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* Carlo H. Séquin: Art, Math, and Computers: New Ways of Creating Pleasing Shapes. Pages 1–10 http://archive.bridgesmathart.org/1998/bridges1998-1.html http://archive.bridgesmathart.org/1998/bridges1998-1.pdf | * Carlo H. Séquin: Art, Math, and Computers: New Ways of Creating Pleasing Shapes. Pages 1–10 http://archive.bridgesmathart.org/1998/bridges1998-1.html http://archive.bridgesmathart.org/1998/bridges1998-1.pdf | ||
| − | * Kim Williams: Architecture and Mathematics: Art, Music and Science. Pages 11–20 | + | * Kim Williams: Architecture and Mathematics: Art, Music and Science. Pages 11–20 http://archive.bridgesmathart.org/1998/bridges1998-11.html http://archive.bridgesmathart.org/1998/bridges1998-11.pdf |
| − | * Brent Collins: Finding an Integral Equation of Design and Mathematics. Pages 21–28 | + | * Brent Collins: Finding an Integral Equation of Design and Mathematics. Pages 21–28 http://archive.bridgesmathart.org/1998/bridges1998-21.html http://archive.bridgesmathart.org/1998/bridges1998-21.pdf |
| − | * Gary R. Greenfield: New Directions for Evolving Expressions. Pages 29–36 | + | * Gary R. Greenfield: New Directions for Evolving Expressions. Pages 29–36 http://archive.bridgesmathart.org/1998/bridges1998-29.html http://archive.bridgesmathart.org/1998/bridges1998-29.pdf |
| − | * David Gerhard: Automatic Interval Naming Using Relative Pitch. Pages 37–48 | + | * David Gerhard: Automatic Interval Naming Using Relative Pitch. Pages 37–48 http://archive.bridgesmathart.org/1998/bridges1998-37.html http://archive.bridgesmathart.org/1998/bridges1998-37.pdf |
| − | * Charles O. Perry: Continuum, Broken Symmetry, and More. Pages 49–54 | + | * Charles O. Perry: Continuum, Broken Symmetry, and More. Pages 49–54 http://archive.bridgesmathart.org/1998/bridges1998-49.html http://archive.bridgesmathart.org/1998/bridges1998-49.pdf |
| − | * Helena Verrill: Origami Tessellations. Pages 55–68 | + | * Helena Verrill: Origami Tessellations. Pages 55–68 http://archive.bridgesmathart.org/1998/bridges1998-55.html http://archive.bridgesmathart.org/1998/bridges1998-55.pdf |
| − | * Pozzi Escot: The Poetics of Mathematics in Music. Pages 69–72 | + | * Pozzi Escot: The Poetics of Mathematics in Music. Pages 69–72 http://archive.bridgesmathart.org/1998/bridges1998-69.html http://archive.bridgesmathart.org/1998/bridges1998-69.pdf |
| − | * Douglas D. Peden: Bridges of Mathematics, Art, and Physics. Pages 73–82 | + | * Douglas D. Peden: Bridges of Mathematics, Art, and Physics. Pages 73–82 http://archive.bridgesmathart.org/1998/bridges1998-73.html http://archive.bridgesmathart.org/1998/bridges1998-73.pdf |
| − | * Jorge Carrera Bolaños: Chaos Theory and the Fall of the Aztec Empire. Pages 83–86 | + | * Jorge Carrera Bolaños: Chaos Theory and the Fall of the Aztec Empire. Pages 83–86 http://archive.bridgesmathart.org/1998/bridges1998-83.html http://archive.bridgesmathart.org/1998/bridges1998-83.pdf |
| − | * Joel K. Haack: The Mathematics of Steve Reich's "Clapping Music". Pages 87–92 | + | * Joel K. Haack: The Mathematics of Steve Reich's "Clapping Music". Pages 87–92 http://archive.bridgesmathart.org/1998/bridges1998-87.html http://archive.bridgesmathart.org/1998/bridges1998-87.pdf |
| − | * Reza Sarhangi and Bruce D. Martin: The Circle: A Paradigm for Paradox. Pages 93–112 | + | * Reza Sarhangi and Bruce D. Martin: The Circle: A Paradigm for Paradox. Pages 93–112 http://archive.bridgesmathart.org/1998/bridges1998-93.html http://archive.bridgesmathart.org/1998/bridges1998-93.pdf |
| − | * Glenn Clark and Shea Zellweger: Let the Mirrors Do the Thinking. Pages 113–120 | + | * Glenn Clark and Shea Zellweger: Let the Mirrors Do the Thinking. Pages 113–120 http://archive.bridgesmathart.org/1998/bridges1998-113.html http://archive.bridgesmathart.org/1998/bridges1998-113.pdf |
| − | * Stephen Eberhart: Pythagorean and Platonic Bridges between Geometry and Algebra. Pages 121–128 | + | * Stephen Eberhart: Pythagorean and Platonic Bridges between Geometry and Algebra. Pages 121–128 http://archive.bridgesmathart.org/1998/bridges1998-121.html http://archive.bridgesmathart.org/1998/bridges1998-121.pdf |
| − | * John V.C. Nye: Subjective Fidelity and Problems of Measurement in Audio Reproduction. Pages 129–138 | + | * John V.C. Nye: Subjective Fidelity and Problems of Measurement in Audio Reproduction. Pages 129–138 http://archive.bridgesmathart.org/1998/bridges1998-129.html http://archive.bridgesmathart.org/1998/bridges1998-129.pdf |
| − | * Nat Friedman: Hyperseeing, Hypersculptures and Space Curves. Pages 139–156 | + | * Nat Friedman: Hyperseeing, Hypersculptures and Space Curves. Pages 139–156 http://archive.bridgesmathart.org/1998/bridges1998-139.html http://archive.bridgesmathart.org/1998/bridges1998-139.pdf |
| − | * John Sharp: Problems with Holbein's Ambassadors and the Anamorphosis of the Skull. Pages 157–166 | + | * John Sharp: Problems with Holbein's Ambassadors and the Anamorphosis of the Skull. Pages 157–166 http://archive.bridgesmathart.org/1998/bridges1998-157.html http://archive.bridgesmathart.org/1998/bridges1998-157.pdf |
| − | * Ross McCluney: Conveying Large Numbers to General Audiences. Pages 167–174 | + | * Ross McCluney: Conveying Large Numbers to General Audiences. Pages 167–174 http://archive.bridgesmathart.org/1998/bridges1998-167.html http://archive.bridgesmathart.org/1998/bridges1998-167.pdf |
| − | * Solomon Marcus: Mathematics and Poetry: Discrepancies within Similarities. Pages 175–180 | + | * Solomon Marcus: Mathematics and Poetry: Discrepancies within Similarities. Pages 175–180 http://archive.bridgesmathart.org/1998/bridges1998-175.html http://archive.bridgesmathart.org/1998/bridges1998-175.pdf |
| − | * Boris D. Lubachevsky, Ron L. Graham and Frank H. Stillinger: Spontaneous Patterns in Disk Packings. Pages 181–194 | + | * Boris D. Lubachevsky, Ron L. Graham and Frank H. Stillinger: Spontaneous Patterns in Disk Packings. Pages 181–194 http://archive.bridgesmathart.org/1998/bridges1998-181.html http://archive.bridgesmathart.org/1998/bridges1998-181.pdf |
| − | * George W. Hart: Icosahedral Constructions. Pages 195–202 | + | * George W. Hart: Icosahedral Constructions. Pages 195–202 http://archive.bridgesmathart.org/1998/bridges1998-195.html http://archive.bridgesmathart.org/1998/bridges1998-195.pdf |
| − | * Don R. Schol: Mathematics in Three Dimensional Design: The Integration of Mathematical Thinking into the Design Core. Pages 203–208 | + | * Don R. Schol: Mathematics in Three Dimensional Design: The Integration of Mathematical Thinking into the Design Core. Pages 203–208 http://archive.bridgesmathart.org/1998/bridges1998-203.html http://archive.bridgesmathart.org/1998/bridges1998-203.pdf |
| − | * Martin Golubitsky and Ian Melbourne: A Symmetry Classification of Columns. Pages 209–224 | + | * Martin Golubitsky and Ian Melbourne: A Symmetry Classification of Columns. Pages 209–224 http://archive.bridgesmathart.org/1998/bridges1998-209.html http://archive.bridgesmathart.org/1998/bridges1998-209.pdf |
| − | * Daniel F. Daniel: Math and Metaphor. Pages 225–236 | + | * Daniel F. Daniel: Math and Metaphor. Pages 225–236 http://archive.bridgesmathart.org/1998/bridges1998-225.html http://archive.bridgesmathart.org/1998/bridges1998-225.pdf |
| − | * Mara Alagić: A Visual Presentation of Rank-Ordered Sets. Pages 237–244 | + | * Mara Alagić: A Visual Presentation of Rank-Ordered Sets. Pages 237–244 http://archive.bridgesmathart.org/1998/bridges1998-237.html http://archive.bridgesmathart.org/1998/bridges1998-237.pdf |
| − | * Bruce D. Martin and Reza Sarhangi: Symmetry, Chemistry and Escher's Tiles. Pages 245–254 | + | * Bruce D. Martin and Reza Sarhangi: Symmetry, Chemistry and Escher's Tiles. Pages 245–254 http://archive.bridgesmathart.org/1998/bridges1998-245.html http://archive.bridgesmathart.org/1998/bridges1998-245.pdf |
| − | * Ben Nicholson, Jay Kappraff and Saori Hisano: A Taxonomy of Ancient Geometry Based on the Hidden Pavements of Michelangelo's Lurentian Library. Pages 255–272 | + | * Ben Nicholson, Jay Kappraff and Saori Hisano: A Taxonomy of Ancient Geometry Based on the Hidden Pavements of Michelangelo's Lurentian Library. Pages 255–272 http://archive.bridgesmathart.org/1998/bridges1998-255.html http://archive.bridgesmathart.org/1998/bridges1998-255.pdf |
| − | * Michael Leyton: Symmetry, Causality, Mind - Abstract. Pages 273–274 | + | * Michael Leyton: Symmetry, Causality, Mind - Abstract. Pages 273–274 http://archive.bridgesmathart.org/1998/bridges1998-273.html http://archive.bridgesmathart.org/1998/bridges1998-273.pdf |
| − | * John Sharp: Sliceform Sculptures-a Bridge between Art and Mathematics - Abstract. Pages 275–276 | + | * John Sharp: Sliceform Sculptures-a Bridge between Art and Mathematics - Abstract. Pages 275–276 http://archive.bridgesmathart.org/1998/bridges1998-275.html http://archive.bridgesmathart.org/1998/bridges1998-275.pdf |
| − | * Jarmila Doubravová: Interpersonal Hypothesis and the GUHA Method - Abstract. Pages 277–278 | + | * Jarmila Doubravová: Interpersonal Hypothesis and the GUHA Method - Abstract. Pages 277–278 http://archive.bridgesmathart.org/1998/bridges1998-277.html http://archive.bridgesmathart.org/1998/bridges1998-277.pdf |
| − | * Thomas Michael Stephens: Eco-Mathematic/Geometric Aspects of a Design Proposal for Landscape/Public Art - Abstract. Pages 279–280 | + | * Thomas Michael Stephens: Eco-Mathematic/Geometric Aspects of a Design Proposal for Landscape/Public Art - Abstract. Pages 279–280 http://archive.bridgesmathart.org/1998/bridges1998-279.html http://archive.bridgesmathart.org/1998/bridges1998-279.pdf |
| − | * Carol Martin Watts and Donald J. Watts: Traces of the Geometrical Ordering of Roman Florence - Abstract. Pages 281–281 | + | * Carol Martin Watts and Donald J. Watts: Traces of the Geometrical Ordering of Roman Florence - Abstract. Pages 281–281 http://archive.bridgesmathart.org/1998/bridges1998-281.html http://archive.bridgesmathart.org/1998/bridges1998-281.pdf |
| − | * Arun K. Mitra: The Violin Surface Fitting - Abstract. Pages 282–282 | + | * Arun K. Mitra: The Violin Surface Fitting - Abstract. Pages 282–282 http://archive.bridgesmathart.org/1998/bridges1998-282.html http://archive.bridgesmathart.org/1998/bridges1998-282.pdf |
| − | * Clifford Singer: Geometrical Poetry - Abstract. Pages 283–286 | + | * Clifford Singer: Geometrical Poetry - Abstract. Pages 283–286 http://archive.bridgesmathart.org/1998/bridges1998-283.html http://archive.bridgesmathart.org/1998/bridges1998-283.pdf |
| − | * Steve Padget: Geometry as Libera(l)ing Art in Wren's St. Paul's Cathedral - Abstract. Pages 287–288 | + | * Steve Padget: Geometry as Libera(l)ing Art in Wren's St. Paul's Cathedral - Abstract. Pages 287–288 http://archive.bridgesmathart.org/1998/bridges1998-287.html http://archive.bridgesmathart.org/1998/bridges1998-287.pdf |
| − | * Thomas Michael Stephens: Relationships of Science, Mathematics and My Constructive Art: A Personal Survey - Abstract. Pages 289–290 | + | * Thomas Michael Stephens: Relationships of Science, Mathematics and My Constructive Art: A Personal Survey - Abstract. Pages 289–290 http://archive.bridgesmathart.org/1998/bridges1998-289.html http://archive.bridgesmathart.org/1998/bridges1998-289.pdf |
| − | * Daniel Fitzgerald: What is the Difference between a Banjo and a Harley-Davidson Motorcycle? Answer: You Can Tune the Harley - Abstract. Pages 291–292 | + | * Daniel Fitzgerald: What is the Difference between a Banjo and a Harley-Davidson Motorcycle? Answer: You Can Tune the Harley - Abstract. Pages 291–292 http://archive.bridgesmathart.org/1998/bridges1998-291.html http://archive.bridgesmathart.org/1998/bridges1998-291.pdf |
Version vom 13. Dezember 2014, 14:00 Uhr
Inhaltsverzeichnis
Reference
Reza Sarhangi: Bridges 1998, Mathematics, Music, Art, Architecture, Culture. 1th Annual Bridges Conference, 1998. ISBN 0-9665201-0-6.
DOI
Abstract
Extended Abstract
Reviews
Bibtex
Table of contents
- The Editors: Front Matter http://archive.bridgesmathart.org/1998/frontmatter.pdf
- Carlo H. Séquin: Art, Math, and Computers: New Ways of Creating Pleasing Shapes. Pages 1–10 http://archive.bridgesmathart.org/1998/bridges1998-1.html http://archive.bridgesmathart.org/1998/bridges1998-1.pdf
- Kim Williams: Architecture and Mathematics: Art, Music and Science. Pages 11–20 http://archive.bridgesmathart.org/1998/bridges1998-11.html http://archive.bridgesmathart.org/1998/bridges1998-11.pdf
- Brent Collins: Finding an Integral Equation of Design and Mathematics. Pages 21–28 http://archive.bridgesmathart.org/1998/bridges1998-21.html http://archive.bridgesmathart.org/1998/bridges1998-21.pdf
- Gary R. Greenfield: New Directions for Evolving Expressions. Pages 29–36 http://archive.bridgesmathart.org/1998/bridges1998-29.html http://archive.bridgesmathart.org/1998/bridges1998-29.pdf
- David Gerhard: Automatic Interval Naming Using Relative Pitch. Pages 37–48 http://archive.bridgesmathart.org/1998/bridges1998-37.html http://archive.bridgesmathart.org/1998/bridges1998-37.pdf
- Charles O. Perry: Continuum, Broken Symmetry, and More. Pages 49–54 http://archive.bridgesmathart.org/1998/bridges1998-49.html http://archive.bridgesmathart.org/1998/bridges1998-49.pdf
- Helena Verrill: Origami Tessellations. Pages 55–68 http://archive.bridgesmathart.org/1998/bridges1998-55.html http://archive.bridgesmathart.org/1998/bridges1998-55.pdf
- Pozzi Escot: The Poetics of Mathematics in Music. Pages 69–72 http://archive.bridgesmathart.org/1998/bridges1998-69.html http://archive.bridgesmathart.org/1998/bridges1998-69.pdf
- Douglas D. Peden: Bridges of Mathematics, Art, and Physics. Pages 73–82 http://archive.bridgesmathart.org/1998/bridges1998-73.html http://archive.bridgesmathart.org/1998/bridges1998-73.pdf
- Jorge Carrera Bolaños: Chaos Theory and the Fall of the Aztec Empire. Pages 83–86 http://archive.bridgesmathart.org/1998/bridges1998-83.html http://archive.bridgesmathart.org/1998/bridges1998-83.pdf
- Joel K. Haack: The Mathematics of Steve Reich's "Clapping Music". Pages 87–92 http://archive.bridgesmathart.org/1998/bridges1998-87.html http://archive.bridgesmathart.org/1998/bridges1998-87.pdf
- Reza Sarhangi and Bruce D. Martin: The Circle: A Paradigm for Paradox. Pages 93–112 http://archive.bridgesmathart.org/1998/bridges1998-93.html http://archive.bridgesmathart.org/1998/bridges1998-93.pdf
- Glenn Clark and Shea Zellweger: Let the Mirrors Do the Thinking. Pages 113–120 http://archive.bridgesmathart.org/1998/bridges1998-113.html http://archive.bridgesmathart.org/1998/bridges1998-113.pdf
- Stephen Eberhart: Pythagorean and Platonic Bridges between Geometry and Algebra. Pages 121–128 http://archive.bridgesmathart.org/1998/bridges1998-121.html http://archive.bridgesmathart.org/1998/bridges1998-121.pdf
- John V.C. Nye: Subjective Fidelity and Problems of Measurement in Audio Reproduction. Pages 129–138 http://archive.bridgesmathart.org/1998/bridges1998-129.html http://archive.bridgesmathart.org/1998/bridges1998-129.pdf
- Nat Friedman: Hyperseeing, Hypersculptures and Space Curves. Pages 139–156 http://archive.bridgesmathart.org/1998/bridges1998-139.html http://archive.bridgesmathart.org/1998/bridges1998-139.pdf
- John Sharp: Problems with Holbein's Ambassadors and the Anamorphosis of the Skull. Pages 157–166 http://archive.bridgesmathart.org/1998/bridges1998-157.html http://archive.bridgesmathart.org/1998/bridges1998-157.pdf
- Ross McCluney: Conveying Large Numbers to General Audiences. Pages 167–174 http://archive.bridgesmathart.org/1998/bridges1998-167.html http://archive.bridgesmathart.org/1998/bridges1998-167.pdf
- Solomon Marcus: Mathematics and Poetry: Discrepancies within Similarities. Pages 175–180 http://archive.bridgesmathart.org/1998/bridges1998-175.html http://archive.bridgesmathart.org/1998/bridges1998-175.pdf
- Boris D. Lubachevsky, Ron L. Graham and Frank H. Stillinger: Spontaneous Patterns in Disk Packings. Pages 181–194 http://archive.bridgesmathart.org/1998/bridges1998-181.html http://archive.bridgesmathart.org/1998/bridges1998-181.pdf
- George W. Hart: Icosahedral Constructions. Pages 195–202 http://archive.bridgesmathart.org/1998/bridges1998-195.html http://archive.bridgesmathart.org/1998/bridges1998-195.pdf
- Don R. Schol: Mathematics in Three Dimensional Design: The Integration of Mathematical Thinking into the Design Core. Pages 203–208 http://archive.bridgesmathart.org/1998/bridges1998-203.html http://archive.bridgesmathart.org/1998/bridges1998-203.pdf
- Martin Golubitsky and Ian Melbourne: A Symmetry Classification of Columns. Pages 209–224 http://archive.bridgesmathart.org/1998/bridges1998-209.html http://archive.bridgesmathart.org/1998/bridges1998-209.pdf
- Daniel F. Daniel: Math and Metaphor. Pages 225–236 http://archive.bridgesmathart.org/1998/bridges1998-225.html http://archive.bridgesmathart.org/1998/bridges1998-225.pdf
- Mara Alagić: A Visual Presentation of Rank-Ordered Sets. Pages 237–244 http://archive.bridgesmathart.org/1998/bridges1998-237.html http://archive.bridgesmathart.org/1998/bridges1998-237.pdf
- Bruce D. Martin and Reza Sarhangi: Symmetry, Chemistry and Escher's Tiles. Pages 245–254 http://archive.bridgesmathart.org/1998/bridges1998-245.html http://archive.bridgesmathart.org/1998/bridges1998-245.pdf
- Ben Nicholson, Jay Kappraff and Saori Hisano: A Taxonomy of Ancient Geometry Based on the Hidden Pavements of Michelangelo's Lurentian Library. Pages 255–272 http://archive.bridgesmathart.org/1998/bridges1998-255.html http://archive.bridgesmathart.org/1998/bridges1998-255.pdf
- Michael Leyton: Symmetry, Causality, Mind - Abstract. Pages 273–274 http://archive.bridgesmathart.org/1998/bridges1998-273.html http://archive.bridgesmathart.org/1998/bridges1998-273.pdf
- John Sharp: Sliceform Sculptures-a Bridge between Art and Mathematics - Abstract. Pages 275–276 http://archive.bridgesmathart.org/1998/bridges1998-275.html http://archive.bridgesmathart.org/1998/bridges1998-275.pdf
- Jarmila Doubravová: Interpersonal Hypothesis and the GUHA Method - Abstract. Pages 277–278 http://archive.bridgesmathart.org/1998/bridges1998-277.html http://archive.bridgesmathart.org/1998/bridges1998-277.pdf
- Thomas Michael Stephens: Eco-Mathematic/Geometric Aspects of a Design Proposal for Landscape/Public Art - Abstract. Pages 279–280 http://archive.bridgesmathart.org/1998/bridges1998-279.html http://archive.bridgesmathart.org/1998/bridges1998-279.pdf
- Carol Martin Watts and Donald J. Watts: Traces of the Geometrical Ordering of Roman Florence - Abstract. Pages 281–281 http://archive.bridgesmathart.org/1998/bridges1998-281.html http://archive.bridgesmathart.org/1998/bridges1998-281.pdf
- Arun K. Mitra: The Violin Surface Fitting - Abstract. Pages 282–282 http://archive.bridgesmathart.org/1998/bridges1998-282.html http://archive.bridgesmathart.org/1998/bridges1998-282.pdf
- Clifford Singer: Geometrical Poetry - Abstract. Pages 283–286 http://archive.bridgesmathart.org/1998/bridges1998-283.html http://archive.bridgesmathart.org/1998/bridges1998-283.pdf
- Steve Padget: Geometry as Libera(l)ing Art in Wren's St. Paul's Cathedral - Abstract. Pages 287–288 http://archive.bridgesmathart.org/1998/bridges1998-287.html http://archive.bridgesmathart.org/1998/bridges1998-287.pdf
- Thomas Michael Stephens: Relationships of Science, Mathematics and My Constructive Art: A Personal Survey - Abstract. Pages 289–290 http://archive.bridgesmathart.org/1998/bridges1998-289.html http://archive.bridgesmathart.org/1998/bridges1998-289.pdf
- Daniel Fitzgerald: What is the Difference between a Banjo and a Harley-Davidson Motorcycle? Answer: You Can Tune the Harley - Abstract. Pages 291–292 http://archive.bridgesmathart.org/1998/bridges1998-291.html http://archive.bridgesmathart.org/1998/bridges1998-291.pdf
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