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Rem Sarhangi: Bridges 2002, Mathematics, Music, Art, Architecture, Culture. 5th Annual Bridges Conference, Towson University, Maryland, 2002. ISBN 0-9665201-4-9.



Extended Abstract



Table of contents

  • Terry B. Ewell: Set Operations in the Music of Nikolai Roslavets. Pages 17–24
  • John Sharp: A Transformation Sketchbook. Pages 25–36
  • Carlo H. Séquin: 3D Visualization Model of the Regular Polytopes in Four and Higher Dimensions. Pages 37–48
  • Lars Erickson: The Pi Symphony: Numeric Sequences in Music. Pages 49–53
  • Javier Barrallo and Radmila Sazdanovic: Computer Sculpture: A Journey through Mathematics - Abstract. Pages 54–54
  • Bob Brill: The Endless Wave. Pages 55–66
  • Carol Bier: Geometric Patterns and the Interpretation of Meaning: Two Monuments in Iran. Pages 67–78
  • Gar Bethel: Two Poems. Pages 79–81
  • Marina Korsakova-Kreyn: Time-Space of Music - Abstract. Pages 82–82
  • Brian Hansen and Cheri Shakiban: Exploring Fractal Geometry in Music. Pages 83–90
  • Haiduke Sarafian: Electrostatic Kaleidoscope. Pages 91–98
  • Janet Parke: Layering Fractal Elements to Create Works of Art. Pages 99–108
  • William C. Bodenhamer: Spatial Constructs. Pages 109–115
  • Bahman Kalantari: An Introduction to Polynomiography - Abstract. Pages 116–116
  • Douglas D. Peden: Gridfield Geometry. Pages 117–122
  • Julian L. Hook: Hearing With Our Eyes: The Geometry of Tonal Space. Pages 123–134
  • Stephen I. Gendler and James Robert Rose: Art in Perspective: A Making Connections Cluster at Clarion University. Pages 135–142
  • Mary C. Williams and John Sharp: A Collaborative Parabolic Quilt. Pages 143–149
  • Ralph Czerwinski: A Course: Mathematics and the Visual Arts - Abstract. Pages 150–150
  • Hana M. Bizek: Vasarely Design and Other Non-Cubical Designs. Pages 151–156
  • Godfried Toussaint: A Mathematical Analysis of African, Brazilian, and Cuban Clave Rhythms. Pages 157–168
  • Ronald R. Brown: The Knight's Tour Problem as a Conceptual Tool for Interdisciplinary Studies. Pages 169–180
  • Jane K. Bates: Fractions in Art and Mathematics. Pages 181–188
  • Paul Gailiunas: Transforming Some Infinite Polyhedra. Pages 189–195
  • Franz Gnaedinger: Poseidon from Cape Artemision - Abstract. Pages 196–196
  • Douglas Dunham: 168 Butterflies on a Polyhedron of Genus 3. Pages 197–204
  • Eva Knoll and Simon Morgan: Preliminary Field Explorations in K-6 Math-Ed: The Giant Triangles as Classroom Manipulatives. Pages 205–212
  • Magdy Ibrahim and Robert J. Krawczyk: Exploring the Effect of Direction on Vector-Based Fractals. Pages 213–219
  • Samuel S. Kutler: Choosing Diagrams for the Book of Beautiful Mathematical Diagrams - Abstract. Pages 220–220
  • Jay Kappraff: Anne Bulckens' Analysis of the Proportions of the Parthenon and its Meanings. Pages 221–226
  • W. Douglas Maurer: A Musical Suite Based on the Platonic Solids. Pages 227–233
  • Iftikhar Husain: Exploring Algebra with Creative Designs - Abstract. Pages 234–234
  • Benjamin Wells: The Rootsellers - Retelling the Galois Group of Quartic Polynomial. Pages 235–246
  • Julianne M. Labbiento: Mathematics for Those Who Hate Mathematics. Pages 247–255
  • Kaz Maslanka: Sentences on the Aesthetics of Mathematics and Art - Abstract. Pages 256–256
  • Eva Knoll: From a Subdivided Tetrahedron to the Dodecahedron: Exploring Regular Colorings. Pages 257–261
  • Virginia Usnick and Marilyn Sue Ford: Connecting Mathematics and the Arts in the Elementary Classroom through Movement - Abstract. Pages 262–262
  • Eric S. Egge and Steven Gimbel: How a Math Class Can Be Two Places at Once: A Proposed Mathematical/Philosophical Collaboration. Pages 263–268
  • Alexey Stakhov and Anna Sluchenkova: A Museum Dedicated to the Concept of Harmony and the Golden Section. Pages 269–276
  • L. Kerry Mitchell: Techniques for Artistically Rendering Space-Filling Curves. Pages 277–283
  • Jack Douthett and Richard Krantz: Pure-Tone Approximation to Equal-Temperament: How Close is Close? - Abstract. Pages 284–284
  • Stephen Eberhart: A Mathematical Look at the 7 Liberal Arts as Humanities. Pages 285–292
  • Jiashi Hou: Tonal Optimization in Music Playing. Pages 293–300
  • Daniel F. Daniel: Beautiful Mind - Elegant Bridge. Pages 301–304
  • Robert W. Fathauer: Graphical Fractals Based on Circles - Abstract. Pages 305–305
  • Craig S. Kaplan: Theory and Application of Islamic Star Patterns - Abstract. Pages 306–306
  • Leonard Shlain: Art and Physics: Parallel Visions in Space, Time and Light - Abstract. Pages 307–307
  • Junichi Yananose: How to Make the Juno's Spinner - Abstract. Pages 308–308
  • Clifford Singer: Towards a Geometrical Way of Thinking - Abstract. Pages 309–310
  • Lebbeus Woods: Heterarchy of Space - Abstract. Pages 311–311
  • Saeed Ghahramani: Kindred Spirits: Hafez in His Poetry, Mathematicians in Their Theories - Abstract. Pages 312–312
  • Michael Leyton: Theory of Design - Abstract. Pages 313–313
  • Stephen Eberhart: On the Shapes of Water Fountains and Times Tables - Abstract. Pages 314–314
  • Manuel A. Báez: Experimental Morphology: The Generative Dynamics of Form and Structure. Pages 315–318
  • Akio Hizume: Real Kecak Systems - Abstract. Pages 319–319
  • Vladimir Bulatov: About Enumeration of Isogonal Polyhedral Families - Abstract. Pages 320–320


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