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

HyperRogue: Playing with Hyperbolic Geometry Eryk Kopczyński, Dorota Celińska and Marek Čtrnáct Pages 9–16

Crooked Houses: Visualizing the Polychora with Hyperbolic Patchwork Taneli Luotoniemi Pages 17–24

Sculptural Forms Based on Radially-developing Fractal Curves Robert Fathauer Pages 25–32

Non-euclidean Virtual Reality I: Explorations of H³ Vi Hart, Andrea Hawksley, Elisabetta Matsumoto and Henry Segerman Pages 33–40

Non-euclidean Virtual Reality II: Explorations of H² ✕ E Vi Hart, Andrea Hawksley, Elisabetta Matsumoto and Henry Segerman Pages 41–48

Invertible Infinity: A Toroidal Fashion Statement Ellie Baker and Charles Wampler Pages 49–56

DNA-inspired Basketmaking: Scaffold-Strand Construction of Wireframe Sculptures James Mallos Pages 57–62

Making Math Visible George Hart and Elisabeth Heathfield Pages 63–70

Interwoven Islamic Geometric Patterns Craig S. Kaplan Pages 71–78

Magnetic Sphere Constructions Henry Segerman and Rosa Zwier Pages 79–86

An Algorithmic Approach to Obtain Generalized 2D Meander-Patterns Saied Zarrinmehr, Ergun Akleman, Mahmood Ettehad, Negar Kalantar, Alireza Borhani Haghighi and Shinjiro Sueda Pages 87–94

Fun with Integer Sequences Kerry Mitchell Pages 95–102

A Survey of Symmetry Samplers Susan Goldstine Pages 103–110

New Kinds of Fractal Patterns Douglas Dunham and John Shier Pages 111–116

Homage to Eva Hild Carlo H. Séquin Pages 117–124

Artwork Inspired by Dual Dodecahedra and Icosahedra Stephen Wassell and Mark Reynolds Pages 125–130

Natural Color Symmetry Frank A. Farris Pages 131–138

Let the Numbers Do the Walking: Generating Turtle Dances on the Plane from Integer Sequences Adam Colestock Pages 139–146

Obtaining the H and T Honeycomb from a Cross-Section of the 16-cell Honeycomb Hideki Tsuiki Pages 147–152

Art of Infinity Kenneth Brecher Pages 153–158

A Geometrical Representation and Visualization of Möbius Transformation Groups Kento Nakamura and Kazushi Ahara Pages 159–166

Geometric Factors and the Well Dressed Solids of Archimedes Stan Spencer Pages 167–174

A General Method for Building Topological Models of Polyhedra Mircea Draghicescu Pages 175–182

A Peg Solitaire Font Taishi Oikawa, Kazuaki Yamazaki, Tomoko Taniguchi and Ryuhei Uehara Pages 183–188

Modelling Seashells Shapes and Pigmentation Patterns: Experiments with 3D Printing Francesco de Comité Pages 189–196

Hopeless Love and Other Lattice Walks Tom Verhoeff and Koos Verhoeff Pages 197–204

Aspects of Symmetry in Bobbin Lace Veronika Irvine and Frank Ruskey Pages 205–212

Hidden Beauty in Penrose Tiling: Weavings & Lace Douglas Burkholder Pages 213–220

Versatile Genius: A Case Study Intersecting Math, Science, Art, and California's National Parks Leslie Love Stone and Christopher S. Brownell Pages 221–228

Tuti Inter-Weaving Abdalla Ahmed and Oliver Deussen Pages 229–236

Flowsnake Earth Jacob Rus Pages 237–244

Inter-transformability II John Hiigli and Stephen Weil Pages 245–252

Kissing Rings, Bracelets, Roses and Canadian Magnetic Coins: Circle Packing with Ferrite Block Magnets and Magnetic Sheet Maria Victoria Canullo, Veronika Irvine and Robin Linhope Willson Pages 253–260

A Mathematics and Digital Art Course Vincent Matsko Pages 261–268

Conics from Polygons: The Chord Ratio Construction Scott Vorthmann, David Hall and David Richter Pages 269–276

Zometool Tribute to Fabien Vienne at Bridges Finland 2016 Samuel Verbiese Pages 277–282

The Artful Kaleidoscopes of the Circular and Spherical Bells Carlos Puente Pages 283–290

Dichromatic Dances Karl Schaffer Pages 291–298

The Golden Ratio: How Close Is Close Enough? Lisa Lajeunesse Pages 299–304

Seeing and Hearing the Eigenvectors of a Fluid Aaron Jones, Joann Kuchera-Morin and Theodore Kim Pages 305–312

On Infinite Kepler-Poinsot Polyhedra Dirk Huylebrouck Pages 313–320

Combinatorics in the Art of the Twentieth Century Lali Barrière Pages 321–328

Morphing TSP Art David Swart 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