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== Reference ==
 
== Reference ==
 
Reza Sarhangi and Robert V. Moody: Bridges 2005, Mathematics, Music, Art, Architecture, Culture. 8th Annual Bridges Conference, Banff, 2005. ISBN: 0-9665201-6-5
 
Reza Sarhangi and Robert V. Moody: Bridges 2005, Mathematics, Music, Art, Architecture, Culture. 8th Annual Bridges Conference, Banff, 2005. ISBN: 0-9665201-6-5
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* The Editors: Front Matter http://archive.bridgesmathart.org/2005/frontmatter.pdf
 
* The Editors: Front Matter http://archive.bridgesmathart.org/2005/frontmatter.pdf
  
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* Greg N. Frederickson: The Manifold Beauty of Piano-hinged Dissections. Pages 1–8 http://archive.bridgesmathart.org/2005/bridges2005-1.html http://archive.bridgesmathart.org/2005/bridges2005-1.pdf
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* Greg N. Frederickson: [[The Manifold Beauty of Piano-hinged Dissections]]. In: [[Bridges 2005]]. Pages 1–8 http://archive.bridgesmathart.org/2005/bridges2005-1.html http://archive.bridgesmathart.org/2005/bridges2005-1.pdf
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Recursion in Nature, Mathematics and Art
 
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Anne M. Burns
 
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Pages 9–16
 
  
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Fairfield Porter's Secret Geometry
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* Anne M. Burns: Recursion in Nature, Mathematics and Art. In: [[Bridges 2005]]. Pages 9–16 http://archive.bridgesmathart.org/2005/bridges2005-9.html http://archive.bridgesmathart.org/2005/bridges2005-9.pdf
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Chris Bartlett
 
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Pages 17–24
 
  
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Meanders
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* Chris Bartlett: Fairfield Porter's Secret Geometry. In: [[Bridges 2005]]. Pages 17–24 http://archive.bridgesmathart.org/2005/bridges2005-17.html http://archive.bridgesmathart.org/2005/bridges2005-17.pdf
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Paul Gailiunas
 
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Pages 25–30
 
  
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An Introduction to the Golden Tangram and its Tiling Properties
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* Paul Gailiunas: Meanders. In: [[Bridges 2005]]. Pages 25–30 http://archive.bridgesmathart.org/2005/bridges2005-25.html http://archive.bridgesmathart.org/2005/bridges2005-25.pdf
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Stanley Spencer
 
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Pages 31–36
 
  
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Spiral Tilings with C-curves Using Combinatorics to Augment Tradition
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* Stanley Spencer: [[An Introduction to the Golden Tangram and its Tiling Properties]]. In: [[Bridges 2005]]. Pages 31–36 http://archive.bridgesmathart.org/2005/bridges2005-31.html http://archive.bridgesmathart.org/2005/bridges2005-31.pdf
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Chris K. Palmer
 
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Pages 37–46
 
  
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The Euclidean Algorithm Generates Traditional Musical Rhythms
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* Chris K. Palmer: [[Spiral Tilings with C-curves Using Combinatorics to Augment Tradition]]. In: [[Bridges 2005]]. Pages 37–46 http://archive.bridgesmathart.org/2005/bridges2005-37.html http://archive.bridgesmathart.org/2005/bridges2005-37.pdf
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Godfried Toussaint
 
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Pages 47–56
 
  
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Malekula Sand Tracings: A Case in Ethnomathematics
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* Godfried Toussaint: The Euclidean Algorithm Generates Traditional Musical Rhythms. In: [[Bridges 2005]]. Pages 47–56 http://archive.bridgesmathart.org/2005/bridges2005-47.html http://archive.bridgesmathart.org/2005/bridges2005-47.pdf
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Marcia Ascher
 
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Pages 57–64
 
  
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Generative Art and Aesthetics
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* Marcia Ascher: Malekula Sand Tracings: A Case in Ethnomathematics. In: [[Bridges 2005]]. Pages 57–64 http://archive.bridgesmathart.org/2005/bridges2005-57.html http://archive.bridgesmathart.org/2005/bridges2005-57.pdf
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Susan Happersett
 
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Pages 65–66
 
  
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Geometry and Harmony
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* Susan Happersett: [[Generative Art and Aesthetics]]. In: [[Bridges 2005]]. Pages 65–66 http://archive.bridgesmathart.org/2005/bridges2005-65.html http://archive.bridgesmathart.org/2005/bridges2005-65.pdf
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David Rappaport
 
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Pages 67–72
 
  
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Mathematical Measures of Syncopation
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* David Rappaport: Geometry and Harmony. In: [[Bridges 2005]]. Pages 67–72 http://archive.bridgesmathart.org/2005/bridges2005-67.html http://archive.bridgesmathart.org/2005/bridges2005-67.pdf
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F. Gómez, A. Melvin, D. Rappaport and G.T. Toussaint
 
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Pages 73–84
 
  
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Mathematical Analogy and Metaphorical Insight
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* F. Gómez, A. Melvin, D. Rappaport and G.T. Toussaint: Mathematical Measures of Syncopation. In: [[Bridges 2005]]. Pages 73–84 http://archive.bridgesmathart.org/2005/bridges2005-73.html http://archive.bridgesmathart.org/2005/bridges2005-73.pdf
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Jan Zwicky
 
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Pages 85–92
 
  
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Beauty in Art and Mathematics: A Common Neural Substrate or the Limits of Language?
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* Jan Zwicky: Mathematical Analogy and Metaphorical Insight. In: [[Bridges 2005]]. Pages 85–92 http://archive.bridgesmathart.org/2005/bridges2005-85.html http://archive.bridgesmathart.org/2005/bridges2005-85.pdf
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Daniel J. Goldstein
 
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Pages 93–100
 
  
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Alice Boner and the Geometry of Temple Cave Art of India
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* Daniel J. Goldstein: Beauty in Art and Mathematics: A Common Neural Substrate or the Limits of Language? Pages 93–100 http://archive.bridgesmathart.org/2005/bridges2005-93.html http://archive.bridgesmathart.org/2005/bridges2005-93.pdf
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Robert V. Moody
 
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Pages 101–108
 
  
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A Ukrainian Easter Egg Monument Stands for Thirty Years
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* Robert V. Moody: Alice Boner and the Geometry of Temple Cave Art of India. In: [[Bridges 2005]]. Pages 101–108 http://archive.bridgesmathart.org/2005/bridges2005-101.html http://archive.bridgesmathart.org/2005/bridges2005-101.pdf
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Robert McDermott
 
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Pages 109–116
 
  
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The Harmony of the World
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* Robert McDermott: A Ukrainian Easter Egg Monument Stands for Thirty Years. In: [[Bridges 2005]]. Pages 109–116 http://archive.bridgesmathart.org/2005/bridges2005-109.html http://archive.bridgesmathart.org/2005/bridges2005-109.pdf
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Christopher Arthur
 
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Pages 117–118
 
  
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Pedagogical Principles for Teaching Art in Mathematics Courses
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* Christopher Arthur: The Harmony of the World. In: [[Bridges 2005]]. Pages 117–118 http://archive.bridgesmathart.org/2005/bridges2005-117.html http://archive.bridgesmathart.org/2005/bridges2005-117.pdf
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Russell Jay Hendel
 
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Pages 119–120
 
  
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D-forms and developable surfaces
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* Russell Jay Hendel: Pedagogical Principles for Teaching Art in Mathematics Courses. In: [[Bridges 2005]]. Pages 119–120 http://archive.bridgesmathart.org/2005/bridges2005-119.html http://archive.bridgesmathart.org/2005/bridges2005-119.pdf
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John Sharp
 
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Pages 121–128
 
  
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(Vector) Fields of Mathematical Poetry
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* John Sharp: D-forms and developable surfaces. In: [[Bridges 2005]]. Pages 121–128 http://archive.bridgesmathart.org/2005/bridges2005-121.html http://archive.bridgesmathart.org/2005/bridges2005-121.pdf
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Carla Farsi
 
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Pages 129–130
 
  
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Aspects of Symmetry in Arpachiyah Pottery
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* Carla Farsi: (Vector) Fields of Mathematical Poetry. In: [[Bridges 2005]]. Pages 129–130 http://archive.bridgesmathart.org/2005/bridges2005-129.html http://archive.bridgesmathart.org/2005/bridges2005-129.pdf
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Duncan J. Melville
 
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Pages 131–136
 
  
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Abstract Art from a Model for Cellular Morphogenesis
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* Duncan J. Melville: Aspects of Symmetry in Arpachiyah Pottery. In: [[Bridges 2005]]. Pages 131–136 http://archive.bridgesmathart.org/2005/bridges2005-131.html http://archive.bridgesmathart.org/2005/bridges2005-131.pdf
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Gary R. Greenfield
 
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Pages 137–142
 
  
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The Complexity of the Musical Vocabulary of the Nzakara Harpists
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* [[Gary Greenfield]]: [[Abstract Art from a Model for Cellular Morphogenesis]]. In: [[Bridges 2005]]. Pages 137–142 http://archive.bridgesmathart.org/2005/bridges2005-137.html http://archive.bridgesmathart.org/2005/bridges2005-137.pdf
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Barbra Gregory
 
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Pages 143–148
 
  
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A Computerized Environment for Learning and Teaching 3-D Geometry
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* Barbra Gregory: The Complexity of the Musical Vocabulary of the Nzakara Harpists. In: [[Bridges 2005]]. Pages 143–148 http://archive.bridgesmathart.org/2005/bridges2005-143.html http://archive.bridgesmathart.org/2005/bridges2005-143.pdf
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Irit Wertheim, Emzar Panikashvili, Gershon Elber and Nitsa Movshovitz-Hadar
 
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Pages 149–154
 
  
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Symmetry and the Sacred Date Palm in the Palace of Ashurnasirpal II, King of Assyria
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* Irit Wertheim, Emzar Panikashvili, Gershon Elber and Nitsa Movshovitz-Hadar: A Computerized Environment for Learning and Teaching 3-D Geometry. In: [[Bridges 2005]]. Pages 149–154 http://archive.bridgesmathart.org/2005/bridges2005-149.html http://archive.bridgesmathart.org/2005/bridges2005-149.pdf
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Sarah C. Melville
 
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Pages 155–160
 
  
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Three-Dimensional and Dynamic Constructions Based on Leonardo Grids
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* Sarah C. Melville: Symmetry and the Sacred Date Palm in the Palace of Ashurnasirpal II, King of Assyria. In: [[Bridges 2005]]. Pages 155–160 http://archive.bridgesmathart.org/2005/bridges2005-155.html http://archive.bridgesmathart.org/2005/bridges2005-155.pdf
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Rinus Roelofs
 
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Pages 161–168
 
  
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The Droste-Effect and the Exponential Transform
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* Rinus Roelofs: [[Three-Dimensional and Dynamic Constructions Based on Leonardo Grids]]. In: [[Bridges 2005]]. Pages 161–168 http://archive.bridgesmathart.org/2005/bridges2005-161.html http://archive.bridgesmathart.org/2005/bridges2005-161.pdf
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Bart de Smit
 
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Pages 169–178
 
  
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Some Surprising New Properties of the Spidrons
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* Bart de Smit: [[The Droste-Effect and the Exponential Transform]]. In: [[Bridges 2005]]. Pages 169–178 http://archive.bridgesmathart.org/2005/bridges2005-169.html http://archive.bridgesmathart.org/2005/bridges2005-169.pdf
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Dániel Erdély
 
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Pages 179–186
 
  
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Video Screening
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* Dániel Erdély: Some Surprising New Properties of the Spidrons. In: [[Bridges 2005]]. Pages 179–186 http://archive.bridgesmathart.org/2005/bridges2005-179.html http://archive.bridgesmathart.org/2005/bridges2005-179.pdf
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Jinnah Yu and Ergun Akleman
 
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Pages 187–194
 
  
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Detecting Meter in Recorded Music
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* Jinnah Yu and Ergun Akleman: Video Screening. In: [[Bridges 2005]]. Pages 187–194 http://archive.bridgesmathart.org/2005/bridges2005-187.html http://archive.bridgesmathart.org/2005/bridges2005-187.pdf
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Joseph E. Flannick, Rachel W. Hall and Robert Kelly
 
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Pages 195–202
 
  
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Solidifying Wireframes
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* Joseph E. Flannick, Rachel W. Hall and Robert Kelly: Detecting Meter in Recorded Music. In: [[Bridges 2005]]. Pages 195–202 http://archive.bridgesmathart.org/2005/bridges2005-195.html http://archive.bridgesmathart.org/2005/bridges2005-195.pdf
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Vinod Srinivasan, Esan Mandal and Ergun Akleman
 
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Pages 203–210
 
  
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Splitting Tori, Knots, and Moebius Bands
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* Vinod Srinivasan, Esan Mandal and Ergun Akleman: [[Solidifying Wireframes]]. In: [[Bridges 2005]]. Pages 203–210 http://archive.bridgesmathart.org/2005/bridges2005-203.html http://archive.bridgesmathart.org/2005/bridges2005-203.pdf
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Carlo H. Séquin
 
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Pages 211–218
 
  
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Symmetry and Symmetry-Breaking - An Approach to Understanding Beauty
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* Carlo H. Séquin: Splitting Tori, Knots, and Moebius Bands. In: [[Bridges 2005]]. Pages 211–218 http://archive.bridgesmathart.org/2005/bridges2005-211.html http://archive.bridgesmathart.org/2005/bridges2005-211.pdf
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Carol Bier
 
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Pages 219–226
 
  
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An Interdisciplinary Course: "On Beauty: Perspective, Proportion, and Rationalism in Western Culture"
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* Carol Bier: [[Symmetry and Symmetry-Breaking - An Approach to Understanding Beauty]]. In: [[Bridges 2005]]. Pages 219–226 http://archive.bridgesmathart.org/2005/bridges2005-219.html http://archive.bridgesmathart.org/2005/bridges2005-219.pdf
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Alison Fleming, Sharon Frechette and Sarah Luria
 
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Pages 227–230
 
  
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Looking At Math: Using Art to Teach Mathematics
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* Alison Fleming, Sharon Frechette and Sarah Luria: An Interdisciplinary Course: "On Beauty: Perspective, Proportion, and Rationalism in Western Culture". In: [[Bridges 2005]]. Pages 227–230 http://archive.bridgesmathart.org/2005/bridges2005-227.html http://archive.bridgesmathart.org/2005/bridges2005-227.pdf
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Pau Atela
 
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Pages 231–236
 
  
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Using 3-D Models as Image Generators For Digital Fiction
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* Pau Atela: Looking At Math: Using Art to Teach Mathematics. In: [[Bridges 2005]]. Pages 231–236 http://archive.bridgesmathart.org/2005/bridges2005-231.html http://archive.bridgesmathart.org/2005/bridges2005-231.pdf
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Michael Mahan
 
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Pages 237–244
 
  
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Fermat's Spiral Mandalas
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* Michael Mahan: Using 3-D Models as Image Generators For Digital Fiction. In: [[Bridges 2005]]. Pages 237–244 http://archive.bridgesmathart.org/2005/bridges2005-237.html http://archive.bridgesmathart.org/2005/bridges2005-237.pdf
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Robert J. Krawczyk
 
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Pages 245–250
 
  
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Symmetry, Proportion and Scale: Tools for the Jacquard Designer and Weaver of Silk Velvet
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* Robert J. Krawczyk: Fermat's Spiral Mandalas. In: [[Bridges 2005]]. Pages 245–250 http://archive.bridgesmathart.org/2005/bridges2005-245.html http://archive.bridgesmathart.org/2005/bridges2005-245.pdf
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Barbara Setsu Pickett
 
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Pages 251–254
 
  
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Circular Distributions and Spectra Variations in Music, How Even is Even?
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* Barbara Setsu Pickett: Symmetry, Proportion and Scale: Tools for the Jacquard Designer and Weaver of Silk Velvet. In: [[Bridges 2005]]. Pages 251–254 http://archive.bridgesmathart.org/2005/bridges2005-251.html http://archive.bridgesmathart.org/2005/bridges2005-251.pdf
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Richard J. Krantz and Jack Douthett
 
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Pages 255–262
 
  
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Illustrating Number Sequences
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* Richard J. Krantz and Jack Douthett: Circular Distributions and Spectra Variations in Music, How Even is Even? Pages 255–262 http://archive.bridgesmathart.org/2005/bridges2005-255.html http://archive.bridgesmathart.org/2005/bridges2005-255.pdf
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L. Kerry Mitchell
 
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Pages 263–268
 
  
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Geometrical, Perceptual, and Cultural Perspectives on Figure/Ground Differences in Bakuba Pattern
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* L. Kerry Mitchell: [[Illustrating Number Sequences]]. In: [[Bridges 2005]]. Pages 263–268 http://archive.bridgesmathart.org/2005/bridges2005-263.html http://archive.bridgesmathart.org/2005/bridges2005-263.pdf
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Donald W. Crowe and Dorothy K. Washburn
 
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Pages 269–276
 
  
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A Perspective on Infinity: Anamorphism and Stereographic Projection
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* Donald W. Crowe and Dorothy K. Washburn: Geometrical, Perceptual, and Cultural Perspectives on Figure/Ground Differences in Bakuba Pattern. In: [[Bridges 2005]]. Pages 269–276 http://archive.bridgesmathart.org/2005/bridges2005-269.html http://archive.bridgesmathart.org/2005/bridges2005-269.pdf
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Michael Frantz
 
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Pages 277–284
 
  
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A Geometric Analysis of the Seven Heavens
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* Michael Frantz: A Perspective on Infinity: Anamorphism and Stereographic Projection. In: [[Bridges 2005]]. Pages 277–284 http://archive.bridgesmathart.org/2005/bridges2005-277.html http://archive.bridgesmathart.org/2005/bridges2005-277.pdf
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B. Lynn Bodner
 
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Pages 285–292
 
  
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On Parsimonious Sequences as Scales in Western Music
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* B. Lynn Bodner: [[A Geometric Analysis of the Seven Heavens]]. In: [[Bridges 2005]]. Pages 285–292 http://archive.bridgesmathart.org/2005/bridges2005-285.html http://archive.bridgesmathart.org/2005/bridges2005-285.pdf
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Richard Hermann and Jack Douthett
 
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Pages 293–300
 
  
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TSP Art
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* Richard Hermann and Jack Douthett: On Parsimonious Sequences as Scales in Western Music. In: [[Bridges 2005]]. Pages 293–300 http://archive.bridgesmathart.org/2005/bridges2005-293.html http://archive.bridgesmathart.org/2005/bridges2005-293.pdf
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Craig S. Kaplan and Robert Bosch
 
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Pages 301–308
 
  
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Digitally Spelunking the Spline Mine
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* Craig S. Kaplan and Robert Bosch: TSP Art. In: [[Bridges 2005]]. Pages 301–308 http://archive.bridgesmathart.org/2005/bridges2005-301.html http://archive.bridgesmathart.org/2005/bridges2005-301.pdf
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Curtis Palmer
 
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Pages 309–312
 
  
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An Approach in Coloring Semi-Regular Tilings on the Hyperbolic Plane
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* Curtis Palmer: [[Digitally Spelunking the Spline Mine]]. In: [[Bridges 2005]]. Pages 309–312 http://archive.bridgesmathart.org/2005/bridges2005-309.html http://archive.bridgesmathart.org/2005/bridges2005-309.pdf
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Ma. Louise Antonette N. De Las Peñas, Glenn R. Laigo and René P. Felix
 
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Pages 313–320
 
  
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Two and Three-Dimensional Art Inspired by Polynomiography
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* Ma. Louise Antonette N. De Las Peñas, Glenn R. Laigo and René P. Felix: An Approach in Coloring Semi-Regular Tilings on the Hyperbolic Plane. In: [[Bridges 2005]]. Pages 313–320 http://archive.bridgesmathart.org/2005/bridges2005-313.html http://archive.bridgesmathart.org/2005/bridges2005-313.pdf
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Bahman Kalantari
 
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Pages 321–328
 
  
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Tessellations from Group Actions and the Mystery of Escher's Solid
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* Bahman Kalantari: [[Two and Three-Dimensional Art Inspired by Polynomiography]]. In: [[Bridges 2005]]. Pages 321–328 http://archive.bridgesmathart.org/2005/bridges2005-321.html http://archive.bridgesmathart.org/2005/bridges2005-321.pdf
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Ioana Mihaila
 
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Pages 329–330
 
  
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Wisdom in Art: Mathematics in Islamic Architecture in Iran
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* Ioana Mihaila: Tessellations from Group Actions and the Mystery of Escher's Solid. In: [[Bridges 2005]]. Pages 329–330 http://archive.bridgesmathart.org/2005/bridges2005-329.html http://archive.bridgesmathart.org/2005/bridges2005-329.pdf
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Hourieh Mashayekh
 
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Pages 331–336
 
  
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NAMAN: Dream Altars, Vietnam: A Search for use of the Golden Mean and its Affect on Design and Content
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* Hourieh Mashayekh: Wisdom in Art: Mathematics in Islamic Architecture in Iran. In: [[Bridges 2005]]. Pages 331–336 http://archive.bridgesmathart.org/2005/bridges2005-331.html http://archive.bridgesmathart.org/2005/bridges2005-331.pdf
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Michael McConnell and Jim Rose
 
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Pages 337–338
 
  
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Aesthetic Aspects of Venn Diagrams
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* Michael McConnell and Jim Rose: NAMAN: Dream Altars, Vietnam: A Search for use of the Golden Mean and its Affect on Design and Content. In: [[Bridges 2005]]. Pages 337–338 http://archive.bridgesmathart.org/2005/bridges2005-337.html http://archive.bridgesmathart.org/2005/bridges2005-337.pdf
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Barry Cipra, Peter Hamburger and Edit Hepp
 
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Pages 339–342
 
  
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Dynamics on Discrete Structures: A Dialog between Squares and Circles
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* Barry Cipra, Peter Hamburger and Edit Hepp: Aesthetic Aspects of Venn Diagrams. In: [[Bridges 2005]]. Pages 339–342 http://archive.bridgesmathart.org/2005/bridges2005-339.html http://archive.bridgesmathart.org/2005/bridges2005-339.pdf
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Tiziana Giorgi and Robert Smits
 
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Pages 343–344
 
  
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Strange Physical Motion of Balls in a Cylinder
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* Tiziana Giorgi and Robert Smits: Dynamics on Discrete Structures: A Dialog between Squares and Circles. In: [[Bridges 2005]]. Pages 343–344 http://archive.bridgesmathart.org/2005/bridges2005-343.html http://archive.bridgesmathart.org/2005/bridges2005-343.pdf
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Akihiro Matsuura
 
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Pages 345–346
 
  
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z-Irrationality search: After a Golden Section Approach, Another Esthetic but Vain Attempt
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* Akihiro Matsuura: Strange Physical Motion of Balls in a Cylinder. In: [[Bridges 2005]]. Pages 345–346 http://archive.bridgesmathart.org/2005/bridges2005-345.html http://archive.bridgesmathart.org/2005/bridges2005-345.pdf
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Dirk Huylebrouck
 
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Pages 347–348
 
  
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Aliasing Artifacts and Accidental Algorithmic Art
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* Dirk Huylebrouck: z-Irrationality search: After a Golden Section Approach, Another Esthetic but Vain Attempt. In: [[Bridges 2005]]. Pages 347–348 http://archive.bridgesmathart.org/2005/bridges2005-347.html http://archive.bridgesmathart.org/2005/bridges2005-347.pdf
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Craig S. Kaplan
 
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Pages 349–356
 
  
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Symmetries and Design Science: Two Graduate Courses for a Mathematics Education Program
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* [[Craig S. Kaplan]]: [[Aliasing Artifacts and Accidental Algorithmic Art]]. In: [[Bridges 2005]]. Pages 349–356 http://archive.bridgesmathart.org/2005/bridges2005-349.html http://archive.bridgesmathart.org/2005/bridges2005-349.pdf
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Reza Sarhangi and Jay Zimmerman
 
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Pages 357–366
 
  
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Making Mathematical Posters
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* Reza Sarhangi and Jay Zimmerman: [[Symmetries and Design Science: Two Graduate Courses for a Mathematics Education Program]]. In: [[Bridges 2005]]. Pages 357–366 http://archive.bridgesmathart.org/2005/bridges2005-357.html http://archive.bridgesmathart.org/2005/bridges2005-357.pdf
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Ulrich Hermisson and Robert V. Moody
 
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Pages 367–368
 
  
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Golden Fields, Generalized Fibonacci Sequences, and Chaotic Matrices
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* Ulrich Hermisson and Robert V. Moody: Making Mathematical Posters. In: [[Bridges 2005]]. Pages 367–368 http://archive.bridgesmathart.org/2005/bridges2005-367.html http://archive.bridgesmathart.org/2005/bridges2005-367.pdf
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Jay Kappraff, Slavik Jablan, Gary Adamson and Radmila Sazdanovich
 
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Pages 369–378
 
  
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Space from Nonspace: Emergent Spatiality in Dynamic Graphs
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* Jay Kappraff, Slavik Jablan, Gary Adamson and Radmila Sazdanovich: Golden Fields, Generalized Fibonacci Sequences, and Chaotic Matrices. In: [[Bridges 2005]]. Pages 369–378 http://archive.bridgesmathart.org/2005/bridges2005-369.html http://archive.bridgesmathart.org/2005/bridges2005-369.pdf
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Tim Boykett
 
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Pages 379–380
 
  
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Satellite Ballet by Flower Constellations
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* Tim Boykett: Space from Nonspace: Emergent Spatiality in Dynamic Graphs. In: [[Bridges 2005]]. Pages 379–380 http://archive.bridgesmathart.org/2005/bridges2005-379.html http://archive.bridgesmathart.org/2005/bridges2005-379.pdf
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Daniele Mortari
 
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Pages 381–382
 
  
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Anamorphosis.com: Computers, Mathematics and Art
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* Daniele Mortari: Satellite Ballet by Flower Constellations. In: [[Bridges 2005]]. Pages 381–382 http://archive.bridgesmathart.org/2005/bridges2005-381.html http://archive.bridgesmathart.org/2005/bridges2005-381.pdf
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Phillip Kent
 
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Pages 383–384
 
  
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Mathematical Models of Gothic Structures
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* Phillip Kent: Anamorphosis.com: Computers, Mathematics and Art. In: [[Bridges 2005]]. Pages 383–384 http://archive.bridgesmathart.org/2005/bridges2005-383.html http://archive.bridgesmathart.org/2005/bridges2005-383.pdf
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Javier Barrallo and Santiago Sanchez-Beitia
 
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Pages 385–392
 
  
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Donald Coxeter: The Man who Saved Geometry
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* Javier Barrallo and Santiago Sanchez-Beitia: Mathematical Models of Gothic Structures. In: [[Bridges 2005]]. Pages 385–392 http://archive.bridgesmathart.org/2005/bridges2005-385.html http://archive.bridgesmathart.org/2005/bridges2005-385.pdf
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Siobhan Roberts
 
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Pages 393–402
 
  
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Symmetric Linear Constructions in Motion
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* Siobhan Roberts: Donald Coxeter: The Man who Saved Geometry. In: [[Bridges 2005]]. Pages 393–402 http://archive.bridgesmathart.org/2005/bridges2005-393.html http://archive.bridgesmathart.org/2005/bridges2005-393.pdf
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Douglas G. Burkholder
 
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Pages 403–410
 
  
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Coxetering Crystals
+
* Douglas G. Burkholder: Symmetric Linear Constructions in Motion. In: [[Bridges 2005]]. Pages 403–410 http://archive.bridgesmathart.org/2005/bridges2005-403.html http://archive.bridgesmathart.org/2005/bridges2005-403.pdf
−
Marjorie Senechal
 
−
Pages 411–418
 
  
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Two Results Concerning the Zome Model of the 600-Cell
+
* Marjorie Senechal: Coxetering Crystals. In: [[Bridges 2005]]. Pages 411–418 http://archive.bridgesmathart.org/2005/bridges2005-411.html http://archive.bridgesmathart.org/2005/bridges2005-411.pdf
−
David A. Richter
 
−
Pages 419–426
 
  
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Fractal Tilings Based on Dissections of Polyhexes
+
* David A. Richter: Two Results Concerning the Zome Model of the 600-Cell. In: [[Bridges 2005]]. Pages 419–426 http://archive.bridgesmathart.org/2005/bridges2005-419.html http://archive.bridgesmathart.org/2005/bridges2005-419.pdf
−
Robert W. Fathauer
 
−
Pages 427–434
 
  
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Mosaic Art: from Pebbles to Pixels
+
* Robert W. Fathauer: [[Fractal Tilings Based on Dissections of Polyhexes]]. In: [[Bridges 2005]]. Pages 427–434 http://archive.bridgesmathart.org/2005/bridges2005-427.html http://archive.bridgesmathart.org/2005/bridges2005-427.pdf
−
Irene Rousseau
 
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Pages 435–442
 
  
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Serial Polar Transformation Motifs Revisited
+
* Irene Rousseau: Mosaic Art: from Pebbles to Pixels. In: [[Bridges 2005]]. Pages 435–442 http://archive.bridgesmathart.org/2005/bridges2005-435.html http://archive.bridgesmathart.org/2005/bridges2005-435.pdf
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Gary R. Greenfield
 
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Pages 443–448
 
  
 +
* [[Gary Greenfield]]: [[Serial Polar Transformation Motifs Revisited]]. In: [[Bridges 2005]]. Pages 443–448 http://archive.bridgesmathart.org/2005/bridges2005-443.html http://archive.bridgesmathart.org/2005/bridges2005-443.pdf
  
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Orderly Tangles Revisited
+
* George W. Hart: Orderly Tangles Revisited. In: [[Bridges 2005]]. Pages 449–456 http://archive.bridgesmathart.org/2005/bridges2005-449.html http://archive.bridgesmathart.org/2005/bridges2005-449.pdf
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George W. Hart
 
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Pages 449–456
 
  
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Factor Group Transformations on Escher Patterns
+
* Joshua Jacobs: [[Factor Group Transformations on Escher Patterns]]. In: [[Bridges 2005]]. Pages 457–462 http://archive.bridgesmathart.org/2005/bridges2005-457.html http://archive.bridgesmathart.org/2005/bridges2005-457.pdf
−
Joshua Jacobs
 
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Pages 457–462
 
  
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Symmetrical Hamiltonian Manifolds on Regular 3D and 4D Polytopes
+
* Carlo H. Séquin: Symmetrical Hamiltonian Manifolds on Regular 3D and 4D Polytopes. In: [[Bridges 2005]]. Pages 463–472 http://archive.bridgesmathart.org/2005/bridges2005-463.html http://archive.bridgesmathart.org/2005/bridges2005-463.pdf
−
Carlo H. Séquin
 
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Pages 463–472
 
  
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Coxeter and the Artists: Two-Way Inspiration, Part 2
+
* Doris Schattschneider: Coxeter and the Artists: Two-Way Inspiration, Part 2. In: [[Bridges 2005]]. Pages 473–480 http://archive.bridgesmathart.org/2005/bridges2005-473.html http://archive.bridgesmathart.org/2005/bridges2005-473.pdf
−
Doris Schattschneider
 
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Pages 473–480
 
  
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Polyhedral Transformation: Explosion-Implosion
+
* Robert McDermott: Polyhedral Transformation: Explosion-Implosion. In: [[Bridges 2005]]. Pages 481–488 http://archive.bridgesmathart.org/2005/bridges2005-481.html http://archive.bridgesmathart.org/2005/bridges2005-481.pdf
−
Robert McDermott
 
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Pages 481–488
 
  
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Some New Tilings of the Sphere with Congruent Triangles
+
* Robert J. MacG. Dawson: Some New Tilings of the Sphere with Congruent Triangles. In: [[Bridges 2005]]. Pages 489–496 http://archive.bridgesmathart.org/2005/bridges2005-489.html http://archive.bridgesmathart.org/2005/bridges2005-489.pdf
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Robert J. MacG. Dawson
 
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Pages 489–496
 
  
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H.S.M. Coxeter and Tony Bomford's Colored Hyperbolic Rugs
+
* Douglas Dunham: H.S.M. Coxeter and Tony Bomford's Colored Hyperbolic Rugs. In: [[Bridges 2005]]. Pages 497–504 http://archive.bridgesmathart.org/2005/bridges2005-497.html http://archive.bridgesmathart.org/2005/bridges2005-497.pdf
−
Douglas Dunham
 
−
Pages 497–504
 
  
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Paper Polylinks
+
* George W. Hart: Paper Polylinks. In: [[Bridges 2005]]. Pages 505–508 http://archive.bridgesmathart.org/2005/bridges2005-505.html http://archive.bridgesmathart.org/2005/bridges2005-505.pdf
−
George W. Hart
 
−
Pages 505–508
 
  
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A Thousand Cranes and Statistics
+
* Cheryl Whitelaw: A Thousand Cranes and Statistics. In: [[Bridges 2005]]. Pages 509–510 http://archive.bridgesmathart.org/2005/bridges2005-509.html http://archive.bridgesmathart.org/2005/bridges2005-509.pdf
−
Cheryl Whitelaw
 
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Pages 509–510
 
  
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A Method for Illustrating Border and Wallpaper Patterns
+
* Gwen L. Fisher: A Method for Illustrating Border and Wallpaper Patterns. In: [[Bridges 2005]]. Pages 511–518 http://archive.bridgesmathart.org/2005/bridges2005-511.html http://archive.bridgesmathart.org/2005/bridges2005-511.pdf
−
Gwen L. Fisher
 
−
Pages 511–518
 
  
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Tessellation Techniques
+
* Stefanie Mandelbaum and Jacqueline S. Guttman: Tessellation Techniques. In: [[Bridges 2005]]. Pages 519–520 http://archive.bridgesmathart.org/2005/bridges2005-519.html http://archive.bridgesmathart.org/2005/bridges2005-519.pdf
−
Stefanie Mandelbaum and Jacqueline S. Guttman
 
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Pages 519–520
 
  
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Connecting Gross-motor Movement, Dance, and Mathematics in the Elementary Curriculum
+
* Virginia Usnick and Marilyn Sue Ford: Connecting Gross-motor Movement, Dance, and Mathematics in the Elementary Curriculum. In: [[Bridges 2005]]. Pages 521–522 http://archive.bridgesmathart.org/2005/bridges2005-521.html http://archive.bridgesmathart.org/2005/bridges2005-521.pdf
−
Virginia Usnick and Marilyn Sue Ford
 
−
Pages 521–522
 
  
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A Physical Proof for Five and Only Five Regular Solids
+
* Robert McDermott: A Physical Proof for Five and Only Five Regular Solids. In: [[Bridges 2005]]. Pages 523–528 http://archive.bridgesmathart.org/2005/bridges2005-523.html http://archive.bridgesmathart.org/2005/bridges2005-523.pdf
−
Robert McDermott
 
−
Pages 523–528
 
−
 
 
−
Playing Mathematics and Doing Music
 
−
John Belcher
 
−
Pages 529–530
 
−
 
 
−
Dynamic Geometry/Art in Mathematics Classroom
 
−
Mara Alagic and Diana Palenz
 
−
Pages 531–535
 
  
 +
* John Belcher: Playing Mathematics and Doing Music. In: [[Bridges 2005]]. Pages 529–530 http://archive.bridgesmathart.org/2005/bridges2005-529.html http://archive.bridgesmathart.org/2005/bridges2005-529.pdf
  
 +
* Mara Alagic and Diana Palenz: Dynamic Geometry/Art in Mathematics Classroom. In: [[Bridges 2005]]. Pages 531–535 http://archive.bridgesmathart.org/2005/bridges2005-531.html http://archive.bridgesmathart.org/2005/bridges2005-531.pdf
  
 
== Links ==
 
== Links ==
Zeile 360: Zeile 194:
 
=== Sonstige Links ===
 
=== Sonstige Links ===
 
http://www.bridgesmathart.org/2005_Program.html
 
http://www.bridgesmathart.org/2005_Program.html
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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]]

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Reference

Reza Sarhangi and Robert V. Moody: Bridges 2005, Mathematics, Music, Art, Architecture, Culture. 8th Annual Bridges Conference, Banff, 2005. ISBN: 0-9665201-6-5

DOI

Abstract

Extended Abstract

Reviews

Bibtex

Table of contents

Links

Full Text

http://archive.bridgesmathart.org/2005/index.html

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