Bridges 2009

Banff, Alberta, Canada
26–30 July 2013
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Front Matter
The Editors
Mathematics Is Art
Erik Demaine and Martin Demaine
Pages 1–10
Mathematical Methods in Origami Design
Robert J. Lang
Pages 11–20
Kircher's Mechanical Composer: A Software Implementation
Jim Bumgardner
Pages 21–28
Three Conceptions of Musical Distance
Dmitri Tymoczko
Pages 29–38
Using Turtles and Skeletons to Display the Viewable Sphere
David Swart
Pages 39–46
Notation for a Class of Paperfolded Models
Goran Konjevod and Ana Maria Kuprešanin
Pages 47–54
The Art of Iterated Function Systems with Expanding Functions
Philip Van Loocke
Pages 55–62
Harmonious Dances
Karl Schaffer
Pages 63–68
Bridging Art Museums and Middle School Math Classrooms
Benjamin Wells and Philip Wagner
Pages 69–78
Combinatoria Poetica: Counting and Visualizing Rhyme Patterns in Sonnets
Hartmut F.W. Höft
Pages 79–86
Tubular Sculptures
Carlo H. Séquin
Pages 87–96
Comic Books That Teach Mathematics
Bruce Kessler
Pages 97–104
Art and Nonlinear Projection
John Brosz, Sheelagh Carpendale, Faramarz Samavati, Hao Wang and Alan Dunning
Pages 105–114
Aesthetically Pleasing Azulejo Patterns
Russell Hendel
Pages 115–122
Marking a Physical Sphere with a Projected Platonic Solid
Carolyn Yackel
Pages 123–130
Coloring Uniform Honeycombs
Glenn Laigo, Ma. Louise Antonette N. De las Peñas and René Felix
Pages 131–138
Map-Colored Mosaics
Robert Bosch and Andrew Pike
Pages 139–146
The Unique Eleven-Pointed Star Polygon Design of the Topkapı Scroll
B. Lynn Bodner
Pages 147–154
Composite Digital Mosaics using Duotone Tiles
Gary Greenfield
Pages 155–162
The Symmetry of “Circle Limit IV” and Related Patterns
Douglas Dunham
Pages 163–168
Symmetry and Transformations in the Musical Plane
Vi Hart
Pages 169–176
Counterchange Patterns and Polyhedra
B.G. Thomas
Pages 177–182
Non-Flat Tilings with Flat Tiles
Rinus Roelofs
Pages 183–192
Using Polyhedral Stellations for Creation of Organic Geometric Sculptures
Vladimir Bulatov
Pages 193–198
Polyhedra Through the Beauty of Wood
Robert Rollings
Pages 199–206
Growth Forms
George Hart
Pages 207–214
Using Works of Visual Art to Teach Matrix Transformations
James Luke Akridge, Rachel Bowman, Peter Hamburger and Bruce Kessler
Pages 215–222
Regular 3D Polygonal Circuits of Constant Torsion
Tom Verhoeff and Koos Verhoeff
Pages 223–230
A Garden of Statistically Self-Similar Plants
Anne Burns
Pages 231–238
Real Tornado
Akio Hizume and Yoshikazu Yamagishi
Pages 239–242
Concave Hexagons
Paul Gailiunas
Pages 243–250
A New Method for Designing Iterated Knots
Robert Fathauer
Pages 251–258
A Group Portrait on a Surface of Genus Five
Jay Zimmerman
Pages 259–264
Tiling the Musical Canon with Augmentations of the Ashanti Rhythmic Pattern
Carl Bracken, Gary Fitzpatrick and Nadya Markin
Pages 265–270
Spidronised Space-Fillers
Walt van Ballegooijen, Paul Gailiunas and Dániel Erdély
Pages 271–278
Spirograph Patterns and Circular Representations of Rhythm: Exploring Number Theory Concepts Through Visual, Tangible and Audible Representations
Susan Gerofsky, Francisco Gomez, David Rappaport and Godfried Toussaint
Pages 279–286
On Constructing a Virtual Loom
Susan McBurney
Pages 287–292
ShamsehTrees: Providing Hierarchical Context for Nodes of Interest
Katayoon Etemad and Sheelagh Carpendale
Pages 293–300
Talking About Math/Art: The Long Pause
Bathsheba Grossman
Pages 301–302
The Whitney Music Box
Jim Bumgardner
Pages 303–304
Mathematical Experiments with African Sona Designs
Darrah Chavey
Pages 305–308
Honors Seminar: A Creative Interdisciplinary Approach for Student Exploration
Gail Kaplan
Pages 309–312
Realistic Image Making with Mandelbrot Set
Mehrdad Garousi and Khalil Taleslami
Pages 313–314
An Interdisciplinary First Seminar on Symmetry
Tamara Lakins
Pages 315–316
This Equation is Art
Peter Smith
Pages 317–318
ZenArt, graphic geometrical modules
André Génard
Pages 319–320
Amazing Labyrinths, further Amazing Labyrinths, further developments
Samuel Verbiese
Pages 321–322
Finding a New Route to the Moon Using Paintings
Edward Belbruno
Pages 323–324
Text from Truchet Tiles
David Reimann
Pages 325–326
Geometry and Geodesy: Estimating the Earth's Circumference with Prospective Elementary Teachers
Sandy Spitzer
Pages 327–328
A Myriad Shades of Green
Liselott Flodén, Anders Holmbom, Marianne Olsson and Jens Persson
Pages 329–330
Geometric Transformations in Surface Design Generation
Fatma Mete
Pages 331–332
The Quinary—Permuting Meaning with Generative Poetry
Brian Evans
Pages 333–334
Spelunking Adventure II: Combining Cyclons
Curtis Palmer
Pages 335–336
Binary Based Fresco Restoration
Wolfgang Baatz, Massimo Fornasier, Peter A. Markowich and Carola-Bibiane Schönlieb
Pages 337–338
Plane, Space, Cubism and Perpetual Displacement in 3D Design
Joel Varland
Pages 339–340
Mathematical Classroom Quilts
Elaine F. Ellison
Pages 341–342
Mathematical Iconography in Gaudí's Cosmos
Stephen Luecking
Pages 343–344
Chaos – The Movie
Susan Happersett
Pages 345–346
The Frustrated Mathematician
Michael Frantz
Pages 347–348
An Optical Demonstration of Fractal Geometry
Billy C. Scannell, Ben Van Dusen and R.P. Taylor
Pages 349–350
Using Geometer's Sketchpad to Construct Pop-up Polyhedra as a Tool for Classroom Study of Geometry
S. Louise Gould
Pages 351–354
Chaos, Complexity, and Creativity
Krystyna Laycraft
Pages 355–362
Stories Count: Narrative Approaches to Quantitative Learning
Suzie Garfield
Pages 363–366
Creating Islamic Patterns from Folded Shapes
E.B. Meenan and B.G. Thomas
Pages 367–374
Workshop: Working With Patterns To Introduce Mathematics Concepts To Young Children
Patricia Bentley
Pages 375–378
Exploring Some of the Mathematical Properties of Chains
Eva Knoll and Tara Taylor
Pages 379–382
Bridges 09 Interactive Workshop: The Geometry of Longsword and Rapper Sword Locks
Susan Gerofsky
Pages 383–384
The Beautiful Triangle
Greg Beiles and Daphne Rosenwald
Pages 385–388
Perspectives on Perspective
Duncan Melville and Sarah Melville
Pages 389–394
Workshop on The Fusion Project: Bridging Art Museums and Middle School Math Teachers
Benjamin Wells and Philip Wagner
Pages 395–402
A Workshop to Build Three Simple Tensegrity Models for K-12 Mathematics Classrooms
Robert McDermott
Pages 403–408
Transferring Patterns: From Twill to Peyote Stitch
Eva Knoll
Pages 409–412