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* Donald W. Crowe: Symmetries of Culture. Pages 1–20 http://archive.bridgesmathart.org/2001/bridges2001-1.html http://archive.bridgesmathart.org/2001/bridges2001-1.pdf
 
* Donald W. Crowe: Symmetries of Culture. Pages 1–20 http://archive.bridgesmathart.org/2001/bridges2001-1.html http://archive.bridgesmathart.org/2001/bridges2001-1.pdf
  
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Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons
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* Craig S. Kaplan and George W. Hart: Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons. Pages 21–28
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Craig S. Kaplan and George W. Hart
 
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Pages 21–28
 
  
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Curving Spirolaterals
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* Robert J. Krawczyk: Curving Spirolaterals. Pages 29–36
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Robert J. Krawczyk
 
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Pages 29–36
 
  
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Come un meccanismo di precisione: The Third Movement of Ligeti's Second String Quartet
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* Diane Luchese: Come un meccanismo di precisione: The Third Movement of Ligeti's Second String Quartet. Pages 37–46
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Diane Luchese
 
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Pages 37–46
 
  
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The Poetry of Infinity
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* Lorna B. Hanes: The Poetry of Infinity. Pages 47–54
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Lorna B. Hanes
 
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Pages 47–54
 
  
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Antisymmetry and Modularity in Ornamental Art
+
* Ljiljana Radovic and Slavik Jablan: Antisymmetry and Modularity in Ornamental Art. Pages 55–66
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Ljiljana Radovic and Slavik Jablan
 
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Pages 55–66
 
  
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Polygons and Chaos
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* Jay Kappraff and Gary W. Adamson: Polygons and Chaos. Pages 67–80
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Jay Kappraff and Gary W. Adamson
 
−
Pages 67–80
 
  
−
Geometries of Curvature and their Aesthetics
+
* Brent Collins: Geometries of Curvature and their Aesthetics. Pages 81–88
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Brent Collins
 
−
Pages 81–88
 
  
−
Fractals and Multi-Layer Coloring Algorithms
+
* Javier Barrallo and Santiago Sanchez: Fractals and Multi-Layer Coloring Algorithms. Pages 89–94
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Javier Barrallo and Santiago Sanchez
 
−
Pages 89–94
 
  
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Fountain of Creation -- Design vs. Meta-Design
+
* Carlo H. Séquin: Fountain of Creation -- Design vs. Meta-Design. Pages 95–102
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Carlo H. Séquin
 
−
Pages 95–102
 
  
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TimeSculpture -- Constructing Social Geometries
+
* John Sims: TimeSculpture -- Constructing Social Geometries. Pages 103–108
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John Sims
 
−
Pages 103–108
 
  
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Each Moment a Culmination: The Poetry of Gar Bethel
+
* Daniel F. Daniel: Each Moment a Culmination: The Poetry of Gar Bethel. Pages 109–114
−
Daniel F. Daniel
 
−
Pages 109–114
 
  
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A Polyhedral Byway
+
* Paul Gailiunas: A Polyhedral Byway. Pages 115–122
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Paul Gailiunas
 
−
Pages 115–122
 
  
−
Flatland, Curved Space: How M.C. Escher Illustrated the History of Geometry
+
* Steven Gimbel: Flatland, Curved Space: How M.C. Escher Illustrated the History of Geometry. Pages 123–132
−
Steven Gimbel
 
−
Pages 123–132
 
  
−
Better by the Dozen
+
* C. Hugh Snyder: Better by the Dozen. Pages 133–138
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C. Hugh Snyder
 
−
Pages 133–138
 
  
−
Functional Image Synthesis
+
* Conal Elliott: Functional Image Synthesis. Pages 139–158
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Conal Elliott
 
−
Pages 139–158
 
  
−
The Use of Ratios in the Player Piano Studies of Conlon Nancarrow
+
* Julie Scrivener: The Use of Ratios in the Player Piano Studies of Conlon Nancarrow. Pages 159–166
−
Julie Scrivener
 
−
Pages 159–166
 
  
−
Blending Polyhedra with Overlays
+
* Douglas Zongker and George W. Hart: Blending Polyhedra with Overlays. Pages 167–174
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Douglas Zongker and George W. Hart
 
−
Pages 167–174
 
  
−
Humor and Music in the Mathematics Classroom
+
* J.G. Eberhart: Humor and Music in the Mathematics Classroom. Pages 175–180
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J.G. Eberhart
 
−
Pages 175–180
 
  
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On the Construction of Colored Plane Crystallographic Patterns
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* Ma. Louise Antonette N. De Las Peñas: On the Construction of Colored Plane Crystallographic Patterns. Pages 181–192
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Ma. Louise Antonette N. De Las Peñas
 
−
Pages 181–192
 
  
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Finding Fibonacci: An Interdisciplinary Liberal Arts Course Based on Mathematical Patterns
+
* Margie Ribble: Finding Fibonacci: An Interdisciplinary Liberal Arts Course Based on Mathematical Patterns. Pages 193–200
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Margie Ribble
 
−
Pages 193–200
 
  
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An Interactive Creation of Polyhedra Stellations with Various Symmetries
+
* Vladimir Bulatov: An Interactive Creation of Polyhedra Stellations with Various Symmetries. Pages 201–212
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Vladimir Bulatov
 
−
Pages 201–212
 
  
−
The Complexity and Difficulty of a Maze
+
* Michael Scott McClendon: The Complexity and Difficulty of a Maze. Pages 213–222
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Michael Scott McClendon
 
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Pages 213–222
 
  
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The Influence and Use of Music and Mathematics in My Art
+
* Douglas D. Peden: The Influence and Use of Music and Mathematics in My Art. Pages 223–232
−
Douglas D. Peden
 
−
Pages 223–232
 
  
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Mirror Curves
+
* Slavik Jablan: Mirror Curves. Pages 233–246
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Slavik Jablan
 
−
Pages 233–246
 
  
−
Hyperbolic Islamic Patterns -- A Beginning
+
* Douglas Dunham: Hyperbolic Islamic Patterns -- A Beginning. Pages 247–254
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Douglas Dunham
 
−
Pages 247–254
 
  
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Mathematics and the Liberal Arts Curriculum
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* Daniel F. Daniel: Mathematics and the Liberal Arts Curriculum. Pages 255–260
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Daniel F. Daniel
 
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Pages 255–260
 
  
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Some Common Themes in Visual Mathematical Art
+
* Robert W. Fathauer: Some Common Themes in Visual Mathematical Art. Pages 261–270
−
Robert W. Fathauer
 
−
Pages 261–270
 
  
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Spectral Light as Sculptured Space
+
* Irene Rousseau: Spectral Light as Sculptured Space. Pages 271–282
−
Irene Rousseau
 
−
Pages 271–282
 
  
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Quilted Symmetry
+
* Daniel F. Daniel, Slavik Jablan and Deb Schmidt: Quilted Symmetry. Pages 283–298
−
Daniel F. Daniel, Slavik Jablan and Deb Schmidt
 
−
Pages 283–298
 
  
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Study and Application of African Designs for Use in Secondary Education
+
* Anileen Gray and Reza Sarhangi: Study and Application of African Designs for Use in Secondary Education. Pages 299–306
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Anileen Gray and Reza Sarhangi
 
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Pages 299–306
 
  
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Weaving Beyond Fibonacci
+
* Mary C. Williams: Weaving Beyond Fibonacci. Pages 307–312
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Mary C. Williams
 
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Pages 307–312
 
  
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Composing Different Tessellation from the Same Elements - Abstract
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* Imameddin Amiraslanov: Composing Different Tessellation from the Same Elements - Abstract. Pages 313–317
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Imameddin Amiraslanov
 
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Pages 313–317
 
  
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A Review of the Snake Robotic Research - Abstract
+
* Farshad Barazandeh and Behnam Bahr: A Review of the Snake Robotic Research - Abstract. Pages 318–318
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Farshad Barazandeh and Behnam Bahr
 
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Pages 318–318
 
  
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Polyhedra Plus - Abstract
+
* Rochelle Newman: Polyhedra Plus - Abstract. Pages 319–320
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Rochelle Newman
 
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Pages 319–320
 
  
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The Alphabet Versus The Goddess: The Conflict Between Word and Image -Abstract
+
* Leonard Shlain: The Alphabet Versus The Goddess: The Conflict Between Word and Image -Abstract. Pages 321–322
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Leonard Shlain
 
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Pages 321–322
 
  
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Musical Acoustics and Continued Fractions - Abstract
+
* Richard Krantz and Jack Douthett: Musical Acoustics and Continued Fractions - Abstract. Pages 323–323
−
Richard Krantz and Jack Douthett
 
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Pages 323–323
 
  
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Making Sense of "Tensegrities" - Abstract
+
* Roger S. Tobie: Making Sense of "Tensegrities" - Abstract. Pages 324–324
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Roger S. Tobie
 
−
Pages 324–324
 
  
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Knots and Multiple Möbius Band Minimal Surfaces - Abstract
+
* Nat Friedman: Knots and Multiple Möbius Band Minimal Surfaces - Abstract. Pages 325–326
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Nat Friedman
 
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Pages 325–326
 
  
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Developing a Validation Principle in Art - Abstract
+
* Clifford Singer: Developing a Validation Principle in Art - Abstract. Pages 327–328
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Clifford Singer
 
−
Pages 327–328
 
  
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Zometool Geometry Workshop - Abstract
+
* George W. Hart: Zometool Geometry Workshop - Abstract. Pages 329–330
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George W. Hart
 
−
Pages 329–330
 
  
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Growth: An Architectural Study in Wall Design - Abstract
+
* Lara Pascali and Yuko Watai: Growth: An Architectural Study in Wall Design - Abstract. Pages 331–331
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Lara Pascali and Yuko Watai
 
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Pages 331–331
 
  
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GeomeTreks: A Mathematical Art Odyssey - Abstract
+
* Ivars Peterson: GeomeTreks: A Mathematical Art Odyssey - Abstract. Pages 332–332
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Ivars Peterson
 
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Pages 332–332
 
  
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Rhyming Reason: The Incorporation of Mathematics into Nursery Rhymes - Abstract
+
* Tara M. Dunphy: Rhyming Reason: The Incorporation of Mathematics into Nursery Rhymes - Abstract. Pages 333–333
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Tara M. Dunphy
 
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Pages 333–333
 
  
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Sona Sand Drawings and Permutation Groups - Abstract
+
* Mark D. Schlatter: Sona Sand Drawings and Permutation Groups - Abstract. Pages 334–334
−
Mark D. Schlatter
 
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Pages 334–334
 
  
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The 3D Illusion of 2D Regular Tessellations - Abstract
+
* Imameddin Amiraslanov: The 3D Illusion of 2D Regular Tessellations - Abstract. Pages 335–336
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Imameddin Amiraslanov
 
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Pages 335–336
 
  
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Reconstruction of Ornaments - Abstract
+
* Ljiljana Radovic: Reconstruction of Ornaments - Abstract. Pages 337–337
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Ljiljana Radovic
 
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Pages 337–337
 
  
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Molecular Sculptures - Abstract
+
* Edgar Meyer and W. John Tollett Jr.: Molecular Sculptures - Abstract. Pages 338–338
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Edgar Meyer and W. John Tollett Jr.
 
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Pages 338–338
 
  
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The Linear Diophantine Equation in Music Theory - Abstract
+
* Jack Douthett and Richard Krantz: The Linear Diophantine Equation in Music Theory - Abstract. Pages 339–339
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Jack Douthett and Richard Krantz
 
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Pages 339–339
 
  
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Constructing a Piano -- A Key is Provided by Leonhard Euler - Abstract
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* Robert L. Bailey: Constructing a Piano -- A Key is Provided by Leonhard Euler - Abstract. Pages 340–340
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Robert L. Bailey
 
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Pages 340–340
 
  
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Is it All About Triangles? - Abstract
+
* Mara Alagic: Is it All About Triangles? - Abstract. Pages 341–341
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Mara Alagic
 
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Pages 341–341
 
  
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Creating Prelude Music Using Number Patterns - Abstract
+
* Cheryl Whitelaw: Creating Prelude Music Using Number Patterns - Abstract: Pages 342–342
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Cheryl Whitelaw
 
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Pages 342–342
 
  
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Mathematical Poetry - Abstract
+
* Kaz Maslanka: Mathematical Poetry - Abstract. Pages 343–344
−
Kaz Maslanka
 
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Pages 343–344
 
  
−
Teaching a Course on Polyhedra - Abstract
+
* Vincent J. Matsko: Teaching a Course on Polyhedra - Abstract. Pages 345–345
−
Vincent J. Matsko
 
−
Pages 345–345
 
−
 
 
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A Mathematical Look at the 7 Liberal Arts as "Humanities" - Abstract
 
−
Stephen Eberhart
 
−
Pages 346–346
 
  
 +
* Stephen Eberhart: A Mathematical Look at the 7 Liberal Arts as "Humanities" - Abstract. Pages 346–346
  
  

Version vom 12. Dezember 2014, 21:24 Uhr

Reference

Reza Sarhangi and Slavik Jablan: Bridges 2001, Mathematics, Music, Art, Architecture, Culture. 4th Annual Bridges Conference, 2001. ISBN 0-9665201-3-0.

DOI

Abstract

Extended Abstract

Reviews

Bibtex

Table of contents

  • Craig S. Kaplan and George W. Hart: Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons. Pages 21–28
  • Robert J. Krawczyk: Curving Spirolaterals. Pages 29–36
  • Diane Luchese: Come un meccanismo di precisione: The Third Movement of Ligeti's Second String Quartet. Pages 37–46
  • Lorna B. Hanes: The Poetry of Infinity. Pages 47–54
  • Ljiljana Radovic and Slavik Jablan: Antisymmetry and Modularity in Ornamental Art. Pages 55–66
  • Jay Kappraff and Gary W. Adamson: Polygons and Chaos. Pages 67–80
  • Brent Collins: Geometries of Curvature and their Aesthetics. Pages 81–88
  • Javier Barrallo and Santiago Sanchez: Fractals and Multi-Layer Coloring Algorithms. Pages 89–94
  • Carlo H. Séquin: Fountain of Creation -- Design vs. Meta-Design. Pages 95–102
  • John Sims: TimeSculpture -- Constructing Social Geometries. Pages 103–108
  • Daniel F. Daniel: Each Moment a Culmination: The Poetry of Gar Bethel. Pages 109–114
  • Paul Gailiunas: A Polyhedral Byway. Pages 115–122
  • Steven Gimbel: Flatland, Curved Space: How M.C. Escher Illustrated the History of Geometry. Pages 123–132
  • C. Hugh Snyder: Better by the Dozen. Pages 133–138
  • Conal Elliott: Functional Image Synthesis. Pages 139–158
  • Julie Scrivener: The Use of Ratios in the Player Piano Studies of Conlon Nancarrow. Pages 159–166
  • Douglas Zongker and George W. Hart: Blending Polyhedra with Overlays. Pages 167–174
  • J.G. Eberhart: Humor and Music in the Mathematics Classroom. Pages 175–180
  • Ma. Louise Antonette N. De Las Peñas: On the Construction of Colored Plane Crystallographic Patterns. Pages 181–192
  • Margie Ribble: Finding Fibonacci: An Interdisciplinary Liberal Arts Course Based on Mathematical Patterns. Pages 193–200
  • Vladimir Bulatov: An Interactive Creation of Polyhedra Stellations with Various Symmetries. Pages 201–212
  • Michael Scott McClendon: The Complexity and Difficulty of a Maze. Pages 213–222
  • Douglas D. Peden: The Influence and Use of Music and Mathematics in My Art. Pages 223–232
  • Slavik Jablan: Mirror Curves. Pages 233–246
  • Douglas Dunham: Hyperbolic Islamic Patterns -- A Beginning. Pages 247–254
  • Daniel F. Daniel: Mathematics and the Liberal Arts Curriculum. Pages 255–260
  • Robert W. Fathauer: Some Common Themes in Visual Mathematical Art. Pages 261–270
  • Irene Rousseau: Spectral Light as Sculptured Space. Pages 271–282
  • Daniel F. Daniel, Slavik Jablan and Deb Schmidt: Quilted Symmetry. Pages 283–298
  • Anileen Gray and Reza Sarhangi: Study and Application of African Designs for Use in Secondary Education. Pages 299–306
  • Mary C. Williams: Weaving Beyond Fibonacci. Pages 307–312
  • Imameddin Amiraslanov: Composing Different Tessellation from the Same Elements - Abstract. Pages 313–317
  • Farshad Barazandeh and Behnam Bahr: A Review of the Snake Robotic Research - Abstract. Pages 318–318
  • Rochelle Newman: Polyhedra Plus - Abstract. Pages 319–320
  • Leonard Shlain: The Alphabet Versus The Goddess: The Conflict Between Word and Image -Abstract. Pages 321–322
  • Richard Krantz and Jack Douthett: Musical Acoustics and Continued Fractions - Abstract. Pages 323–323
  • Roger S. Tobie: Making Sense of "Tensegrities" - Abstract. Pages 324–324
  • Nat Friedman: Knots and Multiple Möbius Band Minimal Surfaces - Abstract. Pages 325–326
  • Clifford Singer: Developing a Validation Principle in Art - Abstract. Pages 327–328
  • George W. Hart: Zometool Geometry Workshop - Abstract. Pages 329–330
  • Lara Pascali and Yuko Watai: Growth: An Architectural Study in Wall Design - Abstract. Pages 331–331
  • Ivars Peterson: GeomeTreks: A Mathematical Art Odyssey - Abstract. Pages 332–332
  • Tara M. Dunphy: Rhyming Reason: The Incorporation of Mathematics into Nursery Rhymes - Abstract. Pages 333–333
  • Mark D. Schlatter: Sona Sand Drawings and Permutation Groups - Abstract. Pages 334–334
  • Imameddin Amiraslanov: The 3D Illusion of 2D Regular Tessellations - Abstract. Pages 335–336
  • Ljiljana Radovic: Reconstruction of Ornaments - Abstract. Pages 337–337
  • Edgar Meyer and W. John Tollett Jr.: Molecular Sculptures - Abstract. Pages 338–338
  • Jack Douthett and Richard Krantz: The Linear Diophantine Equation in Music Theory - Abstract. Pages 339–339
  • Robert L. Bailey: Constructing a Piano -- A Key is Provided by Leonhard Euler - Abstract. Pages 340–340
  • Mara Alagic: Is it All About Triangles? - Abstract. Pages 341–341
  • Cheryl Whitelaw: Creating Prelude Music Using Number Patterns - Abstract: Pages 342–342
  • Kaz Maslanka: Mathematical Poetry - Abstract. Pages 343–344
  • Vincent J. Matsko: Teaching a Course on Polyhedra - Abstract. Pages 345–345
  • Stephen Eberhart: A Mathematical Look at the 7 Liberal Arts as "Humanities" - Abstract. Pages 346–346


Links

Full Text

http://archive.bridgesmathart.org/2001/index.html

intern file

Sonstige Links

http://bridgesmathart.org/past-conferences/2001-2/