Bridges 2016

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Reference

Eve Torrence, Bruce Torrence, Carlo H. Séquin, Douglas McKenna, Kristóf Fenyvesi, and Reza Sarhangi (eds.): Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Culture. Bridges Conference at the University of University of Jyväskylä, Jyväskylä, Finland. Tessellations Publishing, Phoenix, Arizona, 2016. ISBN 978-1-938664-19-9

DOI

Abstract

Extended Abstract

Reviews

Bibtex

@proceedings{bridges2016:1,
 editor      = {Eve Torrence, Bruce Torrence, Carlo H. Séquin, Douglas McKenna, Kristóf Fenyvesi, and Reza Sarhangi},
 booktitle   = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Culture},
 year        = {2016},
 isbn        = {978-1-938664-19-9},
 issn        = {1099-6702},
 publisher   = {Tessellations Publishing},
 address     = {Phoenix, Arizona},
 url         = {http://bridgesmathart.org/bridges-2016/, http://de.evo-art.org/index.php?title=Bridges_2016 }
}

Table of contents

  • The Editors: Front Matter
  • Kirsi Peltonen: Crystal Flowers in Halls of Mirrors: Mathematics Meets Art and Architecture. In: Bridges 2016, Pages 1–8.
  • Raine Koskimaa: World as Numbers: Living in an Algorithmic Culture. In: Bridges 2016, Pages 9–14.
  • Saul Schleimer and Henry Segerman: Squares that Look Round: Transforming Spherical Images. In: Bridges 2016, Pages 15–24.
  • Judy Holdener: Immersion in Mathematics. In: Bridges 2016, Pages 25–32.
  • Rinus Roelofs: The Elevation of Coxeter's Infinite Regular Polyhedron 444444. In: Bridges 2016, Pages 33–40.
  • Carlo H. Séquin: From Klein Bottles to Modular Super-Bottles. In: Bridges 2016, Pages 41–48.
  • Abdalla G. M. Ahmed and Oliver Deussen: Tuti Weaving. In: Bridges 2016, Pages 49–56.
  • Javier Barrallo Calonge and Luis Martín Yagüe: Fostering Creativity in the Teaching of Mathematics with Project Based Learning. In: Bridges 2016, Pages 57–64
  • Andrew Simoson: The Size and Shape of Utopia. In: Bridges 2016, Pages 65–70.
  • Craig S. Kaplan: Hypocycloid Juggling Patterns. In: Bridges 2016, Pages 71–78.
  • Mirka Havinga and Päivi Portaankorva-Koivisto: Visual Arts and Mathematics Education: Looking for Integrative Phenomena. In: Bridges 2016, Pages 79–86
  • Walt van Ballegooijen and Carlo H. Séquin: Interlinking Polyhedral Wire-Frames. In: Bridges 2016, Pages 87–96.
  • Markus Hähkiöniemi, Kristóf Fenyvesi, Johanna Pöysä-Tarhonen, Mirja Tarnanen, Päivi Häkkinen, Merja Kauppinen, Anne Martin and Pasi Nieminen: Mathematics Learning through Arts and Collaborative Problem-Solving: The Princess and the Diamond-Problem. In: Bridges 2016, Pages 97–104.
  • Tom Verhoeff and Koos Verhoeff: Three Mathematical Sculptures for the Mathematikon. Pages 105–110
  • Karl Kattchee and Craig S. Kaplan: Combinatorial Poppies. Pages 111–118.
  • Douglas M. McKenna: Tendril Motifs for Space-Filling, Half-Domino Curves. Pages 119–126.
  • Joshua Holden and Lana Holden: Modeling Braids, Cables, and Weaves with Stranded Cellular Automata. Pages 127–134.
  • Paul Gailiunas: Helical Petrie Polygons. Pages 135–140.
  • Reza Sarhangi: Some Girihs and Puzzles from the Interlocks of Similar or Complementary Figures Treatise. Pages 141–150.
  • Tuomas Nurmi: From Checkerboard to Cloverfield: Using Wang Tiles in Seamless Non-Periodic Patterns. Pages 159–166.
  • Ron Asherov: Underlying Tiles in a 15th Century Mamluk Pattern. Pages 167–172.
  • Zekeriya Karadag: Artefacts to Enhance Geometrical Thinking. Pages 173–178.
  • Chamberlain Fong: The Conformal Hyperbolic Square and Its Ilk. Pages 179–186.
  • Cornelie Leopold: Geometry and Aesthetics of Pentagonal Structures in the Art of Gerard Caris. Pages 187–194.
  • Carolyn Lamb, Dan G. Brown and Charlie L.A. Clarke: A Taxonomy of Generative Poetry Techniques. Pages 195–202.
  • S.J. Spencer: Not only Art but also Rocket Science. Pages 203–208.
  • Markus Rissanen: Hex Rosa. Pages 209–216.


Fractal Gaskets: Reptiles, Hamiltonian Cycles, and Spatial Development Robert W. Fathauer Pages 217–224 Shape-Changing Polyhedra Roger Burrows Pages 225–232 Planes and Frames: Spatial Layering in Josef Albers' Homage to the Square Paintings James Mai Pages 233–240 Portraits of Groups on Bordered Surfaces Jay Zimmerman Pages 241–246 Genera Esfera: Interacting with a Trackball Mapped onto a Sphere to Explore Generative Visual Worlds Lali Barrière and Anna Carreras Pages 247–254 Circular Forms in Aleksis Kivi's Texts Tiina Katriina Kukkonen Pages 255–262 Euler-Cayley Formula for ‘Unusual’ Polyhedra Dirk Huylebrouck Pages 263–268 Dancing Math: Teaching and Learning in the Intersection of Aesthetic and Mathematical Literacy Paul Moerman Pages 269–276 A Mathematical Approach to Obtain Isoperimetric Shapes for D-Form Construction Ramon Roel Orduño, Nicholas Winard, Steven Bierwagen, Dylan Shell, Negar Kalantar, Alireza Borhani and Ergun Akleman Pages 277–284 A Graph-Theoretic Approach to the Analysis of Contra Dances Matthew Thomas and Crystal Peebles Pages 285–292 Koch-Like Fractal Images Vincent J. Matsko Pages 293–300 A Study on Geometric Constructions on Brickwork Decorations in Iranian Architecture Mahsa Kharazmi Pages 301–308 The Rhythm of a Pattern Sama Mara Pages 309–316 The Analysis of the Geometric Decorations of the Stone Half-Columns of Friday Mosque of Isfahan Molude Noori and Qobad Kiyanmehr Pages 317–324 Another look at Pentagonal Persian Patterns Jean-Marc Castera Pages 325–330 Geometric Patterns as Material Things: The Making of Seljuk Patterns on Curved Surfaces Begüm Hamzaoğlu and Mine Özkar Pages 331–336 Colors and Incomputability Donald Spector Pages 337–344 Strictly Coding: Connecting Mathematics and Music through Digital Making Pam Burnard, Zsolt Lavicza and Carrie Anne Philbin Pages 345–350 A Bridges Center for Mathematical Connections in Art and Science Sujan Shrestha and Reza Sarhangi Pages 351–354 Constructing Meaning Through Making and Creating Gail Tang and Alan Tollefson Pages 355–358 Prime Portraits Zachary Abel Pages 359–362 Phylogenetic Analysis of the Ancient Greek Paeonic Rhythms Godfried T. Toussaint Pages 363–366 A New Algorithm for Rendering Kissing Schottky Groups Kento Nakamura and Kazushi Ahara Pages 367–370 Beautification of Islamic Patterns via Constraint Satisfaction Yongquan Lu and Erik D. Demaine Pages 371–374 Molecular Modeling of Four-Connected Zeolite Frameworks with Mathematical Beading Chia-Chin Tsoo and Bih-Yaw Jin Pages 375–378 Generalized Brunes Stars and System of Pythagorean Triples Dmitri Kozlov Pages 379–382 Knight Mazes Mike Naylor Pages 383–386 Mathematikon: A Mathematical Shopping Center Bianca Violet and Andreas Matt Pages 387–390 Lights Out Animations Robert Bosch Pages 391–394 A Recursion in Knitting Susan Goldstine Pages 395–398 Polyhedral Tableaux Kenneth Brecher Pages 399–402 Gödel, Escher, Bach: Just Another Braid Hans Kuiper and Walt van Ballegooijen Pages 403–406 A Musical Polyhedron Updated for the 21st Century Cathleen O'Neil Pages 407–410 Organic 3D Mesh Creation Through Particle-Based Physics Simulation Sage Jenson Pages 411–414 Pied de Pulse: Packing Embroidered Circles and Coil Actuators in Pied de Poule (Houndstooth) Loe Feijs and Marina Toeters Pages 415–418 Digital Mechanics and The Rolling Coin Clock Bjarne Jespersen Pages 419–422 Bridges as an Incentive to Collaborative Works II Anusch Bayens, Carlo De Pauw, Carmen Geens, Mark Pieters, André Thomas, Alex Van Bogaert, Samuel Verbiese and Nico Willemsens Pages 423–426 Representational Random Walks Max Grusky Pages 427–430 A Fast Algorithm for Creating Turing-McCabe Patterns Markus Schwehm Pages 431–434 A Zometool Model of the B-DNA László Vörös Pages 435–438 Off the Wall: A Brief Report Charlene Morrow Pages 439–442 Snub Polyhedral Forms Constructed from Flexible 60-120 Degree Rhombic Tiles David A. Reimann Pages 443–444 A Rose By Any Other Name... Gregg Helt Pages 445–448 Thoughts on Generative Art David Chappell Pages 449–452 Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns Venera Adanova and Sibel Tari Pages 453–456 Sculpturing Surfaces with Cartan Ribbons Matteo Raffaelli, Jakob Bohr and Steen Markvorsen Pages 457–460 Mathematics Meets Cinema: La Figure de la Terre Osmo Pekonen and Axel Straschnoy Pages 461–464 Prelude Op. 11, No. 1 by A. Scriabin: ICVSIM Relations Nikita Mamedov and Robert Peck Pages 465–468 Sections of Coxeter Orbihedra Motiejus Valiunas, Emilio Zappa and Briony Thomas Pages 469–472 A Successful Art&Math Exhibition with Workshops II Gisèle De Meur and Samuel Verbiese Pages 473–476 Novel Textile Knot Designs Through Mathematical Knot Diagrams Nithikul Nimkulrat and Janette Matthews Pages 477–480 Chladni Figures Revisited: A Peek Into The Third Dimension Martin Skrodzki, Ulrich Reitebuch and Konrad Polthier Pages 481–484 L-System Nomographs: Aesthetics to Calculation Leif Roschier and Ron Doerfler Pages 485–488 Baton Rolling on a Series of Curved Surfaces Akihiro Matsuura and Yuki Yamada Pages 489–492 Texturing Coloured Images in Black and White Hank Guss Pages 493–496 The Hendecagonal Stars in the Alhambra Dirk Huylebrouck and Antonia Redondo Pages 497–500 The Golden Ratio and the Diagonal of the Square Gabriele Gelatti Pages 501–502 The Pythagorean Theorem as a Rooted In-tree Dependency Graph Jesse Atkinson Pages 503–506 Polygon Spirals Nick Mendler Pages 507–510 Pattern Design Using Cellular Automata and Iterative Relocation System Jae Kyun Shin and Seung Ryul Choi Pages 511–514 The Math and Art of Folded Books Sharol Nau and Richard Nau Pages 515–518 Two Non-Octave Tunings by Heinz Bohlen: A Practical Proposal Reilly Smethurst Pages 519–522 Repeating Fractal Patterns with 4-Fold Symmetry Douglas Dunham and John Shier Pages 523–524 Three-Dimensional Score: Seeing Music, Hearing Sculpture Miika Karttunen and Atte Tenkanen Pages 525–528 The Pentagonal Numbers Meet the Choose-4 Numbers James Morrow Pages 529–532 Pointillist Graphing of Iterated Function Systems Risto A. Paju Pages 533–536 Plane-filling Curves on Transitive Grids Jörg Arndt and Julia Handl Pages 537–540 The Fourth Dimension in Mathematics and Art Jean Constant Pages 541–544 A Eulogy in Honour of Anders Johan Lexell, an 18th Century Finnish Mathematician Joonas Ilmavirta and Johan C.-E. Stén Pages 545–548 Flatscape of Measure Polytopes Glenn C. Smith Pages 549–552 Teaching Combinatorics with “Poly-Universe” Eleonóra Stettner and György Emese Pages 553–556 Spelunking Adventure VI: An Equal Tempered Icosahedral Scale Curtis Palmer Pages 557–560 Some Interactive Tools for Examining Renaissance Ciphers Alexander Boxer Pages 561–564 Mathematics on TV? Yes, We Can! Rogério Martins Pages 565–566 Teaching and Learning Basic Group Theory Through Building Models of Polyhedra Sviatoslav Archava, Leela Goel and Erin Traister Pages 567–570 Scales and Temperament from the Mathematical Viewpoint Steven A. Bleiler and Ewan Kummel Pages 571–574 Blogging Math Art Susan Happersett Pages 575–578 Possibilities of the Parabola Robyn Gibson and Melissa Silk Pages 579–582 Classifying Hexagonal Tilings in Islamic Architecture with a Single Numerical Parameter Peter J. Lu and Eric Broug Pages 583–586 Creating the “Discover the Art of Math” Exhibition Kertu Saks and Aare Baumer Pages 587–590 Why Do Mathematical Presentations Sometimes Sound Like Cookery Shows? Katie McCallum Pages 591–594 The “Dual Nature” of the Point János Szász Saxon Pages 595–596 Mathematics Through the Matrix of Poetry Tom Petsinis Pages 597–600 Modelling Environmental Problem-Solving Through STEAM Activities: 4Dframe's Warka Water Workshop Kristóf Fenyvesi, Ho-Gul Park, Taeyoung Choi, Kwangcheol Song and Seungsuk Ahn Pages 601–608 Rhombic Triacontahedron Puzzle George Hart and Elisabeth Heathfield Pages 609–614 Fractal Flipbooks Andrea Hawksley and Scott Duke Kominers Pages 615–620 Elliptic Paraboloids in Circumpolar Vernacular Architecture Nancy Mackin Pages 621–624 Spinning Arms in Motion: Exploring Mathematics within the Art of Figure Skating Tetyana Berezovski, Diana Cheng and Rachel Damiano Pages 625–628 Exploring the Arts Online with the Wolfram Language Christopher Carlson Pages 629–632 Lumifold: a STEAM Activity Melissa Silk and Jane Martin Pages 633–634 Dual Models: One Shape to Make Them All Mircea Draghicescu Pages 635–640 Putting Your Best Foot Forward: Movement and Mathematics in College Erik Stern and Julian Chan Pages 641–648 Origami as a Tool for Exploring Properties of Platonic Solids Natalija Budinski Pages 649–654 (Pattern)2 Liz Shreeve and Melissa Silk Pages 655–658 Euclid's Digital Elements: Straightedge and Compass Softwares as Aid for Geometrical Design Vladmir Sicca Pages 659–662 Legerdemain: Exploring Tessellation with CatsEye Douglas Easterly Pages 663–666 Similarity Drawn Freehand Teresa Downard Pages 667–672 How to Draw Perspective Directly on a 3D Plane Tomás García Salgado Pages 673–680 Mathematical and Physical Properties of Rope Made for Decorative Purposes Alexander Åström and Christoffer Åström Pages 681–688


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