Bridges 2012 Regular Papers

Science, Art, Beauty, the Meaning of Life, and the James Webb Telescope
John Mather
(Proceedings pages 1–8)

Developing Mathematical Tools to Investigate Art
Ingrid Daubechies
(Proceedings pages 9–16)

Celebrating Mathematics in Stone and Bronze: Umbilic Torus NC vs SC
Helaman Ferguson and Claire Ferguson
(Proceedings pages 17–24)

Mitered Fractal Trees: Constructions and Properties
Tom Verhoeff and Koos Verhoeff
(Proceedings pages 25–32)

The Mathematical Art of Juggling: Using Mathematics to Predict, Describe and Create
Mike Naylor
(Proceedings pages 33–40)

My Parade of Algorithmic Mathematical Art
Greg N. Frederickson
(Proceedings pages 41–48)

An Algorithm for Creating Geometric Dissection Puzzles
Yahan Zhou and Rui Wang
(Proceedings pages 49–56)

Bringing M. C. Escher's Planaria to Life
George Hart
(Proceedings pages 57–64)

Mathematical Pattern Poetry
Sarah Glaz
(Proceedings pages 65–72)

Math in Poetry: Half of a Course
Marion Deutsche Cohen
(Proceedings pages 73–78)

Art of π: Mathematical History and Literary Inspiration
Tatiana Bonch-Osmolovskaya
(Proceedings pages 79–84)

Never-ending Storytelling with Discrete-Time Markov Processes
Yutu Liu, Ergun Akleman, Jianer Chen
(Proceedings pages 85–92)

From Möbius Bands to Klein-Knottles
Carlo H. Séquin
(Proceedings pages 93–102)

Sculptures in S3
Saul Schleimer and Henry Segerman
(Proceedings pages 103–110)

Splitting Tilings
Rinus Roelofs
(Proceedings pages 111–118)

Playing with the Platonics: A New Class of Polyhedra
Walt van Ballegooijen
(Proceedings pages 119–124)

Sculpture Inspired by Connectivity in Nature
William F. Duffy
(Proceedings pages 125–132)

Circle patterns in Gothic Architecture
Tiffany C. Inglis and Craig S. Kaplan
(Proceedings pages 133–140)

A 7-Fold System for Creating Islamic Geometric Patterns Part 1: Historical Antecedents
Jay Bonner and Marc Pelletier
(Proceedings pages 141–148)

A 7-Fold System for Creating Islamic Geometric Patterns Part 2: Contemporary Expression
Marc Pelletier and Jay Bonner
(Proceedings pages 149–156)

The Topkapı Scroll's Thirteen-Pointed Star Polygon Design
B. Lynn Bodner
(Proceedings pages 157–164)

Polyhedral Modularity in a Special Class of Decagram Based Interlocking Star Polygons
Reza Sarhangi
(Proceedings pages 165–174)

Tiles and Patterns of a Field: From Byzantine Churches to User Interface Design
Asaf Degani, Ron Asherov, Peter J. Lu
(Proceedings pages 175–182)

Sinuous Meander Patterns in Natural Coordinates
David Chappell
(Proceedings pages 183–190)

Broadening the Palette for Bobbin Lace: A Combinatorial Approach
Veronika Irvine
(Proceedings pages 191–198)

Two-color Fractal Tilings
Robert W. Fathauer
(Proceedings pages 199–206)

Mohr or Mascheroni?
Elaine Krajenke Ellison
(Proceedings pages 207–214)

Javier Barrallo and Santiago Sánchez-Beitia
(Proceedings pages 215–222)

Moorish Fretwork Revisited
Paul Tucker
(Proceedings pages 223–230)

Polyhedra on an Equilateral Hyperboloid
Dirk Huylebrouck
(Proceedings pages 231–238)

The Experience Workshop MathArt Movement: Experience-centered Education of Mathematics through Arts, Sciences, and Playful Activities
Kristóf Fenyvesi
(Proceedings pages 239–246)

The Color Symmetries of the Solstices: Ritual Sandals from the Prehistoric American Southwest
Dorothy K. Washburn and Donald W. Crowe
(Proceedings pages 247–250)

Sacred Numbers and Tessellations in Aquileia's XI Century Mosaics
Marcella Giulia Lorenzi and Mauro Francaviglia
(Proceedings pages 251–258)

Simple Rules for Incorporating Design Art into Penrose and Fractal Tiles
San Le
(Proceedings pages 259–266)

Weaving Symmetry of the Philippine Northern Kankana-ey
Nathaniel A. Baylas IV, Teofina A. Rapanut, Ma. Louise Antonette N. De las Peñas
(Proceedings pages 267–274)

Patterned Triply Periodic Polyhedra
Douglas Dunham
(Proceedings pages 275–282)

Juan Gris' Compositional Symmetry Transformations
James Mai
(Proceedings pages 283–290)

Stigmmetry Prints from Patterns of Circles
Gary Greenfield
(Proceedings pages 291–298)

Geometry and Computation of Houndstooth (Pied-de-poule)
Loe M. G. Feijs
(Proceedings pages 299–306)

Art of the Quantum Moment
Robert P. Crease and Alfred S. Goldhaber
(Proceedings pages 307–314)

The Old Art of Rope Work and Fourier Decomposition
Nils Kr. Rossing
(Proceedings pages 315–322)

Twisted D-Forms: Design and Construction of D-Forms with Twisted Prismatic Handles with Developable Sides
Qing Xing, Gabriel Esquivel, Ergun Akleman
(Proceedings pages 323–328)

Balanço: The Contour of Relative Offbeatness
Mehmet Vurkaç
(Proceedings pages 329–336)

Introducing the Use of the Primary Isosceles Triangles of Regular Polygons to Produce Self Similar Patterns
Stanley Spencer
(Proceedings pages 337–344)

Commissioning a Bridge
Brent Collins
(Proceedings pages 345–348)

Architecture, Form, Expression: The Helicoidal Skyscraper's Geometry
Alessandra Capanna, Mauro Francaviglia, Marcella G. Lorenzi
(Proceedings pages 349–356)