cover

Bridges 2015

Baltimore, Maryland, USA
29 July–1 August 2015
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Front Matter
The Editors
Folding Pseudo-Stars that are Cyclicly Hinged
Greg N. Frederickson
Pages 1–8
The Concept of Elevation applied to Flat Tiling Patterns
Rinus Roelofs
Pages 9–16
2-Manifold Sculptures
Carlo H. Séquin
Pages 17–26
The Geometric Studies of Some Mosaic Design Compositions and Puzzles Presented in a Historical Treatise
Reza Sarhangi
Pages 27–36
Can Human Assistance Improve a Computational Poet?
Carolyn E. Lamb, Daniel G. Brown and Charles L.A. Clarke
Pages 37–44
Curved Islamic Star Patterns of Medieval Egypt and Syria
B. Lynn Bodner
Pages 45–52
Three Families of Mitered Borromean Ring Sculptures
Tom Verhoeff and Koos Verhoeff
Pages 53–60
Modular Origami Halftoning: Theme and Variations
Zhifu Xiao, Robert Bosch, Craig S. Kaplan and Robert J. Lang
Pages 61–68
Permutations of the Octagon: An Aesthetic-Mathematical Dialectic
James Mai
Pages 69–76
Laser-Cut Plywood and Cable-Tie Sculptures
George Hart
Pages 77–84
Double Strip Patterns: Between Strip Patterns and Wallpaper Patterns
Darrah Chavey, Monica Menzies Meissen, Todd O'Bryan and Glenn Terry
Pages 85–92
A Divine Error
Dirk Huylebrouck
Pages 93–98
Highly Unlikely Triangles and Other Impossible Figures in Bead Weaving
Gwen L. Fisher
Pages 99–106
Real-World Tessellations
Robert W. Fathauer
Pages 107–112
The Platonic Solids: a Three-Dimensional Textbook
Martin Levin
Pages 113–120
Figurative Tours and Braids
Robert Bosch and Tom Wexler
Pages 121–128
A Theoretical Framework to Represent Narrative Structures for Visual Storytelling
Ergun Akleman, Stefano Franchi, Devkan Kaleci, Laura Mandell, Takashi Yamauchi and Derya Akleman
Pages 129–136
Math Bugs
Mike Naylor
Pages 137–142
Nonplanar expansions of polyhedral edges in Platonic and Archimedean solids
David A. Reimann
Pages 143–150
Soccer Ball Symmetry
David Swart
Pages 151–158
The Golden Spiral: The Genesis of a Misunderstanding
Paul Gailiunas
Pages 159–166
Nested polytopes with non-crystallographic symmetry induced by projection
Briony Thomas, Reidun Twarock, Motiejus Valiunas and Emilio Zappa
Pages 167–174
Fun with Whirls
Kerry Mitchell
Pages 175–182
Fractal Wallpaper Patterns
Douglas Dunham and John Shier
Pages 183–190
“In an Ocean of Ashes”: Order and Chaos in Mathematics and Literature
Katharine Ahrens
Pages 191–198
A Skeleton Key for the Platonic Solids
Karl Schaffer
Pages 199–206
3D-Dithered Ortho-Pictures: 3D Models from Independent 2D Images
Gershon Elber
Pages 207–214
Knotology Baskets and Topological Maps
James Mallos
Pages 215–222
A Novel Line Fractal Pied de Poule (Houndstooth)
Loe M.G. Feijs and Marina Toeters
Pages 223–230
Algorithmic Quilting
Christopher Carlson, Nina Paley and Theodore Gray
Pages 231–238
Integrating Origami Art with Mathematics in a College General Studies Course
Norma Boakes
Pages 239–246
Self-Avoiding Random Walks Yielding Labyrinths
Gary R. Greenfield
Pages 247–252
Yvon-Villarceau Circle Equivalents on Dupin Cyclides
Francesco De Comité
Pages 253–258
Galaxies Containing Infinite Worlds: Poetry from Finite Projective Planes
Daniel May and Courtney Huse Wika
Pages 259–266
From Stippling to Scribbling
Abdalla G. M. Ahmed
Pages 267–274
Magnetic Circle Packing in Creative Outreach and Refreshment
Robin Linhope Willson
Pages 275–282
Julia Randall's Poetic Finitude: Mapping the Infinite onto a Poem
Emily Grosholz
Pages 283–288
A View of Music
Ellen Gethner, Shannon Steinmetz and Joseph Verbeke
Pages 289–294
The Stomachion in Wonderland
Stanley Spencer
Pages 295–300
Ordinal-Contextual Dissimilarity for Analysis of Heros in Tragedies
Bahman Afsari, Katayun Mazdapour and Bruno Jedynak
Pages 301–308
Designing 2D Ordinary Differential Equations To Obtain Abstract Paintings, Illustrations and Animations
Ergun Akleman and Hüseyin Koçak
Pages 309–316
The Curious Creativity of John Horton Conway
Siobhan Roberts
Pages 317–322
The Musical Canon Inside Differential Equations
Donald Spector
Pages 323–330
Eight-Pointed Star and Precise Construction of 7x7 Square Grid
Dmitri Kozlov
Pages 331–334
Introducing the Möbius-Twisted Turk's Head Knot
Carlo H. Séquin and Lorenzo Larrucea
Pages 335–338
Exploring the Manifold of Image Patches
Yevgen Matviychuk and Shannon M. Hughes
Pages 339–342
Flowing, Organic Forms Using Adaptive Line-Drawing Agents
David Chappell
Pages 343–346
Chains of Antiprisms
Tom Verhoeff and Melle Stoel
Pages 347–350
Programmable Mathe-Musical Boxes
Rachel Wells Hall
Pages 351–354
Two-Frame Animations in Conway's Game of Life
Robert Bosch
Pages 355–358
Gallery Layout in Borges' Library of Babel
Jonathan K. Millen
Pages 359–362
Visualizing Rhyme Patterns in Sonnet Sequences
Hartmut F. W. Höft
Pages 363–366
A Pattern Tracing System for Generating Paper Sliceform Artwork
Yongquan Lu and Erik D. Demaine
Pages 367–370
The “ΦTOP”: A Golden Ellipsoid
Kenneth Brecher
Pages 371–374
The Geometric Structure of Scribal Variation among Manuscripts of Langland's Piers Plowman
Roger Bilisoly
Pages 375–378
Surfaces with Natural Ridges
David Brander and Steen Markvorsen
Pages 379–382
Unexpected Beauty Hidden in Radin-Conway's Pinwheel Tiling
Douglas G. Burkholder
Pages 383–386
Hypernom: Mapping VR Headset Orientation to S3
Vi Hart, Andrea Hawksley, Henry Segerman and Marc ten Bosch
Pages 387–390
Large, Symmetric, “7-Around” Hyperbolic Disks
Sean Jeng Liu, Young Kim, Raymond Shiau and Carlo H. Séquin
Pages 391–394
Katzengold: Pyrite, Plato, and a Polynomial
Stephan Klaus and Bianca Violet
Pages 395–398
Infinite Rhythmic Tiling Canons
Clifton Callender
Pages 399–402
A Concept Map for Book 1 of Euclid's Elements
Alexander Boxer and Justace Clutter
Pages 403–406
A Musical Scale Generated from the Ratio of Consecutive Primes
Reginald Bain
Pages 407–410
Geometric Visual Instruments Having Pinnate Forms
Shunsuke Akimoto and Akihiro Matsuura
Pages 411–414
Design Anamorphosis in the Math Class!
Kristóf Fenyvesi and Markus Hähkiöniemi
Pages 415–418
Cayley Cubic and the Visual Arts
Jean Constant
Pages 419–422
Fractal Tiling Illustrations of Geometric Series
Lorelei Koss
Pages 423–426
Nature as a Strategy for Pattern Formation in Art
Irene Rousseau
Pages 427–430
Monte Carlo Art Using Scratch
Patrick Honner
Pages 431–434
The Paradigm Poem
Kazmier Maslanka
Pages 435–438
Random Walks on Vertices of Archimedean Tilings
Vincent J. Matsko
Pages 439–442
Perspectives on Borges' Library of Babel
CJ Fearnley and Jeannie Moberly
Pages 443–446
Geometry in the Pocket
Mehrdad Garousi
Pages 447–450
From Mathematical Curves to Decorative Ornaments
Susan McBurney
Pages 451–454
Building Polyhedra from Polygons with Colored Edges
Ioana Browne and Mircea Draghicescu
Pages 455–458
Turing Patterns in Photoshop
Andrew Werth
Pages 459–462
Inspire Math-Girls-Women (perhaps with poems)
Jo Anne Growney
Pages 463–466
Emergent Orange
Jim Bumgardner
Pages 467–470
Expandohedra: Modeling Structural Transitions of a Viral Capsid
Adam Arstall, Briony Thomas, Reidun Twarock and Emilio Zappa
Pages 471–474
An Exhibition of Exponential Sums: Visualizing Supercharacters
Paula Burkhardt, Gabriel Currier, Stephan Ramon Garcia, Mathieu de Langis, Bob Lutz and Hong Suh
Pages 475–478
A New Way to See Inside Black Holes
Richard Conn Henry, James Overduin and Kielan Wilcomb
Pages 479–482
Algorithms for Morphing Escher-Like Tessellations
Kevin Lee
Pages 483–486
Theory of Intersection
Karl Kattchee
Pages 487–490
Schematic Drawings of the Polychora
Taneli Luotoniemi
Pages 491–494
A Successful Belgian Art & Math Exhibition with Workshops
Gisèle De Meur and Samuel Verbiese
Pages 495–498
Bridges Exhibits as Incentives to Collaborative Artworks
Anusch Bayens, Carlo De Pauw, Carmen Geens, Seniz Karaman, Mark Pieters, André Thomas, Alex Van Bogaert, Samuel Verbiese, Rudi Willaert and Nico Willemsens
Pages 499–502
Linguistic Oddities: An Artist Explorer at Mathematics Conferences
Katie McCallum
Pages 503–506
3D Lenticular Imaging for Art
Yitzhak Weissman
Pages 507–510
The Shapes of Our Souls and Other Student Concerns: Poems about the Course “Mathematics in Literature”
Marion Deutsche Cohen
Pages 511–514
Into the Shadows: Approximating Images by Orthogonal Projection
Kelly Delp and Sam Lloyd
Pages 515–518
Exploring Ratios and Sequences with Mathematically Layered Beverages
Andrea Johanna Hawksley
Pages 519–524
Math-Infused Art Lessons, Art-Infused Math Lessons
Rachelle Guernsey
Pages 525–532
The Aesthetics of Scale: Weaving Mathematical Understandings
Eva Knoll, Wendy Landry, Tara Taylor, Paul Carreiro and Susan Gerofsky
Pages 533–540
The Shape Snacker: a Bite of Origami and Math
Alan Russell
Pages 541–548
Lissajus Curves: an Experiment in Creative Coding
Lali Barrière
Pages 549–554
Square Seeds and Round Paths: Exploring Patterns within the Art of Classical Labyrinths
David Thompson and Diana Cheng
Pages 555–558
Thinking like a Pianist/Mathematician/Potter-Designer: Strategies for Tuning Ocarinas
Elizabeth Paley
Pages 559–562
Use of RangoLee Art in Elementary Mathematics Education
Madhuri Bapat
Pages 563–566
A Workshop Using the Log Cabin Quilt For Teaching Math Concepts and Patterns
Cristina Padlan Packard
Pages 567–570
Composing Mathematical Poetry
Carol Dorf
Pages 571–572
Mathematics Through the Lens of a Kaleidoscope: A Student Centered Approach to Building Bridges between Mathematics and Art
Gail Kaplan, Rachael Gross and Kim McComas
Pages 573–580
Hearing Math and Seeing Music: a Workshop on Pitch Perception and Temperament
Evelyn Lamb
Pages 581–584
Unit Origami: Star-Building on Deltahedra
Heidi Burgiel
Pages 585–588
Connecting with the Sierpinski Tetrahedron
Alice Petillo
Pages 589–592