cover

Bridges 2013

Enschede, the Netherlands
27–31 July 2013
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Front Matter
The Editors
An Arts Project Uncovering an Important Scientific Advance
Harold Kroto
Pages 1–8
Math for Visualization, Visualizing Math
Jarke J. van Wijk
Pages 9–12
Patterns for Skew Mad Weave Polyhedra
Paul Gailiunas
Pages 13–18
The Beauty of Equations
Robert Crease
Pages 19–26
Mathematical Ideas in Ancient Indian Poetry
Sarah Glaz
Pages 27–34
Mathematics Education and Early Abstract Art
Stephen Luecking
Pages 35–42
Ant Paintings Based on the Seed Foraging Behavior of P. barbatus
Gary Greenfield
Pages 43–48
Poetry & Algorithms
Michael Bartholomew-Biggs
Pages 49–54
A Comparative Geometric Analysis of the Patterns Found on the Pavement Mosaics of the Chedworth Roman Villa
Stephanie Toussaint
Pages 55–62
Tatami Maker: A Combinatorially Rich Mechanical Game Board
Alejandro Erickson
Pages 63–70
Folded Strips of Rhombuses and a Plea for the √2:1 Rhombus
Tom Verhoeff and Koos Verhoeff
Pages 71–78
Multidimensional Impossible Polycubes
Koji Miyazaki
Pages 79–86
Fractal Islamic Geometric Patterns Based on Arrangements of {n/2} Stars
Phil Webster
Pages 87–94
Removing Tremas with a Rational Function
Anne Burns
Pages 95–102
Antisymmetrical Palindromes in Traditional European and Contemporary Russian Poetry
Tatiana Bonch-Osmolovskaya
Pages 103–110
Understanding and measuring rhythmic quality in dance. What is a movement accent?
Xavier Mora and Marta Pellicer
Pages 111–118
From Path-Segment Tiles to Loops and Labyrinths
Robert Bosch, Sarah Fries, Mäneka Puligandla and Karen Ressler
Pages 119–126
Approaching an Approximation of Freeform Surfaces by Developable Strips using Apparent Contours
Francisco González-Quintial, Antonio Sánchez-Parandiet and Javier Barrallo
Pages 127–134
Artfully Folding Hexagons, Dodecagons, and Dodecagrams
Greg Frederickson
Pages 135–142
The Art of Geometry
Daniela Velichová
Pages 143–150
Tiling and Tazhib of Some Special Star Polygons: A Mathematics and Art Case Study
Reza Sarhangi
Pages 151–158
Animating Line-based Op Art
Tiffany C. Inglis and Craig S. Kaplan
Pages 159–166
Bending Circle Limits
Vladimir Bulatov
Pages 167–174
Iterative Arrangements of Polyhedra—Relationships to Classical Fractals and Haüy Constructions
Robert W. Fathauer
Pages 175–182
Polyhedra with Folded Regular Heptagons
Marcel Tünnissen
Pages 183–190
Math Runes
Mike Naylor
Pages 191–198
Geometric Analysis of Forumad Mosques' Ornament
Mahsa Kharazmi and Reza Sarhangi
Pages 199–206
Cross-Caps—Boy Caps—Boy Cups
Carlo H. Séquin
Pages 207–216
The Mercator Redemption
Sébastien Pérez-Duarte and David Swart
Pages 217–224
The Planar Crystallographic Groups Represented at the Alhambra
B. Lynn Bodner
Pages 225–232
Territories of Color: Towards a New Model of Simultaneous Color Contrast
James Mai
Pages 233–240
Turtles for Tessellations
Loe M.G. Feijs and Jun Hu
Pages 241–248
Knot Designs Based on the Hexagonal Rosette
Taneli Luotoniemi
Pages 249–254
Turtle Temari
Michael Eisenberg, Antranig Basman, Sherry Hsi and Hilarie Nickerson
Pages 255–262
AA Weaving
Abdalla G.M. Ahmed
Pages 263–270
SURFER in Math Art, Education and Science Communication
Anna Hartkopf and Andreas Daniel Matt
Pages 271–278
The 6-ring
Faniry Razafindrazaka and Konrad Polthier
Pages 279–286
Geometry Experiments with Richard Serra's Sculpture
Javier Barrallo, Santiago Sánchez-Beitia and Francisco González-Quintial
Pages 287–294
Unfolding Symmetric Fractal Trees
Bernat Espigulé Pons
Pages 295–302
Geometric Visual Instruments Based on Object Rolling
Akihiro Matsuura, Jyunki Hashimoto and Kento Okuno
Pages 303–310
Custom 3D-Printed Rollers for Frieze Pattern Cookies
Robert Hanson and George Hart
Pages 311–316
Grid-based decorative corners
Craig S. Kaplan
Pages 317–324
John Cage Adores a Vacuum
Donald Spector
Pages 325–330
Escher Patterns on Triply Periodic Polyhedra
Douglas Dunham
Pages 331–336
Learning Mathematics Through Dance
Susan Gerofsky
Pages 337–344
Wallpaper Designs of Mirror Curves Inspired by African Sona
Darrah Chavey
Pages 345–352
Triple Gear
Saul Schleimer and Henry Segerman
Pages 353–360
Following the Footsteps of Daedalus: Labyrinth Studies Meets Visual Mathematics
Kristóf Fenyvesi, Slavik Jablan and Ljiljana Radović
Pages 361–368
The Discovery of a New Series of Uniform Polyhedra
Rinus Roelofs
Pages 369–376
The Moore-Penrose Inverse in Art
Dirk Huylebrouck
Pages 377–382
Girl's Surface
Sue Goodman, Alex Mellnik and Carlo H. Séquin
Pages 383–388
How to make an IMAGINARY exhibition
Sebastian Uribe, Susanne Schimpf and Andreas Daniel Matt
Pages 389–396
Kolmogorov's Question
Elaine Krajenke Ellison
Pages 397–398
Circle Packing Explorations
Francesco De Comité
Pages 399–402
Spirolateral-Type Images from Integer Sequences
Kerry Mitchell
Pages 403–406
3D SUDOKU Puzzle with 81 Connected Cubes
Hans Kuiper and Walt Van Ballegooijen
Pages 407–410
Papercraft Panoramas
David Swart
Pages 411–414
Braids: A Mathematics Documentary
Ester Dalvit
Pages 415–418
Form-Finding Experiments with Resilient Cyclic Knots
Dmitri Kozlov
Pages 419–422
Exquisite Failure: The Telescope as Lived Object
Elizabeth McTernan and Luke Wolcott
Pages 423–424
Rendering the Whole World with Conformal Curvilinear Perspective
Charles Gunn
Pages 425–428
Constructing and Applying the Fractal Pied de Poule (Houndstooth)
Loe M.G. Feijs and Marina Toeters
Pages 429–432
Exploring the Vertices of a Triacontahedron
Robert Weadon Rollings
Pages 433–434
Count and Dance: Sardana
Miriam Fradera Gajo
Pages 435–436
A Digital Tribute to M.C. Escher
Amir Gholami and Mehrdad Garousi
Pages 437–438
Imperfect Congruence: Tiling with Regular Polygons and Rhombs
Kevin Jardine
Pages 439–442
The Equations of Westminster Abbey
Manuel Díaz Regueiro
Pages 443–444
How to 3D-print Complex Networks and Graphs
Raymond Aschheim
Pages 445–448
Finding Optimal Paths in Beadworks: What If Euler Were a Beader?
Ron Asherov
Pages 449–452
Seifert Surfaces with Minimal Genus
Mereke van Garderen and Jarke J. van Wijk
Pages 453–456
MArTH Madness: Building a Culture of Mathematical Art at Saint Ann's School
Anna Weltman, Paul Salomon and Justin Lanier
Pages 457–460
Symmetry in Mathematics, Physics and Art
Jean Constant
Pages 461–464
Up Suprematism to the “supreMADIsm” on Saxon's Paintings
János Szász Saxon
Pages 465–468
Mathematics, Art and Science of the Pseudosphere
Kenneth Brecher
Pages 469–472
Kandinsky, Math Artist?
Karl Kattchee
Pages 473–476
Three-Dimensional Generalizations of the Triskele
Jacques Beck, Françoise Beck-Pieterhons and Samuel Verbiese
Pages 477–478
Color patterns in Bull by Vasarely
Zsófia Ruttkay, Tamás Páll, Jelena Viskovic and Litza Juhász
Pages 479–482
Iterating Borromean Rings on a Sphere
Douglas G. Burkholder
Pages 483–486
Mathematical Beading as Molecular Analog Computation: An Example from Beaded Sierpiński Buckyball
Chia-Chin Tsoo, Chern Chuang and Bih-Yaw Jin
Pages 487–490
Retrograde Rotation Illusions in Turntable Animations of Concentric Icosahedral Domains
Curtis Palmer
Pages 491–494
Construction of Sierpiński Superfullerenes with the Aid of Zome Geometry: Application to Beaded Molecules
Chern Chuang and Bih-Yaw Jin
Pages 495–498
The 3D Effect of Bull by Vasarely
Zsófia Ruttkay and Litza Juhász
Pages 499–502
Teaching Mathematics Through Image Manipulation
Patrick Honner
Pages 503–506
One Mucuboctahedron: Four Ways to View It
S. Louise Gould and Franklin Gould
Pages 507–510
Math into Metaphor
Alice Major
Pages 511–514
Making Waves: Visualizing Fluid Flows
Wout Zweers, Valerie Zwart and Onno Bokhove
Pages 515–518
Creating Art as a Catalyst for Making Meaningful, Personal Connections to Mathematics
J. Brooke Ernest and Ricardo Nemirovsky
Pages 519–522
Google Earth: Mathematical Art Forms
Mara Alagic and Glyn Rimmington
Pages 523–526
Edge Color Patterns in the Bead Truncated Icosahedron
Laura Shea
Pages 527–530
Point Symmetric Ribbon Patterns using a Hexagonal Motif from M.C. Escher
David Reimann
Pages 531–534
Minimalism, Math, and Biology
Bojana Ginn
Pages 535–538
How Do Symmetries Come To Children, and Vice Versa?
Barbora Kamrlova
Pages 539–542
Dances of Heavenly Bodies: Dance, N-body Choreographies, and Change Ringing
Karl Schaffer
Pages 543–546
Adding it all Up: Building the National Museum of Mathematics
Cindy Lawrence
Pages 547–550
Visualizing 3-Dimensional Manifolds
Dugan J. Hammock
Pages 551–552
Adventures on the Borderland of Mathematics and Arts: the Kaposvár University's “CrossBorderScience” Project (2011-2012)
Kristóf Fenyvesi and Eleonóra Stettner
Pages 553–554
Poly-Twistor by 3D printer: Classification of 3D Tori
Akio Hizume, Yoshikazu Yamagishi and Shoji Yotsutani
Pages 555–558
On the Question of Meter in African Rhythm: A Quantitative Mathematical Assessment
Godfried Toussaint
Pages 559–562
International Judging System of Figure Skating: A Middle Grades Activity on Decimal Operations
Diana Cheng
Pages 563–566
Uncertainty of Structure, Quantity, and Space as our Reality
Irene Rousseau
Pages 567–570
Hexagons and Their Inner World
Dániel Erdély
Pages 571–572
Aesthetic Appeal of Magic Squares
Russell Jay Hendel
Pages 573–574
The Mathematics and Art of Spirals Workshop
Ann Hanson
Pages 575–578
Mat Weaving: Towards the Möbius Band
Eva Knoll, Wendy Landry and Tara Taylor
Pages 579–586
A Fun Approach to Teaching Geometry and Inspiring Creativity
Ioana Browne, Michael Browne, Mircea Draghicescu, Cristina Draghicescu and Carmen Ionescu
Pages 587–592
Workshop: Make Your Own MP3 with “Algorhythmic” Generation and Aksak—Euclidean Synthesis
Mehmet Vurkaç
Pages 593–596
A Workshop on N-regular Polygon Torus using 4D frame
Ho-Gul Park
Pages 597–600
Poetry in conversation with mathematics
Carol Dorf
Pages 601–602
Printing by Rolling Möbius Band Stencils: Glide Reflection Embodied in Physical Action
Simon Morgan
Pages 603–610
Hearing the Drum of the Rhythm
John Belcher and Terrence Blackman
Pages 611–618
Flipbook Polyhedra
Andrea Hawksley and Scott Duke Kominers
Pages 619–624
Alberti's Window: Projective Geometry as the Geometry of Vision
Ricardo Nemirovsky and J. Brooke Ernest
Pages 625–628
RaM - Recycle and Mathematics: the Art of Tiling for Eco-design
Alessandra Capanna and Marcella Giulia Lorenzi
Pages 629–634
Orbifold and Cut
Vi Hart
Pages 635–638
A Fractal Wallhanging
Jay Kappraff
Pages 639–642