Bridges 2005

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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. Pages 17–24 http://archive.bridgesmathart.org/2005/bridges2005-17.html http://archive.bridgesmathart.org/2005/bridges2005-17.pdf

• Paul Gailiunas: Meanders. In: Bridges 2005. Pages 25–30 http://archive.bridgesmathart.org/2005/bridges2005-25.html http://archive.bridgesmathart.org/2005/bridges2005-25.pdf

• Stanley Spencer: An Introduction to the Golden Tangram and its Tiling Properties. In: Bridges 2005. Pages 31–36 http://archive.bridgesmathart.org/2005/bridges2005-31.html http://archive.bridgesmathart.org/2005/bridges2005-31.pdf

• Chris K. Palmer: Spiral Tilings with C-curves Using Combinatorics to Augment Tradition. In: Bridges 2005. Pages 37–46 http://archive.bridgesmathart.org/2005/bridges2005-37.html http://archive.bridgesmathart.org/2005/bridges2005-37.pdf

• Godfried Toussaint: The Euclidean Algorithm Generates Traditional Musical Rhythms. In: Bridges 2005. Pages 47–56 http://archive.bridgesmathart.org/2005/bridges2005-47.html http://archive.bridgesmathart.org/2005/bridges2005-47.pdf

• Marcia Ascher: Malekula Sand Tracings: A Case in Ethnomathematics. In: Bridges 2005. Pages 57–64 http://archive.bridgesmathart.org/2005/bridges2005-57.html http://archive.bridgesmathart.org/2005/bridges2005-57.pdf

• Susan Happersett: Generative Art and Aesthetics. In: Bridges 2005. Pages 65–66 http://archive.bridgesmathart.org/2005/bridges2005-65.html http://archive.bridgesmathart.org/2005/bridges2005-65.pdf

• David Rappaport: Geometry and Harmony. In: Bridges 2005. Pages 67–72 http://archive.bridgesmathart.org/2005/bridges2005-67.html http://archive.bridgesmathart.org/2005/bridges2005-67.pdf

• F. Gómez, A. Melvin, D. Rappaport and G.T. Toussaint: Mathematical Measures of Syncopation. In: Bridges 2005. Pages 73–84 http://archive.bridgesmathart.org/2005/bridges2005-73.html http://archive.bridgesmathart.org/2005/bridges2005-73.pdf

• Jan Zwicky: Mathematical Analogy and Metaphorical Insight. In: Bridges 2005. Pages 85–92 http://archive.bridgesmathart.org/2005/bridges2005-85.html http://archive.bridgesmathart.org/2005/bridges2005-85.pdf

• 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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". In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. 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. In: Bridges 2005. Pages 403–410 http://archive.bridgesmathart.org/2005/bridges2005-403.html http://archive.bridgesmathart.org/2005/bridges2005-403.pdf

• Marjorie Senechal: Coxetering Crystals. In: Bridges 2005. Pages 411–418 http://archive.bridgesmathart.org/2005/bridges2005-411.html http://archive.bridgesmathart.org/2005/bridges2005-411.pdf

• David A. Richter: Two Results Concerning the Zome Model of the 600-Cell. In: Bridges 2005. Pages 419–426 http://archive.bridgesmathart.org/2005/bridges2005-419.html http://archive.bridgesmathart.org/2005/bridges2005-419.pdf

• Robert W. Fathauer: Fractal Tilings Based on Dissections of Polyhexes. In: Bridges 2005. Pages 427–434 http://archive.bridgesmathart.org/2005/bridges2005-427.html http://archive.bridgesmathart.org/2005/bridges2005-427.pdf

• Irene Rousseau: Mosaic Art: from Pebbles to Pixels. In: Bridges 2005. Pages 435–442 http://archive.bridgesmathart.org/2005/bridges2005-435.html http://archive.bridgesmathart.org/2005/bridges2005-435.pdf

• Gary R. Greenfield: Serial Polar Transformation Motifs Revisited. In: Bridges 2005. Pages 443–448 http://archive.bridgesmathart.org/2005/bridges2005-443.html http://archive.bridgesmathart.org/2005/bridges2005-443.pdf

• George W. Hart: Orderly Tangles Revisited. In: Bridges 2005. Pages 449–456 http://archive.bridgesmathart.org/2005/bridges2005-449.html http://archive.bridgesmathart.org/2005/bridges2005-449.pdf

• Joshua Jacobs: Factor Group Transformations on Escher Patterns. In: Bridges 2005. Pages 457–462 http://archive.bridgesmathart.org/2005/bridges2005-457.html http://archive.bridgesmathart.org/2005/bridges2005-457.pdf

• Carlo H. Séquin: Symmetrical Hamiltonian Manifolds on Regular 3D and 4D Polytopes. In: Bridges 2005. Pages 463–472 http://archive.bridgesmathart.org/2005/bridges2005-463.html http://archive.bridgesmathart.org/2005/bridges2005-463.pdf

• Doris Schattschneider: Coxeter and the Artists: Two-Way Inspiration, Part 2. In: Bridges 2005. Pages 473–480 http://archive.bridgesmathart.org/2005/bridges2005-473.html http://archive.bridgesmathart.org/2005/bridges2005-473.pdf

• Robert McDermott: Polyhedral Transformation: Explosion-Implosion. In: Bridges 2005. Pages 481–488 http://archive.bridgesmathart.org/2005/bridges2005-481.html http://archive.bridgesmathart.org/2005/bridges2005-481.pdf

• Robert J. MacG. Dawson: Some New Tilings of the Sphere with Congruent Triangles. In: Bridges 2005. Pages 489–496 http://archive.bridgesmathart.org/2005/bridges2005-489.html http://archive.bridgesmathart.org/2005/bridges2005-489.pdf

• Douglas Dunham: H.S.M. Coxeter and Tony Bomford's Colored Hyperbolic Rugs. In: Bridges 2005. Pages 497–504 http://archive.bridgesmathart.org/2005/bridges2005-497.html http://archive.bridgesmathart.org/2005/bridges2005-497.pdf

• George W. Hart: Paper Polylinks. In: Bridges 2005. Pages 505–508 http://archive.bridgesmathart.org/2005/bridges2005-505.html http://archive.bridgesmathart.org/2005/bridges2005-505.pdf

• Cheryl Whitelaw: A Thousand Cranes and Statistics. In: Bridges 2005. Pages 509–510 http://archive.bridgesmathart.org/2005/bridges2005-509.html http://archive.bridgesmathart.org/2005/bridges2005-509.pdf

• Gwen L. Fisher: A Method for Illustrating Border and Wallpaper Patterns. In: Bridges 2005. Pages 511–518 http://archive.bridgesmathart.org/2005/bridges2005-511.html http://archive.bridgesmathart.org/2005/bridges2005-511.pdf

• Stefanie Mandelbaum and Jacqueline S. Guttman: Tessellation Techniques. In: Bridges 2005. Pages 519–520 http://archive.bridgesmathart.org/2005/bridges2005-519.html http://archive.bridgesmathart.org/2005/bridges2005-519.pdf

• Virginia Usnick and Marilyn Sue Ford: Connecting Gross-motor Movement, Dance, and Mathematics in the Elementary Curriculum. In: Bridges 2005. Pages 521–522 http://archive.bridgesmathart.org/2005/bridges2005-521.html http://archive.bridgesmathart.org/2005/bridges2005-521.pdf

• Robert McDermott: A Physical Proof for Five and Only Five Regular Solids. In: Bridges 2005. Pages 523–528 http://archive.bridgesmathart.org/2005/bridges2005-523.html http://archive.bridgesmathart.org/2005/bridges2005-523.pdf

• John Belcher: Playing Mathematics and Doing Music. In: Bridges 2005. Pages 529–530 http://archive.bridgesmathart.org/2005/bridges2005-529.html http://archive.bridgesmathart.org/2005/bridges2005-529.pdf

• Mara Alagic and Diana Palenz: Dynamic Geometry/Art in Mathematics Classroom. In: Bridges 2005. Pages 531–535 http://archive.bridgesmathart.org/2005/bridges2005-531.html http://archive.bridgesmathart.org/2005/bridges2005-531.pdf

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