Bridges 2016
zurück zu The Bridge Conferences: art and mathematics
Inhaltsverzeichnis
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, August 9-13. 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. http://archive.bridgesmathart.org/2016/bridges2016-1.pdf
- Raine Koskimaa: World as Numbers: Living in an Algorithmic Culture. In: Bridges 2016, Pages 9–14. http://archive.bridgesmathart.org/2016/bridges2016-9.pdf
- * Saul Schleimer and Henry Segerman: Squares that Look Round: Transforming Spherical Images. In: Bridges 2016, Pages 15–24. http://archive.bridgesmathart.org/2016/bridges2016-15.pdf
- * Judy Holdener: Immersion in Mathematics. In: Bridges 2016, Pages 25–32. http://archive.bridgesmathart.org/2016/bridges2016-25.pdf
- * Rinus Roelofs: The Elevation of Coxeter's Infinite Regular Polyhedron 444444. In: Bridges 2016, Pages 33–40. http://archive.bridgesmathart.org/2016/bridges2016-33.pdf
- * Carlo H. Séquin: From Klein Bottles to Modular Super-Bottles. In: Bridges 2016, Pages 41–48. http://archive.bridgesmathart.org/2016/bridges2016-41.pdf
- Abdalla G. M. Ahmed and Oliver Deussen: Tuti Weaving. In: Bridges 2016, Pages 49–56. http://archive.bridgesmathart.org/2016/bridges2016-49.pdf
- * Javier Barrallo Calonge and Luis Martín Yagüe: Fostering Creativity in the Teaching of Mathematics with Project Based Learning. In: Bridges 2016, Pages 57–64. http://archive.bridgesmathart.org/2016/bridges2016-57.pdf
- Andrew Simoson: The Size and Shape of Utopia. In: Bridges 2016, Pages 65–70. http://archive.bridgesmathart.org/2016/bridges2016-65.pdf
- Craig S. Kaplan: Hypocycloid Juggling Patterns. In: Bridges 2016, Pages 71–78. http://archive.bridgesmathart.org/2016/bridges2016-71.pdf
- Mirka Havinga and Päivi Portaankorva-Koivisto: Visual Arts and Mathematics Education: Looking for Integrative Phenomena. In: Bridges 2016, Pages 79–86. http://archive.bridgesmathart.org/2016/bridges2016-79.pdf
- Walt van Ballegooijen and Carlo H. Séquin: Interlinking Polyhedral Wire-Frames. In: Bridges 2016, Pages 87–96. http://archive.bridgesmathart.org/2016/bridges2016-87.pdf
- * 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. http://archive.bridgesmathart.org/2016/bridges2016-97.pdf
- * Tom Verhoeff and Koos Verhoeff: Three Mathematical Sculptures for the Mathematikon. In: Bridges 2016, Pages 105–110. http://archive.bridgesmathart.org/2016/bridges2016-105.pdf
- Karl Kattchee and Craig S. Kaplan: Combinatorial Poppies. In: Bridges 2016, Pages 111–118. http://archive.bridgesmathart.org/2016/bridges2016-111.pdf
- Douglas M. McKenna: Tendril Motifs for Space-Filling, Half-Domino Curves. In: Bridges 2016, Pages 119–126. http://archive.bridgesmathart.org/2016/bridges2016-119.pdf
- Joshua Holden and Lana Holden: Modeling Braids, Cables, and Weaves with Stranded Cellular Automata. In: Bridges 2016, Pages 127–134. http://archive.bridgesmathart.org/2016/bridges2016-127.pdf
- Paul Gailiunas: Helical Petrie Polygons. In: Bridges 2016, Pages 135–140. http://archive.bridgesmathart.org/2016/bridges2016-135.pdf
- * Reza Sarhangi: Some Girihs and Puzzles from the Interlocks of Similar or Complementary Figures Treatise. In: Bridges 2016, Pages 141–150. http://archive.bridgesmathart.org/2016/bridges2016-141.pdf
- * Gary R. Greenfield: Turing-like Patterns from Cellular Automata. In: Bridges 2016, Pages 151–158. http://archive.bridgesmathart.org/2016/bridges2016-151.pdf
- * Tuomas Nurmi: From Checkerboard to Cloverfield: Using Wang Tiles in Seamless Non-Periodic Patterns. In: Bridges 2016, Pages 159–166. http://archive.bridgesmathart.org/2016/bridges2016-159.pdf
- * Ron Asherov: Underlying Tiles in a 15th Century Mamluk Pattern. In: Bridges 2016, Pages 167–172. http://archive.bridgesmathart.org/2016/bridges2016-167.pdf
- * Zekeriya Karadag: Artefacts to Enhance Geometrical Thinking. In: Bridges 2016, Pages 173–178. http://archive.bridgesmathart.org/2016/bridges2016-173.pdf
- ** Chamberlain Fong: The Conformal Hyperbolic Square and Its Ilk. In: Bridges 2016, Pages 179–186. http://archive.bridgesmathart.org/2016/bridges2016-179.pdf
- * Cornelie Leopold: Geometry and Aesthetics of Pentagonal Structures in the Art of Gerard Caris. In: Bridges 2016, Pages 187–194. http://archive.bridgesmathart.org/2016/bridges2016-187.pdf
- Carolyn Lamb, Dan G. Brown and Charlie L.A. Clarke: A Taxonomy of Generative Poetry Techniques. In: Bridges 2016, Pages 195–202. http://archive.bridgesmathart.org/2016/bridges2016-195.pdf
- * S.J. Spencer: Not only Art but also Rocket Science. In: Bridges 2016, Pages 203–208. http://archive.bridgesmathart.org/2016/bridges2016-203.pdf
- Markus Rissanen: Hex Rosa. In: Bridges 2016, Pages 209–216. http://archive.bridgesmathart.org/2016/bridges2016-209.pdf
- Robert W. Fathauer: Fractal Gaskets: Reptiles, Hamiltonian Cycles, and Spatial Development. In: Bridges 2016, Pages 217–224. http://archive.bridgesmathart.org/2016/bridges2016-217.pdf
- Roger Burrows: Shape-Changing Polyhedra. In: Bridges 2016, Pages 225–232. http://archive.bridgesmathart.org/2016/bridges2016-225.pdf
- James Mai: Planes and Frames: Spatial Layering in Josef Albers' Homage to the Square Paintings. In: Bridges 2016, Pages 233–240. http://archive.bridgesmathart.org/2016/bridges2016-233.pdf
- Jay Zimmerman: Portraits of Groups on Bordered Surfaces. In: Bridges 2016, Pages 241–246. http://archive.bridgesmathart.org/2016/bridges2016-241.pdf
- Lali Barrière and Anna Carreras: Genera Esfera: Interacting with a Trackball Mapped onto a Sphere to Explore Generative Visual Worlds. In: Bridges 2016, Pages 247–254. http://archive.bridgesmathart.org/2016/bridges2016-247.pdf
- Tiina Katriina Kukkonen: Circular Forms in Aleksis Kivi's Texts. In: Bridges 2016, In: Bridges 2016, Pages 255–262. http://archive.bridgesmathart.org/2016/bridges2016-255.pdf
- Dirk Huylebrouck: Euler-Cayley Formula for ‘Unusual’ Polyhedra. In: Bridges 2016, Pages 263–268. http://archive.bridgesmathart.org/2016/bridges2016-263.pdf
- Paul Moerman: Dancing Math: Teaching and Learning in the Intersection of Aesthetic and Mathematical Literacy. In: Bridges 2016, Pages 269–276. http://archive.bridgesmathart.org/2016/bridges2016-269.pdf
- Ramon Roel Orduño, Nicholas Winard, Steven Bierwagen, Dylan Shell, Negar Kalantar, Alireza Borhani and Ergun Akleman: A Mathematical Approach to Obtain Isoperimetric Shapes for D-Form Construction. In: Bridges 2016, Pages 277–284. http://archive.bridgesmathart.org/2016/bridges2016-277.pdf
- Matthew Thomas and Crystal Peebles: A Graph-Theoretic Approach to the Analysis of Contra Dances. In: Bridges 2016, Pages 285–292. http://archive.bridgesmathart.org/2016/bridges2016-285.pdf
- Vincent J. Matsko: Koch-Like Fractal Images. In: Bridges 2016, Pages 293–300. http://archive.bridgesmathart.org/2016/bridges2016-293.pdf
- Mahsa Kharazmi: A Study on Geometric Constructions on Brickwork Decorations in Iranian Architecture. In: Bridges 2016, Pages 301–308. http://archive.bridgesmathart.org/2016/bridges2016-301.pdf
+ Sama Mara. The Rhythm of a Pattern. In: Bridges 2016, Pages 309–316. http://archive.bridgesmathart.org/2016/bridges2016-309.pdf
- Molude Noori and Qobad Kiyanmehr: The Analysis of the Geometric Decorations of the Stone Half-Columns of Friday Mosque of Isfahan. In: Bridges 2016, Pages 317–324. http://archive.bridgesmathart.org/2016/bridges2016-317.pdf
- Jean-Marc Castera: Another look at Pentagonal Persian Patterns. In: Bridges 2016, Pages 325–330. http://archive.bridgesmathart.org/2016/bridges2016-325.pdf
- Begüm Hamzaoğlu and Mine Özkar: Geometric Patterns as Material Things: The Making of Seljuk Patterns on Curved Surfaces. In: Bridges 2016, Pages 331–336. http://archive.bridgesmathart.org/2016/bridges2016-331.pdf
- Donald Spector: Colors and Incomputability. In: Bridges 2016, Pages 337–344. http://archive.bridgesmathart.org/2016/bridges2016-337.pdf
- Pam Burnard, Zsolt Lavicza and Carrie Anne Philbin: Strictly Coding: Connecting Mathematics and Music through Digital Making. In: Bridges 2016, Pages 345–350. http://archive.bridgesmathart.org/2016/bridges2016-345.pdf
- Sujan Shrestha and Reza Sarhangi: A Bridges Center for Mathematical Connections in Art and Science. In: Bridges 2016, Pages 351–354. http://archive.bridgesmathart.org/2016/bridges2016-351.pdf
- Gail Tang and Alan Tollefson: Constructing Meaning Through Making and Creating. In: Bridges 2016, Pages 355–358. http://archive.bridgesmathart.org/2016/bridges2016-355.pdf
- Zachary Abel: Prime Portraits. In: Bridges 2016, Pages 359–362. http://archive.bridgesmathart.org/2016/bridges2016-359.pdf
- Godfried T. Toussaint: Phylogenetic Analysis of the Ancient Greek Paeonic Rhythms. In: Bridges 2016, Pages 363–366. http://archive.bridgesmathart.org/2016/bridges2016-363.pdf
- Kento Nakamura and Kazushi Ahara: A New Algorithm for Rendering Kissing Schottky Groups. In: Bridges 2016, Pages 367–370. http://archive.bridgesmathart.org/2016/bridges2016-367.pdf
- Yongquan Lu and Erik D. Demaine: Beautification of Islamic Patterns via Constraint Satisfaction. In: Bridges 2016, Pages 371–374. http://archive.bridgesmathart.org/2016/bridges2016-371.pdf
- Chia-Chin Tsoo and Bih-Yaw Jin: Molecular Modeling of Four-Connected Zeolite Frameworks with Mathematical Beading. In: Bridges 2016, Pages 375–378. http://archive.bridgesmathart.org/2016/bridges2016-375.pdf
- Dmitri Kozlov: Generalized Brunes Stars and System of Pythagorean Triples. In: Bridges 2016, Pages 379–382. http://archive.bridgesmathart.org/2016/bridges2016-379.pdf
- Mike Naylor: Knight Mazes. In: Bridges 2016, Pages 383–386. http://archive.bridgesmathart.org/2016/bridges2016-383.pdf
- Bianca Violet and Andreas Matt: Mathematikon: A Mathematical Shopping Center. In: Bridges 2016, Pages 387–390. http://archive.bridgesmathart.org/2016/bridges2016-387.pdf
- Robert Bosch: Lights Out Animations. In: Bridges 2016, Pages 391–394. http://archive.bridgesmathart.org/2016/bridges2016-391.pdf
- Susan Goldstine: A Recursion in Knitting. In: Bridges 2016, Pages 395–398. http://archive.bridgesmathart.org/2016/bridges2016-395.pdf
- Kenneth Brecher: Polyhedral Tableaux. In: Bridges 2016, Pages 399–402. http://archive.bridgesmathart.org/2016/bridges2016-399.pdf
- Hans Kuiper and Walt van Ballegooijen: Gödel, Escher, Bach: Just Another Braid. In: Bridges 2016, Pages 403–406.
- Cathleen O'Neil: A Musical Polyhedron Updated for the 21st Century. In: Bridges 2016, Pages 407–410.
- Sage Jenson: Organic 3D Mesh Creation Through Particle-Based Physics Simulation. In: Bridges 2016, Pages 411–414.
- Loe Feijs and Marina Toeters: Pied de Pulse: Packing Embroidered Circles and Coil Actuators in Pied de Poule (Houndstooth). In: Bridges 2016, Pages 415–418.
- Bjarne Jespersen: Digital Mechanics and The Rolling Coin Clock. In: Bridges 2016, Pages 419–422.
- Anusch Bayens, Carlo De Pauw, Carmen Geens, Mark Pieters, André Thomas, Alex Van Bogaert, Samuel Verbiese and Nico Willemsens: Bridges as an Incentive to Collaborative Works II. In: Bridges 2016, Pages 423–426.
- Max Grusky: Representational Random Walks. In: Bridges 2016, Pages 427–430.
- Markus Schwehm: A Fast Algorithm for Creating Turing-McCabe Patterns. In: Bridges 2016, Pages 431–434.
- László Vörös: A Zometool Model of the B-DNA. In: Bridges 2016, Pages 435–438.
- Charlene Morrow: Off the Wall: A Brief Report. In: Bridges 2016, Pages 439–442.
- David A. Reimann: Snub Polyhedral Forms Constructed from Flexible 60-120 Degree Rhombic Tiles. In: Bridges 2016, Pages 443–444.
- Gregg Helt: A Rose By Any Other Name... In: Bridges 2016, Pages 445–448
- David Chappell: Thoughts on Generative Art. In: Bridges 2016, Pages 449–452.
- Venera Adanova and Sibel Tari: Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns. In: Bridges 2016, Pages 453–456.
- Matteo Raffaelli, Jakob Bohr and Steen Markvorsen: Sculpturing Surfaces with Cartan Ribbons. In: Bridges 2016, Pages 457–460.
- Osmo Pekonen and Axel Straschnoy: Mathematics Meets Cinema: La Figure de la Terre. In: Bridges 2016, Pages 461–464.
- Nikita Mamedov and Robert Peck: Prelude Op. 11, No. 1 by A. Scriabin: ICVSIM Relations. In: Bridges 2016, Pages 465–468.
- Motiejus Valiunas, Emilio Zappa and Briony Thomas: Sections of Coxeter Orbihedra. In: Bridges 2016, Pages 469–472.
- Gisèle De Meur and Samuel Verbiese: A Successful Art&Math Exhibition with Workshops II. In: Bridges 2016, Pages 473–476.
- Nithikul Nimkulrat and Janette Matthews: Novel Textile Knot Designs Through Mathematical Knot Diagrams. In: Bridges 2016, In: Bridges 2016, Pages 477–480.
- Martin Skrodzki, Ulrich Reitebuch and Konrad Polthier: Chladni Figures Revisited: A Peek Into The Third Dimension. In: Bridges 2016, Pages 481–484.
- Leif Roschier and Ron Doerfler: L-System Nomographs: Aesthetics to Calculation. In: Bridges 2016, Pages 485–488.
- Akihiro Matsuura and Yuki Yamada: Baton Rolling on a Series of Curved Surfaces. In: Bridges 2016, Pages 489–492.
- Hank Guss: Texturing Coloured Images in Black and White. In: Bridges 2016, Pages 493–496.
- Dirk Huylebrouck and Antonia Redondo: The Hendecagonal Stars in the Alhambra. In: Bridges 2016, Pages 497–500.
- Gabriele Gelatti: The Golden Ratio and the Diagonal of the Square. In: Bridges 2016, Pages 501–502.
- Jesse Atkinson: The Pythagorean Theorem as a Rooted In-tree Dependency Graph. In: Bridges 2016, Pages 503–506.
- Nick Mendler: Polygon Spirals. In: Bridges 2016, Pages 507–510.
- Jae Kyun Shin and Seung Ryul Choi: Pattern Design Using Cellular Automata and Iterative Relocation System. In: Bridges 2016, Pages 511–514.
- Sharol Nau and Richard Nau: The Math and Art of Folded Books. In: Bridges 2016, Pages 515–518.
- Reilly Smethurst: Two Non-Octave Tunings by Heinz Bohlen: A Practical Proposal. In: Bridges 2016, Pages 519–522.
- Douglas Dunham and John Shier: Repeating Fractal Patterns with 4-Fold Symmetry. In: Bridges 2016, Pages 523–524.
- Miika Karttunen and Atte Tenkanen: Three-Dimensional Score: Seeing Music, Hearing Sculpture. In: Bridges 2016, Pages 525–528.
- James Morrow: The Pentagonal Numbers Meet the Choose-4 Numbers. In: Bridges 2016, Pages 529–532.
- Risto A. Paju: Pointillist Graphing of Iterated Function Systems. In: Bridges 2016, Pages 533–536.
- Jörg Arndt and Julia Handl: Plane-filling Curves on Transitive Grids. In: Bridges 2016, Pages 537–540.
- Jean Constant: The Fourth Dimension in Mathematics and Art. In: Bridges 2016, Pages 541–544.
- Joonas Ilmavirta and Johan C.-E. Stén: A Eulogy in Honour of Anders Johan Lexell, an 18th Century Finnish Mathematician. In: Bridges 2016, Pages 545–548.
- Glenn C. Smith: Flatscape of Measure Polytopes. In: Bridges 2016, Pages 549–552.
- Eleonóra Stettner and György Emese: Teaching Combinatorics with “Poly-Universe”. In: Bridges 2016, Pages 553–556.
- Curtis Palmer: Spelunking Adventure VI: An Equal Tempered Icosahedral Scale. In: Bridges 2016, Pages 557–560.
- Some Interactive Tools for Examining Renaissance Ciphers. In: Bridges 2016, Pages 561–564.
- Rogério Martins: Mathematics on TV? Yes, We Can! In: Bridges 2016, Pages 565–566.
- Sviatoslav Archava, Leela Goel and Erin Traister: Teaching and Learning Basic Group Theory Through Building Models of Polyhedra. In: Bridges 2016, Pages 567–570.
- Steven A. Bleiler and Ewan Kummel: Scales and Temperament from the Mathematical Viewpoint. In: Bridges 2016, Pages 571–574.
- Susan Happersett: Blogging Math Art. In: Bridges 2016, Pages 575–578.
- Robyn Gibson and Melissa Silk: Possibilities of the Parabola. In: Bridges 2016, Pages 579–582.
- Peter J. Lu and Eric Broug: Classifying Hexagonal Tilings in Islamic Architecture with a Single Numerical Parameter. In: Bridges 2016, Pages 583–586.
- Kertu Saks and Aare Baumer: Creating the “Discover the Art of Math” Exhibition. In: Bridges 2016, Pages 587–590.
- Katie McCallum: Why Do Mathematical Presentations Sometimes Sound Like Cookery Shows? In: Bridges 2016, Pages 591–594.
- János Szász Saxon: The “Dual Nature” of the Point. In: Bridges 2016, Pages 595–596.
- Tom Petsinis: Mathematics Through the Matrix of Poetry. In: Bridges 2016, Pages 597–600.
- Kristóf Fenyvesi, Ho-Gul Park, Taeyoung Choi, Kwangcheol Song and Seungsuk Ahn: Modelling Environmental Problem-Solving Through STEAM Activities: 4Dframe's Warka Water Workshop. In: Bridges 2016, Pages 601–608.
- George Hart and Elisabeth Heathfield: Rhombic Triacontahedron Puzzle. In: Bridges 2016, Pages 609–614.
- Andrea Hawksley and Scott Duke Kominers: Fractal Flipbooks. In: Bridges 2016, Pages 615–620.
- Nancy Mackin: Elliptic Paraboloids in Circumpolar Vernacular Architecture. In: Bridges 2016, Pages 621–624.
- Tetyana Berezovski, Diana Cheng and Rachel Damiano: Spinning Arms in Motion: Exploring Mathematics within the Art of Figure Skating. In: Bridges 2016, Pages 625–628.
- Christopher Carlson: Exploring the Arts Online with the Wolfram Language. In: Bridges 2016, Pages 629–632.
- Melissa Silk and Jane Martin: Lumifold: a STEAM Activity. In: Bridges 2016, Pages 633–634.
- Mircea Draghicescu: Dual Models: One Shape to Make Them All. In: Bridges 2016, Pages 635–640.
- Erik Stern and Julian Chan: Putting Your Best Foot Forward: Movement and Mathematics in College. In: Bridges 2016, Pages 641–648.
- Natalija Budinski: Origami as a Tool for Exploring Properties of Platonic Solids. In: Bridges 2016, Pages 649–654.
- Liz Shreeve and Melissa Silk: (Pattern)2. In: Bridges 2016, Pages 655–658.
- Vladmir Sicca: Euclid's Digital Elements: Straightedge and Compass Softwares as Aid for Geometrical Design. In: Bridges 2016, Pages 659–662.
- Douglas Easterly: Legerdemain: Exploring Tessellation with CatsEye. In: Bridges 2016, Pages 663–666.
- Teresa Downard: Similarity Drawn Freehand. In: Bridges 2016, Pages 667–672.
- Tomás García Salgado: How to Draw Perspective Directly on a 3D Plane. In: Bridges 2016, Pages 673–680.
- Alexander Åström and Christoffer Åström: Mathematical and Physical Properties of Rope Made for Decorative Purposes. In: Bridges 2016, Pages 681–688.
Links
Full Text
http://archive.bridgesmathart.org/2016/index.html