The Bridges Archive
Bridges 1999 cover
Bridges 1999

Winfield, Kansas, USA
30 July – 1 August 1999
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Front matter
The Editors
Harmony, Chromatics, and Chaos
Michael Field
Pages 1–20
Mathematical "Abstracts"
Lawrence Holbrook
Pages 21–26
Systems of Proportion in Design and Architecture and their Relationship to Dynamical Systems Theory
Jay Kappraff
Pages 27–40
On Understanding the Search Problem for Image Spaces
Gary R. Greenfield
Pages 41–54
Geometric Sculpture for K-12: Geos, Hyperseeing, and Hypersculptures
Nathaniel A. Friedman
Pages 55–62
The Marriage of Mathematics and Psychology: An Enduring Love Story
Andrea M. Karkowski
Pages 63–66
Mobius Knitting
Daniel C. Isaksen and Alabama P. Petrofsky
Pages 67–76
Diagrammatic Relations in Interart Discourse
Kent W. Hooper
Pages 77–90
Polyhedral Sculptures with Hyperbolic Paraboloids
Erik D. Demaine, Martin L. Demaine, and Anna Lubiw
Pages 91–100
The Mathematics of the Just Intonation Used in the Music of Terry Riley
Joel K. Haack
Pages 101–110
Math at the Service of Meaning: Links Between Geometry, Mythology, and Philosophy in Mosaic Art
Irene Rousseau
Pages 111–122
Some Briggsian Bridges Between Sense Perception, Postage Stamps, and Stylized Proportions or A Musician-Mathematician Looks at Life
Stephen Eberhart
Pages 123–130
Barn-Raising an Endo-Pentakis-Icosi-Dodecahedron
Eva Knoll and Simon Morgan
Pages 131–136
Audio Visualization in Phase Space
David Gerhard
Pages 137–144
The Sky Within: Mathematical Aesthetics of Persian Dome Interiors
Reza Sarhangi
Pages 145–156
Where's the BEAT? Discovering the Musical Rhythms and Accompanying Mathematical Patterns in Poetry
Beverly Finkbeiner Mayhew
Pages 157–160
Analogies from 2D to 3D - Exercises in Disciplined Creativity
Carlo H. Séquin
Pages 161–172
The Well-Rounded Architect: Spheres and Circles in Architectural Design
Kim Williams
Pages 173–184
Aesthetics, Beauty, and Computer Science
Paul S. LaFollette Jr.
Pages 185–190
Teaching Mathematical Thinking through Origami
Daniel Meyer and Jeanine Meyer
Pages 191–204
Merging Paradigms
Brent Collins
Pages 205–210
Towards Visual Perception of Periodic Tilings: A Computational Model
Kristyann Manske, Amir Assadi, Hamid Eghbalina, and Stephen Palmer
Pages 211–220
PHYSICS: A Search for Simplicity, Beauty and Symmetry
Richard C. Morrison
Pages 221–230
Repetition and Self-Similarity in Modern Poetics
Daniel F. Daniel and Gar Bethel
Pages 231–238
Artistic Patterns in Hyperbolic Geometry
Douglas Dunham
Pages 239–250
The Conceptual Mechanics of Expression in Geometric Fields
Clifford Singer
Pages 251–256
Whirling Chaos: A Multisensory Kinetic Art System
Joe Cusumano
Pages 257–264
"The Optiverse" and Other Sphere Eversions
John M. Sullivan
Pages 265–274
The Linear Visualizations of Mathematical Anomalies In Sculptural Space: An Artist Presentation
Don R. Schol
Pages 275–278
The Art-Science Marriage, From Quarrel to Understanding
Solomon Marcus
Pages 279–290
Recognizable Motif Tilings Based on Post-Escher Mathematics - Abstract
Robert W. Fathauer
Pages 291–292
The Theater of Mathematics and the Mathematics of the Theater - Abstract
Solomon Marcus
Pages 293–294
Music, Mathematics, and Magnetic Ordering - Abstract
Richard Krantz, Jack Douthett, and John Clough
Pages 295–296
Model Building - An Applied College Algebra Course Dealing with Observed Patterns - Abstract
Darrell Thoman
Pages 297–297
The Volterra Series for Modeling of Input-Output Dynamical Systems - Abstract
Denis N. Sidorov
Pages 298–298
Towards A Topology of Music - Abstract
Isaiah Jackson and Nathan P. Ritchey
Pages 299–299
The K-Dron A New Geometrical Shape - Its Nature, Properties, and Consequences - Abstract
Janusz Kapusta
Pages 300–300
Abstraction, Reflection, and Learning - Musing of a Mathematician/Educator - Abstract
Mara Alagić
Pages 301–301
Reading Numbers as a Metaphor of the Universe - Abstract
Solomon Marcus
Pages 302–302