cover

Bridges 2017

Waterloo, Ontario, Canada
27–31 July 2017
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Front Matter
The Editors
Numbers with Personality
Alice Major
Pages 1–8
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
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
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