Bridges 2004

Winfield, Kansas, USA
30 July – 1 August 2004
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Front Matter
The Editors
Anatomy of a Bud
Jay Kappraff
Pages 1–10
Combining Abstract Images using Texture Transfer
Gary R. Greenfield
Pages 11–18
Fractal Art - A Comparison of Styles
Janet Parke
Pages 19–26
Turning a Snowball Inside Out: Mathematical Visualization at the 12-foot Scale
Alex Kozlowski, Dan Schwalbe, Carlo H. Séquin, John M. Sullivan and Stan Wagon
Pages 27–36
On the Topology of Celtic Knot Designs
Gwen Fisher and Blake Mellor
Pages 37–44
Twisted Domes
Paul Gailiunas
Pages 45–52
A Salamander Sculpture Barn Raising
George W. Hart
Pages 53–60
El Compás Flamenco: A Phylogenetic Analysis
J. Miguel Díaz-Báñez, Giovanna Farigu, Francisco Gómez, David Rappaport and Godfried T. Toussaint
Pages 61–70
An Introduction to the Tiling Properties of the Tangram and Their Application in Two and Three Dimensions
Stanley Spencer
Pages 71–78
From Hot Spots to High School Geometry and Calculus
Tiziana Giorgi and Robert Smits
Pages 79–86
Folding the Circle as Both Whole and Part
Bradford Hansen-Smith
Pages 87–94
Permuting Heaven and Earth: Painted Expressions of Burnside's Theorem
James Mai and Daylene Zielinski
Pages 95–102
The Triumph of One
Benjamin Wells
Pages 103–108
Cognitive Models of Music and Painting
James Peterson and Linda Dzuris
Pages 109–116
A Generalized Vertex Truncation Scheme to Construct Intriguing Polyhedral Shapes
Ergun Akleman, Paul Edmundson and Ozan Ozener
Pages 117–124
Star Polygon Designs of La Alhambra's Wooden Ceilings
B. Lynn Bodner
Pages 125–132
The Influence of Incipit Length on the Results of Statistical and Information-Theoretical Melody Analysis
Nico Schüler
Pages 133–140
Glide Reflection and other Combined Transformations
Rinus Roelofs
Pages 141–148
The Reflected Binary Gray Code Transform
Steve Whealton
Pages 149–156
Expressive Geometries of Curvature
Brent Collins
Pages 157–164
A Search in Progress: Polyhedra from Intersecting Cylinders
Joseph D. Clinton
Pages 165–172
Using a Fractal Program to Model Vortical Flows
L. Kerry Mitchell and Janet Parke
Pages 173–180
Moorish Fretwork
Paul Tucker
Pages 181–188
Asymmetric Rhythms, Tiling Canons, and Burnside's Lemma
Rachel W. Hall and Paul Klingsberg
Pages 189–194
Inspired by Snowflakes: Constructing, Folding and Cutting Regular Paper Polygons to Create Art with Dihedral Symmetry
Gwen L. Fisher and Nicole Silkton
Pages 195–202
Fractal Patterns and Pseudo-tilings Based on Spirals
Rabert W. Fathauer
Pages 203–210
Hamiltonian Cycles on Symmetrical Graphs
Carlo H. Séquin
Pages 211–222
Hunting Additional Pixels in Digitally Amplified Art: Looking for Clues in Music, with Inspiration from Mathematics
Mark Nelson
Pages 223–230
The Shape and History of The Ellipse in Washington, D.C.
Clark Kimberling
Pages 231–242
Exploring Hyperobjects: A Metaphor of Higher Dimensions
Michael Mahan
Pages 243–250
Islamic Art at Doris Duke's Shangri La Playing with Form and Pattern
Carol Bier and David K. Masunaga
Pages 251–258
Mathematical Magic
Arthur T. Benjamin
Pages 259–264
MultiCam: A System for Interactive Rendering of Abstract Digital Images
Jeffrey Smith, Ergun Akleman, Richard Davison and John Keyser
Pages 265–272
The Mathematics of Jazz
W. Douglas Maurer
Pages 273–280
Modularity in Medieval Persian Mosaics: Textual, Empirical, Analytical, and Theoretical Considerations
Reza Sarhangi, Slavik Jablan and Radmila Sazdanovic
Pages 281–292
Modular Origami in the Mathematics Classroom
Brock Wenciker and Patrick Flynn
Pages 293–296
Splinters from the Keyboard Artistic Work and the Experience of Production
Anna Ursyn
Pages 297–302
Experiential Morphology: The Generative Dynamics of Form and Structure, Part II
Manuel A. Báez
Pages 303–308
Tony Bomford's Hyperbolic Hooked Rugs
Douglas Dunham
Pages 309–314
Fractalled: The Interstitial Spaces And Frank Gehry
Amy Gilley
Pages 315–320
Pulling Ropes and Plumbing Lines: Geometry for the Neolithic Engineer
Stephen Luecking
Pages 321–328
Symmetry to Assembly
Mary Candace Williams
Pages 329–332
The Ghostly Imagery of Strange Attractors
Robert J. Krawczyk
Pages 333–334
Fractal Tessellations from Proofs of the Pythagorean Theorem
L. Kerry Mitchell
Pages 335–336
Applications for the Study of Tilings (Tile Composer - FonTiler - GridTiler) Using Combinatorics to Build Tiles Sets
Chris K. Palmer, Slavik Jablan and Reza Sarhangi
Pages 337–338
Measuring the Musical Vocabulary of the Traditional Nzakara Harpists
Barbra Gregory
Pages 339–340
Supercircles: Expanding Buckminster Fuller's Foldable Circle Models
Chris Fearnley and Jeannie Moberly
Pages 341–342
The Place of Pilgrimage
Benjamin Wells
Pages 343–344
Intersecting Cylinders and the Jitterbug
Joseph D. Clinton
Pages 345–346
An Introduction to The Randome
Richard Fischbeck and Oscar Tuazon
Pages 347–348
Stephen Eberhart Memorial Quilt - A Proposal
Mary Candace Williams
Pages 349–350