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Reference

Kelly Delp, Craig S. Kaplan, Douglas McKenna,and Reza Sarhangi: Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture. Bridges Conference at the University of Baltimore. Tessellations Publishing, Phoenix, Arizona, 2015. ISBN 978-1-938664-15-1

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Abstract

Extended Abstract

Reviews

Bibtex

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Table of contents

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

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