cover

Bridges 2002

Towson, Maryland, USA
27–29 July 2002
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Front Matter
The Editors
Sculptural Interpretation of a Mathematical Form
Robert J. Krawczyk
Pages 1–8
Color Dependent Computational Aesthetics for Evolving Expressions
Gary R. Greenfield
Pages 9–16
Set Operations in the Music of Nikolai Roslavets
Terry B. Ewell
Pages 17–24
A Transformation Sketchbook
John Sharp
Pages 25–36
3D Visualization Model of the Regular Polytopes in Four and Higher Dimensions
Carlo H. Séquin
Pages 37–48
The Pi Symphony: Numeric Sequences in Music
Lars Erickson
Pages 49–53
Computer Sculpture: A Journey through Mathematics - Abstract
Javier Barrallo and Radmila Sazdanovic
Pages 54–54
The Endless Wave
Bob Brill
Pages 55–66
Geometric Patterns and the Interpretation of Meaning: Two Monuments in Iran
Carol Bier
Pages 67–78
Two Poems
Gar Bethel
Pages 79–81
Time-Space of Music - Abstract
Marina Korsakova-Kreyn
Pages 82–82
Exploring Fractal Geometry in Music
Brian Hansen and Cheri Shakiban
Pages 83–90
Electrostatic Kaleidoscope
Haiduke Sarafian
Pages 91–98
Layering Fractal Elements to Create Works of Art
Janet Parke
Pages 99–108
Spatial Constructs
William C. Bodenhamer
Pages 109–115
An Introduction to Polynomiography - Abstract
Bahman Kalantari
Pages 116–116
Gridfield Geometry
Douglas D. Peden
Pages 117–122
Hearing With Our Eyes: The Geometry of Tonal Space
Julian L. Hook
Pages 123–134
Art in Perspective: A Making Connections Cluster at Clarion University
Stephen I. Gendler and James Robert Rose
Pages 135–142
A Collaborative Parabolic Quilt
Mary C. Williams and John Sharp
Pages 143–149
A Course: Mathematics and the Visual Arts - Abstract
Ralph Czerwinski
Pages 150–150
Vasarely Design and Other Non-Cubical Designs
Hana M. Bizek
Pages 151–156
A Mathematical Analysis of African, Brazilian, and Cuban Clave Rhythms
Godfried Toussaint
Pages 157–168
The Knight's Tour Problem as a Conceptual Tool for Interdisciplinary Studies
Ronald R. Brown
Pages 169–180
Fractions in Art and Mathematics
Jane K. Bates
Pages 181–188
Transforming Some Infinite Polyhedra
Paul Gailiunas
Pages 189–195
Poseidon from Cape Artemision - Abstract
Franz Gnaedinger
Pages 196–196
168 Butterflies on a Polyhedron of Genus 3
Douglas Dunham
Pages 197–204
Preliminary Field Explorations in K-6 Math-Ed: The Giant Triangles as Classroom Manipulatives
Eva Knoll and Simon Morgan
Pages 205–212
Exploring the Effect of Direction on Vector-Based Fractals
Magdy Ibrahim and Robert J. Krawczyk
Pages 213–219
Choosing Diagrams for the Book of Beautiful Mathematical Diagrams - Abstract
Samuel S. Kutler
Pages 220–220
Anne Bulckens' Analysis of the Proportions of the Parthenon and its Meanings
Jay Kappraff
Pages 221–226
A Musical Suite Based on the Platonic Solids
W. Douglas Maurer
Pages 227–233
Exploring Algebra with Creative Designs - Abstract
Iftikhar Husain
Pages 234–234
The Rootsellers - Retelling the Galois Group of Quartic Polynomial
Benjamin Wells
Pages 235–246
Mathematics for Those Who Hate Mathematics
Julianne M. Labbiento
Pages 247–255
Sentences on the Aesthetics of Mathematics and Art - Abstract
Kaz Maslanka
Pages 256–256
From a Subdivided Tetrahedron to the Dodecahedron: Exploring Regular Colorings
Eva Knoll
Pages 257–261
Connecting Mathematics and the Arts in the Elementary Classroom through Movement - Abstract
Virginia Usnick and Marilyn Sue Ford
Pages 262–262
How a Math Class Can Be Two Places at Once: A Proposed Mathematical/Philosophical Collaboration
Eric S. Egge and Steven Gimbel
Pages 263–268
A Museum Dedicated to the Concept of Harmony and the Golden Section
Alexey Stakhov and Anna Sluchenkova
Pages 269–276
Techniques for Artistically Rendering Space-Filling Curves
L. Kerry Mitchell
Pages 277–283
Pure-Tone Approximation to Equal-Temperament: How Close is Close? - Abstract
Jack Douthett and Richard Krantz
Pages 284–284
A Mathematical Look at the 7 Liberal Arts as Humanities
Stephen Eberhart
Pages 285–292
Tonal Optimization in Music Playing
Jiashi Hou
Pages 293–300
Beautiful Mind - Elegant Bridge
Daniel F. Daniel
Pages 301–304
Graphical Fractals Based on Circles - Abstract
Robert W. Fathauer
Pages 305–305
Theory and Application of Islamic Star Patterns - Abstract
Craig S. Kaplan
Pages 306–306
Art and Physics: Parallel Visions in Space, Time and Light - Abstract
Leonard Shlain
Pages 307–307
How to Make the Juno's Spinner - Abstract
Junichi Yananose
Pages 308–308
Towards a Geometrical Way of Thinking - Abstract
Clifford Singer
Pages 309–310
Heterarchy of Space - Abstract
Lebbeus Woods
Pages 311–311
Kindred Spirits: Hafez in His Poetry, Mathematicians in Their Theories - Abstract
Saeed Ghahramani
Pages 312–312
Theory of Design - Abstract
Michael Leyton
Pages 313–313
On the Shapes of Water Fountains and Times Tables - Abstract
Stephen Eberhart
Pages 314–314
Experimental Morphology: The Generative Dynamics of Form and Structure
Manuel A. Báez
Pages 315–318
Real Kecak Systems - Abstract
Akio Hizume
Pages 319–319
About Enumeration of Isogonal Polyhedral Families - Abstract
Vladimir Bulatov
Pages 320–320