Bridges Towson 2012 FAMILY DAY & MATH-ART EXPO

BridgesTOWSON 2012

Mathematics, Music, Art,

Architecture, Culture

July 25-29, 2012

Towson University Towson, Maryland, USAFounded in 1866, Towson University is recog-nized 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 profes-sional fields.

Located in suburban Towson, eight miles north of Baltimore, our beautifully landscaped, 328-acre 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 Uni-versity is among the largest public universities in Maryland. As a metropolitan university, Towson combines research-based learning with practical application. Our many interdisciplinary partner-ships 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).

IntroductionThe International annual conference of Bridges: Mathematical Connections in Art, Music, and Sci-ence 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 com-ponents 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 Confer-ence 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, South-western 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 manipu-lative 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 develop-ing packages for teaching undergraduate general educa-tion courses or honors classes in the connection between mathematics and art.

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)

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

Bridges Organization Board of Directors

President

Reza SarhangiDepartment of Mathematics Towson University Maryland, USA

SecretaryMehri Arfaei Department of Mathematics Towson University Maryland, USA

Board Members

George W. HartComputer Science Department Stony Brook University Stony Brook, New York, USA

Craig KaplanThe David R. Cheriton School of Computer Science University of Waterloo Canada

Carlo SéquinComputer Science Division EECS Department University of California at Berkeley California, USA

July 25-29, 2012 Bridges

2012 Organizers

Scientific Organizers

James PaulsenDepartment of Art + DesignArt History, Art EducationTowson University, Maryland, USA

Reza SarhangiDepartment of MathematicsTowson University, Maryland, USA

Scientific Advisory Board

Robert BoschDepartment of MathematicsOberlin College, Oberlin, Ohio, USA

George W. HartThe Museum of MathematicsNew York, New York, USA

Craig KaplanDavid R. Cheriton School of Computer ScienceUniversity of Waterloo, Canada

Douglas McKennaMathemaesthetics Inc.Boulder, Colorado, USA

Carlo H. SéquinEECS, Computer Science DivisionUniversity of California Berkeley, USA

Bridges Visual Art Exhibition

Christopher BartlettArt Gallery CuratorTowson University, Maryland, USA

Anne BurnsLong Island University, New York, USA

Robert W. FathauerArt Exhibition CuratorTessellations, Phoenix, Arizona, USA

Nat FriedmanDepartment of Mathematics and StatisticsUniversity at Albany, New York, USA

James PaulsenDepartment of ArtTowson University, Maryland, USA

Nathan SelikoffDigital Awakening StudiosOrlando, Florida, USA

Bridges Workshops Coordinators: Creativity and Learning

Mara AlagicDepartment of Curriculum and InstructionWichita State University, Kansas, USA

Paul GailiunasNewcastle, England

Gail KaplanDepartment of MathematicsTowson University, Maryland, USA

Nahid TootoonchiDepartment of ArtTowson University, Maryland, USA

Bridges Special Events Coordinators

Steve AbbottExperimental TheaterDepartment of MathematicsMiddlebury College, Vermont, USA

Kristóf FenyvesiCommunity Events DirectorJyväskylä University, Finland

Sarah GlazMathematical PoetryDepartment of MathematicsUniversity of Connecticut, USA

Vi HartFamily Night MusicKhan AcademyMountain View, California, USA

Alexei KolesnikovCommunity EventsDepartment of MathematicsTowson University, Maryland, USA

Diane LucheseMusic Night EventDepartment of MusicTowson University, Maryland, USA

Nathan and Amy SelikoffShort Movie FestivalDigital Awakening StudiosOrlando, Florida, USA

Nahid TootoonchiCommunity EventsDepartment of ArtTowson University, Maryland, USA

Dmitri TymoczkoMusic Night EventDepartment of MusicPrinceton University, USA

David WhiteCommunity EventsDepartment of TheaterTowson University, Maryland, USA

Excursion Day Coordinators

William DuffyDepartment of ArtTowson University, Maryland, USA

Gail KaplanDepartment of MathematicsTowson University, Maryland, USA

Mary Kay KirchnerMathematics DepartmentDulaney High SchoolTimonium, Maryland, USA

Alexei KolesnikovDepartment of MathematicsTowson University, Maryland, USA

Towson University University Marketing

Louise MillerDirector of Marketing

Rick S. PallanschDirector of The Design Center

Joseph L. SchuberthAssociate Director of Undergraduate Marketing

Sedonia MartinPublic Relations Manager, Arts & Culture

Erica GreenMarketing Coordinator

Nicholas MelloMarketing/PR Intern

Elizabeth RectorMarketing Assistant

Conference Website and Electronic Correspondence

Craig KaplanDavid R. Cheriton School of Computer ScienceUniversity of Waterloo, Canada

Nathan SelikoffDigital Awakening StudiosOrlando, Florida, USA

Proceedings Program Committee

Mara AlagicDepartment of Curriculum and Instruc-tion, Wichita State UniversityWichita, Kansas, USA

Javier BarralloSchool of ArchitectureThe University of the Basque Country San Sebastian, Spain

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

Kelly DelpMathematics DepartmentBuffalo State CollegeNew York, USA

Bart de SmitMathematisch Instituut Universiteit LeidenThe Netherlands

Douglas DunhamDepartment of Computer ScienceUniversity of MinnesotaDuluth, Minnesota, USA

Kristóf FenyvesiJyväskylä UniversityJyväskylä, Finland

Gwen Fisher BeAd infinitumUSA

Mauro FrancavigliaDipartimento di Matematica,Università di Torino, Italy

Greg N. FredericksonComputer SciencesPurdue University, USA

Paul GailiunasNewcastle, EnglandUK

Susan GerofskyThe Department of Curriculum Studies, University of British Columbia, Canada

Mohammad GharipourSchool of Architecture & PlanningMorgan State UniversityBaltimore, Maryland, USA

Sarah GlazDepartment of MathematicsUniversity of ConnecticutStorrs, Connecticut, USA

Chaim Goodman-StraussDepartment of MathematicsUniversity of ArkansasFayetteville, Arkansas, USA

Gary GreenfieldMathematics and Computer ScienceUniversity of RichmondRichmond, Virginia, USA

Rachel W. HallSaint Joseph’s UniversityPhiladelphia, Pennsylvania, USA

George W. HartStony Brook, NY, USA

Kevin HartshornMathematics and ComputerSince, Moravian CollegeBethlehem, Pennsylvania, USA

Craig Kaplan Cheriton School of Computer Science, University of Waterloo Canada

Gail KaplanDepartment of MathematicsTowson UniversityTowson, Maryland, USA

Hooman KolijiSchool of ArchitectureUniversity of MarylandCollege Park, USA

Goran KonjevodCS and EngineeringArizona State UniversityTempe, Arizona, USA

Marcella Giulia LorenziLaboratorio per la Comunicazione Scientifica, Università della CalabriaItaly

Peter LuDepartment of Physics Harvard University, USA

Penousal MachadoDepartment of Computer Science University of Coimbra, Portugal

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

Michael NaylorTrondheim, Norway

Rinus Roelofs The Foundation Passages Hengelo, the Netherlands

Reza SarhangiDepartment of MathematicsTowson University, USA

Carlo H. SéquinComputer Science DivisionUniversity of CaliforniaBerkeley, California, USA

Doris SchattschneiderMathematics and ComputerSince, Moravian CollegeBethlehem, Pennsylvania, USA

Henry Segerman Mathematics and StatisticsUniversity of MelbourneAustralia

David SwartChristieWaterloo, Ontario, Canada

Godfried ToussaintMcGill UniversityMontreal, PQ, Canada

Tom VerhoeffMathematics and CSEindhoven University ofTechnology, the Netherlands

Carolyn YackelMercer UniversityAtlanta, Georgia, USA

Daylene ZielinskiMathematics DepartmentBellarmine UniversityLouisville, Kentucky, USA

Jay ZimmermanDepartment of MathematicsTowson UniversityTowson, Maryland, USA

Bridges Towson, Maryland

WeDnesDaY JULY 25, 2012Kaplan ConCert HallSESSION I-1 · Chair: Carlo H. Séquin

9:30 Welcoming RemarksBob Bosch, Craig Kaplan, George Hart, Doug McKenna, James Paulsen, Reza Sarhangi

10:00 Science, Art, Beauty, the Meaning of Life, and the James Webb TelescopeJohn 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&FHost: Craig Kaplan

lunCH BreaK 12:30pm - 2:30pm

Kaplan ConCert HallSESSION I-2 · Chair: Craig Kaplan

2:30 Circle patterns in Gothic Architecture Tiffany C. Inglis and Craig S. Kaplan

3:00 Sinuous Meander Patterns in Natural Coordinates David Chappell

3:30 Patterned Triply Periodic PolyhedraDouglas Dunham

Ca 3080SESSION I-3 · Chair: Kenneth Brecher

2:30 Meta-Vermeer: A Topological Reinterpretation of a MasterpieceSilvia De Toffoli and Yasuhiro Sakamoto

2:45 Mathematical Sequential ArtSusan Happersett

3:00 Fisheye View of TessellationsRadmila Sazdanovic

3:15 Harmonic PerspectiveC. J. Fearnley and Jeannie Moberly

3:30 Domes, Zomes, and Drop CityPaul Hildebrandt and Clark Richert

3:45 The Mazzocchio in PerspectiveKenneth Brecher

Ca 2032SESSION I-4 · Chair: Brian Evans

2:30 Diptych View on The Spiral Francoise Beck-Pieterhons and Jacques Beck

2:45 Point Symmetry Patterns on a Regular Hexagonal TessellationDavid Reimann

3:00 Geometry and Art with a Circle Cutter Roberta La Haye

3:15 Amazing Labyrinths, Further Developments IIISamuel Verbiese

3:30 Spelunking Adventure III: Close-Pack and Space-Fill Octahedral DomainsCurtis Palmer

3:45 To Trace a Creative ThoughtBrian Evans

Ca 3003SESSION I-5 · Workshop

2:30 Combinatorial ChoreographyTom Verhoeff

Coffee BreaK 4:00-4:30

Kaplan HallSESSION I-6 · Chair: Nils Kr. Rossing

4:30 Broadening the Palette for Bobbin Lace: A Combinatorial ApproachVeronika Irvine

5:00 Geometry and Computation of Houndstooth (Pied-de-poule)Loe M. G. Feijs

5:30 Weaving Symmetry of the Philippine Northern Kankana-ey Nathaniel A. Baylas IV, Teofina A. Rapanut, Ma. Louise Antonette N. De las Pe˜nas

6:00 The Old Art of Rope Work and Fourier DecompositionNils Kr. Rossing

Ca 3080SESSION I-7 · Chair: Sarah Glaz

4:30 Math in Poetry: Half of a CourseMarion Cohen

5:00 Art of p: Mathematical History and Literary InspirationTatiana Bonch-Osmolovskaya

5:30 Hierarchical Organization in Writing, Poetry, and MathematicsRussell Jay Hendel

5:45 Tune and Rhyme: Translation Symmetry at WorkAlice Major

6:00 Mathematical Pattern PoetrySarah Glaz

Ca 2032SESSION I-8 · Chair: Merrill Lessley

4:30 Digital Sangaku Jean Constant

4:45 Tiling and Weaving with Permutation FunctionsRobert Hanson

5:00 Optical Minimal ArtHans Kuiper

5:15 The Evolution of An Idea Inspired by 70Charlene Morrow

5:30 Beaded Realization of Canonical P, D, and G Triply Periodic Minimal SurfacesChern Chuang, Bih-Yaw Jin, Wei-Chi Wei, Chia-Chin Tsoo

5:45 The Art and Mathematics of Tangrams Xiaoxi Tian

6:00 The Seven Principles of Angle Stitching—A Geometrically Based Beading TechniqueLaura Shea

6:15 Projecting Mathematical Curves with Laser LightMerrill Lessley and Paul Beale

Ca 3003SESSION I-9 · Workshop

4:30 Imagining Negative- Dimensional Space Luke Wolcott and Elizabeth McTernan

Bridges 2012 puBliC leCture

Picasso, Space, Time, Guernica8:30 p.m. Kaplan ConCert Hall

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


THUrsDaY JULY 26, 2012Kaplan ConCert HallSESSION II-1 · Chair: Henry Segerman

9:30 From M¨obius Bands to Klein-KnottlesCarlo H. Séquin

10:00 Polyhedra on an Equilateral Hyperboloid Dirk Huylebrouck

10:30 Sculptures in S3 Saul Schleimer and Henry Segerman

Ca 3080SESSION II-2 · Chair: Robert J. Krawczyk

9:30 Extension of Neo-Riemannian PLR-group to Seventh ChordsBoris Kerkez

9:45 Music Synthesis Based on Nonlinear DynamicsMaximos A. Kaliakatsos-Papakostas, Andreas Floros, Michael N. Vrahatis

10:00 A Non-Pythagorean Musical Scale Based on LogarithmsRobert Schneider

10:15 Balanc¸o: The Contour of Relative Offbeatness Mehmet Vurkac

10:30 Mathematics in the World of DanceKatarzyna Wasilewska

10:45 Exploring the Visualization of Music Robert J. Krawczyk

Ca 3003SESSION II-3 · Workshop

9:30 A Workshop on Making Modified Truncated Icosahedra Using 4D FramePark, Ho-Gul and Taeyoung Choi

Ca 4030 Computer laBSESSION II-4 · Workshop

9:30 Mathematical Synthesis and Making of Rope Mats and RosettesNils Kr. Rossing

Coffee BreaK 11:00 - 11:30am

Kaplan ConCert HallSESSION II-5 · Chair: Doug McKenna

11:30 Sculpture Inspired by Connectivity in NatureWilliam Duffy


Kaplan ConCert HallSESSION II-6 · Chair: George Hart

2:30 My Parade of Algorithmic Mathematical ArtGreg M. Frederickson

3:00 An Algorithm for Creating Geometric Dissection PuzzlesYahan Zhou and Rui Wang

3:30 Bringing M. C. Escher’s Planaria to Life George Hart

Ca 3080SESSION II-7 · Chair: Manil Suri

2:30 Never-ending Storytelling with Discrete-Time Markov ProcessesYutu Liu, Ergun Akleman, Jianer Chen

3:00 The Creative Process: Risk-taking in an Interdisciplinary Honors CourseHeather Pinson and Monica VanDieren

3:15 Training Teachers after BridgesM. G. Margues and M. Pires

3:30 The “Golden Canon” of Book-Page Design: A Visual Presentation Using Geometer’s SketchpadStanley M. Max

3:45 On the Geometry of MetafictionManil Suri


2:30 Musical Composition Without Standard Musical KnowledgeAna Pereira do Vale

Ca 4030 Computer laBSESSION II-9 · Workshop

2:30 Using Technology to Explore the Geometry of Navajo WeavingsMary Kay Kirchner and Reza Sarhangi

Coffee BreaK 4:00pm – 4:30pm

Kaplan HallSESSION II-10 · Chair: James Mai

4:30 The Experience Workshop MathArt Movement: Experience-Centered Education of…Kristóf Fenyvesi

5:00 Mohr or Mascheroni? Elaine Ellison

5:30 Playing with the Platonics: A New Class of PolyhedraWalt van Ballegooijen

6:00 Juan Gris’ Compositional Symmetry TransformationsJames Mai

Ca 3080SESSION II-11 · Chair: Garry Greenfield

4:30 Self Similar PatternsStanley Spencer

5:00 Twisted D-Forms: Design and Construction of D-Forms with Twisted Prismatic Handles …Qing Xing, Gabriel Esquivel, Ergun Akleman

5:30 Tiles and Patterns of a Field: From Byzantine Churches to User Interface Design Asaf Degani, Ron Asherov, Peter J. Lu

6:00 Stigmmetry Prints from Patterns of CirclesGarry Greenfield

Ca 2032SESSION II-12 · Chair: Tatyana Sorokina

4:30 Structural Qualities and Serial Construction of Tournament BraidsD. Jacob Wildstrom

4:45 Using Star Polygons to Understand Cyclic Group StructureSandy Spitzer

5:00 Analytical Calculation of Geodesic Lengths and Angle Measures on Sphere Tiling …Kyongil Yoon

5:15 Crystallizing Topology in Molecular VisualizationsT. Hunter, K. Marineli, D. Marsh, T. J. Peters

5:30 A Novel Geometric Pattern Extraction by Means of a Level-Set MethodAfshin Asefpour Vakilian and Maryam Rahn-emoonfar

5:45 The Immersive Bridge Between Math and ArtJohn Miller

6:00 Symmetry and Bivariate SplinesTatyana Sorokina


4:30 Mathematical Eyes on Figure Skating Diana Cheng, Tanya Berezovski, Cherie Farrington

Journal of matHematiCs and tHe arts editorial Board meeting

7:00 PMplaCe: to Be announCed

By invitation – Craig Kaplan

planetarium sHow and telesCope Viewing

Nature by NumbersThursday, July 26th, 8:00 pm, 8:40 pm, and 9:20 pmwatson-King planetarium, smitH Hall rm. 521

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

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 BayA 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, 2012Kaplan ConCert HallSESSION III-1 · Chair: Tom Verhoeff

9:30 Two-color Fractal TilingsRobert Fathauer

10:00 The Mathematical Art of Juggling: Using Mathematics to Predict, Describe and CreateMike Naylor

10:30 Mitered Fractal Trees: Constructions and PropertiesTom Verhoeff and Koos Verhoeff

Ca 3080SESSION III-2 · Chair: B. Lynn Bodner

9:30 Polyhedral Modularity in a Special Class of Decagram Based Interlocking Star PolygonsReza Sarhangi

10:00 Simple Rules for Incorporating Design Art into Penrose and Fractal TilesSan Le

10:30 The Topkapi Scroll’s Thirteen-Pointed Star Polygon DesignB. Lynn Bodner

Ca 2032SESSION III-3 · Chair: Kerry Mitchell

9:30 Escher Unraveled: Using Artwork to Investigate TransformationsMing Tomayko, Sandy Spitzer, Linda Cooper

9:45 From Two Dimensions to Four— and Back AgainSusan McBurney

10:00 Dune Surfaces: A Spatial Visualization Technique for Medial Axes in the Plane or on the Sphere Peter Calvache

10:15 Images and Illusions from Orthogonal Pairs of EllipsesHartmut F. W. Höft

10:30 The Mathematics behind Anamorphic Art Kimberly Rausch

10:45 Fun with Chaotic Orbits in the Mandelbrot SetKerry Mitchell

Ca 3003SESSION III-4 Workshop

9:30 Exploring Braids through Dance: The “Waves of Tory” ProblemAndrea Hawksley

Coffee BreaK 11:00 - 11:30am

Kaplan ConCert HallSESSION III-5 · Chair: George Hart

11:30 Developing Mathematical Tools to Investigate ArtIngrid Daubechies


Kaplan ConCert HallSESSION III-6 Family Day Chair: Kristóf Fenyvesi

2:00 Bridges 2010 Short Movie FestivalCoordinators: Amy and Nathan Selikoff

Ca 3003SESSION III-7 · Workshop

2:00 Teaching Temari: Geometrically Embroidered Spheres in the ClassroomCarolyn Yackel

Ca 3005SESSION III-8 Workshop

2:00 Let’s Make a (36)D (36)L Chiral Tessellation Dance Joseph D. Clinton

Coffee BreaK 3:30pm - 4:00pm

Kaplan ConCert HallSESSION III-9 Family Day Chair: Kristóf Fenyvesi

4:00 Bridges 2012 Experimental TheaterOrganizer: Steve Abbott

5:30 Bridges 2012 Mathematical Poetry DayCoordinator: Sarah Glaz


4:00 Creating Non-Systematic Islamic Geometric Patterns with Complex Combinations of Star FormsJay Bonner

5:30 A Workshop in the Persian Art of TazhibMojgan Lisar


4:00 Kolam WorkshopShanthi 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 NightJuly 28th, 8:30pmKaplan 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.

Informal Music EventCoordinator: Vi Hart

July 28th, 10:00pmKaplan ConCert Hall

Music is always a part of every Bridges confer-ence. 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 math-ematics. 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

2:00-3:30pm

Teaching Temari: Geometrically Embroidered Spheres in the Classroom by Carolyn Yackel (Mercer University)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 simultane-ously learn to construct temari balls and discuss ways to utilize temari balls to enhance student understanding of a variety of mathematical concepts.

Maximum number of participants: 45.

4:00-5:30pm

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


2:00-3:30

Let’s Make a Chiral Tessellation Dance by Joseph D. ClintonThis 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 partici-pant 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 math-ematical 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

Kolam Workshop by Shanthi Chandrasekar 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 work-shop 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 partici-pants 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 neces-sary 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.




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

2:00-3:30pmJohn 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 op-portunities for omni-directional modeling within a system characterized by simple integral volume ratios of common solids: tetrahedron, octahedron, rhombic dodecahedron, cube octahedron, etc.

4:00-5:30pmStephen 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.

5:30-6:30pmRhythm 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.

Center for tHe arts 4030, Computer laB

2:00-3:30pm

Digital Sangaku Workshop by Jean Constant and Radmila SazdanovicTheme: The arbelos. - Solve the math problem / Explore digital visualiza-tion 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 Mathemat-ics, 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

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 tes-sellations 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 ShapesParticipants will receive a variety of shape props in order to explore the attributes of these six basic shapes. Then, I will lead a structured improvisa-tion that classifies and connects the shapes according to their attributes. The activity will culminate in an entire group connected shape!

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

6:00-6:30pm, Activity 3: Monet’s Waterlilies and PondAfter 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 struc-tured 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.



Center for tHe arts, leVel 3, Hallways around tHe gate of Kaplan Hall

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

Creating Lovely Islamic Geometric Patterns With Islamic Geometric System Tiles by Jay Bonner, Amina Buhler-Allen, Marc PelletierRepetitive polygonal tessellating elements were utilized as a means to cre-ate 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 de-signs 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 comprehen-sive 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, beau-tiful 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 FathauerPolyhedra nets printed on card stock with Escher-like designs will be avail-able to color, cut out and score, and tape or glue to form polyhedra.

4:00-5:30pm

Quilt Fun With √2 by Elaine Krajenke EllisonEach participant will be given a two-sided tag board pattern. The math-ematics 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.

2:00-3:30pm

Exhibit of Beautiful Icosahedra by Eve Torrence (Randolph-Macon College)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 InternationalJOVO 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 imagina-tion, 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.



Short Movie FestivalKaplan Concert Hall, Towson University 2:00-3:30pm

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!Coordinators: Amy and Nathan Selikoff

Experimental Theater: Albert’s Bridge by Tom StoppardKaplan 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 PoetryKaplan 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 multime-dia 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 Bonch-Osmolovskaya 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 mathemati-cal poems. If you are interested to read one of your poems in the open mic period please contact Sarah Glaz at: [email protected]: Sarah Glaz (University of Connecticut)

Mime-Matics NightKaplan Concert Hall, Towson University 8:30pm

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 Col-lege. Playing with different sets of tiles related to the pentagonal family of traditional geometric patterns, and to contemporary mathematics as well.

Informal Music EventKaplan 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 Uni-versity’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 exhib-ited 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.”


sUnDaY, JULY 29, 2012Kaplan ConCert HallSESSION IV-1 · Chair: Bob Bosch

9:30 The Color Symmetries of the Solstices: Ritual Sandals from the Prehistoric American SouthwestDorothy Washburn and Donald Crowe

10:15 Commissioning a Bridge Brent Collins

Coffee BreaK 11:00am - 11:30am

11:30 Splitting Tilings Rinus Roelofs


Kaplan ConCert HallSESSION IV-2 · Chair: Jay Bonner

2:30 A 7-Fold System for Creating Islamic Geometric Patterns Part 1: Historical AntecedentsJay Bonner and Marc Pelletier

3:00 A 7-Fold System for Creating Islamic Geometric Patterns Part 2: Contemporary ExpressionMarc Pelletier and Jay Bonner

3:30 Moorish Fretwork Revisited Paul Tucker

Ca 3080SESSION IV-3 · Chair: Jay Zimmerman

2:30 Generating Chinese Knots from Arbitrary Shapes Andrew Lee and Brandon Wang

2:45 Building the Schwarz D-Surface from Paper TilesStephen Luecking

3:00 A Topology-Preserving Voxelization Shrinking Algorithm Daniel Whalen

3:15 Exploring the Projective Plane via Variations on the Faceted OctahedronFranklin Gould and S. Louise Gould

3:30 Models of Stellations of the IcosahedronEve Torrence

3:45 Portraits of Groups in Three Dimensions Jay Zimmerman and Kevin Zimmerman

Ca 2032SESSION IV-4 · Chair: Alexander Munson

2:30 Curricular Outline for a Numeracy CourseSuzanne Keilson

2:45 Using Celtic Artwork to Introduce Elementary Knot theory in a Secondary Education ClassroomAaron Chotikul

3:00 A Brief Essay on Witkin & SymmetryFerhan Kızıltepe

3:15 Einstein’s Jewish Science: Physics at the Intersection of Politics and ReligionSteve Gimbel

3:30 Symplectic Toric Varieties — the Tale behind the Logo of the 2012 Bridges ConferenceAlexander Munson

Ca 3003SESSION IV-5 Workshop

2:30 Evolve Your Own Basket James Mallos

Coffee BreaK 4:00pm - 4:30pm

Ca 3080SESSION IV-6 · Chair: Darrah Chavey

4:30 Art of the Quantum Moment Robert P. Crease and Alfred S. Goldhaber

5:00 Knots as Processes in Art and MathematicsBojana Ginn

5:30 Mathematics and the Ballet BarreKarl Schaffer

5:45 Depression Glass and Nested Symmetry GroupsDarrah Chavey

Ca 2032SESSION IV-7 · Chair: Paul Gailiunas

4:30 A Mathematica GUI for Generating Conway TilesBruce Torrence

4:45 Steps Towards the Analysis of Geometric Decorative Motifs Using Shape-matching TechniquesAlice Humphrey and Michael Hann

5:00 Brand Values and the Perception of SymmetryJ. L. Marsden and B. G. Thomas

5:15 Rotate, Reflect, RecycleKarl Kattchee

5:30 The MathStudio Pendulum ProjectPau Atela

5:45 Intersecting HelicesPaul Gailiunas

Ca 3005SESSION IV-8 · Workshop

4:30 Poetry-with-Mathematics WorkshopJoAnne Growney

Bridges 2012

Music Night8:30 pmKaplan ConCert Hall

Coordinator: Dmitri Tymoczko


2012 speakers / COOrDinaTOrs

John Cromwell Mather• Astrophysicist,Cosmologist,andwinner

of the 2006 Nobel Prize in Physics for his work on the Cosmic Background Explorer satellite (COBE) with George Smoot

• Primarilyresponsiblefortheexperimentthat revealed the blackbody form of the microwave background radiation measured by COBE

• Hisworkconfirmedthebigbangtheoryto extraordinary accuracy

• SeniorAstrophysicistatNASAGoddardSpace Flight Center in Maryland

Ingrid Daubechies• JamesB.DukeProfessorofMathematics

at Duke University• ThefirstwomanpresidentoftheInterna-

tional Mathematical Union, host of the International Congress of Mathemati-cians (2011-2014)

• ThefirstwomantoreceivetheNationalAcademy of Sciences Award for her fundamental discoveries on wavelets and wavelet expansions

• Co-recipientofthePioneerPrizefromtheInternational Council for Industrial and Applied Mathematics (ICIAM/SIAM), with Heinz Engl

Helaman Ferguson•HelamanFerguson’smathematical

sculptures in stone and bronze celebrate ancient and modern mathematics, integrating the universal languages of art, engineering, science and sculpture, computing, mathematics

• Helaman’scommissionedsculptureisfound in institutions worldwide

• Helaman’sPSLQalgorithmwaslistedasone of the top ten in the 20th century

• HiscurrentsculpturestudioisinBalti-more, Maryland

• ClaireandHelamanFergusontogetherreceived the Joint Policy Board for Math-ematics 2002 Communication Award

William Noel• CuratorofManuscriptsandRareBooks

at the Walters Art Museum• DirectoroftheArchimedesPalimpsest

Project• CoauthorofTheArchimedesCodex• FacultymemberoftheRareBookSchool

of the University of Virginia

William F. Duffy• Duffyhasbeenaprofessionalsculptorfor

over 35 years, known for his large public and private art sculpture compositions. Currently, he maintains a working studio in Baltimore, MD

• Duffy’ssculpturesareintegratedintonatural environments, he has collaborat-ed with renowned landscape architects including late Wolfgang Oehme and late Kay Wagenknecht-Harte

• Duffyhasbeenintheforefrontinthefoundry industry casting high tempera-ture metals for over thirty years; has been a consultant for the CAD-CAM industry and has taught 3D computational graph-ics and is presently an adjunct faculty at Towson University

Robert Bosch• ProfessorofMathematics,OberlinCol-

lege, Ohio• Award-winningartistandauthor• Usesmathematicaloptimizationtech-

niques to create visual artwork (domino mosaics, TSP art, map-colored mosaics, and labyrinths)

• Co-chairoftheBridges2012Proceed-ings Program Committee



Douglas M. McKenna• Award-winningsoftwaredeveloperand

mathematical artist• President,Mathemaesthetics,Inc.,Boul-

der, Colorado, USA• Co-chairoftheBridges2012Proceed-

ings Program Committee• Expertoncombinatoricsofspace-filling

curve constructions• AtIBMResearch,helpedillustrateMan-

delbrot’s The Fractal Geometry of Nature

Carlo H. Séquin• ProfessorofComputerScienceand

Geometric Sculptor• EECSDepartment,UniversityofCalifor-

nia, Berkeley, USA• Fellow,IEEEandACM;Member,Swiss

Academy of Engineering Sciences

George W. Hart• ChiefofContentatTheMuseumof

Mathematics, New York, USA• TheNorthAmerica’sonlymuseumdedi-

cated to the wonders of mathematics• FormerComputerScientistatMITLincoln

Laboratory and MIT Energy Laboratory• FormerComputerScienceProfessorat

Columbia University, and Stony Brook University

• Asculptorandapioneerinusingcomputer technology and solid freeform fabrication in the design and fabrication of sculpture

Dmitri Tymoczko• ComposerandMusicTheorist• Hisarticle“TheGeometryofMusical

Chords” was the first music theory article ever published by Science

• RecipientofGuggenheimFellowship,Charles Ives Scholarship, Hugh F. MacColl Prize from Harvard University, and the Eisner & Delorenzo Prize from the UC, Berkeley

• PrincetonUniversity,NewJersey,USA

Craig S. Kaplan• MathematicalArtSoftwareDeveloperin

Maze Design, Star Patterns, Escherization, Patterns on surfaces, TSP Art, Metamor-phoses and Deformations

• AssociateEditoroftheJournalofMath-ematics and the Arts

• ComputerScienceProfessor,UniversityofWaterloo, Canada

Robert Fathauer• CuratorofAnnualArtExhibitionsat

Bridges and the Joint Mathematics Meet-ings

• FormerResearchScientistandTechnicalGroup Leader (PhD in EE, Cornell) of the Advanced Materials Group at the Jet Pro-pulsion Laboratory, Pasadena, California

• FounderandowneroftheTessellationsCompany

• Artist,PuzzleDesigner,andAuthorcon-centrating on Tiling, Fractals, and Knots



Kristóf Fenyvesi• CoordinatorofCommunityEventsofthe

Bridges Organization• CuratoroftheExperienceBridges

Traveling Exhibit - a growing collection of international math-art

• CuratorinChiefofArsGeometricaInter-national Conferences which hosted the Bridges World Conference in 2010

• LeaderoftheExperienceWorkshop:theExperience-Centered Math-Art Move-ment

• ResearcheratArtandCultureStudies,Jyväskylä University, Finland

Nathan Selikoff• Award-winningartistwhohasexhibited

in galleries and venues throughout the United States and around the world

• Graphicandwebdesigneranddeveloperfrom Orlando, Florida

• BridgesWebmasterandCo-editoroftheArt Exhibition Catalog

Steve Abbott• ProfessorofMathematics,Middlebury

College• Co-editorofMathHorizons• AuthorofUnderstandingAnalysis,

Springer UTM series• Currentlyresearchingtheintersectionsof

Mathematics and Theater

Sarah Glaz• ProfessorofMathematicsandpoet,

University of Connecticut• Authorofthebook“CommutativeCo-

herent Rings”, Springer,1989 (reprinted in 2007)

• Coeditorofthevolumes:“Non-Noetherian 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)

• Editorialboardmemberof:InternationalElectronic Journal of Algebra (IEJA), and Journal of Mathematics and the Arts (JMA)

• UniversityTeachingFellow

Reza Sarhangi• MathematicsProfessor,TowsonUniver-

sity, Maryland, USA• PresidentoftheBridgesOrganiza-

tion Mathematical Connections in Art, Music, and Science


Bridges Towson 2012 FAMILY DAY & MATH-ART EXPO

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Transcript of Bridges Towson 2012 FAMILY DAY & MATH-ART EXPO