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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 | ||
| − | Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons | + | * Craig S. Kaplan and George W. Hart: Symmetrohedra: Polyhedra from Symmetric Placement of Regular Polygons. Pages 21–28 |
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| − | Pages 21–28 | ||
| − | + | * Robert J. Krawczyk: Curving Spirolaterals. Pages 29–36 | |
| − | Robert J. Krawczyk | ||
| − | Pages 29–36 | ||
| − | Come un meccanismo di precisione: The Third Movement of Ligeti's Second String Quartet | + | * Diane Luchese: Come un meccanismo di precisione: The Third Movement of Ligeti's Second String Quartet. Pages 37–46 |
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| − | Pages 37–46 | ||
| − | The Poetry of Infinity | + | * Lorna B. Hanes: The Poetry of Infinity. Pages 47–54 |
| − | |||
| − | Pages 47–54 | ||
| − | Antisymmetry and Modularity in Ornamental Art | + | * Ljiljana Radovic and Slavik Jablan: Antisymmetry and Modularity in Ornamental Art. Pages 55–66 |
| − | |||
| − | Pages 55–66 | ||
| − | + | * Jay Kappraff and Gary W. Adamson: Polygons and Chaos. Pages 67–80 | |
| − | 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 |
| − | |||
| − | Pages 81–88 | ||
| − | Fractals and Multi-Layer Coloring Algorithms | + | * Javier Barrallo and Santiago Sanchez: Fractals and Multi-Layer Coloring Algorithms. Pages 89–94 |
| − | |||
| − | Pages 89–94 | ||
| − | Fountain of Creation -- Design vs. Meta-Design | + | * Carlo H. Séquin: Fountain of Creation -- Design vs. Meta-Design. Pages 95–102 |
| − | |||
| − | Pages 95–102 | ||
| − | TimeSculpture -- Constructing Social Geometries | + | * John Sims: TimeSculpture -- Constructing Social Geometries. Pages 103–108 |
| − | |||
| − | Pages 103–108 | ||
| − | Each Moment a Culmination: The Poetry of Gar Bethel | + | * Daniel F. Daniel: Each Moment a Culmination: The Poetry of Gar Bethel. Pages 109–114 |
| − | |||
| − | Pages 109–114 | ||
| − | A Polyhedral Byway | + | * Paul Gailiunas: A Polyhedral Byway. Pages 115–122 |
| − | |||
| − | 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 |
| − | |||
| − | Pages 123–132 | ||
| − | Better by the Dozen | + | * C. Hugh Snyder: Better by the Dozen. Pages 133–138 |
| − | |||
| − | Pages 133–138 | ||
| − | Functional Image Synthesis | + | * Conal Elliott: Functional Image Synthesis. Pages 139–158 |
| − | |||
| − | 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 |
| − | |||
| − | Pages 159–166 | ||
| − | + | * Douglas Zongker and George W. Hart: Blending Polyhedra with Overlays. Pages 167–174 | |
| − | 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 |
| − | |||
| − | Pages 175–180 | ||
| − | On the Construction of Colored Plane Crystallographic Patterns | + | * Ma. Louise Antonette N. De Las Peñas: On the Construction of Colored Plane Crystallographic Patterns. Pages 181–192 |
| − | |||
| − | Pages 181–192 | ||
| − | 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 |
| − | |||
| − | Pages 193–200 | ||
| − | An Interactive Creation of Polyhedra Stellations with Various Symmetries | + | * Vladimir Bulatov: An Interactive Creation of Polyhedra Stellations with Various Symmetries. Pages 201–212 |
| − | |||
| − | Pages 201–212 | ||
| − | The Complexity and Difficulty of a Maze | + | * Michael Scott McClendon: The Complexity and Difficulty of a Maze. Pages 213–222 |
| − | |||
| − | Pages 213–222 | ||
| − | 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 |
| − | |||
| − | Pages 223–232 | ||
| − | Mirror Curves | + | * Slavik Jablan: Mirror Curves. Pages 233–246 |
| − | |||
| − | Pages 233–246 | ||
| − | Hyperbolic Islamic Patterns -- A Beginning | + | * Douglas Dunham: Hyperbolic Islamic Patterns -- A Beginning. Pages 247–254 |
| − | |||
| − | Pages 247–254 | ||
| − | Mathematics and the Liberal Arts Curriculum | + | * Daniel F. Daniel: Mathematics and the Liberal Arts Curriculum. Pages 255–260 |
| − | |||
| − | Pages 255–260 | ||
| − | Some Common Themes in Visual Mathematical Art | + | * Robert W. Fathauer: Some Common Themes in Visual Mathematical Art. Pages 261–270 |
| − | |||
| − | Pages 261–270 | ||
| − | Spectral Light as Sculptured Space | + | * Irene Rousseau: Spectral Light as Sculptured Space. Pages 271–282 |
| − | |||
| − | Pages 271–282 | ||
| − | + | * Daniel F. Daniel, Slavik Jablan and Deb Schmidt: Quilted Symmetry. Pages 283–298 | |
| − | Daniel F. Daniel, Slavik Jablan and Deb Schmidt | ||
| − | Pages 283–298 | ||
| − | 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 |
| − | |||
| − | Pages 299–306 | ||
| − | Weaving Beyond Fibonacci | + | * Mary C. Williams: Weaving Beyond Fibonacci. Pages 307–312 |
| − | |||
| − | Pages 307–312 | ||
| − | Composing Different Tessellation from the Same Elements - Abstract | + | * Imameddin Amiraslanov: Composing Different Tessellation from the Same Elements - Abstract. Pages 313–317 |
| − | |||
| − | Pages 313–317 | ||
| − | A Review of the Snake Robotic Research - Abstract | + | * Farshad Barazandeh and Behnam Bahr: A Review of the Snake Robotic Research - Abstract. Pages 318–318 |
| − | |||
| − | Pages 318–318 | ||
| − | Polyhedra Plus - Abstract | + | * Rochelle Newman: Polyhedra Plus - Abstract. Pages 319–320 |
| − | |||
| − | Pages 319–320 | ||
| − | 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 |
| − | |||
| − | Pages 321–322 | ||
| − | Musical Acoustics and Continued Fractions - Abstract | + | * Richard Krantz and Jack Douthett: Musical Acoustics and Continued Fractions - Abstract. Pages 323–323 |
| − | |||
| − | Pages 323–323 | ||
| − | Making Sense of "Tensegrities" - Abstract | + | * Roger S. Tobie: Making Sense of "Tensegrities" - Abstract. Pages 324–324 |
| − | |||
| − | Pages 324–324 | ||
| − | Knots and Multiple Möbius Band Minimal Surfaces - Abstract | + | * Nat Friedman: Knots and Multiple Möbius Band Minimal Surfaces - Abstract. Pages 325–326 |
| − | |||
| − | Pages 325–326 | ||
| − | Developing a Validation Principle in Art - Abstract | + | * Clifford Singer: Developing a Validation Principle in Art - Abstract. Pages 327–328 |
| − | |||
| − | Pages 327–328 | ||
| − | Zometool Geometry Workshop - Abstract | + | * George W. Hart: Zometool Geometry Workshop - Abstract. Pages 329–330 |
| − | |||
| − | Pages 329–330 | ||
| − | Growth: An Architectural Study in Wall Design - Abstract | + | * Lara Pascali and Yuko Watai: Growth: An Architectural Study in Wall Design - Abstract. Pages 331–331 |
| − | |||
| − | Pages 331–331 | ||
| − | GeomeTreks: A Mathematical Art Odyssey - Abstract | + | * Ivars Peterson: GeomeTreks: A Mathematical Art Odyssey - Abstract. Pages 332–332 |
| − | |||
| − | Pages 332–332 | ||
| − | 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 |
| − | |||
| − | Pages 333–333 | ||
| − | Sona Sand Drawings and Permutation Groups - Abstract | + | * Mark D. Schlatter: Sona Sand Drawings and Permutation Groups - Abstract. Pages 334–334 |
| − | |||
| − | Pages 334–334 | ||
| − | The 3D Illusion of 2D Regular Tessellations - Abstract | + | * Imameddin Amiraslanov: The 3D Illusion of 2D Regular Tessellations - Abstract. Pages 335–336 |
| − | |||
| − | Pages 335–336 | ||
| − | Reconstruction of Ornaments - Abstract | + | * Ljiljana Radovic: Reconstruction of Ornaments - Abstract. Pages 337–337 |
| − | |||
| − | Pages 337–337 | ||
| − | + | * Edgar Meyer and W. John Tollett Jr.: Molecular Sculptures - Abstract. Pages 338–338 | |
| − | Edgar Meyer and W. John Tollett Jr. | ||
| − | Pages 338–338 | ||
| − | The Linear Diophantine Equation in Music Theory - Abstract | + | * Jack Douthett and Richard Krantz: The Linear Diophantine Equation in Music Theory - Abstract. Pages 339–339 |
| − | |||
| − | Pages 339–339 | ||
| − | Constructing a Piano -- A Key is Provided by Leonhard Euler - Abstract | + | * Robert L. Bailey: Constructing a Piano -- A Key is Provided by Leonhard Euler - Abstract. Pages 340–340 |
| − | |||
| − | Pages 340–340 | ||
| − | Is it All About Triangles? - Abstract | + | * Mara Alagic: Is it All About Triangles? - Abstract. Pages 341–341 |
| − | |||
| − | Pages 341–341 | ||
| − | Creating Prelude Music Using Number Patterns - Abstract | + | * Cheryl Whitelaw: Creating Prelude Music Using Number Patterns - Abstract: Pages 342–342 |
| − | |||
| − | Pages 342–342 | ||
| − | Mathematical Poetry - Abstract | + | * Kaz Maslanka: Mathematical Poetry - Abstract. Pages 343–344 |
| − | |||
| − | Pages 343–344 | ||
| − | Teaching a Course on Polyhedra - Abstract | + | * Vincent J. Matsko: Teaching a Course on Polyhedra - Abstract. Pages 345–345 |
| − | |||
| − | Pages 345–345 | ||
| − | |||
| − | |||
| − | |||
| − | |||
| + | * Stephen Eberhart: A Mathematical Look at the 7 Liberal Arts as "Humanities" - Abstract. Pages 346–346 | ||
Version vom 12. Dezember 2014, 23:24 Uhr
Inhaltsverzeichnis
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
- The Editors: Front Matter http://archive.bridgesmathart.org/2001/frontmatter.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
- 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
