Bridges 2012

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Reference

Robert Bosch, Douglas McKenna, Reza Sarhangi: Bridges 2012, Mathematics, Music, Art, Architecture, Culture. 15th Annual Bridges Conference at Towson University Towson, Maryland, USA, 2012. ISBN: 978-1-938664-00-7

DOI

Abstract

Extended Abstract

Reviews

Bibtex

Table of contents

  • Front Matter: The Editors
  • John Mather: Science, Art, Beauty, the Meaning of Life, and the James Webb Telescope. Pages 1–8
  • Ingrid Daubechies: Developing Mathematical Tools to Investigate Art. Pages 9–16
  • Helaman Ferguson and Claire Ferguson: Celebrating Mathematics in Stone and Bronze: Umbilic Torus NC vs SC. Pages 17–24
  • Tom Verhoeff and Koos Verhoeff: Mitered Fractal Trees: Constructions and Properties. Pages 25–32
  • Mike Naylor: The Mathematical Art of Juggling: Using Mathematics to Predict, Describe and Create. Pages 33–40
  • Greg N. Frederickson: My Parade of Algorithmic Mathematical Art. Pages 41–48
  • Yahan Zhou and Rui Wang: An Algorithm for Creating Geometric Dissection Puzzles. Pages 49–56
  • George Hart: Bringing M. C. Escher's Planaria to Life. Pages 57–64
  • Sarah Glaz: Mathematical Pattern Poetry. Pages 65–72
  • Marion Deutsche Cohen: Math in Poetry: Half of a Course. Pages 73–78
  • Tatiana Bonch-Osmolovskaya: Art of π: Mathematical History and Literary Inspiration. Pages 79–84
  • Yutu Liu, Ergun Akleman, Jianer Chen: Never-ending Storytelling with Discrete-Time Markov Processes. Pages 85–92
  • Carlo H. Séquin: From Möbius Bands to Klein-Knottles. Pages 93–102
  • Saul Schleimer and Henry Segerman: Sculptures in S3.Pages 103–110
  • Rinus Roelofs: Splitting Tilings. Pages 111–118
  • Walt van Ballegooijen: Playing with the Platonics: A New Class of Polyhedra. Pages 119–124
  • William F. Duffy: Sculpture Inspired by Connectivity in Nature. Pages 125–132
  • Tiffany C. Inglis and Craig S. Kaplan: Circle patterns in Gothic Architecture. Pages 133–140
  • Jay Bonner and Marc Pelletier: A 7-Fold System for Creating Islamic Geometric Patterns Part 1: Historical Antecedents. Pages 141–148
  • Marc Pelletier and Jay Bonner: A 7-Fold System for Creating Islamic Geometric Patterns Part 2: Contemporary Expression. Pages 149–156
  • B. Lynn Bodner: The Topkapı Scroll's Thirteen-Pointed Star Polygon Design. Pages 157–164
  • Reza Sarhangi: Polyhedral Modularity in a Special Class of Decagram Based Interlocking Star Polygons. Pages 165–174
  • Asaf Degani, Ron Asherov, Peter J. Lu: Tiles and Patterns of a Field: From Byzantine Churches to User Interface Design. Pages 175–182
  • David Chappell: Sinuous Meander Patterns in Natural Coordinates. Pages 183–190
  • Veronika Irvine: Broadening the Palette for Bobbin Lace: A Combinatorial Approach. Pages 191–198
  • Robert W. Fathauer: Two-color Fractal Tilings. Pages 199–206
  • Elaine Krajenke Ellison: Mohr or Mascheroni? Pages 207–214
  • Javier Barrallo and Santiago Sánchez-Beitia: Guernica. Pages 215–222
  • Paul Tucker: Moorish Fretwork Revisited. Pages 223–230
  • Dirk Huylebrouck: Polyhedra on an Equilateral Hyperboloid. Pages 231–238
  • Kristóf Fenyvesi: The Experience Workshop MathArt Movement: Experience-centered Education of Mathematics through Arts, Sciences, and Playful Activities. Pages 239–246
  • Dorothy K. Washburn and Donald W. Crowe: The Color Symmetries of the Solstices: Ritual Sandals from the Prehistoric American Southwest. Pages 247–250
  • Marcella Giulia Lorenzi and Mauro Francaviglia: Sacred Numbers and Tessellations in Aquileia's XI Century Mosaics. Pages 251–258
  • San Le: Simple Rules for Incorporating Design Art into Penrose and Fractal Tiles. Pages 259–266
  • Nathaniel A. Baylas IV, Teofina A. Rapanut, Ma. Louise Antonette N. De las Peñas: Weaving Symmetry of the Philippine Northern Kankana-ey. Pages 267–274
  • Douglas Dunham: Patterned Triply Periodic Polyhedra.Pages 275–282
  • James Mai: Juan Gris' Compositional Symmetry Transformations. Pages 283–290
  • Gary Greenfield: Stigmmetry Prints from Patterns of Circles. Pages 291–298
  • Loe M. G. Feijs: Geometry and Computation of Houndstooth (Pied-de-poule). Pages 299–306
  • Robert P. Crease and Alfred S. Goldhaber: Art of the Quantum Moment. Pages 307–314
  • Nils Kr. Rossing: The Old Art of Rope Work and Fourier Decomposition. Pages 315–322
  • Qing Xing, Gabriel Esquivel, Ergun Akleman: Twisted D-Forms: Design and Construction of D-Forms with Twisted Prismatic Handles with Developable Sides. Pages 323–328
  • Mehmet Vurkaç: Balanço: The Contour of Relative Offbeatness. Pages 329–336
  • Stanley Spencer: Introducing the Use of the Primary Isosceles Triangles of Regular Polygons to Produce Self Similar Patterns. Pages 337–344
  • Brent Collins: Commissioning a Bridge. Pages 345–348
  • Alessandra Capanna, Mauro Francaviglia, Marcella G. Lorenzi: Architecture, Form, Expression: The Helicoidal Skyscraper's Geometry. Pages 349–356
  • Susan Happersett: Mathematical Sequential Art. Pages 357–358
  • Eve Torrence; Models of Stellations of the Icosahedron. Pages 359–360
  • Radmila Sazdanovic: Fisheye View of Tessellations. Pages 361–364
  • David A. Reimann: Point Symmetry Patterns on a Regular Hexagonal Tessellation. Pages 365–368
  • Bojana Ginn: Knots as Processes in Art and Mathematics. Pages 369–372
  • Stephen Luecking: Building the Schwarz D-Surface from Paper Tiles. Pages 373–376
  • Andrew Lee and Brandon M. Wang: Generating Chinese Knots from Arbitrary Shapes. Pages 377–380
  • Paul Gailiunas: Intersecting Helices. Pages 381–384
  • Karl Kattchee: Rotate, Reflect, Recycle. Pages 385–388
  • Kerry Mitchell: Fun with Chaotic Orbits in the Mandelbrot Set. Pages 389–392
  • Robert J. Krawczyk: Exploring the Visualization of Music. Pages 393–396
  • Bruce Torrence: A Mathematica GUI for Generating Conway Tiles. Pages 397–398
  • Charlene Morrow: The Evolution of An Idea Inspired by 70. Pages 399–402
  • Pau Atela: The MathStudio Pendulum Project. Pages 403–404
  • Hans Kuiper: Optical Minimal Art. Pages 405–408
  • Susan McBurney: From Two Dimensions to Four---and Back Again. Pages 409–412
  • Jay Zimmerman and Kevin Zimmerman: Portraits of Groups in Three Dimensions. Pages 413–414
  • Russell Jay Hendel: Hierarchical Organization in Writing, Poetry, and Mathematics. Pages 415–416
  • Stanley M. Max:The ``Golden Canon of Book-Page Design: A Visual Presentation Using Geometer's Sketchpad. Pages 417–420
  • Tatyana Sorokina: Symmetry and Bivariate Splines. Pages 421–424
  • Roberta La Haye: Geometry and Art with a Circle Cutter. Pages 425–428
  • Maryam Ashkan: Significance of Pointed Domes: Morphology, Typologies, and Geometrical Design. Pages 429–432
  • Kenneth Brecher: The Mazzocchio in Perspective. Pages 433–436
  • Manil Suri: On the Geometry of Metafiction. Pages 437–438
  • Peter Calvache: Dune Surfaces: A Spatial Visualization Technique for Medial Axes in the Plane or on the Sphere. Pages 439–442
  • Brian Evans: To Trace a Creative Thought. Pages 443–446
  • Hartmut F. W. Höft: Images and Illusions from Orthogonal Pairs of Ellipses. Pages 447–448
  • T. Hunter, K. Marinelli, D. Marsh, T. J. Peters: Crystallizing Topology in Molecular Visualizations. Pages 449–452
  • Katarzyna Wasilewska: Mathematics in the World of Dance. Pages 453–456
  • Seyed Mahmood Moeini and Mehrdad Garousi: Fractal Geometry and Persian Carpet. Pages 457–460
  • Ming Tomayko, Sandy Spitzer, Linda Cooper: Escher Unraveled: Using Artwork to Investigate Transformations. Pages 461–462
  • D. Jacob Wildstrom: Structural Qualities and Serial Construction of Tournament Braids. Pages 463–466
  • Maximos A. Kaliakatsos-Papakostas, Andreas Floros, Michael N. Vrahatis: Music Synthesis Based on Nonlinear Dynamics. Pages 467–470
  • J. L. Marsden and B. G. Thomas: Brand Values and the Perception of Symmetry. Pages 471–474
  • Françoise Beck-Pieterhons and Jacques Beck: Diptych View on The Spiral. Pages 475–478
  • Sandy Spitzer: Using Star Polygons to Understand Cyclic Group Structure. Pages 479–480
  • C. J. Fearnley and Jeannie Moberly: Harmonic Perspective. Pages 481–484
  • Boris Kerkez: Extension of Neo-Riemannian PLR-group to Seventh Chords. Pages 485–488
  • Alice Major: Tune and Rhyme: Translation Symmetry at Work. Pages 489–492
  • John Miller: The Immersive Bridge Between Math and Art. Pages 493–494
  • Alice Humphrey and Michael Hann: Steps Towards the Analysis of Geometric Decorative Motifs Using Shape-matching Techniques. Pages 495–498
  • Silvia De Toffoli and Yasuhiro Sakamoto: Meta-Vermeer: A Topological Reinterpretation of a Masterpiece. Pages 499–502
  • Chern Chuang, Bih-Yaw Jin, Wei-Chi Wei, Chia-Chin Tsoo: Beaded Realization of Canonical P, D, and G Triply Periodic Minimal Surfaces. Pages 503–506
  • Frank Gould and S. Louise Gould: Exploring the Projective Plane via Variations on the Faceted Octahedron. Pages 507–508
  • Kyongil Yoon: Analytical Calculation of Geodesic Lengths and Angle Measures on Sphere Tiling of Platonic and Archimedean Solids. Pages 509–512
  • Kimberly Rausch: The Mathematics behind Anamorphic Art. Pages 513–514
  • Heather Pinson and Monica VanDieren: The Creative Process: Risk-taking in an Interdisciplinary Honors Course. Pages 515–518
  • M. G. Marques and M. Pires: Training Teachers after Bridges. Pages 519–522
  • Daniel Whalen: A Topology-Preserving Voxelization Shrinking Algorithm. Pages 523–524
  • Curtis Palmer: Spelunking Adventure III: Close-Pack and Space-Fill Octahedral Domains. Pages 525–526
  • Robert Hanson: Tiling and Weaving with Permutation Functions. Pages 527–528
  • Karl Schaffer: Mathematics and the Ballet Barre. Pages 529–532
  • Samuel Verbiese: Amazing Labyrinths, Further Developments III. Pages 533–534
  • Laura M. Shea: The Seven Principles of Angle Stitching---A Geometrically Based Beading Technique. Pages 535–538
  • Darrah Chavey: Depression Glass and Nested Symmetry Groups. Pages 539–542
  • Maryam Rahnemoonfar and Afshin Asefpour Vakilian: A Novel Geometric Pattern Extraction by Means of a Level-Set Method. Pages 543–544
  • Paul Hildebrandt and Clark Richert: Domes, Zomes, and Drop City. Pages 545–548
  • Robert P. Schneider: A Non-Pythagorean Musical Scale Based on Logarithms. Pages 549–552
  • Xiaoxi Tian: The Art and Mathematics of Tangrams. Pages 553–556
  • Merrill Lessley and Paul Beale: Projecting Mathematical Curves with Laser Light. Pages 557–560
  • Jean Constant: Digital Sangaku. Pages 561–562
  • Carolyn Yackel: Teaching Temari: Geometrically Embroidered Spheres in the Classroom. Pages 563–566
  • Ellie Baker and Susan Goldstine: Bead Crochet Bracelets: What Would Escher Do? Pages 567–572
  • Nils Kr. Rossing: Mathematical Synthesis and Making of Rope Mats and Rosettes. Pages 573–574
  • James Mallos: Evolve Your Own Basket. Pages 575–580
  • Mary Kay Kirchner and Reza Sarhangi: Using Technology to Explore the Geometry of Navajo Weavings. Pages 581–588
  • Ellen Gergely, Kerry Mitchell, Martin Wesolowski: Space-filling Curves as Design Elements. Pages 589–592
  • Jay Bonner: Creating Non-Systematic Islamic Geometric Patterns with Complex Combinations of Star Forms. Pages 593–598
  • Joseph D. Clinton: Let's Make a (36)D (36)L Chiral Tessellation Dance. Pages 599–606
  • Tom Verhoeff: Combinatorial Choreography. Pages 607–612
  • Andrea Hawksley: Exploring Braids through Dance: The ``Waves of Tory Problem. Pages 613–618
  • Karl Schaffer: Math and Dance---Windmills and Tilings and Things. Pages 619–622
  • Diana Cheng, Tanya Berezovski, Cherie Farrington: Mathematical Eyes on Figure Skating. Pages 623–626
  • JoAnne Growney: Poetry-with-Mathematics Workshop. Pages 627–628
  • Ana Pereira do Vale: Musical Composition Without Standard Musical Knowledge. Pages 629–636
  • Luke Wolcott and Elizabeth McTernan: Imagining Negative-Dimensional Space. Pages 637–642
  • Ho-Gul Park and Taeyoung Choi: A Workshop on Making Modified Truncated Icosahedra Using 4D Frame. Pages 643–646


Links

Full Text

http://archive.bridgesmathart.org/2012/index.html

intern file

Sonstige Links

http://bridgesmathart.org/past-conferences/bridges-2012/

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