2012

123 analyzed Bridges papers.

• A 7-Fold System for Creating Islamic Geometric Patterns Part 1: Historical Antecedents — Jay Bonner; Marc Pelletier
• A 7-Fold System for Creating Islamic Geometric Patterns Part 2: Contemporary Expression — Marc Pelletier; Jay Bonner
• A Mathematica GUI for Generating Conway Tiles — Bruce Torrence
• A Non-Pythagorean Musical Scale Based on Logarithms — Robert P. Schneider
• A Novel Geometric Pattern Extraction by Means of a Level-Set Method — Maryam Rahnemoonfar; Afshin Asefpour Vakilian
• A Topology-Preserving Voxelization Shrinking Algorithm — Daniel Whalen
• A Workshop on Making Modified Truncated Icosahedra Using 4D Frame — Park, Ho-Gul; Taeyoung Choi
• Amazing Labyrinths, Further Developments III — Samuel Verbiese
• An Algorithm for Creating Geometric Dissection Puzzles — Yahan Zhou; Rui Wang
• Analytical Calculation of Geodesic Lengths and Angle Measures on Sphere Tiling of Platonic and Archimedean Solids — Kyongil Yoon
• Architecture, Form, Expression. The Helicoidal Skyscrapers’ Geometry — Alessandra Capanna; Mauro Francaviglia; Marcella G. Lorenzi
• Art of the Quantum Moment — Robert P. Crease; Alfred S. Goldhaber
• Art of π: Mathematical History and Literary Inspiration — Dr Tatiana Bonch-Osmolovskaya
• Balanço: The Contour of Relative Offbeatness — Mehmet Vurkaç
• Bead Crochet Bracelets: What Would Escher Do? — Ellie Baker; Susan Goldstine
• Beaded Realization of Canonical P, D, and G Triply Periodic Minimal Surfaces — Chern Chuang; Bih-Yaw Jin; Wei-Chi Wei; Chia-Chin Tsoo
• Brand Values and the Perception of Symmetry — J.L. Marsden; B.G. Thomas
• Bringing M.C. Escher’s Planaria to Life — George Hart
• Broadening the Palette for Bobbin Lace: A Combinatorial Approach — Veronika Irvine
• Building the Schwarz D-Surface from Paper Tiles — Stephen Luecking
• Celebrating Mathematics in Stone and Bronze: Umbilic Torus NC vs SC — Helaman Ferguson; Claire Ferguson
• Circle patterns in Gothic architecture — Tiffany C. Inglis; Craig S. Kaplan
• Combinatorial Choreography — Tom Verhoeff
• Commissioning a Bridge — Brent Collins
• Creating Non-Systematic Islamic Geometric Patterns With Complex Combinations of Star Forms — Jay Bonner
• Crystallizing Topology in Molecular Visualizations — T. Hunter; K. Marinelli; D. Marsh; T. J. Peters
• Depression Glass and Nested Symmetry Groups — Darrah Chavey
• Developing Mathematical Tools to Investigate Art — Ingrid Daubechies
• Digital Sangaku — Jean Constant
• Diptych View on The Spiral — Françoise Beck-Pieterhons; Jacques Beck
• Domes, Zomes, and Drop City — Paul Hildebrandt; Clark Richert
• Dune Surfaces: A Spatial Visualization Technique for Medial Axes in the Plane or on the Sphere — Peter Calvache
• Escher Unraveled: Using Artwork to Investigate Transformations — Ming Tomayko; Sandy Spitzer; Linda Cooper
• Evolve Your Own Basket — James Mallos
• Exploring Braids through Dance: The “Waves of Tory” Problem — Andrea Hawksley
• Exploring the Projective Plane via Variations on the Faceted Octahedron — Frank Gould; S. Louise Gould
• Exploring the Visualization of Music — Robert J. Krawczyk
• Extension of Neo-Riemannian PLR-group to Seventh Chords — Boris Kerkez
• Fisheye View of Tessellations — Radmila Sazdanovic
• Fractal Geometry and Persian Carpet — seyed Mahmood Moeini; Mehrdad Garousi
• From Möbius Bands to Klein-Knottles — Carlo H. Séquin
• From Two Dimensions to Four – and Back Again — Susan McBurney
• Fun with Chaotic Orbits in the Mandelbrot Set — Kerry Mitchell
• Generating Chinese Knots from Arbitrary Shapes — Andrew Lee; Brandon M. Wang
• Geometry and Art with a Circle Cutter — Roberta La Haye
• Geometry and Computation of Houndstooth (Pied-de-poule) — Loe M.G. Feijs
• Guernica — Javier Barrallo; Santiago Sánchez-Beitia
• Harmonic Perspective — CJ Fearnley; Jeannie Moberly
• Hierarchical Organization in Writing, Poetry and Mathematics — Russell Jay Hendel
• Images and Illusions from Orthogonal Pairs of Ellipses — Hartmut F. W. Höft
• Imagining Negative-Dimensional Space — Luke Wolcott; Elizabeth McTernan
• Intersecting Helices — Paul Gailiunas
• Introducing the use of the Primary Isosceles Triangles of Regular Polygons to Produce Self Similar Patterns — Stanley Spencer
• Juan Gris’ Compositional Symmetry Transformations — James Mai
• Knots as Processes in Art and Mathematics — Bojana Ginn
• [[papers/2012/bridges2012-599|Let’s Make a $(3^6{)}_{\mathrm{D}}$ $(3^6{)}_{\mathrm{L}}$ Chiral Tessellation Dance]] — Joseph D. Clinton
• Math and Dance – Windmills and Tilings and Things — Karl Schaffer
• Math in Poetry: Half of a Course — Marion Deutsche Cohen
• Mathematical Eyes on Figure Skating — Diana Cheng; Tanya Berezovski; Cherie Farrington
• Mathematical Pattern Poetry — Sarah Glaz
• Mathematical Sequential Art — Susan Happersett
• Mathematical Synthesis and Making of Rope Mats and Rosettes — Nils Kr. Rossing
• Mathematics and the Ballet Barre — Karl Schaffer
• Mathematics in the World of Dance — Katarzyna Wasilewska
• Meta-Vermeer: A Topological Reinterpretation of a Masterpiece — Silvia De Toffoli; Yasuhiro Sakamoto
• Mitered Fractal Trees: Constructions and Properties — Tom Verhoeff; Koos Verhoeff
• Models of Stellations of the Icosahedron — Eve Torrence
• Mohr or Mascheroni? — Elaine Krajenke Ellison
• Moorish Fretwork Revisited — Paul Tucker
• Music Synthesis Based on Nonlinear Dynamics — Maximos A. Kaliakatsos–Papakostas; Andreas Floros; Michael N. Vrahatis
• Musical Composition Without Standard Musical Knowledge — Ana Pereira do Vale
• My Parade of Algorithmic Mathematical Art — Greg N. Frederickson
• Never-ending Storytelling with Discrete-Time Markov Processes — Yutu Liu; Ergun Akleman; Jianer Chen
• On the Geometry of Metafiction — Manil Suri
• Optical Minimal Art — Hans Kuiper
• Patterned Triply Periodic Polyhedra — Douglas Dunham
• Playing with the Platonics: a new class of polyhedra — Walt van Ballegooijen
• Poetry-with-Mathematics Workshop — JoAnne Growney
• Point Symmetry Patterns on a Regular Hexagonal Tessellation — David A. Reimann
• Polyhedra on an equilateral hyperboloid — Dirk Huylebrouck
• Polyhedral Modularity in a Special Class of Decagram Based Interlocking Star Polygons — Reza Sarhangi
• Portraits of Groups in Three Dimensions — Jay Zimmerman; Kevin Zimmerman
• Projecting Mathematical Curves with Laser Light — Merrill Lessley; Paul Beale
• Rotate, Reflect, Recycle — Karl Kattchee
• Sacred Numbers and Tessellations in Aquileia’s XI Century Mosaics — Marcella Giulia Lorenzi; Mauro Francaviglia
• Science, Art, Beauty, the Meaning of Life, and the James Webb Space Telescope — John C. Mather
• Sculpture Inspired by Connectivity in Nature — William F. Duffy
• [[papers/2012/bridges2012-103|Sculptures in $S^3$]] — Saul Schleimer; Henry Segerman
• Significance of Pointed Domes: Morphology, Typologies, and Geometrical Design — Maryam Ashkan
• Simple Rules for Incorporating Design Art into Penrose and Fractal Tiles — San Le
• Sinuous Meander Patterns in Natural Coordinates — David Chappell
• Space-Filling Curves as Design Elements — Ellen Gergely; Kerry Mitchell; Martin Wesolowski
• Spelunking Adventure III: Close-Pack and Space-Fill Octahedral Domains — Curtis Palmer
• Splitting Tilings — Rinus Roelofs
• Steps Towards the Analysis of Geometric Decorative Motifs Using Shape-matching Techniques — Alice Humphrey; Michael Hann
• Stigmmetry Prints from Patterns of Circles — Gary R. Greenfield
• Structural Qualities and Serial Construction of Tournament Braids — D. Jacob Wildstrom
• Symmetry and Bivariate Splines — Tatyana Sorokina
• Teaching Temari: Geometrically Embroidered Spheres in the Classroom — Carolyn Yackel
• The Art and Mathematics of Tangrams — Xiaoxi Tian
• The Color Symmetries of the Solstices: Ritual Sandals from the Prehistoric American Southwest — Dorothy K. Washburn; Donald W. Crowe
• The Creative Process: Risk-taking in an Interdisciplinary Honors Course — Heather Pinson; Monica VanDieren
• The Evolution of An Idea Inspired by 70 — Charlene Morrow
• The Experience Workshop MathArt Movement: Experience-centered Education of Mathematics through Arts, Sciences and Playful Activities — Kristóf Fenyvesi
• The Immersive Bridge Between Math and Art — John Miller
• The mathematical art of juggling: using mathematics to predict, describe and create — Mike Naylor
• The Mathematics behind Anamorphic Art — Kimberly Rausch
• The MathStudio Pendulum Project — Pau Atela
• The Mazzocchio in Perspective — Kenneth Brecher
• The Old Art of Rope Work and Fourier Decomposition — Nils Kr. Rossing
• The Seven Principles of Angle Stitching — a Geometrically Based Beading Technique — Laura M. Shea
• The Topkapı Scroll’s Thirteen-Pointed Star Polygon Design — B. Lynn Bodner
• The “Golden Canon” of Book-Page Design: A Visual Presentation Using Geometer’s Sketchpad — Stanley M. Max
• Tiles and Patterns of a Field: From Byzantine Churches to User Interface Design — Asaf Degani; Ron Asherov; Peter J. Lu
• Tiling and Weaving with Permutation Functions — Robert Hanson
• To Trace a Creative Thought — Brian Evans
• Training Teachers after Bridges — M. G. Marques; M. Pires
• Tune and rhyme: Translation symmetry at work — Alice Major
• Twisted D-Forms: Design and Construction of D-Forms with Twisted Prismatic Handles with Developable Sides — Qing Xing; Gabriel Esquivel; Ergun Akleman
• Two-color Fractal Tilings — Robert W. Fathauer
• Using Star Polygons to Understand Cyclic Group Structure — Sandy Spitzer
• Using Technology to Explore the Geometry of Navajo Weavings — Mary Kay Kirchner; Reza Sarhangi
• Weaving Symmetry of the Philippine Northern Kankana-ey — Nathaniel A. Baylas IV; Teofina A. Rapanut; Ma. Louise Antonette N. De las Peñas