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* Slavik Jablan: Symmetry and Ornament. Pages 1–12 http://archive.bridgesmathart.org/2000/bridges2000-1.html http://archive.bridgesmathart.org/2000/bridges2000-1.pdf | * Slavik Jablan: Symmetry and Ornament. Pages 1–12 http://archive.bridgesmathart.org/2000/bridges2000-1.html http://archive.bridgesmathart.org/2000/bridges2000-1.pdf | ||
| − | Hyperbolic Celtic Knot Patterns | + | * Douglas Dunham: Hyperbolic Celtic Knot Patterns. Pages 13–22 |
| − | |||
| − | Pages 13–22 | ||
| − | "- To Build a Twisted Bridge -" | + | * Carlo H. Séquin: "- To Build a Twisted Bridge -". Pages 23–34 |
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| − | Pages 23–34 | ||
| − | Sections Beyond Golden | + | * Peter Steinbach: Sections Beyond Golden. Pages 35–44 |
| − | |||
| − | Pages 35–44 | ||
| − | M.C. Escher's Associations with Scientists | + | * J. Taylor Hollist: M.C. Escher's Associations with Scientists. Pages 45–52 |
| − | |||
| − | Pages 45–52 | ||
| − | The Art and Science of Symmetric Design | + | * Michael Field: The Art and Science of Symmetric Design. Pages 53–60 |
| − | |||
| − | Pages 53–60 | ||
| − | Mathematical Building Blocks for Evolving Expressions | + | * Gary R. Greenfield: Mathematical Building Blocks for Evolving Expressions. Pages 61–70 |
| − | |||
| − | Pages 61–70 | ||
| − | Symbolic Logic with a Light Touch | + | * Charles C. Pinter: Symbolic Logic with a Light Touch. Pages 71–78 |
| − | |||
| − | Pages 71–78 | ||
| − | Subsymmetry Analysis and Synthesis of Architectural Designs | + | * Jin-Ho Park: Subsymmetry Analysis and Synthesis of Architectural Designs. Pages 79–86 |
| − | |||
| − | Pages 79–86 | ||
| − | Beyond the Golden Section - the Golden tip of the iceberg | + | * John Sharp: Beyond the Golden Section - the Golden tip of the iceberg. Pages 87–98 |
| − | |||
| − | Pages 87–98 | ||
| − | Towards a Methodological View on (Computer-Assisted) Music Analysis | + | * Nico Schuler: Towards a Methodological View on (Computer-Assisted) Music Analysis. Pages 99–104 |
| − | |||
| − | Pages 99–104 | ||
| − | Computer Generated Islamic Star Patterns | + | * Craig S. Kaplan: Computer Generated Islamic Star Patterns. Pages 105–112 |
| − | |||
| − | Pages 105–112 | ||
| − | The Subtle Symmetry of Golden Spirals | + | * Alvin Swimmer: The Subtle Symmetry of Golden Spirals. Pages 113–118 |
| − | |||
| − | Pages 113–118 | ||
| − | Nearing Convergence: An Interactive Set Design for Dance | + | * Benigna Chilla: Nearing Convergence: An Interactive Set Design for Dance. Pages 119–124 |
| − | |||
| − | Pages 119–124 | ||
| − | Evolutionary Development of Mathematically Defined Forms | + | * Robert J. Krawczyk: Evolutionary Development of Mathematically Defined Forms. Pages 125–132 |
| − | |||
| − | Pages 125–132 | ||
| − | Spiral Tilings | + | * Paul Gailiunas: Spiral Tilings. Pages 133–140 |
| − | |||
| − | Pages 133–140 | ||
| − | Musical Composition as Applied Mathematics: Set Theory and Probability in Iannis Xenakis's "Herma" | + | * Ronald Squibbs: Musical Composition as Applied Mathematics: Set Theory and Probability in Iannis Xenakis's "Herma". Pages 141–152 |
| − | |||
| − | Pages 141–152 | ||
| − | Number Series as an Expression Model | + | * Elpida S. Tzafestas: Number Series as an Expression Model. Pages 153–160 |
| − | |||
| − | Pages 153–160 | ||
| − | An Iconography of Reason and Roses | + | * Sarah Stengle: An Iconography of Reason and Roses. Pages 161–168 |
| − | |||
| − | Pages 161–168 | ||
| − | The End of the Well-Tempered Clavichord? | + | * W. Douglas Maurer: The End of the Well-Tempered Clavichord? Pages 169–176 |
| − | |||
| − | Pages 169–176 | ||
| − | The Generation of the Cube and the Cube as Generator | + | * María Antonia Frías Sagardoy and Ana Belén de Isla Gómez: The Generation of the Cube and the Cube as Generator. Pages 177–184 |
| − | |||
| − | Pages 177–184 | ||
| − | Applications of Fractal Geometry to the Player Piano Music of Conlon Nancarrow | + | * Julie Scrivener: Applications of Fractal Geometry to the Player Piano Music of Conlon Nancarrow. Pages 185–192 |
| − | |||
| − | Pages 185–192 | ||
| − | + | * Richard Krantz, Jack Douthett and John Clough: Maximally Even Sets. Pages 193–200 | |
| − | Richard Krantz, Jack Douthett and John Clough | ||
| − | Pages 193–200 | ||
| − | On Musical Space and Combinatorics: Historical and Conceptual Perspectives in Music Theory | + | * Catherine Nolan: On Musical Space and Combinatorics: Historical and Conceptual Perspectives in Music Theory. Pages 201–208 |
| − | |||
| − | Pages 201–208 | ||
| − | The Millennium Bookball | + | * George W. Hart: The Millennium Bookball. Pages 209–216 |
| − | |||
| − | Pages 209–216 | ||
| − | A Topology for Figural Ambiguity | + | * Thaddeus M. Cowan: A Topology for Figural Ambiguity. Pages 217–224 |
| − | |||
| − | Pages 217–224 | ||
| − | Synetic Structure | + | * F. Flowerday: Synetic Structure. Pages 225–230 |
| − | |||
| − | Pages 225–230 | ||
| − | From the Circle to the Icosahedron | + | * Eva Knoll: From the Circle to the Icosahedron. Pages 231–238 |
| − | |||
| − | Pages 231–238 | ||
| − | Uniform Polychora | + | * Jonathan Bowers: Uniform Polychora. Pages 239–246 |
| − | |||
| − | Pages 239–246 | ||
| − | The Square, the Circle and the Golden Proportion - A New Class of Geometrical Constructions | + | * Janusz Kapusta: The Square, the Circle and the Golden Proportion - A New Class of Geometrical Constructions. Pages 247–254 |
| − | |||
| − | Pages 247–254 | ||
| − | + | * Jay Kappraff and Gary W. Adamson: A Fresh Look at Number. Pages 255–266 | |
| − | Jay Kappraff and Gary W. Adamson | ||
| − | Pages 255–266 | ||
| − | On Growth and Form in Nature and Art: The Projective Geometry of Plant Buds and Greek Vases | + | * Stephen Eberhart: On Growth and Form in Nature and Art: The Projective Geometry of Plant Buds and Greek Vases. Pages 267–278 |
| − | |||
| − | Pages 267–278 | ||
| − | Exploring Art with Mathematics and Computer Programming | + | * Alberto López-Santoyo: Exploring Art with Mathematics and Computer Programming. Pages 279–284 |
| − | |||
| − | Pages 279–284 | ||
| − | Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons | + | * Robert W. Fathauer: Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons. Pages 285–292 |
| − | |||
| − | Pages 285–292 | ||
| − | Polyhedral Models in Group Theory and Graph Theory | + | * Raymond F. Tennant: Polyhedral Models in Group Theory and Graph Theory. Pages 293–300 |
| − | |||
| − | Pages 293–300 | ||
| − | + | * Cheri Shakiban and Janine E. Bergstedt: Generalized Koch Snowflakes. Pages 301–308 | |
| − | Cheri Shakiban and Janine E. Bergstedt | ||
| − | Pages 301–308 | ||
| − | Visualization: From Biology to Culture | + | * Brent Collins: Visualization: From Biology to Culture. Pages 309–314 |
| − | |||
| − | Pages 309–314 | ||
| − | What Do you See? | + | * Nathaniel A. Friedman: What Do you See? Pages 315–322 |
| − | |||
| − | Pages 315–322 | ||
| − | Persian Arts: A Brief Study | + | * Reza Sarhangi: Persian Arts: A Brief Study. Pages 323–330 |
| − | |||
| − | Pages 323–330 | ||
| − | Polyhedra, Learning by Building: Design and Use of a Math-Ed Tool | + | * Simon Morgan and Eva Knoll: Polyhedra, Learning by Building: Design and Use of a Math-Ed Tool. Pages 331–338 |
| − | |||
| − | Pages 331–338 | ||
| − | Symmetry and Beauty of Human Faces | + | * Teresa Breyer: Symmetry and Beauty of Human Faces. Pages 339–346 |
| − | |||
| − | Pages 339–346 | ||
| − | The Rubik's-Cube Design Problem | + | * Hana M. Bizek: The Rubik's-Cube Design Problem. Pages 347–352 |
| − | |||
| − | Pages 347–352 | ||
| − | Mathematics and Art: Bill and Escher | + | * Michele Emmer: Mathematics and Art: Bill and Escher. Pages 353–362 |
| − | |||
| − | Pages 353–362 | ||
| − | Bridges, June Bugs, and Creativity | + | * Daniel F. Daniel and Gar Bethel: Bridges, June Bugs, and Creativity. Pages 363–368 |
| − | |||
| − | Pages 363–368 | ||
| − | Saccades and Perceptual Geometry: Symmetry Detection through Entropy Minimization | + | * Hamid Eghbalnia and Amir Assadi: Saccades and Perceptual Geometry: Symmetry Detection through Entropy Minimization. Pages 369–378 |
| − | |||
| − | Pages 369–378 | ||
| − | Structures: Categorical and Cognitive | + | * Mara Alagić: Structures: Categorical and Cognitive. Pages 379–386 |
| − | |||
| − | Pages 379–386 | ||
| − | Bridges between Antiquity and the New Turkish Architecture in the 19th Century | + | * Zafer Sagdic: Bridges between Antiquity and the New Turkish Architecture in the 19th Century. Pages 387–394 |
| − | |||
| − | Pages 387–394 | ||
| − | Humor and Music in the Mathematics Classroom - Abstract | + | * James G. Eberhart: Humor and Music in the Mathematics Classroom - Abstract. Pages 395–395 |
| − | |||
| − | Pages 395–395 | ||
| − | The Development of Integrated Curricula: Connections between Mathematics and the Arts - Abstracts | + | * Virginia Usnick: The Development of Integrated Curricula: Connections between Mathematics and the Arts - Abstracts. Pages 396–396 |
| − | |||
| − | Pages 396–396 | ||
| − | The Golden Ratio and How it Pertains to Art - Abstract | + | * Michael J. Nasvadi and Mahbobeh Vezvaei: The Golden Ratio and How it Pertains to Art - Abstract. Pages 397–397 |
| − | |||
| − | Pages 397–397 | ||
| − | The Art and Mathematics of Tessellation - Abstract | + | * Travis Ethridge: The Art and Mathematics of Tessellation - Abstract. Pages 398–398 |
| − | |||
| − | Pages 398–398 | ||
| − | Biological Applications of Symmetry for the Classroom - Abstract | + | * Patrick Ross: Biological Applications of Symmetry for the Classroom - Abstract. Pages 399–399 |
| − | |||
| − | Pages 399–399 | ||
| − | Exploring Technology in the Classroom - Abstract | + | * Terry Quiett: Exploring Technology in the Classroom - Abstract. Pages 400–400 |
| − | |||
| − | Pages 400–400 | ||
| − | On Visual Mathematics in Art - Abstract | + | * Clifford Singer: On Visual Mathematics in Art - Abstract. Pages 401–402 |
| − | |||
| − | Pages 401–402 | ||
| − | A Bridge for the Bridges - Abstract | + | * Jason Barnett: A Bridge for the Bridges - Abstract. Pages 403–404 |
| − | |||
| − | Pages 403–404 | ||
Version vom 13. Dezember 2014, 11:06 Uhr
Inhaltsverzeichnis
Reference
Reza Sarhangi: Bridges 2000, Mathematics, Music, Art, Architecture, Culture. 3th Annual Bridges Conference, 2000. ISBN 0-9665201-2-2.
DOI
Abstract
Extended Abstract
Reviews
Bibtex
Table of contents
- The Editors: Front Matter http://archive.bridgesmathart.org/2000/frontmatter.pdf
- Slavik Jablan: Symmetry and Ornament. Pages 1–12 http://archive.bridgesmathart.org/2000/bridges2000-1.html http://archive.bridgesmathart.org/2000/bridges2000-1.pdf
- Douglas Dunham: Hyperbolic Celtic Knot Patterns. Pages 13–22
- Carlo H. Séquin: "- To Build a Twisted Bridge -". Pages 23–34
- Peter Steinbach: Sections Beyond Golden. Pages 35–44
- J. Taylor Hollist: M.C. Escher's Associations with Scientists. Pages 45–52
- Michael Field: The Art and Science of Symmetric Design. Pages 53–60
- Gary R. Greenfield: Mathematical Building Blocks for Evolving Expressions. Pages 61–70
- Charles C. Pinter: Symbolic Logic with a Light Touch. Pages 71–78
- Jin-Ho Park: Subsymmetry Analysis and Synthesis of Architectural Designs. Pages 79–86
- John Sharp: Beyond the Golden Section - the Golden tip of the iceberg. Pages 87–98
- Nico Schuler: Towards a Methodological View on (Computer-Assisted) Music Analysis. Pages 99–104
- Craig S. Kaplan: Computer Generated Islamic Star Patterns. Pages 105–112
- Alvin Swimmer: The Subtle Symmetry of Golden Spirals. Pages 113–118
- Benigna Chilla: Nearing Convergence: An Interactive Set Design for Dance. Pages 119–124
- Robert J. Krawczyk: Evolutionary Development of Mathematically Defined Forms. Pages 125–132
- Paul Gailiunas: Spiral Tilings. Pages 133–140
- Ronald Squibbs: Musical Composition as Applied Mathematics: Set Theory and Probability in Iannis Xenakis's "Herma". Pages 141–152
- Elpida S. Tzafestas: Number Series as an Expression Model. Pages 153–160
- Sarah Stengle: An Iconography of Reason and Roses. Pages 161–168
- W. Douglas Maurer: The End of the Well-Tempered Clavichord? Pages 169–176
- María Antonia Frías Sagardoy and Ana Belén de Isla Gómez: The Generation of the Cube and the Cube as Generator. Pages 177–184
- Julie Scrivener: Applications of Fractal Geometry to the Player Piano Music of Conlon Nancarrow. Pages 185–192
- Richard Krantz, Jack Douthett and John Clough: Maximally Even Sets. Pages 193–200
- Catherine Nolan: On Musical Space and Combinatorics: Historical and Conceptual Perspectives in Music Theory. Pages 201–208
- George W. Hart: The Millennium Bookball. Pages 209–216
- Thaddeus M. Cowan: A Topology for Figural Ambiguity. Pages 217–224
- F. Flowerday: Synetic Structure. Pages 225–230
- Eva Knoll: From the Circle to the Icosahedron. Pages 231–238
- Jonathan Bowers: Uniform Polychora. Pages 239–246
- Janusz Kapusta: The Square, the Circle and the Golden Proportion - A New Class of Geometrical Constructions. Pages 247–254
- Jay Kappraff and Gary W. Adamson: A Fresh Look at Number. Pages 255–266
- Stephen Eberhart: On Growth and Form in Nature and Art: The Projective Geometry of Plant Buds and Greek Vases. Pages 267–278
- Alberto López-Santoyo: Exploring Art with Mathematics and Computer Programming. Pages 279–284
- Robert W. Fathauer: Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons. Pages 285–292
- Raymond F. Tennant: Polyhedral Models in Group Theory and Graph Theory. Pages 293–300
- Cheri Shakiban and Janine E. Bergstedt: Generalized Koch Snowflakes. Pages 301–308
- Brent Collins: Visualization: From Biology to Culture. Pages 309–314
- Nathaniel A. Friedman: What Do you See? Pages 315–322
- Reza Sarhangi: Persian Arts: A Brief Study. Pages 323–330
- Simon Morgan and Eva Knoll: Polyhedra, Learning by Building: Design and Use of a Math-Ed Tool. Pages 331–338
- Teresa Breyer: Symmetry and Beauty of Human Faces. Pages 339–346
- Hana M. Bizek: The Rubik's-Cube Design Problem. Pages 347–352
- Michele Emmer: Mathematics and Art: Bill and Escher. Pages 353–362
- Daniel F. Daniel and Gar Bethel: Bridges, June Bugs, and Creativity. Pages 363–368
- Hamid Eghbalnia and Amir Assadi: Saccades and Perceptual Geometry: Symmetry Detection through Entropy Minimization. Pages 369–378
- Mara Alagić: Structures: Categorical and Cognitive. Pages 379–386
- Zafer Sagdic: Bridges between Antiquity and the New Turkish Architecture in the 19th Century. Pages 387–394
- James G. Eberhart: Humor and Music in the Mathematics Classroom - Abstract. Pages 395–395
- Virginia Usnick: The Development of Integrated Curricula: Connections between Mathematics and the Arts - Abstracts. Pages 396–396
- Michael J. Nasvadi and Mahbobeh Vezvaei: The Golden Ratio and How it Pertains to Art - Abstract. Pages 397–397
- Travis Ethridge: The Art and Mathematics of Tessellation - Abstract. Pages 398–398
- Patrick Ross: Biological Applications of Symmetry for the Classroom - Abstract. Pages 399–399
- Terry Quiett: Exploring Technology in the Classroom - Abstract. Pages 400–400
- Clifford Singer: On Visual Mathematics in Art - Abstract. Pages 401–402
- Jason Barnett: A Bridge for the Bridges - Abstract. Pages 403–404
Links
Full Text
http://archive.bridgesmathart.org/2000/index.html
