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George Hart, Reza Sarhangi (eds.): Bridges 2013, Mathematics, Music, Art, Architecture, Culture. Bridges Conference at the University of Twente and Saxion University of Applied Sciences Enschede, the Netherlands, 2013. ISBN: 978-1-938664-06-9



Extended Abstract



Table of contents

  • The Editors: Front Matter
  • Harold Kroto: An Arts Project Uncovering an Important Scientific Advance. Pages 1–8
  • Jarke J. van Wijk: Math for Visualization, Visualizing Math. Pages 9–12
  • Paul Gailiunas: Patterns for Skew Mad Weave Polyhedra. Pages 13–18
  • Robert Crease: The Beauty of Equations. Pages 19–26
  • Sarah Glaz: Mathematical Ideas in Ancient Indian Poetry. Pages 27–34
  • Stephen Luecking: Mathematics Education and Early Abstract Art. Pages 35–42
  • Gary Greenfield: Ant Paintings Based on the Seed Foraging Behavior of P. barbatus. Pages 43–48
  • Michael Bartholomew-Biggs: Poetry & Algorithms. Pages 49–54
  • Stephanie Toussaint: A Comparative Geometric Analysis of the Patterns Found on the Pavement Mosaics of the Chedworth Roman Villa. Pages 55–62
  • Alejandro Erickson: Tatami Maker: A Combinatorially Rich Mechanical Game Board. Pages 63–70
  • Tom Verhoeff and Koos Verhoeff: Folded Strips of Rhombuses and a Plea for the √2:1 Rhombus. Pages 71–78
  • Koji Miyazaki: Multidimensional Impossible Polycubes. Pages 79–86
  • Phil Webster: Fractal Islamic Geometric Patterns Based on Arrangements of {n/2} Stars. Pages 87–94
  • Anne Burns: Removing Tremas with a Rational Function. Pages 95–102
  • Tatiana Bonch-Osmolovskaya: Antisymmetrical Palindromes in Traditional European and Contemporary Russian Poetry. Pages 103–110
  • Xavier Mora and Marta Pellicer: Understanding and measuring rhythmic quality in dance. What is a movement accent? Pages 111–118
  • Robert Bosch, Sarah Fries, Mäneka Puligandla and Karen Ressler: From Path-Segment Tiles to Loops and Labyrinths. Pages 119–126
  • Francisco González-Quintial, Antonio Sánchez-Parandiet and Javier Barrallo: Approaching an Approximation of Freeform Surfaces by Developable Strips using Apparent Contours. Pages 127–134
  • Greg Frederickson: Artfully Folding Hexagons, Dodecagons, and Dodecagrams. Pages 135–142
  • Daniela Velichová: The Art of Geometry. Pages 143–150
  • Reza Sarhangi: Tiling and Tazhib of Some Special Star Polygons: A Mathematics and Art Case Study. Pages 151–158
  • Tiffany C. Inglis and Craig S. Kaplan: Animating Line-based Op Art. Pages 159–166
  • Vladimir Bulatov: Bending Circle Limits. Pages 167–174
  • Robert W. Fathauer: Iterative Arrangements of Polyhedra—Relationships to Classical Fractals and Haüy Constructions. Pages 175–182

Marcel Tünnissen: Polyhedra with Folded Regular Heptagons. Pages 183–190

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


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