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