Bridges 2008

Leeuwarden, the Netherlands
24–28 July 2008
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Front Matter
The Editors
Lessons in Duality and Symmetry from M.C. Escher
Doris Schattschneider
Pages 1–8
The Sculpture Manifold: A Band from a Surface, a Surface from a Band
Bernd Krauskopf, Hinke M. Osinga and and Benjamin Storch
Pages 9–14
Color Mixing using Colliding Particles
Gary R. Greenfield
Pages 15–20
Hankin’s ‘Polygons in Contact’ Grid Method for Recreating a Decagonal Star Polygon Design
B. Lynn Bodner
Pages 21–28
Connected Holes
Rinus Roelofs
Pages 29–38
Metamorphosis in Escher’s Art
Craig S. Kaplan
Pages 39–46
The Catenary: Art, Architecture, History, and Mathematics
Gail Kaplan
Pages 47–54
Mathematical Beauty in Architecture
Huib Koman, Stephan Luijks and and Arno Pronk
Pages 55–62
The Borromean Rings: A Video about the New IMU Logo
Charles Gunn and John M. Sullivan
Pages 63–70
Systematic Approaches to Color Interaction: Limited Palettes for Simultaneous Contrast Effects
James Mai
Pages 71–78
Building a Möbius Bracelet Using Safety Pins: A Problem of Modular Arithmetic and Staggered Positions
Eva Knoll
Pages 79–86
The Brachistochrone Problem between Euclidean and Hyperbolic
Robert Smits
Pages 87–92
Sculpting from the Inside Out “540 Hidden Split Torus”
Karel Vreeburg
Pages 93–100
Patterning by Projection:Tiling the Dodecahedron and other Solids
B.G. Thomas and M.A. Hann
Pages 101–108
Pull-up Patterned Polyhedra: Platonic Solids for the Classroom
E.B. Meenan and B.G. Thomas
Pages 109–116
From Sierpinski Triangle to Fractal Flowers
Anne M. Burns
Pages 117–122
Designing Symmetric Peano Curve Tiling Patterns with Escher-esque Foreground/Background Ambiguity
Douglas McKenna
Pages 123–130
Doyle Spiral Circle Packings Animated
Alan Sutcliffe
Pages 131–138
Intricate Isohedral Tilings of 3D Euclidean Space
Carlo H. Séquin
Pages 139–148
The Mathematics of the Channel Anamorphosis
James L. Hunt and John Sharp
Pages 149–154
A Sangaku Revived
Zsófia Ruttkay
Pages 155–162
Inpainting of Ancient Austrian Frescoes
Wolfgang Baatz, Massimo Fornasier, Peter A. Markowich and and Carola-Bibiane Schönlieb
Pages 163–170
A Computer Aided Geometric Model of a Ten-Plane Polyhedral Transformation
Robert McDermott and Will Hawkins
Pages 171–178
Neo-Riemannian Geometry
Rachel W. Hall
Pages 179–186
A Comparative Phylogenetic-Tree Analysis of African Timelines and North Indian Talas
Eric Thul and Godfried T. Toussaint
Pages 187–194
The Maths of Churches, Mosques, Synagogues and Temples
Jenny Gage
Pages 195–200
Interactive 3D Simulation of Escher-like Impossible Worlds
E.M. Orbons and Zs. Ruttkay
Pages 201–208
Procedural Generation of Sculptural Forms
George W. Hart
Pages 209–218
Counting the Number of Site Swap Juggling Patterns with Respect to Particular Ceilings
Carl Bracken
Pages 219–224
The Mathematics of Mitering and its Artful Application
Tom Verhoeff and Koos Verhoeff
Pages 225–234
Connecting the Dots: The Ins and Outs of TSP Art
Robert Bosch
Pages 235–242
Manipulating Images with Fractal Julia Sets
Stanley Spencer
Pages 243–250
Making Patterns on the Surfaces of Swing-Hinged Dissections
Reza Sarhangi
Pages 251–258
Edge-Based Intersected Polyhedral Paper Sculptures Constructed by Interlocking Slitted Planar Pieces
Jace Miller and Ergun Akleman
Pages 259–264
Diffusion Processes and Light Installations: Mathematics, Visualisation, and Perception
Mike Kostner, Arjan Kuijper and and Franz Schubert
Pages 265–272
Interactive Demonstrations with Mathematica 6
Sándor Kabai
Pages 273–280
A Closer Look at Jamnitzer's Polyhedra
Albert van den Broeke and Zsófia Ruttkay
Pages 281–288
A Fractal Crystal Comprised of Cubes and Some Related Fractal Arrangements of other Platonic Solids
Robert W. Fathauer, Hank Kaczmarski and and Nicholas Duchnowski
Pages 289–296
Medieval Islamic Architecture, Quasicrystals, and Penrose and Girih Tiles: Questions from the Classroom
Raymond Tennant
Pages 297–304
Recursion, Symmetry & Tessellation with Software based Video Feedback Systems
Paul Prudence
Pages 305–310
Coxeter Groups in Colored Tilings and Patterns
Glenn R. Laigo, Ia Kristine D. Puzon and and Ma. Louise Antonette N. De Las Peñas
Pages 311–318
Porter’s Golden Section, Experimentally
Chris Bartlett and D Huylebrouck
Pages 319–326
Perspective Drawings of Lattices
Chaim Goodman-Strauss and Hop David
Pages 327–332
Some Interesting Observations Regarding the Spidrons
Dániel Erdély and Walt van Ballegooijen
Pages 333–340
A “Circle Limit III” Backbone Arc Formula
Douglas Dunham and Luns Tee
Pages 341–346
Connecting Mathematics and the Arts through the Magic of Escher for Elementary School Students
Marilyn Sue Ford and Sarae Gold
Pages 347–352
Module-Based Sculptural Constructions
Roland de Jong Orlando
Pages 353–362
Painting the Total Picture
Dick Termes
Pages 363–368
Cosmati Pavements: The Art of Geometry
Tristram de Piro
Pages 369–376
Teaching Group Theory Using Portraits of Groups
Jay Zimmerman
Pages 377–380
Four Bar Linkages
Paul Gailiunas
Pages 381–384
The Tangramoid: Recent Developments
Samuel Verbiese
Pages 385–388
TENSEGRITIES: Design, Analysis and Constructing
Jan W. Marcus
Pages 389–392
Pattern by Design – Not by Chance
M.A. Hann and B.G. Thomas
Pages 393–396
Using Binary Numbers in Music
Vi Hart
Pages 397–400
Image Stitching: From Mathematics to Arts
Franz Schubert, Arjan Kuijper and and Mike Kostner
Pages 401–404
Can Geometry Create Art?
András Bezdek
Pages 405–408
Masterpiece: Interactive Evolution in Visual Domain
Artemis Moroni, Rafael Bocaletto Maiolla and and Jônatas Manzolli
Pages 409–412
The Art of Equations
Lin Hsin Hsin
Pages 413–416
Mathematical Secrets of Seven
Susan McBurney
Pages 417–420
Koert Feenstra
Pages 421–424
A Geometric Model Applied To Urban Order
Cristina Argumedo and Mª Francisca Blanco Dora Giordano and Miriam Pisonero
Pages 425–428
Mathematics in Rangolee Art from India
Madhuri Bapat
Pages 429–432
Polyhedra with Equilateral Heptagons
Marcel Tünnissen
Pages 433–436
Triblock Origami Spheroid Workshops
Keh-Ming Lu, Alan S Tsaur and and Feng-Tse Chuang
Pages 437–440
Mathematical Eyes on Intercultural Communication Processes
Mara Alagic and Glyn Rimmington
Pages 441–444
Ternary Codes in Psychology, Culture, and Art: Information Roots
Vladimir Petrov and Lidia Mazhul
Pages 445–448
Artistic ideas regarding ‘Print Gallery’ by M.C. Escher
André Génard
Pages 449–452
A Guide to Creating Escher-like Bird Motif Tessellations
David R. M. Bailey
Pages 453–456
Using D-Forms to Create a Calder Type Mobile
Eva Knoll, John Sharp and and Roger Tobie
Pages 457–458
Some Regular Toroids
Lajos Szilassi
Pages 459–460
Juno's Spinner Truncated Icosahedron
Junichi Yananose
Pages 461–462
Mathematics and Arts: Finding the Horizon of Understanding for Arts Students
Hartmut F. W. Höft and Joanne Caniglia
Pages 463–464
Visualization of Rhyme Patterns in Two Sonnet Sequences
Laura J. George and Hartmut F. W. Höft
Pages 465–466
Create a Mathematical Banner Using the Lute, the Sacred Cut, and the Spidron
Elaine Krajenke Ellison
Pages 467–468
Hammam: Bath House, an Ancient Heritage in Iran
Hourieh Mashayekh and Hayedeh Mashayekh
Pages 469–470
Shape and Transformations
Marcela Carolina Franco
Pages 471–472
Imaging, Mathematics, and Art
Arjan Kuijper and Helma Kuijper
Pages 473–474
SUDOKU Puzzle Generates a Minimal Art Sculpture
Hans Kuiper
Pages 475–476
Aesthetic Beauty of Rotation
Ergun Akleman and Vinod Srinivasan
Pages 477–478
The Speed of Mathematics
Javier Barrallo
Pages 479–480
The Hidden Art in a Dynamic Geometry Software Program
Evan G. Evans and Reza Sarhangi
Pages 481–482
Projecting Mathematical Curves with Laser Light: A Tribute to Ptolemy
Merrill Lessley and Paul Beale
Pages 483–484
Fibonacci Tornado: Phylotaxy Spirals consisting of all Similar Triangles
Akio Hizume
Pages 485–486
Three Musical Geometries
Dmitri Tymoczko
Pages 487–488
Spatial Anisotropy in Aesthetic Impression of Simple Color Arrangement Patterns
Toshihiro Bando
Pages 489–490