Bridges 2000
Winfield, Kansas, USA
28–31 July 2000
More information
Front matter
Symmetry and Ornament
Pages 1–12
Hyperbolic Celtic Knot Patterns
Pages 13–22
"- To Build a Twisted Bridge -"
Pages 23–34
Sections Beyond Golden
Pages 35–44
M.C. Escher's Associations with Scientists
Pages 45–52
The Art and Science of Symmetric Design
Pages 53–60
Mathematical Building Blocks for Evolving Expressions
Pages 61–70
Symbolic Logic with a Light Touch
Pages 71–78
Subsymmetry Analysis and Synthesis of Architectural Designs
Pages 79–86
Beyond the Golden Section - the Golden tip of the iceberg
Pages 87–98
Towards a Methodological View on (Computer-Assisted) Music Analysis
Pages 99–104
Computer Generated Islamic Star Patterns
Pages 105–112
The Subtle Symmetry of Golden Spirals
Pages 113–118
Nearing Convergence: An Interactive Set Design for Dance
Pages 119–124
Evolutionary Development of Mathematically Defined Forms
Pages 125–132
Spiral Tilings
Pages 133–140
Musical Composition as Applied Mathematics: Set Theory and Probability in Iannis Xenakis's "Herma"
Pages 141–152
Number Series as an Expression Model
Pages 153–160
An Iconography of Reason and Roses
Pages 161–168
The End of the Well-Tempered Clavichord?
Pages 169–176
The Generation of the Cube and the Cube as Generator
Pages 177–184
Applications of Fractal Geometry to the Player Piano Music of Conlon Nancarrow
Pages 185–192
Maximally Even Sets
Pages 193–200
On Musical Space and Combinatorics: Historical and Conceptual Perspectives in Music Theory
Pages 201–208
The Millennium Bookball
Pages 209–216
A Topology for Figural Ambiguity
Pages 217–224
Synetic Structure
Pages 225–230
From the Circle to the Icosahedron
Pages 231–238
Uniform Polychora
Pages 239–246
The Square, the Circle and the Golden Proportion - A New Class of Geometrical Constructions
Pages 247–254
A Fresh Look at Number
Pages 255–266
On Growth and Form in Nature and Art: The Projective Geometry of Plant Buds and Greek Vases
Pages 267–278
Exploring Art with Mathematics and Computer Programming
Pages 279–284
Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons
Pages 285–292
Polyhedral Models in Group Theory and Graph Theory
Pages 293–300
Generalized Koch Snowflakes
Pages 301–308
Visualization: From Biology to Culture
Pages 309–314
What Do you See?
Pages 315–322
Persian Arts: A Brief Study
Pages 323–330
Polyhedra, Learning by Building: Design and Use of a Math-Ed Tool
Pages 331–338
Symmetry and Beauty of Human Faces
Pages 339–346
The Rubik's-Cube Design Problem
Pages 347–352
Mathematics and Art: Bill and Escher
Pages 353–362
Bridges, June Bugs, and Creativity
Pages 363–368
Saccades and Perceptual Geometry: Symmetry Detection through Entropy Minimization
Pages 369–378
Structures: Categorical and Cognitive
Pages 379–386
Bridges between Antiquity and the New Turkish Architecture in the 19th Century
Pages 387–394
Humor and Music in the Mathematics Classroom - Abstract
Pages 395–395
The Development of Integrated Curricula: Connections between Mathematics and the Arts - Abstracts
Pages 396–396
The Golden Ratio and How it Pertains to Art - Abstract
Pages 397–397
The Art and Mathematics of Tessellation - Abstract
Pages 398–398
Biological Applications of Symmetry for the Classroom - Abstract
Pages 399–399
Exploring Technology in the Classroom - Abstract
Pages 400–400
On Visual Mathematics in Art - Abstract
Pages 401–402
A Bridge for the Bridges - Abstract
Pages 403–404