The Bridges Conference: Mathematical Connections
in Art, Music, and Science
Institute of Education London Knowledge Lab
August 4 – 9, 2006


Draft Programme Schedule (updated 14 July)

This programme is subject to change. For current information, or if you have any questions, please contact the organisers: Reza Sarhangi <gsarhangi@towson.edu> or John Sharp <Sliceforms@compuserve.com>

For paper and workshop abstracts, see the Abstracts Page .

THURSDAY 3 AUGUST

Registration: 4pm – 8pm, Jeffrey Hall

Art exhibit setup: 2pm – 8pm, Jeffrey Hall

FRIDAY 4 AUGUST – MORNING

Logan Hall
Chair: John Sharp

9.00-9.45

Registration: Concourse outside Logan Hall and Jeffrey Hall

 

9.45-10.15

Welcome

Bridges London Conference Organisers

10.15-11.00

The Work of Foster and Partners Specialist Modelling Group

Brady Peters and Xavier DeKestellier

11.00-11.15

Break

 

11.15-11.50

Music plenary (Title TBA)

 

Veryan Weston and others

11.50-12.00

Mandelbrot announcement

Javier Barallo

12.00-12.10

London for Bridges

Phillip Kent

12.10-12.20

Bridges Excursions details

John Sharp

FRIDAY 4 AUGUST – AFTERNOON

PAPERS

Time

F1 in Room 822

 

F2 in Room 642

F3 in Room 739

F4 in Room 728

 

Chairs:

Rachel W. Hall

Francisco Gómez

 

Chairs:

Robert W. Fathauer

Helmer Aslaksen

 

Chairs:

Barbara Setsu Pickett

Eva Knoll

Chairs:

Stephen Luecking

Craig S. Kaplan

 

2:00

On Mathematics, Music and Autism

Ioan James

Patterns on the Genus-3 Klein Quartic

Carlo H. Séquin

Cultural Insights from Symmetry Studies

Dorothy K. Washburn and Donald W. Crowe

 

Celtic Knotwork and Knot Theory 

Patricia Wackrill

 

2:30

A New Use of the Basic Mathematical Idea of Twelve-Tone Music

Ward Douglas Maurer

 

The Math of Art: Exploring Connections between Math and Color Theory

Amina Buhler-Allen

On the Bridging Powers of Geometry in the Study of Ancient Theatre Architecture

Zeynep Aktüre

The Gemini Family of Triangles

Alvin Swimmer and Mary C. Williams

3:00

Chromatic Fantasy:  Music-inspired Weavings Lead to a Multitude of Mathematical Possibilities

Jennifer Moore

Tribute to the Atomium

Samuel Verbiese

 

Interdisciplinary Bridges: A Novel Approach for Teaching Mathematics

Gail Kaplan

Visualizing Escape Paths in the Mandelbrot Set

Anne M. Burns

3:30

Playing Musical Tiles

Rachel W. Hall

Fractal Tilings Based on Dissections of Polyominoes

Robert W. Fathauer

Sashiko: the Stitched Geometry of Rural Japan

Barbara Setsu Pickett

Approximating Mathematical Surfaces with Spline Modelers

Stephen Luecking

3.55

BREAK

 

 

 

4:15

The Integrated Scale Desirability Function: A Musical Scale Consonance Measure Based on Perception Data

Richard J. Krantz and Jack Douthett

Slide-Together Structures

Rinus Roelofs

Mathematics and the Architecture: The Problem and the Theory in Pre-Modern Cultures

Zafer Sagdic

On a Family of Symmetric, Connected and High Genus Sculptures

Ergun Akleman, Ozan Ozener and Cem Yuksel

4:45

Mathematics and Music — Models and Morals

Meurig Beynon

The Taming of Roelofs Polyhedra

Frits Göbel

Cultural Statistics and Instructional Designs

Darius Zahedi

Zome-inspired Sculpture

Paul Hildebrandt

 

 

5:15

Steve Reich'S Clapping Music and the Yoruba Bell Timeline

Justin Colannino, Francisco Gómez and Godfried T. Toussaint

In Search of Demiregular Tilings

Helmer Aslaksen

An Interactive/Collaborative Su Doku Quilt

Eva Knoll and Mary Crowley

Vortex Maze Construction

Jie Xu and Craig S. Kaplan

5.40

FINISH

 

 

 

WORKSHOPS – ‘BRIDGES FOR TEACHERS, TEACHERS FOR BRIDGES’

Organisers/Chairs: Mara Alagic and Paul Gailiunas

 

Room

Room (Computer room)

2.00-3.10

Moving Beyond Geometric Shapes: Other Connections between Mathematics and the Arts for Elementary-grade Teachers

Virginia Usnick and Marilyn Sue Ford

Vermeer's "The Music Lesson" in Modular Perspective

Tomás García-Salgado

 

3.10-3.15

Break

 

3.15-4.25

Building Simple and Not So Simple Stick Models

Robert McDermott

 

4.25-4.30

Break

 

4:30-5.40

Mathematical Book Forms for Teachers

Susan Happersett

A Geometric Inspection of Pennsylvanian Dutch Hex Signs

Evan G. Evans and Reza Sarhangi

 

SATURDAY 5 AUGUST

London excursion day – no conference sessions.

For information: www.lkl.ac.uk/bridges/excursions.html

SUNDAY 6 AUGUST – MORNING

Logan Hall
Chair: Carlo Sequin

9.30-10.15

Collaboration on the Integration of Sculpture and Architecture in The Eden Project

Peter Randall-Page

10.30-11.15

Illuminating Chaos — Art on Average

Mike Field

11.15-11.30

Break

 

11.30-12.15

Bridging the gap — a search for a braid language

Jacqui Carey

 

SUNDAY 6 AUGUST – AFTERNOON

PAPERS

Time

S1 in Room 822

S2 in Room 739

S3 in Room 728

S4 in Room 642

 

Chairs:

Godfried Toussaint

Michael Mahan

Chairs:

David A. Richter

Jay Zimmerman

Chairs:

Robert Craig

Ergun Akleman

Chairs:

Carol Bier

B. Lynn Bodner

 

2:00

Responsive Visualization for Musical Performance

Robyn Taylor, Pierre Boulanger and Daniel Torres

Minkowski Sums and Spherical Duals

John M.Sullivan

Streptohedrons (Twisted polygons)

David Springett

Creating Penrose-type Islamic Interlacing Patterns

John Rigby

 

2:30

The Effect of Music-Enriched Instruction on the Mathematics Scores of Pre-School Children

Maureen Harris

Literatronic: Use of Hamiltonian Cycles to Produce Adaptivity in Literary Hypertext

Juan B. Gutierrez

Taitographs: Drawings made by Machines

Jack Tait

“Geometry” in Early Geometrical Disciplines: Representations and Demonstrations

Elaheh Kheirandish

3:00

Musical Scales, Integer Partitions, Necklaces, and Polygons

David Rappaport

 

Asymmetry vs. Symmetry in a New Class of Space-Filling Curves

Douglas M. McKenna

Linkages to Op-Art

John Sharp

An Introduction to Medieval Spherical Geometry for Artists and Artisans

Reza Sarhangi

3:30

RHYTHMOS: An Interactive System for Exploring Rhythm from the Mathematical and Musical Points of View

Jakob Teitelbaum and Godfried Toussaint

Green Quaternions, Tenacious Symmetry, and Octahedral Zome

David A. Richter and Scott Vorthmann

The Mechanical Drawing of Cycloids, The Geometric Chuck

Robert Craig

Islamic Art: An Exploration of Pattern

Carol Bier

3.55

BREAK

 

 

 

4:15

Towards Pedagogability of Mathematical Music Theory: Algebraic Models and Tiling Problems in Computer-aided Composition

Moreno Andreatta, Carlos Agon Amado, Thomas Noll and Emmanuel Amiot

Sculpture Puzzles

George W. Hart

J-F. Niceron's La Perspective Curieuse Revisited

J. L. Hunt

Teaching Arabesque

Jean-Marc Castera

4:45

Magic Stars and Their Components

Sergei Zagny

 

Constellations of Form: New Compositional Elements Related to Polyominoes

James Mai and Daylene Zielinski

D-Forms: 3D Forms from Two 2D Sheets

Tony Wills

Asymmetry in Persian Symmetrical Art and Architecture

Hourieh Mashayekh and Hayedeh Mashayekh

5:15

The Necessity of Time in the Perception of Three Dimensions: A Preliminary Inquiry

Michael Mahan

Portraits of Groups

Jay Zimmerman

Developable Sculptural Forms of Ilhan Koman

Tevfik Akgün, Ahmet Koman and Ergun Akleman

Seville’s Real Alcázar: Are All 17 Planar Crystallographic Groups Represented Here?

B. Lynn Bodner

5.40

FINISH

 

 

 

 

WORKSHOPS – ‘BRIDGES FOR TEACHERS, TEACHERS FOR BRIDGES’

Organisers/Chairs: Mara Alagic and Paul Gailiunas

 

Room

Room (Computer room)

2.00-3.10

Paper Sculptures with Vertex Deflection Tevfik Akgün, Ahmet Koman and Ergun Akleman

 

 

3.10-3.15

Break

 

3.15-4.25

Understanding the Mathematics Based Formulation on Dome Tessellation in Architect Sinan's Mosques Design

Zafer Sagdic, Mujdem Vural and Gokce Tuna Taygun

 

4.25-4.30

Break

 

4:30-5.40

The Plato Bead: A Bead Dodecahedron

Laura Shea

Creating Sliceforms with 3D Modelers Stephen Luecking

 

MONDAY 7 AUGUST – MORNING

Logan Hall
Chair: Nat Friedman

9.30-10.15

The Borromean Rings — A Tripartite Topological Relationship

Louis H. Kauffman

 

Love, Understanding, and Soap Bubbles

Simon Thomas

11.15-11.30

Break

 

11.30-12.15

Non-Euclidean Symmetry and Indra's Pearls

Caroline Series

 

MONDAY 7 AUGUST – AFTERNOON

PAPERS

Time

M1 in Room 822

M2 in Room 739

M3 in Room 728

M4 in Room 642

 

Chairs:

Ken Kahn

Russell Jay Hendel

 

 

Chairs:

Daylene Zielinski

Carla Farsi

Chairs:

Ramgopal Rajagopalan

Jay Kappraff

Chairs:

Gary R. Greenfield

Douglas G. Burkholder

 

 

2:00

Modular Perspective and Vermeer's Room

Tomás García-Salgado

Eva Hild: Topological Sculpture from Life Experience

Nat Friedman

Repeated Figures

Susan McBurney

More “Circle Limit III” Patterns

Douglas Dunham

2:30

Introducing the Precious Tangram Family

Stanley Spencer

 

Polygon Foldups in 3D

Kate Mackrell

Transformations of Vertices, Edges and Faces to Derive Polyhedra

Robert McDermott

Sand Drawings and Gaussian Graphs

Erik D. Demaine, Martin L. Demaine, Perouz Taslakian, and Godfried T. Toussaint

 

3:00

New Ways in Symmetry

María Francisca Blanco Martín and Elena Elvira Nieto

Tiled Artworks Based on the Goldbach Conjecture

Sharol Nau

Models of Cubic Surfaces in Polyester

Sergio Hernández, Carmen Perea, Irene Polo Blanco and Cayetano Ramírez “Tano”

Spidron Domain: The Expanding Spidron Universe

Dániel Erdély and Marc Pelletier

3:30

A Program to Interpolate (and Extrapolate) between Turtle Programs 

Ken Kahn

A Braided Effort: A Mathematical Analysis of Compositional Options

James Mai and Daylene Zielinski

Inference and Design in Kuba and Zillij Art with Shape Grammars

Ramgopal Rajagopalan, Eric Hortop, Dania El-Khechen, Cheryl Kolak Dudek, Lydia Sharman,
Fred Szabo, Thomas Fevens and Sudhir Mudur

Ant Paintings using a Multiple Pheromone Model

Gary R. Greenfield

3.55

BREAK

 

 

 

4:15

The Lorenz Manifold: Crochet and Curvature

Hinke M Osinga and Bernd Krauskopf

Circle Folded helices

Bradford Hansen-Smith

Teaching Design Science: An Exploration of Geometric Structures

Carl Fasano

A Meditation on Kepler's Aa

Craig S Kaplan

4:45

Photography and the Understanding of Mathematics

Richard Phillips

Fabric Sculpture — Jacob's Ladder

Louise Mabbs

Knot Designs from Snowflake Curves

Paul Gailiunas

Symmetric Characteristics of Traditional Hawaiian Patterns: a Computer Model

Tony Cao and Jin-Ho Park

 

5:15

The Programmer as Poet

Russell Jay Hendel

 

Math must be Beautiful

Carla Farsi

The Lost Harmonic Law of the Bible

Jay Kappraff

Affine Regular Pentagon Sculptures

Douglas G. Burkholder

 

WORKSHOPS – ‘BRIDGES FOR TEACHERS, TEACHERS FOR BRIDGES’

Organisers/Chairs: Mara Alagic and Paul Gailiunas

 

Room

Room (Computer Room )

2.00-3.10

The Aréte of Line Designs

Michael Round

 

3.10-3.15

Break

 

3.15-4.25

Mandala and 5, 6 and 7-fold Division of the Circle

Paul F. Stang

Topological Mesh Modeling

Ergun Akleman and Vinod Srinivasan

4.25-4.30

Break

 

4:30-5.40

Zellij Multipuzzle Jean-Marc Castera

 

MONDAY 7 AUGUST – EVENING

7.30 – 10.30: Bridges Musical Evening, Logan Hall

For information: www.lkl.ac.uk/bridges/musical.html

TUESDAY 8 AUGUST

Conference excursion to Salisbury Cathedral, New Art Centre–Roche Court, and Stonehenge. No conference sessions.

For information: www.lkl.ac.uk/bridges/excursions.html

WEDNESDAY 9 AUGUST

10.00 – 5.00: Bridges Family Day

The morning (10am -12.30pm) will consist of two activities in parallel:

1. Mathematics Masterclasses to be held at the Institute of Education
2. A Zometool workshop to be held at the London Knowledge Lab

The afternoon (1.30pm to 5 pm) will take the form of a Mathematics Activities Event (and Bridges participants will lead some of these activities).

More information: www.lkl.ac.uk/bridges/familyday.html


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