in a Mathematically-Based World
Zafer Sagdic and Barbaros Sagdic
Pages 403–404
Amazing Labyrinths
Samuel Verbiese
Pages 405–412
The Automorphism of Amalgamation Polytopes and Tessellation
Lin Hsin Hsin
Pages 413–414
Geometrical Transformation: A Method for the Creation of Form in Contemporary Architecture
Ülkü İnceköse
Pages 415–422
Understanding Math via Arts, Creating Arts via Math
Mara Alagic and Paul Gailiunas
Pages 423–424
Imaginative Quilted Geometric Assemblages
Elaine Krajenke Ellison
Pages 425–426
The Geometry of Asian Trousers
Penelope Woolfitt
Pages 427–430
Math/Art Projects
Ann Hanson
Pages 431–432
Building Models to Transition from Dimension to Dimension
Robert McDermott
Pages 433–440
Exploring Cubes Woven on the Skew
Felicity Wood
Pages 441–444
Using Art to Teach Maths, Using Maths to Create Art
Julie Dobson and Jenny Gage
Pages 445–452
From Folding and Cutting to Geometry and Algorithms: Integrating Islamic Art into the Mathematics Curriculum
Carol Bier
Pages 453–458
Zome Workshop
Paul Hildebrandt
Pages 459–464