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== Reference ==
 
== Reference ==
 
Reza Sarhangi: Bridges 2000, Mathematics, Music, Art, Architecture, Culture. 3th Annual Bridges Conference, 2000. ISBN 0-9665201-2-2.
 
Reza Sarhangi: Bridges 2000, Mathematics, Music, Art, Architecture, Culture. 3th Annual Bridges Conference, 2000. ISBN 0-9665201-2-2.
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the pdfs are full of ocr errors!!!!!!!!!!!!!!!!!!!!! urls in references are mostly wrong: "/" often recognized as "l" !!!!!!!!!!!!!!!!!!!!!
  
 
== DOI ==
 
== DOI ==
Zeile 15: Zeile 20:
 
* The Editors: Front Matter http://archive.bridgesmathart.org/2000/frontmatter.pdf
 
* The Editors: Front Matter http://archive.bridgesmathart.org/2000/frontmatter.pdf
  
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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
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* Slavik Jablan: [[Symmetry and Ornament]]. In: [[Bridges 2000]]. Pages 1–12 http://archive.bridgesmathart.org/2000/bridges2000-1.html http://archive.bridgesmathart.org/2000/bridges2000-1.pdf
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Hyperbolic Celtic Knot Patterns
 
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Douglas Dunham
 
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Pages 13–22
 
  
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"- To Build a Twisted Bridge -"
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* Douglas Dunham: Hyperbolic Celtic Knot Patterns. In: [[Bridges 2000]]. Pages 13–22 http://archive.bridgesmathart.org/2000/bridges2000-13.html http://archive.bridgesmathart.org/2000/bridges2000-13.pdf
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Carlo H. Séquin
 
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Pages 23–34
 
  
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Sections Beyond Golden
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* Carlo H. Séquin: "- To Build a Twisted Bridge -". In: [[Bridges 2000]]. Pages 23–34 http://archive.bridgesmathart.org/2000/bridges2000-23.html http://archive.bridgesmathart.org/2000/bridges2000-23.pdf
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Peter Steinbach
 
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Pages 35–44
 
  
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M.C. Escher's Associations with Scientists
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* Peter Steinbach: [[Sections Beyond Golden]]. In: [[Bridges 2000]]. Pages 35–44 http://archive.bridgesmathart.org/2000/bridges2000-35.html http://archive.bridgesmathart.org/2000/bridges2000-35.pdf
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J. Taylor Hollist
 
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Pages 45–52
 
  
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The Art and Science of Symmetric Design
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* J. Taylor Hollist: M.C. Escher's Associations with Scientists. In: [[Bridges 2000]]. Pages 45–52 http://archive.bridgesmathart.org/2000/bridges2000-45.html http://archive.bridgesmathart.org/2000/bridges2000-45.pdf
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Michael Field
 
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Pages 53–60
 
  
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Mathematical Building Blocks for Evolving Expressions
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* Michael Field: The Art and Science of Symmetric Design. In: [[Bridges 2000]]. Pages 53–60 http://archive.bridgesmathart.org/2000/bridges2000-53.html http://archive.bridgesmathart.org/2000/bridges2000-53.pdf
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Gary R. Greenfield
 
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Pages 61–70
 
  
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Symbolic Logic with a Light Touch
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* [[Gary Greenfield]]: [[Mathematical building blocks for evolving expressions]]. In: [[Bridges 2000]]. Pages 61–70 http://archive.bridgesmathart.org/2000/bridges2000-61.html http://archive.bridgesmathart.org/2000/bridges2000-61.pdf
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Charles C. Pinter
 
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Pages 71–78
 
  
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Subsymmetry Analysis and Synthesis of Architectural Designs
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* Charles C. Pinter: Symbolic Logic with a Light Touch. In: [[Bridges 2000]]. Pages 71–78 http://archive.bridgesmathart.org/2000/bridges2000-71.html http://archive.bridgesmathart.org/2000/bridges2000-71.pdf
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Jin-Ho Park
 
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Pages 79–86
 
  
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Beyond the Golden Section - the Golden tip of the iceberg
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* Jin-Ho Park: [[Subsymmetry Analysis and Synthesis of Architectural Designs]]. In: [[Bridges 2000]]. Pages 79–86 http://archive.bridgesmathart.org/2000/bridges2000-79.html http://archive.bridgesmathart.org/2000/bridges2000-79.pdf
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John Sharp
 
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Pages 87–98
 
  
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Towards a Methodological View on (Computer-Assisted) Music Analysis
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* John Sharp: [[Beyond the Golden Section - the Golden tip of the iceberg]]. In: [[Bridges 2000]]. Pages 87–98 http://archive.bridgesmathart.org/2000/bridges2000-87.html http://archive.bridgesmathart.org/2000/bridges2000-87.pdf
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Nico Schuler
 
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Pages 99–104
 
  
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Computer Generated Islamic Star Patterns
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* Nico Schuler: Towards a Methodological View on (Computer-Assisted) Music Analysis. In: [[Bridges 2000]]. Pages 99–104 http://archive.bridgesmathart.org/2000/bridges2000-99.html http://archive.bridgesmathart.org/2000/bridges2000-99.pdf
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Craig S. Kaplan
 
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Pages 105–112
 
  
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The Subtle Symmetry of Golden Spirals
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* [[Craig S. Kaplan]]: [[Computer Generated Islamic Star Patterns]]. In: [[Bridges 2000]]. Pages 105–112 http://archive.bridgesmathart.org/2000/bridges2000-105.html http://archive.bridgesmathart.org/2000/bridges2000-105.pdf
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Alvin Swimmer
 
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Pages 113–118
 
  
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Nearing Convergence: An Interactive Set Design for Dance
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* Alvin Swimmer: The Subtle Symmetry of Golden Spirals. In: [[Bridges 2000]]. Pages 113–118 http://archive.bridgesmathart.org/2000/bridges2000-113.html http://archive.bridgesmathart.org/2000/bridges2000-113.pdf
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Benigna Chilla
 
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Pages 119–124
 
  
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Evolutionary Development of Mathematically Defined Forms
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* Benigna Chilla: Nearing Convergence: An Interactive Set Design for Dance. In: [[Bridges 2000]]. Pages 119–124 http://archive.bridgesmathart.org/2000/bridges2000-119.html http://archive.bridgesmathart.org/2000/bridges2000-119.pdf
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Robert J. Krawczyk
 
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Pages 125–132
 
  
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Spiral Tilings
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* Robert J. Krawczyk: [[Evolutionary Development of Mathematically Defined Forms]]. In: [[Bridges 2000]]. Pages 125–132 http://archive.bridgesmathart.org/2000/bridges2000-125.html http://archive.bridgesmathart.org/2000/bridges2000-125.pdf
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Paul Gailiunas
 
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Pages 133–140
 
  
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Musical Composition as Applied Mathematics: Set Theory and Probability in Iannis Xenakis's "Herma"
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* Paul Gailiunas: [[Spiral Tilings]]. In: [[Bridges 2000]]. Pages 133–140 http://archive.bridgesmathart.org/2000/bridges2000-133.html http://archive.bridgesmathart.org/2000/bridges2000-133.pdf
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Ronald Squibbs
 
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Pages 141–152
 
  
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Number Series as an Expression Model
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* Ronald Squibbs: Musical Composition as Applied Mathematics: Set Theory and Probability in Iannis Xenakis's "Herma". In: [[Bridges 2000]]. Pages 141–152 http://archive.bridgesmathart.org/2000/bridges2000-141.html http://archive.bridgesmathart.org/2000/bridges2000-141.pdf
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Elpida S. Tzafestas
 
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Pages 153–160
 
  
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An Iconography of Reason and Roses
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* Elpida S. Tzafestas: Number Series as an Expression Model. In: [[Bridges 2000]]. Pages 153–160 http://archive.bridgesmathart.org/2000/bridges2000-153.html http://archive.bridgesmathart.org/2000/bridges2000-153.pdf
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Sarah Stengle
 
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Pages 161–168
 
  
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The End of the Well-Tempered Clavichord?
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* Sarah Stengle: [[An Iconography of Reason and Roses]]. In: [[Bridges 2000]]. Pages 161–168 http://archive.bridgesmathart.org/2000/bridges2000-161.html http://archive.bridgesmathart.org/2000/bridges2000-161.pdf
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W. Douglas Maurer
 
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Pages 169–176
 
  
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The Generation of the Cube and the Cube as Generator
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* W. Douglas Maurer: The End of the Well-Tempered Clavichord? Pages 169–176 http://archive.bridgesmathart.org/2000/bridges2000-169.html http://archive.bridgesmathart.org/2000/bridges2000-169.pdf
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María Antonia Frías Sagardoy and Ana Belén de Isla Gómez
 
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Pages 177–184
 
  
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Applications of Fractal Geometry to the Player Piano Music of Conlon Nancarrow
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* María Antonia Frías Sagardoy and Ana Belén de Isla Gómez: The Generation of the Cube and the Cube as Generator. In: [[Bridges 2000]]. Pages 177–184 http://archive.bridgesmathart.org/2000/bridges2000-177.html http://archive.bridgesmathart.org/2000/bridges2000-177.pdf
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Julie Scrivener
 
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Pages 185–192
 
  
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Maximally Even Sets
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* Julie Scrivener: Applications of Fractal Geometry to the Player Piano Music of Conlon Nancarrow. In: [[Bridges 2000]]. Pages 185–192 http://archive.bridgesmathart.org/2000/bridges2000-185.html http://archive.bridgesmathart.org/2000/bridges2000-185.pdf
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Richard Krantz, Jack Douthett and John Clough
 
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Pages 193–200
 
  
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On Musical Space and Combinatorics: Historical and Conceptual Perspectives in Music Theory
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* Richard Krantz, Jack Douthett and John Clough: Maximally Even Sets. In: [[Bridges 2000]]. Pages 193–200 http://archive.bridgesmathart.org/2000/bridges2000-193.html http://archive.bridgesmathart.org/2000/bridges2000-193.pdf
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Catherine Nolan
 
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Pages 201–208
 
  
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The Millennium Bookball
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* Catherine Nolan: On Musical Space and Combinatorics: Historical and Conceptual Perspectives in Music Theory. In: [[Bridges 2000]]. Pages 201–208 http://archive.bridgesmathart.org/2000/bridges2000-201.html http://archive.bridgesmathart.org/2000/bridges2000-201.pdf
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George W. Hart
 
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Pages 209–216
 
  
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A Topology for Figural Ambiguity
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* George W. Hart: The Millennium Bookball. In: [[Bridges 2000]]. Pages 209–216 http://archive.bridgesmathart.org/2000/bridges2000-209.html http://archive.bridgesmathart.org/2000/bridges2000-209.pdf
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Thaddeus M. Cowan
 
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Pages 217–224
 
  
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Synetic Structure
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* Thaddeus M. Cowan: [[A Topology for Figural Ambiguity]]. In: [[Bridges 2000]]. Pages 217–224 http://archive.bridgesmathart.org/2000/bridges2000-217.html http://archive.bridgesmathart.org/2000/bridges2000-217.pdf
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F. Flowerday
 
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Pages 225–230
 
  
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From the Circle to the Icosahedron
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* F. Flowerday: Synetic Structure. In: [[Bridges 2000]]. Pages 225–230 http://archive.bridgesmathart.org/2000/bridges2000-225.html http://archive.bridgesmathart.org/2000/bridges2000-225.pdf
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Eva Knoll
 
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Pages 231–238
 
  
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Uniform Polychora
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* Eva Knoll: From the Circle to the Icosahedron. In: [[Bridges 2000]]. Pages 231–238 http://archive.bridgesmathart.org/2000/bridges2000-231.html http://archive.bridgesmathart.org/2000/bridges2000-231.pdf
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Jonathan Bowers
 
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Pages 239–246
 
  
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The Square, the Circle and the Golden Proportion - A New Class of Geometrical Constructions
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* Jonathan Bowers: [[Uniform Polychora]]. In: [[Bridges 2000]]. Pages 239–246 http://archive.bridgesmathart.org/2000/bridges2000-239.html http://archive.bridgesmathart.org/2000/bridges2000-239.pdf
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Janusz Kapusta
 
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Pages 247–254
 
  
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A Fresh Look at Number
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* Janusz Kapusta: [[The Square, the Circle and the Golden Proportion - A New Class of Geometrical Constructions]]. In: [[Bridges 2000]]. Pages 247–254 http://archive.bridgesmathart.org/2000/bridges2000-247.html http://archive.bridgesmathart.org/2000/bridges2000-247.pdf
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Jay Kappraff and Gary W. Adamson
 
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Pages 255–266
 
  
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On Growth and Form in Nature and Art: The Projective Geometry of Plant Buds and Greek Vases
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* Jay Kappraff and Gary W. Adamson: A Fresh Look at Number. In: [[Bridges 2000]]. Pages 255–266 http://archive.bridgesmathart.org/2000/bridges2000-255.html http://archive.bridgesmathart.org/2000/bridges2000-255.pdf
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Stephen Eberhart
 
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Pages 267–278
 
  
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Exploring Art with Mathematics and Computer Programming
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* Stephen Eberhart: [[On Growth and Form in Nature and Art: The Projective Geometry of Plant Buds and Greek Vases]]. In: [[Bridges 2000]]. Pages 267–278 http://archive.bridgesmathart.org/2000/bridges2000-267.html http://archive.bridgesmathart.org/2000/bridges2000-267.pdf
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Alberto López-Santoyo
 
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Pages 279–284
 
  
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Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons
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* Alberto López-Santoyo: Exploring Art with Mathematics and Computer Programming. In: [[Bridges 2000]]. Pages 279–284 http://archive.bridgesmathart.org/2000/bridges2000-279.html http://archive.bridgesmathart.org/2000/bridges2000-279-lopez.pdf
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Robert W. Fathauer
 
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Pages 285–292
 
  
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Polyhedral Models in Group Theory and Graph Theory
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* Robert W. Fathauer: [[Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons]]. In: [[Bridges 2000]]. Pages 285–292 http://archive.bridgesmathart.org/2000/bridges2000-285.html http://archive.bridgesmathart.org/2000/bridges2000-285.pdf
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Raymond F. Tennant
 
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Pages 293–300
 
  
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Generalized Koch Snowflakes
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* Raymond F. Tennant: Polyhedral Models in Group Theory and Graph Theory. In: [[Bridges 2000]]. Pages 293–300 http://archive.bridgesmathart.org/2000/bridges2000-293.html http://archive.bridgesmathart.org/2000/bridges2000-293.pdf
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Cheri Shakiban and Janine E. Bergstedt
 
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Pages 301–308
 
  
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Visualization: From Biology to Culture
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* Cheri Shakiban and Janine E. Bergstedt: [[Generalized Koch Snowflakes]]. In: [[Bridges 2000]]. Pages 301–308 http://archive.bridgesmathart.org/2000/bridges2000-301.html http://archive.bridgesmathart.org/2000/bridges2000-301.pdf
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Brent Collins
 
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Pages 309–314
 
  
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What Do you See?
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* Brent Collins: Visualization: From Biology to Culture. In: [[Bridges 2000]]. Pages 309–314 http://archive.bridgesmathart.org/2000/bridges2000-309.html http://archive.bridgesmathart.org/2000/bridges2000-309.pdf
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Nathaniel A. Friedman
 
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Pages 315–322
 
  
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Persian Arts: A Brief Study
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* Nathaniel A. Friedman: What Do you See? Pages 315–322 http://archive.bridgesmathart.org/2000/bridges2000-315.html http://archive.bridgesmathart.org/2000/bridges2000-315.pdf
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Reza Sarhangi
 
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Pages 323–330
 
  
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Polyhedra, Learning by Building: Design and Use of a Math-Ed Tool
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* Reza Sarhangi: Persian Arts: A Brief Study. In: [[Bridges 2000]]. Pages 323–330 http://archive.bridgesmathart.org/2000/bridges2000-323.html http://archive.bridgesmathart.org/2000/bridges2000-323.pdf
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Simon Morgan and Eva Knoll
 
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Pages 331–338
 
  
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Symmetry and Beauty of Human Faces
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* Simon Morgan and Eva Knoll: Polyhedra, Learning by Building: Design and Use of a Math-Ed Tool. In: [[Bridges 2000]]. Pages 331–338 http://archive.bridgesmathart.org/2000/bridges2000-331.html http://archive.bridgesmathart.org/2000/bridges2000-331.pdf
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Teresa Breyer
 
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Pages 339–346
 
  
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The Rubik's-Cube Design Problem
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* Teresa Breyer: [[Symmetry and Beauty of Human Faces]]. In: [[Bridges 2000]]. Pages 339–346 http://archive.bridgesmathart.org/2000/bridges2000-339.html http://archive.bridgesmathart.org/2000/bridges2000-339.pdf
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Hana M. Bizek
 
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Pages 347–352
 
  
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Mathematics and Art: Bill and Escher
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* Hana M. Bizek: The Rubik's-Cube Design Problem. In: [[Bridges 2000]]. Pages 347–352 http://archive.bridgesmathart.org/2000/bridges2000-347.html http://archive.bridgesmathart.org/2000/bridges2000-347.pdf
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Michele Emmer
 
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Pages 353–362
 
  
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Bridges, June Bugs, and Creativity
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* Michele Emmer: Mathematics and Art: Bill and Escher. In: [[Bridges 2000]]. Pages 353–362 http://archive.bridgesmathart.org/2000/bridges2000-353.html http://archive.bridgesmathart.org/2000/bridges2000-353.pdf
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Daniel F. Daniel and Gar Bethel
 
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Pages 363–368
 
  
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Saccades and Perceptual Geometry: Symmetry Detection through Entropy Minimization
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* Daniel F. Daniel and Gar Bethel: Bridges, June Bugs, and Creativity. In: [[Bridges 2000]]. Pages 363–368 http://archive.bridgesmathart.org/2000/bridges2000-363.html http://archive.bridgesmathart.org/2000/bridges2000-363.pdf
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Hamid Eghbalnia and Amir Assadi
 
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Pages 369–378
 
  
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Structures: Categorical and Cognitive
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* Hamid Eghbalnia and Amir Assadi: [[Saccades and Perceptual Geometry: Symmetry Detection through Entropy Minimization]]. In: [[Bridges 2000]]. Pages 369–378 http://archive.bridgesmathart.org/2000/bridges2000-369.html http://archive.bridgesmathart.org/2000/bridges2000-369.pdf
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Mara Alagić
 
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Pages 379–386
 
  
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Bridges between Antiquity and the New Turkish Architecture in the 19th Century
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* Mara Alagić: Structures: Categorical and Cognitive. In: [[Bridges 2000]]. Pages 379–386 http://archive.bridgesmathart.org/2000/bridges2000-379.html http://archive.bridgesmathart.org/2000/bridges2000-379.pdf
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Zafer Sagdic
 
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Pages 387–394
 
  
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Humor and Music in the Mathematics Classroom - Abstract
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* Zafer Sagdic: Bridges between Antiquity and the New Turkish Architecture in the 19th Century. In: [[Bridges 2000]]. Pages 387–394 http://archive.bridgesmathart.org/2000/bridges2000-387.html http://archive.bridgesmathart.org/2000/bridges2000-387.pdf
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James G. Eberhart
 
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Pages 395–395
 
  
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The Development of Integrated Curricula: Connections between Mathematics and the Arts - Abstracts
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* James G. Eberhart: Humor and Music in the Mathematics Classroom - Abstract. In: [[Bridges 2000]]. Pages 395–395 http://archive.bridgesmathart.org/2000/bridges2000-395.html http://archive.bridgesmathart.org/2000/bridges2000-395.pdf
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Virginia Usnick
 
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Pages 396–396
 
  
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The Golden Ratio and How it Pertains to Art - Abstract
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* Virginia Usnick: The Development of Integrated Curricula: Connections between Mathematics and the Arts - Abstracts. In: [[Bridges 2000]]. Pages 396–396 http://archive.bridgesmathart.org/2000/bridges2000-396.html http://archive.bridgesmathart.org/2000/bridges2000-396.pdf
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Michael J. Nasvadi and Mahbobeh Vezvaei
 
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Pages 397–397
 
  
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The Art and Mathematics of Tessellation - Abstract
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* Michael J. Nasvadi and Mahbobeh Vezvaei: The Golden Ratio and How it Pertains to Art - Abstract. In: [[Bridges 2000]]. Pages 397–397 http://archive.bridgesmathart.org/2000/bridges2000-397.html http://archive.bridgesmathart.org/2000/bridges2000-397.pdf
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Travis Ethridge
 
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Pages 398–398
 
  
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Biological Applications of Symmetry for the Classroom - Abstract
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* Travis Ethridge: The Art and Mathematics of Tessellation - Abstract. In: [[Bridges 2000]]. Pages 398–398 http://archive.bridgesmathart.org/2000/bridges2000-398.html http://archive.bridgesmathart.org/2000/bridges2000-398.pdf
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Patrick Ross
 
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Pages 399–399
 
  
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Exploring Technology in the Classroom - Abstract
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* Patrick Ross: Biological Applications of Symmetry for the Classroom - Abstract. In: [[Bridges 2000]]. Pages 399–399 http://archive.bridgesmathart.org/2000/bridges2000-399.html http://archive.bridgesmathart.org/2000/bridges2000-399.pdf
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Terry Quiett
 
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Pages 400–400
 
  
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On Visual Mathematics in Art - Abstract
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* Terry Quiett: Exploring Technology in the Classroom - Abstract. In: [[Bridges 2000]]. Pages 400–400 http://archive.bridgesmathart.org/2000/bridges2000-400.html http://archive.bridgesmathart.org/2000/bridges2000-400.pdf
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Clifford Singer
 
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Pages 401–402
 
  
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A Bridge for the Bridges - Abstract
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* Clifford Singer: On Visual Mathematics in Art - Abstract. In: [[Bridges 2000]]. Pages 401–402 http://archive.bridgesmathart.org/2000/bridges2000-401.html http://archive.bridgesmathart.org/2000/bridges2000-401.pdf
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Jason Barnett
 
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Pages 403–404
 
  
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* Jason Barnett: A Bridge for the Bridges - Abstract. In: [[Bridges 2000]]. Pages 403–404 http://archive.bridgesmathart.org/2000/bridges2000-403.html http://archive.bridgesmathart.org/2000/bridges2000-403.pdf
  
 
== Links ==
 
== Links ==
Zeile 242: Zeile 138:
 
=== Sonstige Links ===
 
=== Sonstige Links ===
 
http://bridgesmathart.org/past-conferences/2000-2/
 
http://bridgesmathart.org/past-conferences/2000-2/
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[[Konferenzen_und_Workshops_zur_Evolution%C3%A4ren_Kunst#The_Bridge_Conferences:_art_and_mathematics | zurück zu The Bridge Conferences: art and mathematics]]

Aktuelle Version vom 3. Februar 2015, 12:22 Uhr

zurück zu The Bridge Conferences: art and mathematics


Reference

Reza Sarhangi: Bridges 2000, Mathematics, Music, Art, Architecture, Culture. 3th Annual Bridges Conference, 2000. ISBN 0-9665201-2-2.

the pdfs are full of ocr errors!!!!!!!!!!!!!!!!!!!!! urls in references are mostly wrong: "/" often recognized as "l" !!!!!!!!!!!!!!!!!!!!!

DOI

Abstract

Extended Abstract

Reviews

Bibtex

Table of contents

Links

Full Text

http://archive.bridgesmathart.org/2000/index.html

intern file

Sonstige Links

http://bridgesmathart.org/past-conferences/2000-2/


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