Bridges Towson 2012 FAMILY DAY & MATH-ART EXPO

Bridges TOWSON 2012 Mathematics, Music, Art, Architecture, Culture July 25-29, 2012

Introduction The International annual conference of Bridges: Mathematical Connections in Art, Music, and Science was created in 1998 and is conducted annually. It has provided a remarkable model of how seemingly unrelated and even antipodal disciplines, such as mathematics and art, can be crossed.

During the conference, practicing mathematicians, scientists, artists, educators, musicians, writers, computer scientists, sculptures, dancers, weavers, and model builders have come together in a lively and highly charged atmosphere of mutual exchange and encouragement. Important components of this conference series, apart from formal presentations, are gallery displays of visual art, working sessions with practitioners and artists who are crossing mathematics-arts boundaries, and evening musical or theatrical events. Furthermore, a lasting record of each Bridges Conference is its Proceedings – a beautiful resource book of the papers and the visual presentations of the meeting. The birthplace of the conference was a private liberal art college in Kansas, Southwestern College. After a few years the conference grew and found new places to be hosted such as Towson University, Maryland, the University of Granada, Spain, the Banff Centre, Canada, the University of London, England, the School of Architecture, The University of the Basque Country, San Sebastian, Spain, and the birthplace of M.C. Escher, Leeuwarden, the Netherlands.

For the past few years the conference has brought annually about 250 participants from more than twenty five countries together. Nevertheless, since the conference reaches the public by providing mathematical art exhibits, musical events, public lectures, and theater shows, the number of attendees in some cases reaches more than five hundred. Most participants are faculty members from colleges and universities that try to cross other disciplines to find new ideas and develop new ways of teaching mathematics and science using tools empowered or borrowed from disciplines such as art and music.

What makes this conference special can be summarized as follows: A large number of individuals, who are in the education, scientific, or artistic parts of developing software utilities, in the area of “mathematics and art” are regular participants of the conference.

A large number of individuals who are developing manipulative tools for creating or teaching ideas in connection between mathematics and other disciplines participate in the conference and present their findings. They range from the kindergarten level (to teach simple geometric objects) to the graduate level (to present very sophisticated polytopes by projecting four dimensional objects to three dimensional spaces).

The conference always has attendees who authored or are in process of writing interdisciplinary books or are developing packages for teaching undergraduate general education courses or honors classes in the connection between mathematics and art.

Bridges Organization Board of Directors President Reza Sarhangi

Department of Mathematics Towson University Maryland, USA

Secretary

Mehri Arfaei Department of Mathematics Towson University Maryland, USA

Board Members George W. Hart

Computer Science Department Stony Brook University Stony Brook, New York, USA

The conference also includes visual art, music, education, and business corporations that seek resources or individuals that can make short movies, animations, and DVDs (such as programs that can be seen on PBS)

Craig Kaplan

After years of organizing Bridges conferences, it seems necessary that a non-profit corporation should be established that not only continues the annual conference but also expands its related activities.

Computer Science Division EECS Department University of California at Berkeley California, USA

Towson University Towson, Maryland, USA Founded in 1866, Towson University is recognized among the nation’s best regional public universities, offering more than 100 bachelor’s, master’s and doctoral degree programs in the liberal arts and sciences, and applied professional fields.

Located in suburban Towson, eight miles north of Baltimore, our beautifully landscaped, 328acre setting offers a pleasant environment for study and a diverse campus life, as well as easy access to a wealth of university and community resources. Towson University’s educational experience branches out to off-campus locations throughout Maryland, including a number of online options.

With more than 21,000 students, Towson University is among the largest public universities in Maryland. As a metropolitan university, Towson combines research-based learning with practical application. Our many interdisciplinary partnerships with public and private organizations throughout Maryland provide opportunities for research, internships and jobs. Towson University is a founding member of the Coalition of Urban and Metropolitan Universities (CUMU).

The David R. Cheriton School of Computer Science University of Waterloo Canada

Carlo Séquin

July 25-29, 2012

Bridges

2012 Organizers Scientific Organizers James Paulsen

Department of Art + Design Art History, Art Education Towson University, Maryland, USA

Bridges Workshops Coordinators: Creativity and Learning

Excursion Day Coordinators

Proceedings Program Committee

William Duffy

Mara Alagic

Department of Art Towson University, Maryland, USA

Department of Curriculum and Instruction, Wichita State University Wichita, Kansas, USA

Gail Kaplan

Javier Barrallo

Department of Curriculum and Instruction Wichita State University, Kansas, USA

Reza Sarhangi

Department of Mathematics Towson University, Maryland, USA

Paul Gailiunas Newcastle, England

Department of Mathematics Towson University, Maryland, USA

Scientific Advisory Board

Gail Kaplan

Mary Kay Kirchner

Robert Bosch

Department of Mathematics Oberlin College, Oberlin, Ohio, USA

Department of Mathematics Towson University, Maryland, USA

Nahid Tootoonchi

George W. Hart

Department of Art Towson University, Maryland, USA

Craig Kaplan

Bridges Special Events Coordinators

The Museum of Mathematics New York, New York, USA David R. Cheriton School of Computer Science University of Waterloo, Canada

Steve Abbott

Experimental Theater Department of Mathematics Middlebury College, Vermont, USA

Douglas McKenna Mathemaesthetics Inc. Boulder, Colorado, USA

Kristóf Fenyvesi

Carlo H. Séquin

EECS, Computer Science Division University of California Berkeley, USA

Community Events Director Jyväskylä University, Finland

Sarah Glaz

Mathematical Poetry Department of Mathematics University of Connecticut, USA

Bridges Visual Art Exhibition

Vi Hart

Christopher Bartlett

Art Gallery Curator Towson University, Maryland, USA

Family Night Music Khan Academy Mountain View, California, USA

Anne Burns

Alexei Kolesnikov

Long Island University, New York, USA

Robert W. Fathauer

Art Exhibition Curator Tessellations, Phoenix, Arizona, USA

Nat Friedman

Department of Mathematics and Statistics University at Albany, New York, USA

James Paulsen

Alexei Kolesnikov

Department of Mathematics Towson University, Maryland, USA

Towson University University Marketing

School of Architecture The University of the Basque Country San Sebastian, Spain

Robert Bosch (Co-chair) Department of Mathematics Oberlin College Oberlin, Ohio, USA

Kelly Delp

Mathematics Department Buffalo State College New York, USA

Bart de Smit

Louise Miller

Director of Marketing

Mathematisch Instituut Universiteit Leiden The Netherlands

Rick S. Pallansch

Douglas Dunham

Director of The Design Center

Joseph L. Schuberth

Associate Director of Undergraduate Marketing

Sedonia Martin

Public Relations Manager, Arts & Culture

Erica Green

Marketing Coordinator

Nicholas Mello

Department of Computer Science University of Minnesota Duluth, Minnesota, USA

Kristóf Fenyvesi Jyväskylä University Jyväskylä, Finland

Gwen Fisher BeAd infinitum USA

Mauro Francaviglia

Marketing/PR Intern

Dipartimento di Matematica, Università di Torino, Italy

Community Events Department of Mathematics Towson University, Maryland, USA

Elizabeth Rector

Greg N. Frederickson

Marketing Assistant

Computer Sciences Purdue University, USA

Diane Luchese

Conference Website and Electronic Correspondence

Paul Gailiunas

Music Night Event Department of Music Towson University, Maryland, USA

Nathan and Amy Selikoff

Department of Art Towson University, Maryland, USA

Short Movie Festival Digital Awakening Studios Orlando, Florida, USA

Nathan Selikoff

Nahid Tootoonchi

Digital Awakening Studios Orlando, Florida, USA

Mathematics Department Dulaney High School Timonium, Maryland, USA

Mara Alagic

Community Events Department of Art Towson University, Maryland, USA

Dmitri Tymoczko

Music Night Event Department of Music Princeton University, USA

David White

Community Events Department of Theater Towson University, Maryland, USA

Craig Kaplan

David R. Cheriton School of Computer Science University of Waterloo, Canada

Nathan Selikoff

Digital Awakening Studios Orlando, Florida, USA

Newcastle, England UK

Susan Gerofsky

The Department of Curriculum Studies, University of British Columbia, Canada

Mohammad Gharipour

School of Architecture & Planning Morgan State University Baltimore, Maryland, USA

Sarah Glaz

Department of Mathematics University of Connecticut Storrs, Connecticut, USA

Chaim Goodman-Strauss Department of Mathematics University of Arkansas Fayetteville, Arkansas, USA

Gary Greenfield

Mathematics and Computer Science University of Richmond Richmond, Virginia, USA

Rachel W. Hall

Saint Joseph’s University Philadelphia, Pennsylvania, USA

George W. Hart

Stony Brook, NY, USA

Kevin Hartshorn

Mathematics and Computer Since, Moravian College Bethlehem, Pennsylvania, USA

Bridges

Towson, Maryland

Craig Kaplan

Cheriton School of Computer Science, University of Waterloo Canada

Gail Kaplan

Department of Mathematics Towson University Towson, Maryland, USA

Hooman Koliji

School of Architecture University of Maryland College Park, USA

Goran Konjevod

CS and Engineering Arizona State University Tempe, Arizona, USA

Marcella Giulia Lorenzi

Laboratorio per la Comunicazione Scientifica, Università della Calabria Italy

Peter Lu

Department of Physics Harvard University, USA

Penousal Machado

Department of Computer Science University of Coimbra, Portugal

Douglas McKenna (Co-chair) Mathemaesthetics Inc. Boulder, Colorado, USA

Michael Naylor Trondheim, Norway

Rinus Roelofs

The Foundation Passages Hengelo, the Netherlands

Reza Sarhangi

Department of Mathematics Towson University, USA

Carlo H. Séquin

Computer Science Division University of California Berkeley, California, USA

Doris Schattschneider

Mathematics and Computer Since, Moravian College Bethlehem, Pennsylvania, USA

Henry Segerman

Mathematics and Statistics University of Melbourne Australia

David Swart

Christie Waterloo, Ontario, Canada

Godfried Toussaint McGill University Montreal, PQ, Canada

Tom Verhoeff

Mathematics and CS Eindhoven University of Technology, the Netherlands

Carolyn Yackel

Mercer University Atlanta, Georgia, USA

Daylene Zielinski

Mathematics Department Bellarmine University Louisville, Kentucky, USA

Jay Zimmerman

Department of Mathematics Towson University Towson, Maryland, USA

WEDNESDAY JULY 25, 2012 Kaplan Concert Hall

CA 2032

CA 2032

SESSION I-1 · Chair: Carlo H. Séquin

SESSION I-4 · Chair: Brian Evans

SESSION I-8 · Chair: Merrill Lessley

9:30

2:30

4:30

Welcoming Remarks Bob Bosch, Craig Kaplan, George Hart, Doug McKenna, James Paulsen, Reza Sarhangi

10:00

Science, Art, Beauty, the Meaning of Life, and the James Webb Telescope John Mather

10:45

Celebrating Mathematics in Stone and Bronze: Umbilic Torus NC vs SC Helaman Ferguson and Claire Ferguson

11:30

Opening of the Art Exhibition and Reception supported by JMA and T&F

Francoise Beck-Pieterhons and Jacques Beck

2:45

Point Symmetry Patterns on a Regular Hexagonal Tessellation

3:15

3:30

5:00

Roberta La Haye

5:15

Amazing Labyrinths, Further Developments III

SESSION I-2 · Chair: Craig Kaplan

CA 3003

2:30

SESSION I-5 · Workshop

Circle patterns in Gothic Architecture Tiffany C. Inglis and Craig S. Kaplan

3:00

Sinuous Meander Patterns in Natural Coordinates David Chappell

3:30

2:30

Coffee Break 4:00-4:30

Patterned Triply Periodic Polyhedra

Kaplan Hall

Douglas Dunham

SESSION I-6 · Chair: Nils Kr. Rossing

CA 3080

4:30

SESSION I-3 · Chair: Kenneth Brecher

2:30

Meta-Vermeer: A Topological Reinterpretation of a Masterpiece Mathematical Sequential Art Susan Happersett

3:00

5:00

Fisheye View of Tessellations

3:30

Harmonic Perspective

Weaving Symmetry of the Philippine Northern Kankana-ey Nathaniel A. Baylas IV, Teofina A. Rapanut, Ma. Louise Antonette N. De las Pe˜nas

C. J. Fearnley and Jeannie Moberly

The Old Art of Rope Work and Fourier Decomposition

Domes, Zomes, and Drop City

Nils Kr. Rossing

Paul Hildebrandt and Clark Richert

3:45

Geometry and Computation of Houndstooth (Pied-de-poule) Loe M. G. Feijs

5:30

Radmila Sazdanovic

3:15

Broadening the Palette for Bobbin Lace: A Combinatorial Approach Veronika Irvine

Silvia De Toffoli and Yasuhiro Sakamoto

2:45

The Mazzocchio in Perspective Kenneth Brecher

5:45

6:00

The Art and Mathematics of Tangrams Xiaoxi Tian

6:00

Combinatorial Choreography Tom Verhoeff

Beaded Realization of Canonical P, D, and G Triply Periodic Minimal Surfaces Chern Chuang, Bih-Yaw Jin, Wei-Chi Wei, Chia-Chin Tsoo

Brian Evans

Kaplan Concert Hall

The Evolution of An Idea Inspired by 70 Charlene Morrow

5:30

Spelunking Adventure III: Close-Pack and Space-Fill Octahedral Domains To Trace a Creative Thought

Optical Minimal Art Hans Kuiper

Curtis Palmer

3:45

Tiling and Weaving with Permutation Functions Robert Hanson

Geometry and Art with a Circle Cutter

Samuel Verbiese

Digital Sangaku Jean Constant

4:45

David Reimann

3:00

Host: Craig Kaplan Lunch Break 12:30pm - 2:30pm

Diptych View on The Spiral

The Seven Principles of Angle Stitching—A Geometrically Based Beading Technique Laura Shea

6:15

Projecting Mathematical Curves with Laser Light Merrill Lessley and Paul Beale

CA 3003 SESSION I-9 · Workshop

4:30

Imagining NegativeDimensional Space Luke Wolcott and Elizabeth McTernan

Bridges 2012 Public Lecture

Picasso, Space, Time, Guernica 8:30 p.m.

CA 3080

Kaplan Concert Hall

SESSION I-7 · Chair: Sarah Glaz

This exciting public lecture will be given by Javier Barrallo, Professor of Mathematics at The University of the Basque Country in San Sebastián, Spain.

4:30

Math in Poetry: Half of a Course Marion Cohen

5:00

Art of p: Mathematical History and Literary Inspiration Tatiana Bonch-Osmolovskaya

5:30

Hierarchical Organization in Writing, Poetry, and Mathematics Russell Jay Hendel

5:45

Tune and Rhyme: Translation Symmetry at Work Alice Major

6:00

Mathematical Pattern Poetry Sarah Glaz

July 25-29, 2012

Bridges

THURSDAY JULY 26, 2012 Kaplan Concert Hall

CA 3080

CA 2032

SESSION II-1 · Chair: Henry Segerman

SESSION II-7 · Chair: Manil Suri

SESSION II-12 · Chair: Tatyana Sorokina

9:30

2:30

4:30

From M¨obius Bands to KleinKnottles Carlo H. Séquin

10:00

Polyhedra on an Equilateral Hyperboloid

Yutu Liu, Ergun Akleman, Jianer Chen

3:00

Dirk Huylebrouck

10:30

Sculptures in S3

Never-ending Storytelling with Discrete-Time Markov Processes The Creative Process: Risk-taking in an Interdisciplinary Honors Course

Saul Schleimer and Henry Segerman

Training Teachers after Bridges

SESSION II-2 · Chair: Robert J. Krawczyk

9:30

Stanley M. Max

Extension of Neo-Riemannian PLR-group to Seventh Chords

3:30

3:45

9:45

Music Synthesis Based on Nonlinear Dynamics Maximos A. Kaliakatsos-Papakostas, Andreas Floros, Michael N. Vrahatis

10:00

A Non-Pythagorean Musical Scale Based on Logarithms Robert Schneider

10:15

Balanc¸o: The Contour of Relative Offbeatness Mehmet Vurkac

10:30

Mathematics in the World of Dance

SESSION II-8 · Workshop

CA 4030 Computer Lab

Exploring the Visualization of Music Robert J. Krawczyk

Using Technology to Explore the Geometry of Navajo Weavings Mary Kay Kirchner and Reza Sarhangi

Coffee Break 4:00pm – 4:30pm

CA 3003

Kaplan Hall

SESSION II-3 · Workshop

SESSION II-10 · Chair: James Mai

9:30

4:30

A Workshop on Making Modified Truncated Icosahedra Using 4D Frame Park, Ho-Gul and Taeyoung Choi

CA 4030 Computer Lab SESSION II-4 · Workshop

9:30

Mathematical Synthesis and Making of Rope Mats and Rosettes Nils Kr. Rossing

The Experience Workshop MathArt Movement: ExperienceCentered Education of…

Kristóf Fenyvesi

5:00

Mohr or Mascheroni?

5:30

Playing with the Platonics: A New Class of Polyhedra

Elaine Ellison

Walt van Ballegooijen

6:00

Coffee Break 11:00 - 11:30am

Juan Gris’ Compositional Symmetry Transformations

CA 3080

SESSION II-5 · Chair: Doug McKenna

SESSION II-11 · Chair: Garry Greenfield

11:30

Sculpture Inspired by Connectivity in Nature

4:30

William Duffy

5:00

2:30

3:00

An Algorithm for Creating Geometric Dissection Puzzles Yahan Zhou and Rui Wang

3:30

5:30

My Parade of Algorithmic Mathematical Art Greg M. Frederickson

Bringing M. C. Escher’s Planaria to Life George Hart

Self Similar Patterns Stanley Spencer

Lunch Break 12:30pm - 2:30pm

SESSION II-6 · Chair: George Hart

The Immersive Bridge Between Math and Art John Miller

6:00

Symmetry and Bivariate Splines Tatyana Sorokina

CA 4030 SESSION II-13 · Workshop

4:30

Mathematical Eyes on Figure Skating Diana Cheng, Tanya Berezovski, Cherie Farrington

Journal of Mathematics and the Arts Editorial Board Meeting 7:00 PM Place: To be Announced By invitation – Craig Kaplan

James Mai

Kaplan Concert Hall

Kaplan Concert Hall

5:45

SESSION II-9 · Workshop

2:30

A Novel Geometric Pattern Extraction by Means of a Level-Set Method Afshin Asefpour Vakilian and Maryam Rahnemoonfar

Ana Pereira do Vale

Katarzyna Wasilewska

10:45

Musical Composition Without Standard Musical Knowledge

Crystallizing Topology in Molecular Visualizations T. Hunter, K. Marineli, D. Marsh, T. J. Peters

5:30

CA 3003 2:30

Analytical Calculation of Geodesic Lengths and Angle Measures on Sphere Tiling …

Kyongil Yoon

5:15

On the Geometry of Metafiction Manil Suri

Boris Kerkez

Using Star Polygons to Understand Cyclic Group Structure Sandy Spitzer

5:00

M. G. Margues and M. Pires

The “Golden Canon” of Book-Page Design: A Visual Presentation Using Geometer’s Sketchpad

CA 3080

D. Jacob Wildstrom

4:45

Heather Pinson and Monica VanDieren

3:15

Structural Qualities and Serial Construction of Tournament Braids

6:00

Twisted D-Forms: Design and Construction of D-Forms with Twisted Prismatic Handles …

Planetarium Show and Telescope Viewing

Nature by Numbers

Qing Xing, Gabriel Esquivel, Ergun Akleman

Thursday, July 26th, 8:00 pm, 8:40 pm, and 9:20 pm

Tiles and Patterns of a Field: From Byzantine Churches to User Interface Design

Watson-King Planetarium, Smith Hall Rm. 521

Asaf Degani, Ron Asherov, Peter J. Lu

A meditative exploration of the way in which our understanding of nature has progressed hand-inhand with understanding of number. Three shows, each followed by outdoor telescope viewing (weather permitting)

Stigmmetry Prints from Patterns of Circles Garry Greenfield

Presented by Towson University faculty members James Overduin and Alex Storrs

FRIDAY JULY 27, 2012 Bridges 2012 Excursion Day

A Day in Baltimore: Art, History, and the Chesapeake Bay A Lecture by William Noel, Curator of Manuscripts and Rare Book at the Walters Art Museum, Director of the Archimedes Palimpsest Project, Coauthor of The Archimedes Codex

SATURDAY JULY 28, 2012 Kaplan Concert Hall

CA 3003

CA 3003

SESSION III-1 · Chair: Tom Verhoeff

SESSION III-4 Workshop

SESSION III-10 · Workshop

9:30

9:30

4:00

Two-color Fractal Tilings Robert Fathauer

10:00

The Mathematical Art of Juggling: Using Mathematics to Predict, Describe and Create Mike Naylor

10:30

Mitered Fractal Trees: Constructions and Properties Tom Verhoeff and Koos Verhoeff

Andrea Hawksley Coffee Break 11:00 - 11:30am

SESSION III-5 · Chair: George Hart

11:30

Ingrid Daubechies

SESSION III-2 · Chair: B. Lynn Bodner

10:00

10:30

Polyhedral Modularity in a Special Class of Decagram Based Interlocking Star Polygons

Lunch Break 12:30pm - 2:30pm

Kaplan Concert Hall

Reza Sarhangi

SESSION III-6 Family Day Chair: Kristóf Fenyvesi

Simple Rules for Incorporating Design Art into Penrose and Fractal Tiles

2:00

CA 3003

The Topkapi Scroll’s ThirteenPointed Star Polygon Design

SESSION III-7 · Workshop

2:00

Ming Tomayko, Sandy Spitzer, Linda Cooper

From Two Dimensions to Four— and Back Again

Teaching Temari: Geometrically Embroidered Spheres in the Classroom Carolyn Yackel

SESSION III-3 · Chair: Kerry Mitchell

Escher Unraveled: Using Artwork to Investigate Transformations

CA 3005 SESSION III-8 Workshop

2:00

Let’s Make a (36)D (36)L Chiral Tessellation Dance Joseph D. Clinton

Susan McBurney

10:00

10:15

Dune Surfaces: A Spatial Visualization Technique for Medial Axes in the Plane or on the Sphere

Coffee Break 3:30pm - 4:00pm

SESSION III-9 Family Day Chair: Kristóf Fenyvesi

Images and Illusions from Orthogonal Pairs of Ellipses

4:00

The Mathematics behind Anamorphic Art Kimberly Rausch

10:45

Fun with Chaotic Orbits in the Mandelbrot Set Kerry Mitchell

Mojgan Lisar

CA 3005 SESSION III-11 · Workshop

4:00

Kolam Workshop Shanthi Chandrasekar

5:30

Bead Crochet Bracelets: What Would Escher Do? Ellie Baker and Susan Goldstine

Dinner Break 7:00pm - 8:30pm

Bridges 2012

Mime-Matics Night July 28th, 8:30pm Kaplan Concert Hall Tim and Tanya Chartier’s mime combines masks, puppetry, and classical mime illusions into a distinctive style that they have performed throughout the United States and in national and international settings.

The Chartiers have trained at Le Centre du Silence mime school, the Dell’Arte School of International Physical Theater and with the world-renowned mime artist Marcel Marceau.

Kaplan Concert Hall

Peter Calvache

Hartmut F. W. Höft

10:30

A Workshop in the Persian Art of Tazhib

Coordinators: Amy and Nathan Selikoff

CA 2032

9:45

Bridges 2010 Short Movie Festival

San Le

B. Lynn Bodner

9:30

Developing Mathematical Tools to Investigate Art

Creating Non-Systematic Islamic Geometric Patterns with Complex Combinations of Star Forms Jay Bonner

5:30

Kaplan Concert Hall

CA 3080 9:30

Exploring Braids through Dance: The “Waves of Tory” Problem

Bridges 2012 Experimental Theater Organizer: Steve Abbott

5:30

Bridges 2012 Mathematical Poetry Day Coordinator: Sarah Glaz

Informal Music Event Coordinator: Vi Hart

July 28th, 10:00pm Kaplan Concert Hall Music is always a part of every Bridges conference. As one can see from the titles of the pervious proceedings books there are always a large number of contributed sessions given over to the intricacies of music, musical styles, and rhythm with mathematics. The conference participants who are music performers, present a night of music and educate the audience about their new findings in performing music and its connections with mathematics.

Saturday July 28 — Family Day! Workshops For Families and Bridges Participants Center for the Arts 3003

Center for the Arts 3005

2:00-3:30pm

2:00-3:30

Teaching Temari: Geometrically Embroidered Spheres in the Classroom by Carolyn Yackel (Mercer University)

Let’s Make a Chiral Tessellation Dance

by Joseph D. Clinton

Maximum number of participants: 45.

This workshop will give educators and their students’ hands-on experience to understand the differences between theoretical abstraction and the reality of applying physical restraints. Each participant in the workshop will receive a modeling kit to assemble and take with her/him. The model will illustrate the physical realities of applying the mathematical principles of rotation and translation transformations of a linkage of triangles from one symmetry form to another. Each participant will also receive an animated film that will illustrate the theoretical application of the same mathematical abstractions. Maximum number of participants: 50

4:00-5:30pm

4:00-5:30pm

Creating Non-Systematic Islamic Geometric Patterns With Complex Combinations of Star Forms by Jay Bonner (Bonner Design Consultancy)

Kolam Workshop

by Shanthi Chandrasekar

This workshop introduces the various potential pedagogical benefits of using temari balls, or geometrically embroidered spheres in a mathematics class, either to craft or as objects of investigation. During this intensive workshop, participants will simultaneously learn to construct temari balls and discuss ways to utilize temari balls to enhance student understanding of a variety of mathematical concepts.

This workshop will demonstrate the design methodology employed in the creation of particularly complex Islamic non-systematic geometric patterns with differentiated regions of compound local symmetry. This variety of Islamic geometric pattern is characterized by combinations of star forms that range from the more compatible (such as 9s and 12s) to the seemingly incompatible (such as 9s and 11s, and 11s and 13s). A series of historical pattern examples, ranging in complexity, will be used to demonstrate the non-systematic use of the Polygonal Technique of geometric pattern generation; and corroborating historical evidence will be provided that confirms that the techniques being taught in this Workshop were used by Muslim artists of the past. Along with self-similar designs, this variety of geometric pattern represents the pinnacle of Islamic geometric art; yet very little has been published on this all-but-lost design methodology. The objective of this Workshop is to assist in the rekindling of this design tradition: opening the door to working with, and teaching, the more complex aspects of this ancient design discipline.

5:30-7:30pm

A Workshop in the Persian Decorative Art of Tazhib by Mojgan Lisar Tazhib (Illumination) is a classical Persian art for the decoration of treatise and books. It has an intertwining relationship with calligraphy. In the medieval Persia, a highly refined art of Tazhib developed that its tradition has continued even today. In a traditional Persian Tazhib one can find mathematical ideas and concepts such as symmetries, logarithm and Archimedean spirals, polygons and star polygons. We will use the traditional methods used in this art to create a Tazhib symbol.

Bridges

Towson, Maryland

Indian women often begin their day and sometimes also end it by drawing kolams on the ground just outside the front door. These repeating patterns, a type of Tantric Art, have been passed down from generation to generation for centuries, and symbolize the scientific and philosophical patterns innate to and infinite throughout the cosmos. Like Native American sand paintings or Buddhist mandalas, the kolams are part of the cycle of creation and destruction. The Kolam workshop will include an introduction to the art form and its mathematical significance. The participants will learn to draw basic Kolam drawings during the workshop.

5:30-7:00pm

Bead Crochet Bracelets: What Would Escher Do?

by Ellie Baker and Susan Goldstine (Department of Mathematics and Computer Science, St. Mary’s College of Maryland) In this workshop, we present bead crochet bracelets that we have designed in the style of M.C. Escher’s tessellations using a powerful new technique for extracting bracelet patterns from planar tilings. Since the craft of bead crochet is too intricate to master in one short session, we will teach participants the bead crochet stitch with large plastic beads and yarn, and allow them to create their own bead crochet patterns consisting of interlocking copies of a single shape in different colors. Participants will also receive the materials for a simple bead crochet bracelet in smaller glass seed beads so that they can practice real bracelet making after the workshop. Maximum number of participants: because of the provided materials and the necessary skill level, this workshop is limited to 12 participants of high school age or older, but younger children are welcome to observe and assist an older participant, and all conference attendees are welcome to watch.

Saturday July 28 — Family Day! Workshops For Families and Bridges Participants Center for the Arts 3080

2:00-7:00pm

Jardin Galerie’s Bridges Workshop: Modelability & Minimum Systems by John Hiigli (Jardin Children’s Art Galerie, New York City), Stephen Taylor, Stephen Metcalf

2:00-3:30pm John Hiigli’s presentation on the Synergetic Block System, followed by a demonstration of the „simplest allspace-filler” of Synergetic Geometry: the Mite. Finally children will be given the opportunity to build with Hiigli’s extensive block system of more than 576 blocks. The goal is to provide opportunities for omni-directional modeling within a system characterized by simple integral volume ratios of common solids: tetrahedron, octahedron, rhombic dodecahedron, cube octahedron, etc.

4:00-5:30pm

Stephen Metcalf, who is a sculptor from Providence, Rhode Island invites the children to build 6 strut tensegrities and assemble them into a chain that can be arched into a bridge.

5:30-6:30pm

Rhythm Necklaces: Workshop in Music and Mathematics by Stephen Taylor.

This workshop will introduce the concept of rhythm necklaces - rhythms which can be represented as polygons on a circle. These necklaces will help participants to learn about musical and mathematical concepts, including hemiola and maximal evenness, while also learning several African and Cuban syncopated rhythms.

Director of the Visual Communication Program for the Mathematics and Engineering Department of the Northern New Mexico College and is now is Consultant in Media Technology. Maximum number of participants: 12.

Center for the Arts 1003, Dance Studio Theatre

2:00-3:30pm

Math and Dance – Windmills and Tilings and Things by Karl Schaffer (Co-Artistic Director Dr. Schaffer and Mr. Stern Dance Ensemble and De Anza College) This workshop will explore integrating mathematics and dance in the classroom as well as on stage. This workshop involves several mathematical topics which will be embodied and explored by participants. These include play with circular motions, use of paper as a prop, video and rhythmic tessellations and patterns, and N-body choreographies. Participants will create, practice, and perform short dance phrases, and simultaneously explore mathematical principles and critique the work from the point of view of both the mathematics and the artistry involved.

4:00-7:00pm

Explore, Improvise, Construct, Dance! /in 3 sessions/ by Karen Kuebler (Arts Integration Specialist; Towson University – Baltimore County Public Schools) Come enjoy three different movement activities! Participants will be actively engaged in math, art, and movement. They will also have the opportunity to use a variety of props that encourage learning about shapes (2D and 3D) and structures in the environment.

4:00-4:30pm, Activity 1: Connecting Shapes

Center for the Arts 4030, Computer Lab

Participants will receive a variety of shape props in order to explore the attributes of these six basic shapes. Then, I will lead a structured improvisation that classifies and connects the shapes according to their attributes.

The activity will culminate in an entire group connected shape!

2:00-3:30pm

5:00-5:30pm, Activity 2: 3D Shape Exploration and Construction

Digital Sangaku Workshop by Jean Constant and Radmila Sazdanovic

Participants will explore building structures with a variety of 3D blocks in small groups. Participants will discuss shapes and how they fit together to form structures. The “pièce de résistance” is the opportunity to knock the structure down and start again with a different group of 3D blocks.

Theme: The arbelos. - Solve the math problem / Explore digital visualization techniques / Create your own Digital Sangaku. Sangaku were classic mathematical problems etched or painted on wooden tablets during the Edo period in Japan. Radmila Sazdanovic will guide the attendees through the mathematical issue at hand. Jean Constant will invite them to revisit the original visualization and create their own interpretation using available computer aided graphic editing tools and modern visualization techniques.

This workshop follows Jean Constant short lecture and exhibition of 3 original digital Sangaku visualization at the occasion of the conference.

More info on Sangaku at http://www.hermay.org/jconstant/wasan/ Radmila Sazdanovic is a Postdoctoral Researcher in the Department of Mathematics, University of Pennsylvania. Her mathematical research interests include knots, links and their invariants, categorification of combinatorial structures, and applied topology. Jean Constant taught digital media as Acting

6:00-6:30pm, Activity 3: Monet’s Waterlilies and Pond

After viewing a short slideshow from Monet’s Home and Garden in Giverny, France, participants will do a guided improvisation of the life cycle of a flower from seed to bloom. Then, participants will be led through a structured improvisation of Monet’s pond and create the Japanese footbridge sculpture.

In between the sessions, Karen is running different slideshows showing students doing the above activities.

July 25-29, 2012

Bridges

Saturday July 28 — Family Day! Workshops For Families and Bridges Participants Center for the Arts, Level 3, Hallways Around the Gate of Kaplan Hall

2:00-3:30pm AND 5:30-7:00pm

2:00-3:30pm

Creating Lovely Islamic Geometric Patterns With Islamic Geometric System Tiles by Jay Bonner, Amina Buhler-Allen, Marc Pelletier

Exhibit of Beautiful Icosahedra by Eve Torrence (Randolph-Macon College)

Repetitive polygonal tessellating elements were utilized as a means to create Islamic geometric patterns from as early as the tenth century. Over time, Muslim artists devised several symmetrical repetitive systems that prove highly versatile in creating a wide diversity of very beautiful geometric designs in each of the four principle pattern types: acute, median, obtuse and 2-point. Since first bringing to market these sets of these Islamic Geometric System Tiles in 2000, the authors have collaborated to create a comprehensive series of sets comprised of magnetic tiles, with printed pattern lines in each of the various pattern families. Participants in this Workshop will have the opportunity to create original geometric patterns from a wide selection of these sets. Children and adults alike are welcome.

4:00-6:00pm

Zometool Play by Paul Hildebrandt (co-inventor and current president of Zometool) Here’s a fun way for kids (and parents) to get their hands on (and wrap their minds around) a powerful mathematical tool while building big, beautiful and altogether amazing structures from 2, 3 and higher dimensions!

Do let Zometool’s brightly colored, shape-coded components fool you: even though several Nobel prizewinners “play” with Zometool (including 2011 Chemistry winner Daniel Schechtman), the point of Zometool is to have fun — the real kind of fun that we artists and mathematicians live for — learning, discovery and creation. Zometool co-inventor and current President Paul Hildebrandt will facilitate the “playshop,” i.e., give gentle guidance while trying to keep all hell from breaking loose.

4:00-7.00pm

Making Tessellated Polyhedra by Robert Fathauer Polyhedra nets printed on card stock with Escher-like designs will be available to color, cut out and score, and tape or glue to form polyhedra.

4:00-5:30pm

Quilt Fun With √2 by Elaine Krajenke Ellison Each participant will be given a two-sided tag board pattern. The mathematics of the quilt pattern will be shown on one side of the tag board. The second side will have a quilt pattern that has no color. The participant will cut colored paper or sticky felt paper patterns. The colored paper will be attached to the blank template provided. A beautiful mathematical design will be created.

Eve Torrence displays the paper models that can be created from the pages of her new book: “Cut Assemble Icosahedra: Twelve Models in White and Color”. The models are colored in a way that reveals some beautiful geometry. This geometry is interesting to professional mathematicians and yet can also be understood by children.

2:00-7:00pm

Countless challenges to brainy builders with JOVO supported by the JOVO International JOVO is a widespread and recognized construction toy that holds a multiple set of educational benefits together with play. It is also a resource for teaching Maths, 2 & 3 dimensional geometry, technology and design. JOVO is not based on specific set of constructions as its purpose is to inspire and not to predestine its use. JOVO continously challenges childrens imagination, creativity and inventivness. JOVO tries to provoke the children to find new ways and solutions. COME AND LET’S TRY THE KIT BY PLAYING TOGETHER WITH IT! 2:00-7:00pm

SAXON’s PolyUniverse Toys supported by the Poly-Universe Ltd. You may arrange the colored plastic sheets of the PolyUniverse artistic game on the table as you like them. A bigger colored figure appears in front of you when you put all the sheets down. There are various forms at the corner of the sheets with different colors and sizes. Depending on how you placed the sheets, these forms will show different figures. There will be symmetric figures, and also chaotic ones. It’s possible that some will resemble even flowers or crystals! Millions of variations and it depends on your imagination how the final picture will look like!

Center for the Arts, Level 3, Main Gate, under the BigZome Sculpture

7:00-7:30pm

Family Day Ice Cream Social!

Come celebrate the beauty of math under the BigZome sculpture at the close of Bridges Family Day. We’ll have ice cream and other refreshments, plus some wonderful Zome models by kids and parents.

Be sure to bring your camera!

Mathematical Juggling on Various Venue Juggler, mathematician, and former circus performer Mike Naylor will make random appearances with 10-minute mathematical juggling performances that demonstrate how mathematics can be found in artistic activities, and how mathematics can be used to create art.

Bridges

Towson, Maryland

Saturday July 28 — Family Day! Workshops For Families and Bridges Participants Short Movie Festival

Mime-Matics Night

Kaplan Concert Hall, Towson University 2:00-3:30pm

Kaplan Concert Hall, Towson University 8:30pm

The 3rd Annual Bridges Short Movie Festival will include a variety of juried and curated videos and short films. The program will include movies, videos and animations that have been created for educational, corporate and artistic purposes, and will provide another opportunity for you to experience innovative and integrative techniques in the fields of mathematics and art.

In 2011, those who attended the Short Movie Festival enjoyed a virtual reenactment of Escher’s Drawing Hands, a visual representation of the movement of energy in the universe, and a demonstration of the bubble sort algorithm via Hungarian folk dance, plus many more amazing works.

We hope to see you at this year’s Short Movie Festival!

Tim and Tanya Chartier’s mime combines masks, puppetry, and classical mime illusions into a distinctive style that they have performed throughout the United States and in national and international settings. The Chartiers have trained at Le Centre du Silence mime school, the Dell’Arte School of International Physical Theater and with the world-renowned mime artist Marcel Marceau. Dr. Tim Chartier is a professor of mathematics at Davidson College, North Carolina, USA. His ability to communicate math both in the classroom and through mime to the broader community. Tanya Chartier has taught theater at the middle school level and is currently an Educational Specialist for a center for academic learning in the town of Davidson and taught in the spring of 2012 in the Education Department at Davidson College. Playing with different sets of tiles related to the pentagonal family of traditional geometric patterns, and to contemporary mathematics as well.

Coordinators: Amy and Nathan Selikoff

Experimental Theater: Albert’s Bridge by Tom Stoppard Kaplan Concert Hall, Towson University 4:00-5:30pm

The Bridges Community Players Present: Albert’s Bridge by Tom Stoppard.

Regarded as one of the leading playwrights of our time, Tom Stoppard was from the beginning interested in incorporating mathematical and scientific ideas into his creative work. Twenty-five years before Arcadia, and just before Rosencrantz and Guildenstern Are Dead launched Stoppard into the limelight, the self-educated writer of ideas penned this fascinating one act tragic-comedy for radio. With their trademark verve and panache, the Bridges tragedians will bring Albert and his fellow bridge painters to life — not simply as a radio play, but in their full three dimensional glory.

Directed by: Steve Abbott (Middlebury College)

An Afternoon of Mathematical Poetry Kaplan Concert Hall, Towson University 5:30-7:30pm

“Newton’s binomial is as beautiful as Venus de Milo. What happens is that few people notice it.” (Fernando Pessoa [as Álvaro de Campos], translated from the Portuguese by Francisco Craveiro) Representing a range of mathematical poetry from traditional to multimedia and from lyrical to visual, ten poets will read selections from their work: Stephanie Strickland, Kaz Maslanka, Alice Major, Geof Huth, Philip Holmes, JoAnne Growney, Emily Grosholz, Marion Deutsche Cohen, Tatiana BonchOsmolovskaya and Sarah Glaz Open microphone reading: There will be an open microphone period at the end of the reading where Bridges participants may read their mathematical poems. If you are interested to read one of your poems in the open mic period please contact Sarah Glaz at: SarahDGlaz@gmail.com Coordinator: Sarah Glaz (University of Connecticut)

Informal Music Event Kaplan Concert Hall, Towson University 10:00pm

Music is always a part of every Bridges conference. As one can see from the titles of the pervious proceedings books there are always a large number of contributed sessions given over to the intricacies of music, musical styles, and rhythm with mathematics. The conference participants who are music performers, present a night of music and educate the audience about their new findings in performing music and its connections with mathematics.

Coordinator: Vi Hart

Bridges Of The World!

Jardin Galerie’s Children and Youth Art Exhibit at Towson University‘s Center for the Arts Curated by John Arden Hiigli, founder-president of Jardin Galerie & Kristóf Fenyvesi, Director of Community Events, Bridges Organization

We are organizing a special “Children & Youth Exhibit” Bridges of the World, to be held July 28, 2012, in Baltimore, Maryland at Towson University’s Center for the Arts (Level 3, Hallways Around the Gate of Kaplan Hall). It will be a screened exhibition at Towson as part of the Family Day Celebration for students and young artists.

In addition there will be an online exhibition at Jardin Galerie’s Facebook page.

Artists ages 4-18 years are invited to submit for exhibition a drawing or painting of a real bridge, drawn or painted en plein air. Submitted artwork will be judged by a jury composed of representatives of Bridges and of Jardin Galerie. We will attempt to show all work submitted. If this is not possible the judges will make a selection of “best examples” to be exhibited on a large screen at Towson during Family Day. Prizes will be awarded at Bridges 2012 for the “top three” works of art and the “best bridge” of the ”Children & Youth Exhibit.”

July 25-29, 2012

Bridges

SUNDAY, JULY 29, 2012 Kaplan Concert Hall

CA 2032

CA 2032

SESSION IV-1 · Chair: Bob Bosch

SESSION IV-4 · Chair: Alexander Munson

SESSION IV-7 · Chair: Paul Gailiunas

9:30

The Color Symmetries of the Solstices: Ritual Sandals from the Prehistoric American Southwest

2:30

4:30

Dorothy Washburn and Donald Crowe

2:45

10:15

Suzanne Keilson

Commissioning a Bridge Brent Collins

Coffee Break 11:00am - 11:30am

11:30

Lunch Break 12:30pm - 2:30pm

SESSION IV-2 · Chair: Jay Bonner

2:30

A 7-Fold System for Creating Islamic Geometric Patterns Part 1: Historical Antecedents Jay Bonner and Marc Pelletier

3:00

A 7-Fold System for Creating Islamic Geometric Patterns Part 2: Contemporary Expression Marc Pelletier and Jay Bonner

3:30

Moorish Fretwork Revisited Paul Tucker

CA 3080 Generating Chinese Knots from Arbitrary Shapes Andrew Lee and Brandon Wang

2:45

Building the Schwarz D-Surface from Paper Tiles Stephen Luecking

3:00

3:30

2:30

A Topology-Preserving Voxelization Shrinking Algorithm

Evolve Your Own Basket

The MathStudio Pendulum Project Pau Atela

Intersecting Helices Paul Gailiunas

CA 3005 SESSION IV-8 · Workshop

4:30

Poetry-with-Mathematics Workshop JoAnne Growney

Bridges 2012

CA 3080

Music Night

4:30 5:00

Art of the Quantum Moment

Kaplan Concert Hall

Knots as Processes in Art and Mathematics

Coordinator: Dmitri Tymoczko

Mathematics and the Ballet Barre Karl Schaffer

5:45

Depression Glass and Nested Symmetry Groups Darrah Chavey

Models of Stellations of the Icosahedron Portraits of Groups in Three Dimensions Jay Zimmerman and Kevin Zimmerman

Towson, Maryland

8:30 pm

Robert P. Crease and Alfred S. Goldhaber

Bojana Ginn

5:30

Exploring the Projective Plane via Variations on the Faceted Octahedron

Bridges

5:45

Karl Kattchee

Coffee Break 4:00pm - 4:30pm

Eve Torrence

3:45

Symplectic Toric Varieties — the Tale behind the Logo of the 2012 Bridges Conference

Rotate, Reflect, Recycle

James Mallos

Franklin Gould and S. Louise Gould

3:30

5:30

SESSION IV-5 Workshop

Daniel Whalen

3:15

Steve Gimbel

CA 3003

Brand Values and the Perception of Symmetry J. L. Marsden and B. G. Thomas

5:15

Alexander Munson

Steps Towards the Analysis of Geometric Decorative Motifs Using Shape-matching Techniques Alice Humphrey and Michael Hann

5:00

Einstein’s Jewish Science: Physics at the Intersection of Politics and Religion

SESSION IV-6 · Chair: Darrah Chavey

SESSION IV-3 · Chair: Jay Zimmerman

2:30

A Brief Essay on Witkin & Symmetry

A Mathematica GUI for Generating Conway Tiles Bruce Torrence

4:45

Ferhan Kızıltepe

3:15

Kaplan Concert Hall

Using Celtic Artwork to Introduce Elementary Knot theory in a Secondary Education Classroom Aaron Chotikul

3:00

Splitting Tilings Rinus Roelofs

Curricular Outline for a Numeracy Course

2012 Speakers / Coordinators

John Cromwell Mather • Astrophysicist, Cosmologist, and winner of the 2006 Nobel Prize in Physics for his work on the Cosmic Background Explorer satellite (COBE) with George Smoot • Primarily responsible for the experiment that revealed the blackbody form of the microwave background radiation measured by COBE • His work confirmed the big bang theory to extraordinary accuracy • Senior Astrophysicist at NASA Goddard Space Flight Center in Maryland

Helaman Ferguson

William F. Duffy

• Helaman Ferguson’s mathematical sculptures in stone and bronze celebrate ancient and modern mathematics, integrating the universal languages of art, engineering, science and sculpture, computing, mathematics • Helaman’s commissioned sculpture is found in institutions worldwide • Helaman’s PSLQ algorithm was listed as one of the top ten in the 20th century • His current sculpture studio is in Baltimore, Maryland • Claire and Helaman Ferguson together received the Joint Policy Board for Mathematics 2002 Communication Award

• Duffy has been a professional sculptor for over 35 years, known for his large public and private art sculpture compositions.

Currently, he maintains a working studio in Baltimore, MD • Duffy’s sculptures are integrated into natural environments, he has collaborated with renowned landscape architects including late Wolfgang Oehme and late Kay Wagenknecht-Harte • Duffy has been in the forefront in the foundry industry casting high temperature metals for over thirty years; has been a consultant for the CAD-CAM industry and has taught 3D computational graphics and is presently an adjunct faculty at Towson University

Ingrid Daubechies • James B. Duke Professor of Mathematics at Duke University • The first woman president of the International Mathematical Union, host of the International Congress of Mathematicians (2011-2014) • The first woman to receive the National Academy of Sciences Award for her fundamental discoveries on wavelets and wavelet expansions • Co-recipient of the Pioneer Prize from the International Council for Industrial and Applied Mathematics (ICIAM/SIAM), with Heinz Engl

Robert Bosch William Noel • Curator of Manuscripts and Rare Books at the Walters Art Museum • Director of the Archimedes Palimpsest Project • Coauthor of The Archimedes Codex • Faculty member of the Rare Book School of the University of Virginia

• Professor of Mathematics, Oberlin College, Ohio • Award-winning artist and author • Uses mathematical optimization techniques to create visual artwork (domino mosaics, TSP art, map-colored mosaics, and labyrinths) • Co-chair of the Bridges 2012 Proceedings Program Committee

July 25-29, 2012

Bridges

2012 Speakers / Coordinators

Douglas M. McKenna • Award-winning software developer and mathematical artist • President, Mathemaesthetics, Inc., Boulder, Colorado, USA • Co-chair of the Bridges 2012 Proceedings Program Committee • Expert on combinatorics of space-filling curve constructions • At IBM Research, helped illustrate Mandelbrot’s The Fractal Geometry of Nature

George W. Hart

Craig S. Kaplan

• Chief of Content at The Museum of Mathematics, New York, USA • The North America’s only museum dedicated to the wonders of mathematics • Former Computer Scientist at MIT Lincoln Laboratory and MIT Energy Laboratory • Former Computer Science Professor at Columbia University, and Stony Brook University • A sculptor and a pioneer in using computer technology and solid freeform fabrication in the design and fabrication of sculpture

• Mathematical Art Software Developer in Maze Design, Star Patterns, Escherization, Patterns on surfaces, TSP Art, Metamorphoses and Deformations • Associate Editor of the Journal of Mathematics and the Arts • Computer Science Professor, University of Waterloo, Canada

Robert Fathauer

Carlo H. Séquin • Professor of Computer Science and Geometric Sculptor • EECS Department, University of California, Berkeley, USA • Fellow, IEEE and ACM; Member, Swiss Academy of Engineering Sciences

Bridges

Dmitri Tymoczko • Composer and Music Theorist • His article “The Geometry of Musical Chords” was the first music theory article ever published by Science • Recipient of Guggenheim Fellowship, Charles Ives Scholarship, Hugh F. MacColl Prize from Harvard University, and the Eisner & Delorenzo Prize from the UC, Berkeley • Princeton University, New Jersey, USA

Towson, Maryland

• Curator of Annual Art Exhibitions at Bridges and the Joint Mathematics Meetings • Former Research Scientist and Technical Group Leader (PhD in EE, Cornell) of the Advanced Materials Group at the Jet Propulsion Laboratory, Pasadena, California • Founder and owner of the Tessellations Company • Artist, Puzzle Designer, and Author concentrating on Tiling, Fractals, and Knots

2012 Speakers / Coordinators

Sarah Glaz Kristóf Fenyvesi • Coordinator of Community Events of the Bridges Organization • Curator of the Experience Bridges Traveling Exhibit - a growing collection of international math-art • Curator in Chief of Ars Geometrica International Conferences which hosted the Bridges World Conference in 2010 • Leader of the Experience Workshop: the Experience-Centered Math-Art Movement • Researcher at Art and Culture Studies, Jyväskylä University, Finland

• Professor of Mathematics and poet, University of Connecticut • Author of the book “Commutative Coherent Rings”, Springer,1989 (reprinted in 2007) • Coeditor of the volumes: “NonNoetherian Commutative Ring Theory” (Springer - Kluwer, 2000), “Multiplicative Ideal Theory in Commutative Algebra” (Springer, 2006), and “Strange Attractors: Poems of Love and Mathematics” (CRC Press - A K Peters, 2008) • Editorial board member of: International Electronic Journal of Algebra (IEJA), and Journal of Mathematics and the Arts (JMA) • University Teaching Fellow

Nathan Selikoff • Award-winning artist who has exhibited in galleries and venues throughout the United States and around the world • Graphic and web designer and developer from Orlando, Florida • Bridges Webmaster and Co-editor of the Art Exhibition Catalog Steve Abbott • Professor of Mathematics, Middlebury College • Co-editor of Math Horizons • Author of Understanding Analysis, Springer UTM series • Currently researching the intersections of Mathematics and Theater

Reza Sarhangi • Mathematics Professor, Towson University, Maryland, USA • President of the Bridges Organization Mathematical Connections in Art, Music, and Science

July 25-29, 2012

Bridges