Bridges 2017

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Reference

David Swart, Carlo Séquin, and Kristóf Fenyvesi (eds.): Proceedings of Bridges 2017: Mathematics, Music, Art, Architecture, Culture. Bridges Conference at the University of Waterloo, Ontario, Canada, 27-31 July. Tessellations Publishing, Phoenix, Arizona, 2017. ISBN 978-1-938664-22-9

DOI

Abstract

Extended Abstract

Reviews

Bibtex

@proceedings{bridges2017:1,
 editor      = {David Swart, Carlo Séquin, and Kristóf Fenyvesi},
 booktitle   = {Proceedings of Bridges 2017: Mathematics, Music, Art, Architecture, Culture},
 year        = {2017},
 isbn        = {978-1-938664-22-9},
 issn        = {1099-6702},
 publisher   = {Tessellations Publishing},
 address     = {Phoenix, Arizona},
 url         = {http://bridgesmathart.org/past-conferences/bridges-2017/ http://archive.bridgesmathart.org/2017/index.html}
}

Table of contents

Regular Papers

  • Taneli Luotoniemi: Crooked Houses: Visualizing the Polychora with Hyperbolic Patchwork. Pages 17–24.
  • Robert Fathauer: Sculptural Forms Based on Radially-developing Fractal Curves. Pages 25–32
  • Vi Hart, Andrea Hawksley, Elisabetta Matsumoto and Henry Segerman: Non-euclidean Virtual Reality I: Explorations of H³. Pages 33–40
  • Vi Hart, Andrea Hawksley, Elisabetta Matsumoto and Henry Segerman: Non-euclidean Virtual Reality II: Explorations of H² ✕ E. Pages 41–48
  • Ellie Baker and Charles Wampler: Invertible Infinity: A Toroidal Fashion Statement. Pages 49–56
  • James Mallos: DNA-inspired Basketmaking: Scaffold-Strand Construction of Wireframe Sculptures. Pages 57–62
  • George Hart and Elisabeth Heathfield: Making Math Visible. Pages 63–70
  • Craig S. Kaplan: Interwoven Islamic Geometric Patterns. Pages 71–78
  • Henry Segerman and Rosa Zwier: Magnetic Sphere Constructions. Pages 79–86
  • Saied Zarrinmehr, Ergun Akleman, Mahmood Ettehad, Negar Kalantar, Alireza Borhani Haghighi and Shinjiro Sueda: An Algorithmic Approach to Obtain Generalized 2D Meander-Patterns. Pages 87–94
  • Kerry Mitchell: Fun with Integer Sequences. Pages 95–102
  • Susan Goldstine: A Survey of Symmetry Samplers. Pages 103–110
  • Douglas Dunham and John Shier: New Kinds of Fractal Patterns. Pages 111–116
  • Carlo H. Séquin: Homage to Eva Hild. Pages 117–124
  • Stephen Wassell and Mark Reynolds: Artwork Inspired by Dual Dodecahedra and Icosahedra. Pages 125–130
  • Frank A. Farris: Natural Color Symmetry. Pages 131–138
  • Adam Colestock: Let the Numbers Do the Walking: Generating Turtle Dances on the Plane from Integer Sequences. Pages 139–146
  • Hideki Tsuiki: Obtaining the H and T Honeycomb from a Cross-Section of the 16-cell Honeycomb. Pages 147–152
  • Kenneth Brecher: Art of Infinity. Pages 153–158
  • Kento Nakamura and Kazushi Ahara: A Geometrical Representation and Visualization of Möbius Transformation Groups. Pages 159–166
  • Stan Spencer: Geometric Factors and the Well Dressed Solids of Archimedes. Pages 167–174
  • Mircea Draghicescu: A General Method for Building Topological Models of Polyhedra. Pages 175–182
  • Taishi Oikawa, Kazuaki Yamazaki, Tomoko Taniguchi and Ryuhei Uehara: A Peg Solitaire Font. Pages 183–188
  • Francesco de Comité: Modelling Seashells Shapes and Pigmentation Patterns: Experiments with 3D Printing. Pages 189–196
  • Tom Verhoeff and Koos Verhoeff: Hopeless Love and Other Lattice Walks. Pages 197–204
  • Veronika Irvine and Frank Ruskey: Aspects of Symmetry in Bobbin Lace. Pages 205–212
  • Douglas Burkholder: Hidden Beauty in Penrose Tiling: Weavings & Lace. Pages 213–220
  • Leslie Love Stone and Christopher S. Brownell: Versatile Genius: A Case Study Intersecting Math, Science, Art, and California's National Parks. Pages 221–228
  • Abdalla Ahmed and Oliver Deussen: Tuti Inter-Weaving. Pages 229–236
  • Jacob Rus: Flowsnake Earth. Pages 237–244
  • John Hiigli and Stephen Weil: Inter-transformability II. Pages 245–252
  • Maria Victoria Canullo, Veronika Irvine and Robin Linhope Willson: Kissing Rings, Bracelets, Roses and Canadian Magnetic Coins: Circle Packing with Ferrite Block Magnets and Magnetic Sheet. Pages 253–260
  • Vincent Matsko: A Mathematics and Digital Art Course. Pages 261–268
  • Scott Vorthmann, David Hall and David Richter: Conics from Polygons: The Chord Ratio Construction. Pages 269–276
  • Samuel Verbiese: Zometool Tribute to Fabien Vienne at Bridges Finland 2016. Pages 277–282
  • Carlos Puente: The Artful Kaleidoscopes of the Circular and Spherical Bells. Pages 283–290
  • Karl Schaffer: Dichromatic Dances. Pages 291–298
  • Lisa Lajeunesse: The Golden Ratio: How Close Is Close Enough? Pages 299–304
  • Aaron Jones, Joann Kuchera-Morin and Theodore Kim: Seeing and Hearing the Eigenvectors of a Fluid. Pages 305–312
  • Dirk Huylebrouck: On Infinite Kepler-Poinsot Polyhedra. Pages 313–320
  • Lali Barrière: Combinatorics in the Art of the Twentieth Century. Pages 321–328
  • David Swart: Morphing TSP Art. Pages 329–334


Short Papers

3D Printed Tours Robert Bosch Pages 335–338

Great Books, Poetry and Mathematics Emily Grosholz Pages 339–342

Hyparhedra Revisited Eve Torrence Pages 343–346

Topological Images with Modular Block Print Tiles Felicia Tabing Pages 347–350

3D Printing in the Secondary Mathematics Classroom Patrick Honner Pages 351–354

Math Creations - A Math-Art Competition Bianca Violet, Chiquira Wagner and Ekaterina Eremenko Pages 355–358

The Poetics of a Cyclic Directed Graph Courtney Huse Wika and Daniel May Pages 359–362

A Temari Permutation Sampler Debra K. Borkovitz Pages 363–366

The English Translation of the 1652 Edition of J-F Niceron's Perspective Curieuse James Hunt and Sylvia Hunt Pages 367–370

Triskelion Block Families Akihiro Matsuura and Hiroshi Shirane Pages 371–374

Cut Colored Paper Sculptures of 3D Contour Plots of the Real and Imaginary Parts of Complex Functions Caroline Bowen Pages 375–378

Ballistic Deposition and Aesthetic Patterns Gary Greenfield Pages 379–382

Applying Helical Triangle Tessellations in Folded Light Art Jiangmei Wu Pages 383–386

Émilie, an Opera about Love, Death, and Mathematics Liisamaija Hautsalo and Osmo Pekonen Pages 387–390

Cartesian Lace Drawings Susan Happersett Pages 391–394

Constructing Mini-tools for Tessellations Loe Feijs, Jun Hu, Matthias Funk, Mayra Goevaerts, Teun Keusters and Caro Van Kessel Pages 395–398

The Sound of Space-Filling Curves Herman Haverkort Pages 399–402

A Cellular Automaton for Pied-de-poule (Houndstooth) Loe Feijs and Marina Toeters Pages 403–406

How to Draw a Line Simon Ever-Hale Pages 407–410

Quilting the Klein Quartic Elisabetta Matsumoto Pages 411–414

Turing-Like Patterns Revisited: A Peek Into The Third Dimension Martin Skrodzki and Konrad Polthier Pages 415–418

Algorithmic Aesthetics: Redefining Traditional Islamic Art Carol Bier Pages 419–422

On the Enumeration of Chequered Tilings in Polygons Hiroaki Hamanaka, Takashi Horiyama and Ryuhei Uehara Pages 423–426

Designing Modular Sculpture Systems Christopher Carlson Pages 427–430

Nebula: Live Dynamic Projection Mapping via Object Saliency Sara Greenberg, Audrey G. Chung and Alexander Wong Pages 431–434

Transforming Squares to Strips in Expanded Polyhedral Forms David Reimann Pages 435–438

Polyhedra: Eye Candy to Feed the Mind Stacy Speyer Pages 439–442

Listening to the Logistic Map Andrea Capozucca, Marco Fermani and Simone Giorgini Pages 443–446

Artistic Rendering of Curves via Lattice Paths Anton Bakker and Tom Verhoeff Pages 447–450

3D Printable Golden Sponges Donald Plante Pages 451–454

Using African Designs in Virtual Manipulatives for Geometrical Concept Development Philip Collett and Catherina Steyn Pages 455–458

Constructing Deltahedra from Recycled Plastic Bottles Weiling He, Chengde Wu and Ergun Akleman Pages 459–462

The Complexity of Braids, Cables, and Weaves Modeled with Stranded Cellular Automata Joshua Holden Pages 463–466

Inversive Diversions and Diversive Inversions Gregg Helt Pages 467–470

Shaping Poems -- with Visual Forms and Counting JoAnne Growney Pages 471–474

The Interval Dissonance Rate: An Analytical Look into Chromaticism of Chopin’s Op. 10 No. 2 and Scriabin's Op. 11 No. 2 Nikita Mamedov and Robert Peck Pages 475–478

Obtaining Four Main Animation Cycles Using an Extremely Limited Set of Poses Ergun Akleman, Derya Akleman, Ioannis Pavlidis and Pradeep Buddharaju Pages 479–482

Designing Skeletal Polyhedral Sculptures Inspired by Octet-Truss Systems and Structural Inorganic Chemistry with Bugle Beads Chia-Chin Tsoo and Bih-Yaw Jin Pages 483–486

Surfaces Foliated by Planar Geodesics: A Model for Curved Wood Design David Brander and Jens Gravesen Pages 487–490

Tiling Notation as Design Tool for Textile Knotting Nithikul Nimkulrat, Janette Matthews and Tuomas Nurmi Pages 491–494

Visualizing Math Art Activities at the GameLab Sujan Shrestha Pages 495–498

The Surprising Versatility of Edge-Matching Tiles Kate Jones Pages 499–502

Triaxial Weaving for Complex Repeat Patterns and Tessellations Mary Klotz Pages 503–506

Symmetric Binary Trees with Branching Ratios Larger than 1 Nick Mendler and Vincent J. Matsko Pages 507–510

Introducing the Kasparian Constructions Raffi J. Kasparian and Alice E. Petillo Pages 511–514

Non-Octave Guitar and Keyboard Designs for Ervin M. Wilson Reilly Smethurst Pages 515–518

The Discovery and Application of the Protogon’s Spiral Andrew Smith Pages 519–522


Workshop Papers

Dancing Rope and Braid Into Being: Whole-body Learning in Creating Mathematical/ Architectural Structures Susan Gerofsky, Eva Knoll and James Forren Pages 523–530

Collaboration in Creating The Mathematical Poem Carol Dorf Pages 531–532

From Rabbit Ears to Origami Flowers: Triangle Centers and the Concept of Function Alan Russell Pages 533–538

Omnidirectional Robot Construction at the Math Class Kristóf Fenyvesi, Ákos Vecsei, Diego Lieban, Zsolt Lavicza, Hogul Park and Gábor Vecsei Pages 539–546

Creating Polyhedra with Snapology Faye Goldman Pages 547–552

The Magic of Anamorphosis in Elementary and Middle School Marina Barreto and Diego Lieban Pages 553–556

Star Origami Joy Hsiao Pages 557–562

The Aesthetics of Colour in Mathematical Diagramming Eva Knoll, Tara Taylor, Wendy Landry, Paul Carreiro, Katie Puxley and Karyn Harrison Pages 563–570

How to Use Vector Theory to Write a Story Cynthia Clay Pages 571–572

Folding the Dragon Curve Fractal Natalija Budinski and Miroslav Novta Pages 573–578

Thinking Visually: Triangles as Units of Area Paul Gailiunas Pages 579–582

Playing in the Lux Dimension Michael Acerra Pages 583–588