Bridges 2011

Coimbra, Portugal
27–31 July 2011
More information
Front Matter
The Editors
Playing With Surfaces: Spheres, Monkey Pants, and Zippergons
Kelly Delp and Bill Thurston
Pages 1–8
African Basketry: Interweaving Art and Mathematics in Mozambique
Paulus Gerdes
Pages 9–16
The Poetry of Prime Numbers
Sarah Glaz
Pages 17–24
Creating Two and Three Dimensional Fractals from the Nets of the Platonic Solids
Stanley Spencer
Pages 25–32
A New Kind of Three-Dimensional Anamorphosis
Francesco De Comité
Pages 33–38
A Mad Weave Tetrahedron
Paul Gailiunas
Pages 39–44
Abstract Overlays using a Transport Network Model
Gary R. Greenfield
Pages 45–50
The Art of Complex Flow Diagrams
Anne Burns
Pages 51–58
Polyhedral Knots and Links
Slavik Jablan, Ljiljana Radović and Radmila Sazdanović
Pages 59–64
The Geometry of Organic Architecture: The Works of Eduardo Torroja, Felix Candela and Miguel Fisac
Javier Barrallo and Santiago Sánchez-Beitia
Pages 65–72
From Chain-link Fence to Space-Spanning Mathematical Structures
Tom Verhoeff and Koos Verhoeff
Pages 73–80
A Method for Music Symbols Extraction based on Musical Rules
Ana Rebelo, Filipe Paszkiewicz, Carlos Guedes, André R. S. Marçal and Jaime Cardoso
Pages 81–88
Abacaba! – Using a Mathematical Pattern to Connect Art, Music, Poetry and Literature
Mike Naylor
Pages 89–96
Egyptian Architecture, Posadas' Metaphor for Composition
José L. Besada Portas
Pages 97–104
Photographic Fractal Trees
Robert W. Fathauer
Pages 105–112
Sentinels: Sculptures Inspired by the Native Americans' Culture
Jim R. Paulsen and Reza Sarhangi
Pages 113–120
Tori Story
Carlo H. Séquin
Pages 121–130
Virtual Environment Kit for Visual Arts
Jiří Chmelík and Jiří Sochor
Pages 131–138
Three Approaches to Regular Linked Structures
Bjarne Jespersen
Pages 139–146
A Nine- and Twelve-Pointed Star Polygon Design of the Tashkent Scrolls
B. Lynn Bodner
Pages 147–154
Algorithmic Fluid Imagery
Mark J. Stock
Pages 155–162
Spulenkorb: Utilize Weaving Methods in Architectural Design
Qing Xing, Gabriel Esquivel, Ryan Collier, Michael Tomaso and Ergun Akleman
Pages 163–170
Rigge Envelopes as Art Inspiration
John Sharp
Pages 171–178
Resilient Knots and Links As Form-Finding Structures
Dmitri Kozlov
Pages 179–186
Sudoku Art
Tiffany C. Inglis and Craig S. Kaplan
Pages 187–194
Formal Literary Constraints in the Works of Boris Grinberg
Tatiana Bonch-Osmolovskaya
Pages 195–200
Arc Forms: Interactive Exploration of a Discrete Combinatorial Design Space
Christopher Carlson
Pages 201–208
Smooth Self-Similar Curves
Craig S. Kaplan
Pages 209–216
Transformative Modular Textile Design
E.S. Hur and B.G. Thomas
Pages 217–224
Operation Comics: The Story Continues
Bruce Kessler, Janet Tassell and Tressa Tullis
Pages 225–232
A Formal Approach for High-Level Automatic Rhythm Generation
George Sioros and Carlos Guedes
Pages 233–240
Phi Divisions of the Square: a Categorization of Composition Strategies
James Mai
Pages 241–248
Opt Art: Special Cases
Robert Bosch
Pages 249–256
Art in Shadows of the Six-Dimensional Cube
László Vörös
Pages 257–262
Flying Patterns
Jean-Marc Castéra
Pages 263–270
Mathematical Hints for Parameter Selection for AA Patterns
Abdalla G. M. Ahmed
Pages 271–278
Visual Representations of Biblical Poetic Parallelism
Russell Jay Hendel
Pages 279–286
Pitch-Space Lattices: Tonnetze and Other Transpositional Networks
José Oliveira Martins
Pages 287–294
From Lissajous to Pas de Deux to Tattoo: The Graphic Life of a Beautiful Loop
Douglas McKenna
Pages 295–302
Warping Pictures Nicely
David Swart
Pages 303–310
Hyperbolic Truchet Tilings
Douglas Dunham
Pages 311–318
Through and Around Instead of Over and Under: Another Way of Weaving
Rinus Roelofs
Pages 319–328
“Without Emotion, There Is Nothing Left But Burden”: Teaching Mathematics Through Heathcote's Improvisational Drama
Susan Gerofsky
Pages 329–336
Symmetry Orbits: When Artists and Mathematicians Disagree
Darrah Chavey
Pages 337–344
The Dynamics of Grid Square Dances
Rachel Wells Hall, Bob Isaacs, Amy Ksir and Rick Mohr
Pages 345–350
Performing Mathematical Magic
Fernando Blasco
Pages 351–356
Symmetric Stick Puzzles
George Hart
Pages 357–364
Geometry as a Source of Inspiration in Contemporary Art
Marcella Giulia Lorenzi and Mauro Francaviglia
Pages 365–372
The SpHidron Conjecture
Dániel Erdély
Pages 373–378
Kepler's Mysterium Cosmographicum: A Bridge Between Art and Astronomy?
Kenneth Brecher
Pages 379–386
Inside and Outside the Rhombic Hexecontahedron
Sándor Kabai
Pages 387–394
The Roman Villa in Rabaçal and Álvaro Siza
João Pedro Xavier and Eliana Manuel Pinho
Pages 395–402
Good Stamps for Wallpaper Patterns
Manuel Arala Chaves
Pages 403–410
Using Triangle Parts to Create a Paper Quilt
Elaine Krajenke Ellison
Pages 411–414
Geometric Structures and Forms as Visual Art Compositions
Daniela Velichová
Pages 415–418
A Virtual Installation of Sierpinski Triangle
Mehrdad Garousi and Hamed Akbari
Pages 419–422
A Method for Expandable Regular Tessellation
Aylin Gazi and Koray Korkmaz
Pages 423–426
Creative Circle Design
Susan McBurney
Pages 427–430
At What Level Do Mathematical References Act In Contemporary Architecture?
M. Paula Serra De Oliveira and Francesco Marconi
Pages 431–434
20 Seconds Into the Future: Narrative Space for Maths Motivations
Tim Boykett, Tina Auer and Andreas Mayrhofer
Pages 435–438
Mathematical Furniture
Peter Meijer
Pages 439–442
The Idea of Time, Motion and Dynamism in Art
Daniela Rinaudo, Marcella Giulia Lorenzi and Mauro Francaviglia
Pages 443–446
Soccer Balls
Dirk Huylebrouck
Pages 447–450
Introduction to Ideal Quilts
Andrzej K. Brodzik
Pages 451–454
Painting in Geometric Key
Liviu Stoicoviciu, Gheorghe Samoilă, Marcella Giulia Lorenzi and Mauro Francaviglia
Pages 455–458
Futurism, Geometry of “Photodynamism” and Digital Photography
Marcella Giulia Lorenzi, Mauro Francaviglia and Rick Doble
Pages 459–462
Geometric Forms that Persist in Art and Architecture
Elisa Conversano, Mauro Francaviglia, Marcella Giulia Lorenzi and Laura Tedeschini Lalli
Pages 463–466
Fractal Aesthetics in Geometrical Art Forms
Vincenzo Iorfida, Marcella Giulia Lorenzi and Mauro Francaviglia
Pages 467–470
Malbec, Ornament and Rustication
Gabriel Esquivel
Pages 471–474
Story Telling with a Mathematical Flavor
Andreia Hall
Pages 475–478
Bending Hyperbolic Kaleidoscopes
Vladimir Bulatov
Pages 479–482
The Conformal Vega Disk
Joel Langer
Pages 483–484
System of Visual Organization in Graphic Design
Nahid Tootoonchi
Pages 485–488
The Eyes Have It: Focal Point Choices and Compositional Geometry in Painting
Chris Bartlett
Pages 489–492
Image Generation from Magic Squares
Fang You, Ming Yao and Jianmin Wang
Pages 493–496
Taking Sides, but Who's Counting? The Decagonal Tomb Tower at Maragha
Carol Bier
Pages 497–500
The Art of Manual Stone Carving as a Leap to Its Virtual Future
Jacques Beck
Pages 501–504
A Portrait of a Quadrilateral Group
Jay Zimmerman
Pages 505–508
How Can Mathematics Help in Identifying a Music Style
Mária Kuková
Pages 509–510
Just Twist, About Minimal Origami Models Based on Polyhedra Structure
Krystyna Burczyk and Wojciech Burczyk
Pages 511–514
Pavimenta: A Photo Tiling Tool
António Salgueiro
Pages 515–518
Symmetry, Marks and Meaning: Observations from Brand Identity Design
J.L. Marsden and B.G. Thomas
Pages 519–522
Designing Sculptures Inspired by Symmetric High-Genus Fullerenes with Mathematical Beading
Chern Chuang, Bih-Yaw Jin and Chia-Chin Tsoo
Pages 523–526
Conjecture and Proof: A Case of Shifting Identities in Raphael's School of Athens
Katherine Smith Abbott and Stephen Abbott
Pages 527–530
Amazing Labyrinths, Further Developments II
Samuel Verbiese
Pages 531–534
Mandelbrot Sound Map – A Tool for Mapping Fractals into Sounds
Boris Kerkez
Pages 535–538
Unusual Tilings and Transformations
Jouko Koskinen
Pages 539–542
A Representation for Whole Numbers and Their Factors
Ana Lúcia Braz Dias
Pages 543–546
Using the Golden Ratio in Multimedia Installations – Seeking for Beauty
Ana Isabel Portugal and Pedro Campos
Pages 547–550
A Brief Review of Frank O. Gehry and the Nationale-Nederlande Building
Ferhan Kızıltepe
Pages 551–554
Genetic Weapons
Filipe Afonso
Pages 555–558
The Sacred Cut
Jay Kappraff
Pages 559–562
A Group Theory Approach to (re)Constructing Sol LeWitt's Drawing Series IV, #413
Charlene Morrow and James Morrow
Pages 563–566
Transition of Matière feature of Claude Monet's Paintings Analyzed by Wavelet Transform and Co-occurrence matrix
Toshihiro Bando, Kenichiro Nishida and Yasunari Sasaki
Pages 567–570
Image Processing with Mathematica 8
Bruce Torrence
Pages 571–572
Adventure of a Simple Circle (in the Jungle of My Mind)
Evangelina Sousa
Pages 573–576
Bridging Theater and Mathematics: a Playwright's View
David M. White
Pages 577–578
Bridging Theater and Mathematics: a Mathematician's View
Alexei Kolesnikov
Pages 579–580
Decorating Regular Tiles with Arcs
David A. Reimann
Pages 581–584
Animation of Object-Oriented Program Execution
Peter Boothe and Sandro Badame
Pages 585–588
Cubic Fuzzy Precision: Tau-scaled Fractals from Plain-Vanilla Pentagrids
James F. Hausman and Fabien Vienne
Pages 589–592
Conformal Tiling on a Torus
John M. Sullivan
Pages 593–596
How Not to Bring Your Product to Market
Michael Stranahan, Carlos Neumann and Paul Hildebrandt
Pages 597–600
Design Thinking LAB: Math Goes Fashion
Konrad Cernohous, Dominik Gross, Petra Ilias, Walter Lunzer, Ruth Mateus-Berr, Jasmin Schaitl and Peter Michael Schultes
Pages 601–604
Sundials from Toroid Surfaces
Stephen Luecking
Pages 605–608
SPHERES + CUBES = x^n+y^n+z^n = 0
William F. Duffy
Pages 609–612
Graphic illustration of Elementary Particles
György Darvas and Tamás F. Farkas
Pages 613–616
Mary Wahr
Pages 617–620
Using Mathematics to Make Poetry
JoAnne Growney
Pages 621–624
Pieces of Pi? Polyhedra, Orthoschemes and Dihedral Kaleidoscopes
Curtis Palmer
Pages 625–628
Build Something Beautiful and Interesting with Giant Triangles: An Entry to Deep Mathematics.
Simon Morgan and Jacqueline Sack
Pages 629–630
Calculating and Singing the Melody Sequences in Fauré's Song “Les Matelots”
Miriam Fradera Gajo
Pages 631–632
The Vasarely Playhouse: Look and Combine!
Slavik Jablan and Kristóf Fenyvesi
Pages 633–636
Alabaster Sculpture Workshops
Nicholas Durnan
Pages 637–638
Exploring the Arts with Mathematica
Christopher Carlson
Pages 639–640
An Exploration of Froebel's Gift Number 14 Leads to Monolinear, Re-entrant, Dichromic Mono-Polyomino Weavings
Eva Knoll and Wendy Landry
Pages 641–648
Human Geometry Workshop
Mike Naylor and Vi Hart
Pages 649–656
Workshop Design Thinking Lab: Math Goes Fashion
Konrad Cernohous, Dominik Gross, Petra Ilias, Walter Lunzer, Ruth Mateus-Berr, Jasmin Schaitl and Peter Michael Schultes
Pages 657–658
Mathematical Modeling of Cartoon Images and Other Objects
M.G. Marques and M. Pires
Pages 659–664
A Workshop on Stellation Inspired Sculpture
Eve Torrence
Pages 665–670
Folding Your Way to Understanding
Nick Fout and Jenn Marker
Pages 671–678
Triangle Tessellation Workshop
Aaltje Berendina Aaten and Tom Goris
Pages 679–680
The Geometry of Paradise Flowers
Sarah Abdellahi and Tom Goris
Pages 681–684
The Magical Power of Our Eye: A Student Centered Approach to Building Bridges between Mathematics and Art
Gail Kaplan and Chris Bartlett
Pages 685–692
The Partial Implantation, At 1:2 Scale, of Rabaçal's Roman Villa
João Pedro Xavier and Eliana Manuel Pinho
Pages 693–694
Proposal for a Workshop on Symmetry of Plane Patterns
Manuel Arala Chaves
Pages 695–696