Bridges 2005: Unterschied zwischen den Versionen
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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 | * 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 | ||
| − | Recursion in Nature, Mathematics and Art | + | * Anne M. Burns: Recursion in Nature, Mathematics and Art. Pages 9–16 http://archive.bridgesmathart.org/2005/bridges2005-9.html http://archive.bridgesmathart.org/2005/bridges2005-9.pdf |
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| − | Pages 9–16 | ||
| − | Fairfield Porter's Secret Geometry | + | * Chris Bartlett: Fairfield Porter's Secret Geometry. Pages 17–24 http://archive.bridgesmathart.org/2005/bridges2005-17.html http://archive.bridgesmathart.org/2005/bridges2005-17.pdf |
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| − | Pages 17–24 | ||
| − | + | * Paul Gailiunas: Meanders. Pages 25–30 http://archive.bridgesmathart.org/2005/bridges2005-25.html http://archive.bridgesmathart.org/2005/bridges2005-25.pdf | |
| − | Paul Gailiunas | ||
| − | Pages 25–30 | ||
| − | An Introduction to the Golden Tangram and its Tiling Properties | + | * Stanley Spencer: An Introduction to the Golden Tangram and its Tiling Properties. Pages 31–36 http://archive.bridgesmathart.org/2005/bridges2005-31.html http://archive.bridgesmathart.org/2005/bridges2005-31.pdf |
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| − | Pages 31–36 | ||
| − | Spiral Tilings with C-curves Using Combinatorics to Augment Tradition | + | * Chris K. Palmer: Spiral Tilings with C-curves Using Combinatorics to Augment Tradition. Pages 37–46 http://archive.bridgesmathart.org/2005/bridges2005-37.html http://archive.bridgesmathart.org/2005/bridges2005-37.pdf |
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| − | Pages 37–46 | ||
| − | The Euclidean Algorithm Generates Traditional Musical Rhythms | + | * Godfried Toussaint: The Euclidean Algorithm Generates Traditional Musical Rhythms. Pages 47–56 http://archive.bridgesmathart.org/2005/bridges2005-47.html http://archive.bridgesmathart.org/2005/bridges2005-47.pdf |
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| − | Pages 47–56 | ||
| − | Malekula Sand Tracings: A Case in Ethnomathematics | + | * Marcia Ascher: Malekula Sand Tracings: A Case in Ethnomathematics. Pages 57–64 http://archive.bridgesmathart.org/2005/bridges2005-57.html http://archive.bridgesmathart.org/2005/bridges2005-57.pdf |
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| − | Pages 57–64 | ||
| − | Generative Art and Aesthetics | + | * Susan Happersett: Generative Art and Aesthetics. Pages 65–66 http://archive.bridgesmathart.org/2005/bridges2005-65.html http://archive.bridgesmathart.org/2005/bridges2005-65.pdf |
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| − | Pages 65–66 | ||
| − | Geometry and Harmony | + | * David Rappaport: Geometry and Harmony. Pages 67–72 http://archive.bridgesmathart.org/2005/bridges2005-67.html http://archive.bridgesmathart.org/2005/bridges2005-67.pdf |
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| − | Pages 67–72 | ||
| − | + | * F. Gómez, A. Melvin, D. Rappaport and G.T. Toussaint: Mathematical Measures of Syncopation. Pages 73–84 http://archive.bridgesmathart.org/2005/bridges2005-73.html http://archive.bridgesmathart.org/2005/bridges2005-73.pdf | |
| − | F. Gómez, A. Melvin, D. Rappaport and G.T. Toussaint | ||
| − | Pages 73–84 | ||
| − | Mathematical Analogy and Metaphorical Insight | + | * Jan Zwicky: Mathematical Analogy and Metaphorical Insight. Pages 85–92 http://archive.bridgesmathart.org/2005/bridges2005-85.html http://archive.bridgesmathart.org/2005/bridges2005-85.pdf |
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| − | Pages 85–92 | ||
| − | Beauty in Art and Mathematics: A Common Neural Substrate or the Limits of Language? | + | * 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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| − | Pages 93–100 | ||
| − | Alice Boner and the Geometry of Temple Cave Art of India | + | * Robert V. Moody: Alice Boner and the Geometry of Temple Cave Art of India. Pages 101–108 http://archive.bridgesmathart.org/2005/bridges2005-101.html http://archive.bridgesmathart.org/2005/bridges2005-101.pdf |
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| − | Pages 101–108 | ||
| − | A Ukrainian Easter Egg Monument Stands for Thirty Years | + | * Robert McDermott: A Ukrainian Easter Egg Monument Stands for Thirty Years. Pages 109–116 http://archive.bridgesmathart.org/2005/bridges2005-109.html http://archive.bridgesmathart.org/2005/bridges2005-109.pdf |
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| − | Pages 109–116 | ||
| − | The Harmony of the World | + | * Christopher Arthur: The Harmony of the World. Pages 117–118 http://archive.bridgesmathart.org/2005/bridges2005-117.html http://archive.bridgesmathart.org/2005/bridges2005-117.pdf |
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| − | Pages 117–118 | ||
| − | Pedagogical Principles for Teaching Art in Mathematics Courses | + | * Russell Jay Hendel: Pedagogical Principles for Teaching Art in Mathematics Courses. Pages 119–120 http://archive.bridgesmathart.org/2005/bridges2005-119.html http://archive.bridgesmathart.org/2005/bridges2005-119.pdf |
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| − | Pages 119–120 | ||
| − | D-forms and developable surfaces | + | * John Sharp: D-forms and developable surfaces. Pages 121–128 http://archive.bridgesmathart.org/2005/bridges2005-121.html http://archive.bridgesmathart.org/2005/bridges2005-121.pdf |
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| − | Pages 121–128 | ||
| − | (Vector) Fields of Mathematical Poetry | + | * Carla Farsi: (Vector) Fields of Mathematical Poetry. Pages 129–130 http://archive.bridgesmathart.org/2005/bridges2005-129.html http://archive.bridgesmathart.org/2005/bridges2005-129.pdf |
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| − | Pages 129–130 | ||
| − | Aspects of Symmetry in Arpachiyah Pottery | + | * Duncan J. Melville: Aspects of Symmetry in Arpachiyah Pottery. Pages 131–136 http://archive.bridgesmathart.org/2005/bridges2005-131.html http://archive.bridgesmathart.org/2005/bridges2005-131.pdf |
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| − | Pages 131–136 | ||
| − | Abstract Art from a Model for Cellular Morphogenesis | + | * Gary R. Greenfield: Abstract Art from a Model for Cellular Morphogenesis. Pages 137–142 http://archive.bridgesmathart.org/2005/bridges2005-137.html http://archive.bridgesmathart.org/2005/bridges2005-137.pdf |
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| − | Pages 137–142 | ||
| − | The Complexity of the Musical Vocabulary of the Nzakara Harpists | + | * Barbra Gregory: The Complexity of the Musical Vocabulary of the Nzakara Harpists. Pages 143–148 http://archive.bridgesmathart.org/2005/bridges2005-143.html http://archive.bridgesmathart.org/2005/bridges2005-143.pdf |
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| − | Pages 143–148 | ||
| − | + | * Irit Wertheim, Emzar Panikashvili, Gershon Elber and Nitsa Movshovitz-Hadar: A Computerized Environment for Learning and Teaching 3-D Geometry. Pages 149–154 http://archive.bridgesmathart.org/2005/bridges2005-149.html http://archive.bridgesmathart.org/2005/bridges2005-149.pdf | |
| − | Irit Wertheim, Emzar Panikashvili, Gershon Elber and Nitsa Movshovitz-Hadar | ||
| − | Pages 149–154 | ||
| − | Symmetry and the Sacred Date Palm in the Palace of Ashurnasirpal II, King of Assyria | + | * Sarah C. Melville: Symmetry and the Sacred Date Palm in the Palace of Ashurnasirpal II, King of Assyria. Pages 155–160 http://archive.bridgesmathart.org/2005/bridges2005-155.html http://archive.bridgesmathart.org/2005/bridges2005-155.pdf |
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| − | Pages 155–160 | ||
| − | Three-Dimensional and Dynamic Constructions Based on Leonardo Grids | + | * Rinus Roelofs: Three-Dimensional and Dynamic Constructions Based on Leonardo Grids. Pages 161–168 http://archive.bridgesmathart.org/2005/bridges2005-161.html http://archive.bridgesmathart.org/2005/bridges2005-161.pdf |
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| − | Pages 161–168 | ||
| − | The Droste-Effect and the Exponential Transform | + | * Bart de Smit: The Droste-Effect and the Exponential Transform. Pages 169–178 http://archive.bridgesmathart.org/2005/bridges2005-169.html http://archive.bridgesmathart.org/2005/bridges2005-169.pdf |
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| − | Pages 169–178 | ||
| − | Some Surprising New Properties of the Spidrons | + | * Dániel Erdély: Some Surprising New Properties of the Spidrons. Pages 179–186 http://archive.bridgesmathart.org/2005/bridges2005-179.html http://archive.bridgesmathart.org/2005/bridges2005-179.pdf |
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| − | Pages 179–186 | ||
| − | + | * Jinnah Yu and Ergun Akleman: Video Screening. Pages 187–194 http://archive.bridgesmathart.org/2005/bridges2005-187.html http://archive.bridgesmathart.org/2005/bridges2005-187.pdf | |
| − | Jinnah Yu and Ergun Akleman | ||
| − | Pages 187–194 | ||
| − | + | * Joseph E. Flannick, Rachel W. Hall and Robert Kelly: Detecting Meter in Recorded Music. Pages 195–202 http://archive.bridgesmathart.org/2005/bridges2005-195.html http://archive.bridgesmathart.org/2005/bridges2005-195.pdf | |
| − | Joseph E. Flannick, Rachel W. Hall and Robert Kelly | ||
| − | Pages 195–202 | ||
| − | + | * Vinod Srinivasan, Esan Mandal and Ergun Akleman: Solidifying Wireframes. Pages 203–210 http://archive.bridgesmathart.org/2005/bridges2005-203.html http://archive.bridgesmathart.org/2005/bridges2005-203.pdf | |
| − | Vinod Srinivasan, Esan Mandal and Ergun Akleman | ||
| − | Pages 203–210 | ||
| − | Splitting Tori, Knots, and Moebius Bands | + | * Carlo H. Séquin: Splitting Tori, Knots, and Moebius Bands. Pages 211–218 http://archive.bridgesmathart.org/2005/bridges2005-211.html http://archive.bridgesmathart.org/2005/bridges2005-211.pdf |
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| − | Pages 211–218 | ||
| − | Symmetry and Symmetry-Breaking - An Approach to Understanding Beauty | + | * Carol Bier: Symmetry and Symmetry-Breaking - An Approach to Understanding Beauty. Pages 219–226 http://archive.bridgesmathart.org/2005/bridges2005-219.html http://archive.bridgesmathart.org/2005/bridges2005-219.pdf |
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| − | Pages 219–226 | ||
| − | An Interdisciplinary Course: "On Beauty: Perspective, Proportion, and Rationalism in Western Culture" | + | * Alison Fleming, Sharon Frechette and Sarah Luria: An Interdisciplinary Course: "On Beauty: Perspective, Proportion, and Rationalism in Western Culture". Pages 227–230 http://archive.bridgesmathart.org/2005/bridges2005-227.html http://archive.bridgesmathart.org/2005/bridges2005-227.pdf |
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| − | Pages 227–230 | ||
| − | Looking At Math: Using Art to Teach Mathematics | + | * Pau Atela: Looking At Math: Using Art to Teach Mathematics. Pages 231–236 http://archive.bridgesmathart.org/2005/bridges2005-231.html http://archive.bridgesmathart.org/2005/bridges2005-231.pdf |
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| − | Pages 231–236 | ||
| − | Using 3-D Models as Image Generators For Digital Fiction | + | * Michael Mahan: Using 3-D Models as Image Generators For Digital Fiction. Pages 237–244 http://archive.bridgesmathart.org/2005/bridges2005-237.html http://archive.bridgesmathart.org/2005/bridges2005-237.pdf |
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| − | Pages 237–244 | ||
| − | Fermat's Spiral Mandalas | + | * Robert J. Krawczyk: Fermat's Spiral Mandalas. Pages 245–250 http://archive.bridgesmathart.org/2005/bridges2005-245.html http://archive.bridgesmathart.org/2005/bridges2005-245.pdf |
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| − | Pages 245–250 | ||
| − | Symmetry, Proportion and Scale: Tools for the Jacquard Designer and Weaver of Silk Velvet | + | * Barbara Setsu Pickett: Symmetry, Proportion and Scale: Tools for the Jacquard Designer and Weaver of Silk Velvet. Pages 251–254 http://archive.bridgesmathart.org/2005/bridges2005-251.html http://archive.bridgesmathart.org/2005/bridges2005-251.pdf |
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| − | Pages 251–254 | ||
| − | Circular Distributions and Spectra Variations in Music, How Even is Even? | + | * 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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| − | Pages 255–262 | ||
| − | Illustrating Number Sequences | + | * L. Kerry Mitchell: Illustrating Number Sequences. Pages 263–268 http://archive.bridgesmathart.org/2005/bridges2005-263.html http://archive.bridgesmathart.org/2005/bridges2005-263.pdf |
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| − | Pages 263–268 | ||
| − | Geometrical, Perceptual, and Cultural Perspectives on Figure/Ground Differences in Bakuba Pattern | + | * Donald W. Crowe and Dorothy K. Washburn: Geometrical, Perceptual, and Cultural Perspectives on Figure/Ground Differences in Bakuba Pattern. Pages 269–276 http://archive.bridgesmathart.org/2005/bridges2005-269.html http://archive.bridgesmathart.org/2005/bridges2005-269.pdf |
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| − | Pages 269–276 | ||
| − | A Perspective on Infinity: Anamorphism and Stereographic Projection | + | * Michael Frantz: A Perspective on Infinity: Anamorphism and Stereographic Projection. Pages 277–284 http://archive.bridgesmathart.org/2005/bridges2005-277.html http://archive.bridgesmathart.org/2005/bridges2005-277.pdf |
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| − | Pages 277–284 | ||
| − | A Geometric Analysis of the Seven Heavens | + | * B. Lynn Bodner: A Geometric Analysis of the Seven Heavens. Pages 285–292 http://archive.bridgesmathart.org/2005/bridges2005-285.html http://archive.bridgesmathart.org/2005/bridges2005-285.pdf |
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| − | Pages 285–292 | ||
| − | On Parsimonious Sequences as Scales in Western Music | + | * Richard Hermann and Jack Douthett: On Parsimonious Sequences as Scales in Western Music. Pages 293–300 http://archive.bridgesmathart.org/2005/bridges2005-293.html http://archive.bridgesmathart.org/2005/bridges2005-293.pdf |
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| − | Pages 293–300 | ||
| − | + | * Craig S. Kaplan and Robert Bosch: TSP Art. Pages 301–308 http://archive.bridgesmathart.org/2005/bridges2005-301.html http://archive.bridgesmathart.org/2005/bridges2005-301.pdf | |
| − | Craig S. Kaplan and Robert Bosch | ||
| − | Pages 301–308 | ||
| − | Digitally Spelunking the Spline Mine | + | * Curtis Palmer: Digitally Spelunking the Spline Mine. Pages 309–312 http://archive.bridgesmathart.org/2005/bridges2005-309.html http://archive.bridgesmathart.org/2005/bridges2005-309.pdf |
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| − | Pages 309–312 | ||
| − | + | * 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. Pages 313–320 http://archive.bridgesmathart.org/2005/bridges2005-313.html http://archive.bridgesmathart.org/2005/bridges2005-313.pdf | |
| − | Ma. Louise Antonette N. De Las Peñas, Glenn R. Laigo and René P. Felix | ||
| − | Pages 313–320 | ||
| − | Two and Three-Dimensional Art Inspired by Polynomiography | + | * Bahman Kalantari: Two and Three-Dimensional Art Inspired by Polynomiography. Pages 321–328 http://archive.bridgesmathart.org/2005/bridges2005-321.html http://archive.bridgesmathart.org/2005/bridges2005-321.pdf |
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| − | Pages 321–328 | ||
| − | Tessellations from Group Actions and the Mystery of Escher's Solid | + | * Ioana Mihaila: Tessellations from Group Actions and the Mystery of Escher's Solid. Pages 329–330 http://archive.bridgesmathart.org/2005/bridges2005-329.html http://archive.bridgesmathart.org/2005/bridges2005-329.pdf |
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| − | Pages 329–330 | ||
| − | Wisdom in Art: Mathematics in Islamic Architecture in Iran | + | * Hourieh Mashayekh: Wisdom in Art: Mathematics in Islamic Architecture in Iran. Pages 331–336 http://archive.bridgesmathart.org/2005/bridges2005-331.html http://archive.bridgesmathart.org/2005/bridges2005-331.pdf |
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| − | Pages 331–336 | ||
| − | NAMAN: Dream Altars, Vietnam: A Search for use of the Golden Mean and its Affect on Design and Content | + | * Michael McConnell and Jim Rose: NAMAN: Dream Altars, Vietnam: A Search for use of the Golden Mean and its Affect on Design and Content. Pages 337–338 http://archive.bridgesmathart.org/2005/bridges2005-337.html http://archive.bridgesmathart.org/2005/bridges2005-337.pdf |
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| − | Pages 337–338 | ||
| − | + | * Barry Cipra, Peter Hamburger and Edit Hepp: Aesthetic Aspects of Venn Diagrams. Pages 339–342 http://archive.bridgesmathart.org/2005/bridges2005-339.html http://archive.bridgesmathart.org/2005/bridges2005-339.pdf | |
| − | Barry Cipra, Peter Hamburger and Edit Hepp | ||
| − | Pages 339–342 | ||
| − | Dynamics on Discrete Structures: A Dialog between Squares and Circles | + | * Tiziana Giorgi and Robert Smits: Dynamics on Discrete Structures: A Dialog between Squares and Circles. Pages 343–344 http://archive.bridgesmathart.org/2005/bridges2005-343.html http://archive.bridgesmathart.org/2005/bridges2005-343.pdf |
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| − | Pages 343–344 | ||
| − | Strange Physical Motion of Balls in a Cylinder | + | * Akihiro Matsuura: Strange Physical Motion of Balls in a Cylinder. Pages 345–346 http://archive.bridgesmathart.org/2005/bridges2005-345.html http://archive.bridgesmathart.org/2005/bridges2005-345.pdf |
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| − | Pages 345–346 | ||
| − | z-Irrationality search: After a Golden Section Approach, Another Esthetic but Vain Attempt | + | * Dirk Huylebrouck: z-Irrationality search: After a Golden Section Approach, Another Esthetic but Vain Attempt. Pages 347–348 http://archive.bridgesmathart.org/2005/bridges2005-347.html http://archive.bridgesmathart.org/2005/bridges2005-347.pdf |
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| − | Pages 347–348 | ||
| − | Aliasing Artifacts and Accidental Algorithmic Art | + | * Craig S. Kaplan: Aliasing Artifacts and Accidental Algorithmic Art. Pages 349–356 http://archive.bridgesmathart.org/2005/bridges2005-349.html http://archive.bridgesmathart.org/2005/bridges2005-349.pdf |
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| − | Pages 349–356 | ||
| − | Symmetries and Design Science: Two Graduate Courses for a Mathematics Education Program | + | * Reza Sarhangi and Jay Zimmerman: Symmetries and Design Science: Two Graduate Courses for a Mathematics Education Program. Pages 357–366 http://archive.bridgesmathart.org/2005/bridges2005-357.html http://archive.bridgesmathart.org/2005/bridges2005-357.pdf |
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| − | Pages 357–366 | ||
| − | + | * Ulrich Hermisson and Robert V. Moody: Making Mathematical Posters. Pages 367–368 http://archive.bridgesmathart.org/2005/bridges2005-367.html http://archive.bridgesmathart.org/2005/bridges2005-367.pdf | |
| − | Ulrich Hermisson and Robert V. Moody | ||
| − | Pages 367–368 | ||
| − | + | * Jay Kappraff, Slavik Jablan, Gary Adamson and Radmila Sazdanovich: Golden Fields, Generalized Fibonacci Sequences, and Chaotic Matrices. Pages 369–378 http://archive.bridgesmathart.org/2005/bridges2005-369.html http://archive.bridgesmathart.org/2005/bridges2005-369.pdf | |
| − | Jay Kappraff, Slavik Jablan, Gary Adamson and Radmila Sazdanovich | ||
| − | Pages 369–378 | ||
| − | Space from Nonspace: Emergent Spatiality in Dynamic Graphs | + | * Tim Boykett: Space from Nonspace: Emergent Spatiality in Dynamic Graphs. Pages 379–380 http://archive.bridgesmathart.org/2005/bridges2005-379.html http://archive.bridgesmathart.org/2005/bridges2005-379.pdf |
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| − | Pages 379–380 | ||
| − | Satellite Ballet by Flower Constellations | + | * Daniele Mortari: Satellite Ballet by Flower Constellations. Pages 381–382 http://archive.bridgesmathart.org/2005/bridges2005-381.html http://archive.bridgesmathart.org/2005/bridges2005-381.pdf |
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| − | Pages 381–382 | ||
| − | Anamorphosis.com: Computers, Mathematics and Art | + | * Phillip Kent: Anamorphosis.com: Computers, Mathematics and Art. Pages 383–384 http://archive.bridgesmathart.org/2005/bridges2005-383.html http://archive.bridgesmathart.org/2005/bridges2005-383.pdf |
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| − | Pages 383–384 | ||
| − | + | * Javier Barrallo and Santiago Sanchez-Beitia: Mathematical Models of Gothic Structures. Pages 385–392 http://archive.bridgesmathart.org/2005/bridges2005-385.html http://archive.bridgesmathart.org/2005/bridges2005-385.pdf | |
| − | Javier Barrallo and Santiago Sanchez-Beitia | ||
| − | Pages 385–392 | ||
| − | Donald Coxeter: The Man who Saved Geometry | + | * Siobhan Roberts: Donald Coxeter: The Man who Saved Geometry. Pages 393–402 http://archive.bridgesmathart.org/2005/bridges2005-393.html http://archive.bridgesmathart.org/2005/bridges2005-393.pdf |
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| − | Pages 393–402 | ||
| − | Symmetric Linear Constructions in Motion | + | * Douglas G. Burkholder: Symmetric Linear Constructions in Motion. Pages 403–410 http://archive.bridgesmathart.org/2005/bridges2005-403.html http://archive.bridgesmathart.org/2005/bridges2005-403.pdf |
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| − | Pages 403–410 | ||
| − | Coxetering Crystals | + | * Marjorie Senechal: Coxetering Crystals. Pages 411–418 http://archive.bridgesmathart.org/2005/bridges2005-411.html http://archive.bridgesmathart.org/2005/bridges2005-411.pdf |
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| − | Pages 411–418 | ||
| − | Two Results Concerning the Zome Model of the 600-Cell | + | * David A. Richter: Two Results Concerning the Zome Model of the 600-Cell. Pages 419–426 http://archive.bridgesmathart.org/2005/bridges2005-419.html http://archive.bridgesmathart.org/2005/bridges2005-419.pdf |
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| − | Pages 419–426 | ||
| − | Fractal Tilings Based on Dissections of Polyhexes | + | * Robert W. Fathauer: Fractal Tilings Based on Dissections of Polyhexes. Pages 427–434 http://archive.bridgesmathart.org/2005/bridges2005-427.html http://archive.bridgesmathart.org/2005/bridges2005-427.pdf |
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| − | Pages 427–434 | ||
| − | Mosaic Art: from Pebbles to Pixels | + | * Irene Rousseau: Mosaic Art: from Pebbles to Pixels. Pages 435–442 http://archive.bridgesmathart.org/2005/bridges2005-435.html http://archive.bridgesmathart.org/2005/bridges2005-435.pdf |
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| − | Pages 435–442 | ||
| − | Serial Polar Transformation Motifs Revisited | + | * Gary R. Greenfield: Serial Polar Transformation Motifs Revisited. Pages 443–448 http://archive.bridgesmathart.org/2005/bridges2005-443.html http://archive.bridgesmathart.org/2005/bridges2005-443.pdf |
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| − | Pages 443–448 | ||
| + | * George W. Hart: Orderly Tangles Revisited. Pages 449–456 http://archive.bridgesmathart.org/2005/bridges2005-449.html http://archive.bridgesmathart.org/2005/bridges2005-449.pdf | ||
| − | + | * Joshua Jacobs: Factor Group Transformations on Escher Patterns. Pages 457–462 http://archive.bridgesmathart.org/2005/bridges2005-457.html http://archive.bridgesmathart.org/2005/bridges2005-457.pdf | |
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| − | + | * Carlo H. Séquin: Symmetrical Hamiltonian Manifolds on Regular 3D and 4D Polytopes. Pages 463–472 http://archive.bridgesmathart.org/2005/bridges2005-463.html http://archive.bridgesmathart.org/2005/bridges2005-463.pdf | |
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| − | + | * Doris Schattschneider: Coxeter and the Artists: Two-Way Inspiration, Part 2. Pages 473–480 http://archive.bridgesmathart.org/2005/bridges2005-473.html http://archive.bridgesmathart.org/2005/bridges2005-473.pdf | |
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| − | + | * Robert McDermott: Polyhedral Transformation: Explosion-Implosion. Pages 481–488 http://archive.bridgesmathart.org/2005/bridges2005-481.html http://archive.bridgesmathart.org/2005/bridges2005-481.pdf | |
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| − | + | * Robert J. MacG. Dawson: Some New Tilings of the Sphere with Congruent Triangles. Pages 489–496 http://archive.bridgesmathart.org/2005/bridges2005-489.html http://archive.bridgesmathart.org/2005/bridges2005-489.pdf | |
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| − | + | * Douglas Dunham: H.S.M. Coxeter and Tony Bomford's Colored Hyperbolic Rugs. Pages 497–504 http://archive.bridgesmathart.org/2005/bridges2005-497.html http://archive.bridgesmathart.org/2005/bridges2005-497.pdf | |
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| − | + | * George W. Hart: Paper Polylinks. Pages 505–508 http://archive.bridgesmathart.org/2005/bridges2005-505.html http://archive.bridgesmathart.org/2005/bridges2005-505.pdf | |
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| − | + | * Virginia Usnick and Marilyn Sue Ford: Connecting Gross-motor Movement, Dance, and Mathematics in the Elementary Curriculum. Pages 521–522 http://archive.bridgesmathart.org/2005/bridges2005-521.html http://archive.bridgesmathart.org/2005/bridges2005-521.pdf | |
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| − | + | * Robert McDermott: A Physical Proof for Five and Only Five Regular Solids. Pages 523–528 http://archive.bridgesmathart.org/2005/bridges2005-523.html http://archive.bridgesmathart.org/2005/bridges2005-523.pdf | |
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| − | + | * John Belcher: Playing Mathematics and Doing Music. Pages 529–530 http://archive.bridgesmathart.org/2005/bridges2005-529.html http://archive.bridgesmathart.org/2005/bridges2005-529.pdf | |
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| + | * Mara Alagic and Diana Palenz: Dynamic Geometry/Art in Mathematics Classroom. Pages 531–535 http://archive.bridgesmathart.org/2005/bridges2005-531.html http://archive.bridgesmathart.org/2005/bridges2005-531.pdf | ||
Version vom 11. Dezember 2014, 21:49 Uhr
Inhaltsverzeichnis
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
- The Editors: Front Matter http://archive.bridgesmathart.org/2005/frontmatter.pdf
- 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
- Anne M. Burns: Recursion in Nature, Mathematics and Art. Pages 9–16 http://archive.bridgesmathart.org/2005/bridges2005-9.html http://archive.bridgesmathart.org/2005/bridges2005-9.pdf
- Chris Bartlett: Fairfield Porter's Secret Geometry. Pages 17–24 http://archive.bridgesmathart.org/2005/bridges2005-17.html http://archive.bridgesmathart.org/2005/bridges2005-17.pdf
- Paul Gailiunas: Meanders. Pages 25–30 http://archive.bridgesmathart.org/2005/bridges2005-25.html http://archive.bridgesmathart.org/2005/bridges2005-25.pdf
- Stanley Spencer: An Introduction to the Golden Tangram and its Tiling Properties. Pages 31–36 http://archive.bridgesmathart.org/2005/bridges2005-31.html http://archive.bridgesmathart.org/2005/bridges2005-31.pdf
- Chris K. Palmer: Spiral Tilings with C-curves Using Combinatorics to Augment Tradition. Pages 37–46 http://archive.bridgesmathart.org/2005/bridges2005-37.html http://archive.bridgesmathart.org/2005/bridges2005-37.pdf
- Godfried Toussaint: The Euclidean Algorithm Generates Traditional Musical Rhythms. Pages 47–56 http://archive.bridgesmathart.org/2005/bridges2005-47.html http://archive.bridgesmathart.org/2005/bridges2005-47.pdf
- Marcia Ascher: Malekula Sand Tracings: A Case in Ethnomathematics. Pages 57–64 http://archive.bridgesmathart.org/2005/bridges2005-57.html http://archive.bridgesmathart.org/2005/bridges2005-57.pdf
- Susan Happersett: Generative Art and Aesthetics. Pages 65–66 http://archive.bridgesmathart.org/2005/bridges2005-65.html http://archive.bridgesmathart.org/2005/bridges2005-65.pdf
- David Rappaport: Geometry and Harmony. Pages 67–72 http://archive.bridgesmathart.org/2005/bridges2005-67.html http://archive.bridgesmathart.org/2005/bridges2005-67.pdf
- F. Gómez, A. Melvin, D. Rappaport and G.T. Toussaint: Mathematical Measures of Syncopation. Pages 73–84 http://archive.bridgesmathart.org/2005/bridges2005-73.html http://archive.bridgesmathart.org/2005/bridges2005-73.pdf
- Jan Zwicky: Mathematical Analogy and Metaphorical Insight. Pages 85–92 http://archive.bridgesmathart.org/2005/bridges2005-85.html http://archive.bridgesmathart.org/2005/bridges2005-85.pdf
- 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
- Robert V. Moody: Alice Boner and the Geometry of Temple Cave Art of India. Pages 101–108 http://archive.bridgesmathart.org/2005/bridges2005-101.html http://archive.bridgesmathart.org/2005/bridges2005-101.pdf
- Robert McDermott: A Ukrainian Easter Egg Monument Stands for Thirty Years. Pages 109–116 http://archive.bridgesmathart.org/2005/bridges2005-109.html http://archive.bridgesmathart.org/2005/bridges2005-109.pdf
- Christopher Arthur: The Harmony of the World. Pages 117–118 http://archive.bridgesmathart.org/2005/bridges2005-117.html http://archive.bridgesmathart.org/2005/bridges2005-117.pdf
- Russell Jay Hendel: Pedagogical Principles for Teaching Art in Mathematics Courses. Pages 119–120 http://archive.bridgesmathart.org/2005/bridges2005-119.html http://archive.bridgesmathart.org/2005/bridges2005-119.pdf
- John Sharp: D-forms and developable surfaces. Pages 121–128 http://archive.bridgesmathart.org/2005/bridges2005-121.html http://archive.bridgesmathart.org/2005/bridges2005-121.pdf
- Carla Farsi: (Vector) Fields of Mathematical Poetry. Pages 129–130 http://archive.bridgesmathart.org/2005/bridges2005-129.html http://archive.bridgesmathart.org/2005/bridges2005-129.pdf
- Duncan J. Melville: Aspects of Symmetry in Arpachiyah Pottery. Pages 131–136 http://archive.bridgesmathart.org/2005/bridges2005-131.html http://archive.bridgesmathart.org/2005/bridges2005-131.pdf
- Gary R. Greenfield: Abstract Art from a Model for Cellular Morphogenesis. Pages 137–142 http://archive.bridgesmathart.org/2005/bridges2005-137.html http://archive.bridgesmathart.org/2005/bridges2005-137.pdf
- Barbra Gregory: The Complexity of the Musical Vocabulary of the Nzakara Harpists. Pages 143–148 http://archive.bridgesmathart.org/2005/bridges2005-143.html http://archive.bridgesmathart.org/2005/bridges2005-143.pdf
- Irit Wertheim, Emzar Panikashvili, Gershon Elber and Nitsa Movshovitz-Hadar: A Computerized Environment for Learning and Teaching 3-D Geometry. Pages 149–154 http://archive.bridgesmathart.org/2005/bridges2005-149.html http://archive.bridgesmathart.org/2005/bridges2005-149.pdf
- Sarah C. Melville: Symmetry and the Sacred Date Palm in the Palace of Ashurnasirpal II, King of Assyria. Pages 155–160 http://archive.bridgesmathart.org/2005/bridges2005-155.html http://archive.bridgesmathart.org/2005/bridges2005-155.pdf
- Rinus Roelofs: Three-Dimensional and Dynamic Constructions Based on Leonardo Grids. Pages 161–168 http://archive.bridgesmathart.org/2005/bridges2005-161.html http://archive.bridgesmathart.org/2005/bridges2005-161.pdf
- Bart de Smit: The Droste-Effect and the Exponential Transform. Pages 169–178 http://archive.bridgesmathart.org/2005/bridges2005-169.html http://archive.bridgesmathart.org/2005/bridges2005-169.pdf
- Dániel Erdély: Some Surprising New Properties of the Spidrons. Pages 179–186 http://archive.bridgesmathart.org/2005/bridges2005-179.html http://archive.bridgesmathart.org/2005/bridges2005-179.pdf
- Jinnah Yu and Ergun Akleman: Video Screening. Pages 187–194 http://archive.bridgesmathart.org/2005/bridges2005-187.html http://archive.bridgesmathart.org/2005/bridges2005-187.pdf
- Joseph E. Flannick, Rachel W. Hall and Robert Kelly: Detecting Meter in Recorded Music. Pages 195–202 http://archive.bridgesmathart.org/2005/bridges2005-195.html http://archive.bridgesmathart.org/2005/bridges2005-195.pdf
- Vinod Srinivasan, Esan Mandal and Ergun Akleman: Solidifying Wireframes. Pages 203–210 http://archive.bridgesmathart.org/2005/bridges2005-203.html http://archive.bridgesmathart.org/2005/bridges2005-203.pdf
- Carlo H. Séquin: Splitting Tori, Knots, and Moebius Bands. Pages 211–218 http://archive.bridgesmathart.org/2005/bridges2005-211.html http://archive.bridgesmathart.org/2005/bridges2005-211.pdf
- Carol Bier: Symmetry and Symmetry-Breaking - An Approach to Understanding Beauty. Pages 219–226 http://archive.bridgesmathart.org/2005/bridges2005-219.html http://archive.bridgesmathart.org/2005/bridges2005-219.pdf
- Alison Fleming, Sharon Frechette and Sarah Luria: An Interdisciplinary Course: "On Beauty: Perspective, Proportion, and Rationalism in Western Culture". Pages 227–230 http://archive.bridgesmathart.org/2005/bridges2005-227.html http://archive.bridgesmathart.org/2005/bridges2005-227.pdf
- Pau Atela: Looking At Math: Using Art to Teach Mathematics. Pages 231–236 http://archive.bridgesmathart.org/2005/bridges2005-231.html http://archive.bridgesmathart.org/2005/bridges2005-231.pdf
- Michael Mahan: Using 3-D Models as Image Generators For Digital Fiction. Pages 237–244 http://archive.bridgesmathart.org/2005/bridges2005-237.html http://archive.bridgesmathart.org/2005/bridges2005-237.pdf
- Robert J. Krawczyk: Fermat's Spiral Mandalas. Pages 245–250 http://archive.bridgesmathart.org/2005/bridges2005-245.html http://archive.bridgesmathart.org/2005/bridges2005-245.pdf
- Barbara Setsu Pickett: Symmetry, Proportion and Scale: Tools for the Jacquard Designer and Weaver of Silk Velvet. Pages 251–254 http://archive.bridgesmathart.org/2005/bridges2005-251.html http://archive.bridgesmathart.org/2005/bridges2005-251.pdf
- 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
- L. Kerry Mitchell: Illustrating Number Sequences. Pages 263–268 http://archive.bridgesmathart.org/2005/bridges2005-263.html http://archive.bridgesmathart.org/2005/bridges2005-263.pdf
- Donald W. Crowe and Dorothy K. Washburn: Geometrical, Perceptual, and Cultural Perspectives on Figure/Ground Differences in Bakuba Pattern. Pages 269–276 http://archive.bridgesmathart.org/2005/bridges2005-269.html http://archive.bridgesmathart.org/2005/bridges2005-269.pdf
- Michael Frantz: A Perspective on Infinity: Anamorphism and Stereographic Projection. Pages 277–284 http://archive.bridgesmathart.org/2005/bridges2005-277.html http://archive.bridgesmathart.org/2005/bridges2005-277.pdf
- B. Lynn Bodner: A Geometric Analysis of the Seven Heavens. Pages 285–292 http://archive.bridgesmathart.org/2005/bridges2005-285.html http://archive.bridgesmathart.org/2005/bridges2005-285.pdf
- Richard Hermann and Jack Douthett: On Parsimonious Sequences as Scales in Western Music. Pages 293–300 http://archive.bridgesmathart.org/2005/bridges2005-293.html http://archive.bridgesmathart.org/2005/bridges2005-293.pdf
- Craig S. Kaplan and Robert Bosch: TSP Art. Pages 301–308 http://archive.bridgesmathart.org/2005/bridges2005-301.html http://archive.bridgesmathart.org/2005/bridges2005-301.pdf
- Curtis Palmer: Digitally Spelunking the Spline Mine. Pages 309–312 http://archive.bridgesmathart.org/2005/bridges2005-309.html http://archive.bridgesmathart.org/2005/bridges2005-309.pdf
- 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. Pages 313–320 http://archive.bridgesmathart.org/2005/bridges2005-313.html http://archive.bridgesmathart.org/2005/bridges2005-313.pdf
- Bahman Kalantari: Two and Three-Dimensional Art Inspired by Polynomiography. Pages 321–328 http://archive.bridgesmathart.org/2005/bridges2005-321.html http://archive.bridgesmathart.org/2005/bridges2005-321.pdf
- Ioana Mihaila: Tessellations from Group Actions and the Mystery of Escher's Solid. Pages 329–330 http://archive.bridgesmathart.org/2005/bridges2005-329.html http://archive.bridgesmathart.org/2005/bridges2005-329.pdf
- Hourieh Mashayekh: Wisdom in Art: Mathematics in Islamic Architecture in Iran. Pages 331–336 http://archive.bridgesmathart.org/2005/bridges2005-331.html http://archive.bridgesmathart.org/2005/bridges2005-331.pdf
- Michael McConnell and Jim Rose: NAMAN: Dream Altars, Vietnam: A Search for use of the Golden Mean and its Affect on Design and Content. Pages 337–338 http://archive.bridgesmathart.org/2005/bridges2005-337.html http://archive.bridgesmathart.org/2005/bridges2005-337.pdf
- Barry Cipra, Peter Hamburger and Edit Hepp: Aesthetic Aspects of Venn Diagrams. Pages 339–342 http://archive.bridgesmathart.org/2005/bridges2005-339.html http://archive.bridgesmathart.org/2005/bridges2005-339.pdf
- Tiziana Giorgi and Robert Smits: Dynamics on Discrete Structures: A Dialog between Squares and Circles. Pages 343–344 http://archive.bridgesmathart.org/2005/bridges2005-343.html http://archive.bridgesmathart.org/2005/bridges2005-343.pdf
- Akihiro Matsuura: Strange Physical Motion of Balls in a Cylinder. Pages 345–346 http://archive.bridgesmathart.org/2005/bridges2005-345.html http://archive.bridgesmathart.org/2005/bridges2005-345.pdf
- Dirk Huylebrouck: z-Irrationality search: After a Golden Section Approach, Another Esthetic but Vain Attempt. Pages 347–348 http://archive.bridgesmathart.org/2005/bridges2005-347.html http://archive.bridgesmathart.org/2005/bridges2005-347.pdf
- Craig S. Kaplan: Aliasing Artifacts and Accidental Algorithmic Art. Pages 349–356 http://archive.bridgesmathart.org/2005/bridges2005-349.html http://archive.bridgesmathart.org/2005/bridges2005-349.pdf
- Reza Sarhangi and Jay Zimmerman: Symmetries and Design Science: Two Graduate Courses for a Mathematics Education Program. Pages 357–366 http://archive.bridgesmathart.org/2005/bridges2005-357.html http://archive.bridgesmathart.org/2005/bridges2005-357.pdf
- Ulrich Hermisson and Robert V. Moody: Making Mathematical Posters. Pages 367–368 http://archive.bridgesmathart.org/2005/bridges2005-367.html http://archive.bridgesmathart.org/2005/bridges2005-367.pdf
- Jay Kappraff, Slavik Jablan, Gary Adamson and Radmila Sazdanovich: Golden Fields, Generalized Fibonacci Sequences, and Chaotic Matrices. Pages 369–378 http://archive.bridgesmathart.org/2005/bridges2005-369.html http://archive.bridgesmathart.org/2005/bridges2005-369.pdf
- Tim Boykett: Space from Nonspace: Emergent Spatiality in Dynamic Graphs. Pages 379–380 http://archive.bridgesmathart.org/2005/bridges2005-379.html http://archive.bridgesmathart.org/2005/bridges2005-379.pdf
- Daniele Mortari: Satellite Ballet by Flower Constellations. Pages 381–382 http://archive.bridgesmathart.org/2005/bridges2005-381.html http://archive.bridgesmathart.org/2005/bridges2005-381.pdf
- Phillip Kent: Anamorphosis.com: Computers, Mathematics and Art. Pages 383–384 http://archive.bridgesmathart.org/2005/bridges2005-383.html http://archive.bridgesmathart.org/2005/bridges2005-383.pdf
- Javier Barrallo and Santiago Sanchez-Beitia: Mathematical Models of Gothic Structures. Pages 385–392 http://archive.bridgesmathart.org/2005/bridges2005-385.html http://archive.bridgesmathart.org/2005/bridges2005-385.pdf
- Siobhan Roberts: Donald Coxeter: The Man who Saved Geometry. Pages 393–402 http://archive.bridgesmathart.org/2005/bridges2005-393.html http://archive.bridgesmathart.org/2005/bridges2005-393.pdf
- Douglas G. Burkholder: Symmetric Linear Constructions in Motion. Pages 403–410 http://archive.bridgesmathart.org/2005/bridges2005-403.html http://archive.bridgesmathart.org/2005/bridges2005-403.pdf
- Marjorie Senechal: Coxetering Crystals. Pages 411–418 http://archive.bridgesmathart.org/2005/bridges2005-411.html http://archive.bridgesmathart.org/2005/bridges2005-411.pdf
- David A. Richter: Two Results Concerning the Zome Model of the 600-Cell. Pages 419–426 http://archive.bridgesmathart.org/2005/bridges2005-419.html http://archive.bridgesmathart.org/2005/bridges2005-419.pdf
- Robert W. Fathauer: Fractal Tilings Based on Dissections of Polyhexes. Pages 427–434 http://archive.bridgesmathart.org/2005/bridges2005-427.html http://archive.bridgesmathart.org/2005/bridges2005-427.pdf
- Irene Rousseau: Mosaic Art: from Pebbles to Pixels. Pages 435–442 http://archive.bridgesmathart.org/2005/bridges2005-435.html http://archive.bridgesmathart.org/2005/bridges2005-435.pdf
- Gary R. Greenfield: Serial Polar Transformation Motifs Revisited. Pages 443–448 http://archive.bridgesmathart.org/2005/bridges2005-443.html http://archive.bridgesmathart.org/2005/bridges2005-443.pdf
- George W. Hart: Orderly Tangles Revisited. Pages 449–456 http://archive.bridgesmathart.org/2005/bridges2005-449.html http://archive.bridgesmathart.org/2005/bridges2005-449.pdf
- Joshua Jacobs: Factor Group Transformations on Escher Patterns. Pages 457–462 http://archive.bridgesmathart.org/2005/bridges2005-457.html http://archive.bridgesmathart.org/2005/bridges2005-457.pdf
- Carlo H. Séquin: Symmetrical Hamiltonian Manifolds on Regular 3D and 4D Polytopes. Pages 463–472 http://archive.bridgesmathart.org/2005/bridges2005-463.html http://archive.bridgesmathart.org/2005/bridges2005-463.pdf
- Doris Schattschneider: Coxeter and the Artists: Two-Way Inspiration, Part 2. Pages 473–480 http://archive.bridgesmathart.org/2005/bridges2005-473.html http://archive.bridgesmathart.org/2005/bridges2005-473.pdf
- Robert McDermott: Polyhedral Transformation: Explosion-Implosion. Pages 481–488 http://archive.bridgesmathart.org/2005/bridges2005-481.html http://archive.bridgesmathart.org/2005/bridges2005-481.pdf
- Robert J. MacG. Dawson: Some New Tilings of the Sphere with Congruent Triangles. Pages 489–496 http://archive.bridgesmathart.org/2005/bridges2005-489.html http://archive.bridgesmathart.org/2005/bridges2005-489.pdf
- Douglas Dunham: H.S.M. Coxeter and Tony Bomford's Colored Hyperbolic Rugs. Pages 497–504 http://archive.bridgesmathart.org/2005/bridges2005-497.html http://archive.bridgesmathart.org/2005/bridges2005-497.pdf
- George W. Hart: Paper Polylinks. Pages 505–508 http://archive.bridgesmathart.org/2005/bridges2005-505.html http://archive.bridgesmathart.org/2005/bridges2005-505.pdf
- Cheryl Whitelaw: A Thousand Cranes and Statistics. Pages 509–510 http://archive.bridgesmathart.org/2005/bridges2005-509.html http://archive.bridgesmathart.org/2005/bridges2005-509.pdf
- Gwen L. Fisher: A Method for Illustrating Border and Wallpaper Patterns. Pages 511–518 http://archive.bridgesmathart.org/2005/bridges2005-511.html http://archive.bridgesmathart.org/2005/bridges2005-511.pdf
- Stefanie Mandelbaum and Jacqueline S. Guttman: Tessellation Techniques. Pages 519–520 http://archive.bridgesmathart.org/2005/bridges2005-519.html http://archive.bridgesmathart.org/2005/bridges2005-519.pdf
- Virginia Usnick and Marilyn Sue Ford: Connecting Gross-motor Movement, Dance, and Mathematics in the Elementary Curriculum. Pages 521–522 http://archive.bridgesmathart.org/2005/bridges2005-521.html http://archive.bridgesmathart.org/2005/bridges2005-521.pdf
- Robert McDermott: A Physical Proof for Five and Only Five Regular Solids. Pages 523–528 http://archive.bridgesmathart.org/2005/bridges2005-523.html http://archive.bridgesmathart.org/2005/bridges2005-523.pdf
- John Belcher: Playing Mathematics and Doing Music. 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. Pages 531–535 http://archive.bridgesmathart.org/2005/bridges2005-531.html http://archive.bridgesmathart.org/2005/bridges2005-531.pdf
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