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Bridges 2009 Program

Please note: this program is tentative and subject to change before the start of the conference. It can be used to get a rough sense of the overall structure of the conference.


Please see the notes at the bottom of this page for more information about talk sessions, chairing, and presentation technology.
July 26th, Morning (9:00–12:00)
Plenary Talks I
Max Bell Auditorium
Chair: Craig S. Kaplan


9:00–9:30 Welcome
Bridges Banff Scientific Organizers
9:30–10:15 Plenary Talk: Mathematics is Art
Erik Demaine
10:30–11:15 Plenary Talk: Growth Forms
George Hart
11:30–12:00 Art Exhibition opening and reception, supported by the Journal of Mathematics and the Arts
Lunch (12:00–2:15)
July 26th, Afternoon (2:15–6:05)
Regular Papers I: Music & Dance
Chair: Vi Hart

2:15–2:40 Tiling the Musical Canon with Augmentations of the Ashanti Rhythmic Pattern
Carl Bracken, Gary Fitzpatrick and Nadya Markin
2:50–3:15 Harmonious Dances
Karl Schaffer
3:25–3:50 Symmetry and Transformations in the Musical Plane
Vi Hart
Regular Papers II: Teaching & Creativity
Chair: Benjamin Wells

2:15–2:40 Marking a Physical Sphere with a Projected Platonic Solid
Carolyn Yackel
2:50–3:15 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
3:25–3:50 Bridging Art Museums and Middle School Math Classrooms
Benjamin Wells and Philip Wagner
Workshops I
Coordinated by Mara Alagic and Paul Gailiunas

2:15–3:25 The Beautiful Triangle
Greg Beiles and Daphne Rosenwald
3:35–4:45 A Workshop to Build Three Simple Tensegrity Models for K-12 Mathematics Classrooms
Robert McDermott
4:55–6:05 Bridges 09 Interactive Workshop: The Geometry of Longsword and Rapper Sword Locks
Susan Gerofsky
Break (4:00-4:30)
Regular Papers III: Smaller & Smaller
Chair: Douglas Dunham

4:30–4:55 A Garden of Statistically Self-Similar Plants
Anne Burns
5:05–5:30 The Art of Iterated Function Systems with Expanding Functions
Philip Van Loocke
5:40–6:05 The Symmetry of “Circle Limit IV” and Related Patterns
Douglas Dunham
Short Papers I
Chair: Sandy Spitzer

4:30–4:40 Mathematical Classroom Quilts
Elaine F. Ellison
4:50–5:00 Honors Seminar: A Creative Interdisciplinary Approach for Student Exploration
Gail Kaplan
5:10–5:20 An Interdisciplinary First Seminar on Symmetry
Tamara Lakins
5:30–5:40 Using Geometer's Sketchpad to Construct Pop-up Polyhedra as a Tool for Classroom Study of Geometry
S. Louise Gould
5:50–6:00 Geometry and Geodesy: Estimating the Earth's Circumference with Prospective Elementary Teachers
Sandy Spitzer
Dinner (6:05–8:00)
July 26th, Evening (8:00–10:00)
Bridges Presentation and Movie Night
Max Bell Auditorium


A screening of Between the Folds, an award-winning 2008 documentary about the art and science of paperfolding. Features invited speakers Erik Demaine and Robert Lang, attendee Chris Palmer, and others.

July 27th, Morning (9:00–12:00)
Plenary Talks II
Max Bell Auditorium
Chair: Carlo Séquin


9:00–9:45 Plenary Talk: Mathematical Methods in Origami Design
Robert J. Lang
10:00–10:45 Plenary Talk: Using Turtles and Skeletons to Display the Viewable Sphere
David Swart
11:00–11:45 Plenary Talk: Arca Musarithmica: A Pair of Curious Music Boxes
Jim Bumgardner
Lunch (12:00–2:15)
July 27th, Afternoon (2:15–6:05)
Regular Papers IV: 2D Patterns
Chair: Susan McBurney

2:15–2:40 Aesthetically Pleasing Azulejo Patterns
Russell Hendel
2:50–3:15 The Unique Eleven-Pointed Star Polygon Design of the Topkapı Scroll
B. Lynn Bodner
3:25–3:50 On Constructing a Virtual Loom
Susan McBurney
Regular Papers V: Visualization & Computation
Chair: Robert Fathauer

2:15–2:40 Art and Nonlinear Projection
John Brosz, Sheelagh Carpendale, Faramarz Samavati, Hao Wang and Alan Dunnin g
2:50–3:15 A New Method for Designing Iterated Knots
Robert Fathauer
Workshops II
Coordinated by Mara Alagic and Paul Gailiunas

2:15–3:25 Perspectives on Perspective
Duncan Melville and Sarah Melville
3:35–4:45 Transferring Patterns: From Twill to Peyote Stitch
Eva Knoll
4:55–6:05 Stories Count: Narrative Approaches to Quantitative Learning
Suzie Garfield
Break (4:00-4:30)
Regular Papers VI: Polyhedra
Chair: B.G. Thomas

4:30–4:55 Using Polyhedral Stellations for Creation of Organic Geometric Sculptures
Vladimir Bulatov
5:05–5:30 Polyhedra Through the Beauty of Wood
Robert Rollings
5:40–6:05 Counterchange Patterns and Polyhedra
B.G. Thomas
Short Papers II
Chair: Darrah Chavey

4:30–4:40 Text from Truchet Tiles
David Reimann
4:50–5:00 ZenArt, graphic geometrical modules
André Génard
5:10–5:20 Amazing Labyrinths, further developments
Samuel Verbiese
5:30–5:40 Mathematical Experiments with African Sona Designs
Darrah Chavey
5:50–6:00 Geometric Transformations in Surface Design Generation
Fatma Mete
Dinner (6:05–7:30)
July 27th, Evening (7:30–10:00)
Evening Program


7:30–9:00 JMA Editorial Meeting
Hosted by Gary Greenfield (by invitation only)
9:00–10:00 Bridges General Discussion
Hosted by Craig S. Kaplan, open to all Bridges participants
July 28th, Morning (9:00–12:00)
Regular Papers VII: Geometry
Chair: Paul Gailiunas

9:00–9:25 Real Tornado
Akio Hizume and Yoshikazu Yamagishi
9:35–10:00 Spidronised Space-Fillers
Walt van Ballegooijen, Paul Gailiunas and Dániel Erdély
10:10–10:35 Concave Hexagons
Paul Gailiunas
Short Papers III
Chair: Stephen Luecking

9:00–9:10 The Quinary—Permuting Meaning with Generative Poetry
Brian Evans
9:20–9:30 This Equation is Art
Peter Smith
9:40–9:50 The Frustrated Mathematician
Michael Frantz
10:00–10:10 Mathematical Iconography in Gaudí's Cosmos
Stephen Luecking
Workshops III
Coordinated by Mara Alagic and Paul Gailiunas

9:00–10:10 Exploring Some of the Mathematical Properties of Chains
Eva Knoll and Tara Taylor
10:20–11:30 Chaos, Complexity, and Creativity
Krystyna Laycraft
Break (10:30-11:00)
Regular Papers VIII: Teaching Mathematics
Chair: Peter Hamburger

11:00–11:25 Comic Books That Teach Mathematics
Bruce Kessler
11:35–12:00 Using Works of Visual Art to Teach Matrix Transformations
James Luke Akridge, Rachel Bowman, Peter Hamburger and Bruce Kessler
Regular Papers IX: Art from Groups
Chair: Jay Zimmerman

11:00–11:25 Regular 3D Polygonal Circuits of Constant Torsion
Tom Verhoeff and Koos Verhoeff
11:35–12:00 A Group Portrait on a Surface of Genus Five
Jay Zimmerman
Lunch (12:00–1:30)
July 28th, Afternoon (1:30–6:00)
Bridges Excursion


An excursion by motorcoach to several regional sightseeing destinations. Tickets will be available on July 26th and cost $20 per person. The coaches will depart from The Banff Centre promptly at 1:30.
Dinner (6:00–7:30)
July 28th, Evening (7:30–10:00)
Evening Program


7:30–8:00 Wine (partially supported by Taylor & Francis) and cash bar
8:00–10:00 Music Night
Hosted by Vi Hart
July 29th, Morning (9:00–12:00)
Plenary Talks III
Max Bell Auditorium
Chair: George Hart


9:00–9:45 Plenary Talk: Tubular Sculptures
Carlo Séquin
10:00–10:45 Plenary Talk: Three Conceptions of Musical Distance
Dmitri Tymoczko
11:00–11:45 Plenary Talk: Non-Flat Tilings with Flat Tiles
Rinus Roelofs
Lunch (12:00–2:15)
July 29th, Afternoon (2:15–6:05)
Regular Papers X: Algorithmic Images
Chair: Gary Greenfield

2:15–2:40 Map-Colored Mosaics
Robert Bosch and Andrew Pike
2:50–3:15 ShamsehTrees: Providing Hierarchical Context for Nodes of Interest
Katayoon Etemad and Sheelagh Carpendale
3:25–3:50 Composite Digital Mosaics using Duotone Tiles
Gary Greenfield
Short Papers IV
Chair: Billy C. Scannell

2:15–2:25 Binary Based Fresco Restoration
Wolfgang Baatz, Massimo Fornasier, Peter A. Markowich and Carola-Bibiane Schönlieb
2:35–2:45 A Myriad Shades of Green
Liselott Flodén, Anders Holmbom, Marianne Olsson and Jens Persson
2:55–3:05 Talking About Math/Art: The Long Pause
Bathsheba Grossman
3:15-3:25 An Optical Demonstration of Fractal Geometry
Billy C. Scannell, Ben Van Dusen and R.P. Taylor
3:35-3:45 Realistic Image Making with Mandelbrot Set
Mehrdad Garousi and Khalil Taleslami
Workshops IV
Coordinated by Mara Alagic and Paul Gailiunas

2:15–3:25 Workshop on The Fusion Project: Bridging Art Museums and Middle School Math Teachers
Benjamin Wells and Philip Wagner
3:35–4:45 Workshop: Working With Patterns To Introduce Mathematics Concepts To Young Children
Patricia Bentley
4:55–6:05 Creating Islamic Patterns from Folded Shapes
E.B. Meenan and B.G. Thomas
Break (4:00-4:30)
Regular Papers XI: Counting & Colouring
Chair: Goran Konjevod

4:30–4:55 Combinatoria Poetica: Counting and Visualizing Rhyme Patterns in Sonnets
Hartmut F.W. Höft
5:05–5:30 Coloring Uniform Honeycombs
Glenn Laigo, Ma. Louise Antonette N. De las Peñas and René Felix
5:40–6:05 Notation for a Class of Paperfolded Models
Goran Konjevod and Ana Maria Kuprešanin
Short Papers V
Chair: Curtis Palmer

4:30–4:40 Chaos – The Movie
Susan Happersett
4:50–5:00 Plane, Space, Cubism and Perpetual Displacement in 3D Design
Joel Varland
5:10–5:20 Finding a New Route to the Moon Using Paintings
Edward Belbruno
5:30–5:40 Spelunking Adventure II: Combining Cyclons
Curtis Palmer
Dinner (6:05–8:00)
July 29th, Evening (8:00–10:00)
Evening Program


8:00–10:00 Theatre night
Hosted by Steve Abbott
July 30th, Morning (9:00–12:00)
Banff Centre Exploration


Visit several different facilities on the campus of The Banff Centre, meet the staff, and explore their many ongoing activities in music, dance, theatre, and art.

Program Notes

Welcome to the twelfth annual Bridges conference. We are delighted to have so many excellent speakers and participants at the conference. We hope you find this meeting to be both enjoyable and inspirational.

Except for the excursion on July 28th, the mornings will be devoted entirely to Plenary Sessions, held in the Max Bell Auditorium. In the afternoons, participants will have a choice from among regular and short paper sessions and workshops, all held in the Max Bell Building.

All paper sessions have designated chairs. The chair's duties are to keep their session on schedule, to introduce the speakers, and (if necessary) to act as a moderator for any questions that follow a presentation. Of course, all participants are asked to lend their cooperation and support to this process, in order that the sessions might proceed as smoothly as possible. Before the beginning of a session, speakers should introduce themselves to the chair and provide them with a few words to use as an introduction (or, at the very least, the correct pronunciation of the speaker's name).

Regular and short paper presentations are scheduled for 25 and 10 minutes, respectively, including time for questions. All presentations are separated by 10-minute breaks to give participants a chance to change rooms. If necessary, a speaker may take up to an extra five minutes for their talk. Presenters who feel that they will need this extra time should advise the chair at the start of the session. Chairs, please ensure that there is always at least five minutes between consecutive talks.

The workshops were conceived and designed to benefit educators. However, they may be of interest and benefit to all participants. Everyone should seek the best combinations of workshops and paper sessions that fit their individual needs and interests.

All rooms will be equipped with data projectors. Presenters will be responsible for bringing (or borrowing) computers to from which to give talks.