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== Reference ==
 
== 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  
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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 ==
 
== DOI ==
Zeile 28: Zeile 28:
  
 
== Table of contents ==
 
== Table of contents ==
* The Editors: Front Matter
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* The Editors: Front Matter. http://archive.bridgesmathart.org/2016/frontmatter.pdf
  
* Kirsi Peltonen: Crystal Flowers in Halls of Mirrors: Mathematics Meets Art and Architecture. In: [[Bridges 2016]], Pages 1–8.  
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* 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.  
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* 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.  
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* <span style="color:red;">*</span> 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.
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* 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.
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* 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.
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* 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.
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* 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
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* 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.  
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* 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.
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* 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
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* 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.  
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* 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.
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* 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. Pages 105–110
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* 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. Pages 111–118.
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* 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. Pages 119–126.
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* 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. Pages 127–134.
+
* 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. Pages 135–140.  
+
* 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. Pages 141–150.  
+
* 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. Pages 151–158.  
+
* [[Gary 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. Pages 159–166.  
+
* 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. Pages 167–172.  
+
* 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. Pages 173–178.  
+
* 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. Pages 179–186.  
+
* <span style="color:red;">*</span> 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. Pages 187–194.  
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* 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. Pages 195–202.  
+
* 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. Pages 203–208.  
+
* 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. Pages 209–216.  
+
* 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
  
Fractal Gaskets: Reptiles, Hamiltonian Cycles, and Spatial Development
+
* Roger Burrows: [[Shape-Changing Polyhedra]]. In: [[Bridges 2016]], Pages 225–232. http://archive.bridgesmathart.org/2016/bridges2016-225.pdf
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
 
  
 +
* 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
 +
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* 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
 +
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* 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. http://archive.bridgesmathart.org/2016/bridges2016-403.pdf
 +
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* Cathleen O'Neil: A Musical Polyhedron Updated for the 21st Century. In: [[Bridges 2016]], Pages 407–410. http://archive.bridgesmathart.org/2016/bridges2016-407.pdf
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* Sage Jenson: Organic 3D Mesh Creation Through Particle-Based Physics Simulation. In: [[Bridges 2016]], Pages 411–414. http://archive.bridgesmathart.org/2016/bridges2016-411.pdf
 +
 +
* 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. http://archive.bridgesmathart.org/2016/bridges2016-415.pdf
 +
 +
* Bjarne Jespersen: Digital Mechanics and The Rolling Coin Clock. In: [[Bridges 2016]], Pages 419–422. http://archive.bridgesmathart.org/2016/bridges2016-419.pdf
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* 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. http://archive.bridgesmathart.org/2016/bridges2016-423.pdf
 +
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* Max Grusky: [[Representational Random Walks]]. In: [[Bridges 2016]], Pages 427–430. http://archive.bridgesmathart.org/2016/bridges2016-427.pdf
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 +
* Markus Schwehm: [[A Fast Algorithm for Creating Turing-McCabe Patterns]]. In: [[Bridges 2016]], Pages 431–434. http://archive.bridgesmathart.org/2016/bridges2016-431.pdf
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 +
* László Vörös: A Zometool Model of the B-DNA. In: [[Bridges 2016]], Pages 435–438. http://archive.bridgesmathart.org/2016/bridges2016-435.pdf
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 +
* Charlene Morrow: Off the Wall: A Brief Report. In: [[Bridges 2016]], Pages 439–442. http://archive.bridgesmathart.org/2016/bridges2016-439.pdf
 +
 +
* David A. Reimann: Snub Polyhedral Forms Constructed from Flexible 60-120 Degree Rhombic Tiles. In: [[Bridges 2016]], Pages 443–444. http://archive.bridgesmathart.org/2016/bridges2016-443.pdf
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 +
* Gregg Helt: [[A Rose By Any Other Name]]. In: [[Bridges 2016]], Pages 445–448. http://archive.bridgesmathart.org/2016/bridges2016-445.pdf
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 +
* David Chappell: [[Thoughts on Generative Art]]. In: [[Bridges 2016]], Pages 449–452. http://archive.bridgesmathart.org/2016/bridges2016-449.pdf
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* <span style="color:red;">*</span> Venera Adanova and Sibel Tari: [[Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns]]. In: [[Bridges 2016]], Pages 453–456. http://archive.bridgesmathart.org/2016/bridges2016-453.pdf
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* Matteo Raffaelli, Jakob Bohr and Steen Markvorsen: Sculpturing Surfaces with Cartan Ribbons. In: [[Bridges 2016]], Pages 457–460. http://archive.bridgesmathart.org/2016/bridges2016-457.pdf
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* Osmo Pekonen and Axel Straschnoy: Mathematics Meets Cinema: La Figure de la Terre. In: [[Bridges 2016]], Pages 461–464. http://archive.bridgesmathart.org/2016/bridges2016-461.pdf
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 +
* Nikita Mamedov and Robert Peck: Prelude Op. 11, No. 1 by A. Scriabin: ICVSIM Relations. In: [[Bridges 2016]], Pages 465–468. http://archive.bridgesmathart.org/2016/bridges2016-465.pdf
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 +
* Motiejus Valiunas, Emilio Zappa and Briony Thomas: Sections of Coxeter Orbihedra. In: [[Bridges 2016]], Pages 469–472. http://archive.bridgesmathart.org/2016/bridges2016-469.pdf
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* Gisèle De Meur and Samuel Verbiese: A Successful Art&Math Exhibition with Workshops II. In: [[Bridges 2016]], Pages 473–476. http://archive.bridgesmathart.org/2016/bridges2016-473.pdf
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 +
* Nithikul Nimkulrat and Janette Matthews: Novel Textile Knot Designs Through Mathematical Knot Diagrams. In: [[Bridges 2016]], In: [[Bridges 2016]], Pages 477–480. http://archive.bridgesmathart.org/2016/bridges2016-477.pdf
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* Martin Skrodzki, Ulrich Reitebuch and Konrad Polthier: [[Chladni Figures Revisited: A Peek Into The Third Dimension]]. In: [[Bridges 2016]], Pages 481–484. http://archive.bridgesmathart.org/2016/bridges2016-481.pdf
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* Leif Roschier and Ron Doerfler: L-System Nomographs: Aesthetics to Calculation. In: [[Bridges 2016]], Pages 485–488. http://archive.bridgesmathart.org/2016/bridges2016-485.pdf
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 +
* Akihiro Matsuura and Yuki Yamada: Baton Rolling on a Series of Curved Surfaces. In: [[Bridges 2016]], Pages 489–492. http://archive.bridgesmathart.org/2016/bridges2016-489.pdf
 +
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* Hank Guss: Texturing Coloured Images in Black and White. In: [[Bridges 2016]], Pages 493–496. http://archive.bridgesmathart.org/2016/bridges2016-493.pdf
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 +
* Dirk Huylebrouck and Antonia Redondo: [[The Hendecagonal Stars in the Alhambra]]. In: [[Bridges 2016]], Pages 497–500. http://archive.bridgesmathart.org/2016/bridges2016-497.pdf
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* Gabriele Gelatti: The Golden Ratio and the Diagonal of the Square. In: [[Bridges 2016]], Pages 501–502. http://archive.bridgesmathart.org/2016/bridges2016-501.pdf
 +
 +
* Jesse Atkinson: The Pythagorean Theorem as a Rooted In-tree Dependency Graph. In: [[Bridges 2016]], Pages 503–506. http://archive.bridgesmathart.org/2016/bridges2016-503.pdf
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 +
* Nick Mendler: Polygon Spirals. In: [[Bridges 2016]], Pages 507–510. http://archive.bridgesmathart.org/2016/bridges2016-507.pdf
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 +
* Jae Kyun Shin and Seung Ryul Choi: [[Pattern Design Using Cellular Automata and Iterative Relocation System]]. In: [[Bridges 2016]], Pages 511–514. http://archive.bridgesmathart.org/2016/bridges2016-511.pdf
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 +
* Sharol Nau and Richard Nau: The Math and Art of Folded Books. In: [[Bridges 2016]], Pages 515–518. http://archive.bridgesmathart.org/2016/bridges2016-515.pdf
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 +
* Reilly Smethurst: Two Non-Octave Tunings by Heinz Bohlen: A Practical Proposal. In: [[Bridges 2016]], Pages 519–522. http://archive.bridgesmathart.org/2016/bridges2016-519.pdf
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* Douglas Dunham and John Shier: [[Repeating Fractal Patterns with 4-Fold Symmetry]]. In: [[Bridges 2016]], Pages 523–524. http://archive.bridgesmathart.org/2016/bridges2016-523.pdf
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* Miika Karttunen and Atte Tenkanen: Three-Dimensional Score: Seeing Music, Hearing Sculpture. In: [[Bridges 2016]], Pages 525–528. http://archive.bridgesmathart.org/2016/bridges2016-525.pdf
 +
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* James Morrow: The Pentagonal Numbers Meet the Choose-4 Numbers. In: [[Bridges 2016]], Pages 529–532. http://archive.bridgesmathart.org/2016/bridges2016-529.pdf
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* Risto A. Paju: Pointillist Graphing of Iterated Function Systems. In: [[Bridges 2016]], Pages 533–536. http://archive.bridgesmathart.org/2016/bridges2016-533.pdf
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 +
* Jörg Arndt and Julia Handl: Plane-filling Curves on Transitive Grids. In: [[Bridges 2016]], Pages 537–540. http://archive.bridgesmathart.org/2016/bridges2016-537.pdf
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 +
* Jean Constant: [[The Fourth Dimension in Mathematics and Art]]. In: [[Bridges 2016]], Pages 541–544. http://archive.bridgesmathart.org/2016/bridges2016-541.pdf
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* 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. http://archive.bridgesmathart.org/2016/bridges2016-545.pdf
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* Glenn C. Smith: Flatscape of Measure Polytopes. In: [[Bridges 2016]], Pages 549–552. http://archive.bridgesmathart.org/2016/bridges2016-549.pdf
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 +
* Eleonóra Stettner and György Emese: Teaching Combinatorics with “Poly-Universe”. In: [[Bridges 2016]], Pages 553–556. http://archive.bridgesmathart.org/2016/bridges2016-553.pdf
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 +
* Curtis Palmer: Spelunking Adventure VI: An Equal Tempered Icosahedral Scale. In: [[Bridges 2016]], Pages 557–560. http://archive.bridgesmathart.org/2016/bridges2016-557.pdf
 +
 +
* Some Interactive Tools for Examining Renaissance Ciphers. In: [[Bridges 2016]], Pages 561–564. http://archive.bridgesmathart.org/2016/bridges2016-561.pdf
 +
 +
* Rogério Martins: Mathematics on TV? Yes, We Can! In: [[Bridges 2016]], Pages 565–566. http://archive.bridgesmathart.org/2016/bridges2016-565.pdf
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 +
* Sviatoslav Archava, Leela Goel and Erin Traister: Teaching and Learning Basic Group Theory Through Building Models of Polyhedra. In: [[Bridges 2016]], Pages 567–570. http://archive.bridgesmathart.org/2016/bridges2016-567.pdf
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* Steven A. Bleiler and Ewan Kummel: Scales and Temperament from the Mathematical Viewpoint. In: [[Bridges 2016]], Pages 571–574. http://archive.bridgesmathart.org/2016/bridges2016-571.pdf
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 +
* Susan Happersett: [[Blogging Math Art]]. In: [[Bridges 2016]], Pages 575–578. http://archive.bridgesmathart.org/2016/bridges2016-575.pdf
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 +
* Robyn Gibson and Melissa Silk: Possibilities of the Parabola. In: [[Bridges 2016]], Pages 579–582. http://archive.bridgesmathart.org/2016/bridges2016-579.pdf
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 +
* Peter J. Lu and Eric Broug: [[Classifying Hexagonal Tilings in Islamic Architecture with a Single Numerical Parameter]]. In: [[Bridges 2016]], Pages 583–586. http://archive.bridgesmathart.org/2016/bridges2016-583.pdf
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 +
* Kertu Saks and Aare Baumer: Creating the “Discover the Art of Math” Exhibition. In: [[Bridges 2016]], Pages 587–590. http://archive.bridgesmathart.org/2016/bridges2016-587.pdf
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 +
* Katie McCallum: Why Do Mathematical Presentations Sometimes Sound Like Cookery Shows? In: [[Bridges 2016]], Pages 591–594. http://archive.bridgesmathart.org/2016/bridges2016-591.pdf
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 +
* János Szász Saxon: The “Dual Nature” of the Point. In: [[Bridges 2016]], Pages 595–596. http://archive.bridgesmathart.org/2016/bridges2016-595.pdf
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 +
* Tom Petsinis: Mathematics Through the Matrix of Poetry. In: [[Bridges 2016]], Pages 597–600. http://archive.bridgesmathart.org/2016/bridges2016-597.pdf
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 +
* 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. http://archive.bridgesmathart.org/2016/bridges2016-601.pdf
 +
 +
* George Hart and Elisabeth Heathfield: Rhombic Triacontahedron Puzzle. In: [[Bridges 2016]], Pages 609–614. http://archive.bridgesmathart.org/2016/bridges2016-609.pdf
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 +
* Andrea Hawksley and Scott Duke Kominers: Fractal Flipbooks. In: [[Bridges 2016]], Pages 615–620. http://archive.bridgesmathart.org/2016/bridges2016-60115.pdf
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 +
* Nancy Mackin: Elliptic Paraboloids in Circumpolar Vernacular Architecture. In: [[Bridges 2016]], Pages 621–624. http://archive.bridgesmathart.org/2016/bridges2016-621.pdf
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 +
* 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. http://archive.bridgesmathart.org/2016/bridges2016-625.pdf
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 +
* Christopher Carlson: Exploring the Arts Online with the Wolfram Language. In: [[Bridges 2016]], Pages 629–632. http://archive.bridgesmathart.org/2016/bridges2016-629.pdf
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 +
* Melissa Silk and Jane Martin: Lumifold: a STEAM Activity. In: [[Bridges 2016]], Pages 633–634. http://archive.bridgesmathart.org/2016/bridges2016-633.pdf
 +
 +
* Mircea Draghicescu: Dual Models: One Shape to Make Them All. In: [[Bridges 2016]], Pages 635–640. http://archive.bridgesmathart.org/2016/bridges2016-635.pdf
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 +
* Erik Stern and Julian Chan: Putting Your Best Foot Forward: Movement and Mathematics in College. In: [[Bridges 2016]], Pages 641–648. http://archive.bridgesmathart.org/2016/bridges2016-641.pdf
 +
 +
* Natalija Budinski: Origami as a Tool for Exploring Properties of Platonic Solids. In: [[Bridges 2016]], Pages 649–654. http://archive.bridgesmathart.org/2016/bridges2016-649.pdf
 +
 +
* Liz Shreeve and Melissa Silk: (Pattern)2. In: [[Bridges 2016]], Pages 655–658. http://archive.bridgesmathart.org/2016/bridges2016-655.pdf
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 +
* Vladmir Sicca: Euclid's Digital Elements: Straightedge and Compass Softwares as Aid for Geometrical Design. In: [[Bridges 2016]], Pages 659–662. http://archive.bridgesmathart.org/2016/bridges2016-659.pdf
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 +
* <span style="color:red;">*</span> Douglas Easterly: [[Legerdemain: Exploring Tessellation with CatsEye]]. In: [[Bridges 2016]], Pages 663–666. http://archive.bridgesmathart.org/2016/bridges2016-663.pdf
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 +
* Teresa Downard: Similarity Drawn Freehand. In: [[Bridges 2016]], Pages 667–672. http://archive.bridgesmathart.org/2016/bridges2016-667.pdf
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 +
* Tomás García Salgado: How to Draw Perspective Directly on a 3D Plane. In: [[Bridges 2016]], Pages 673–680. http://archive.bridgesmathart.org/2016/bridges2016-673.pdf
 +
 +
* Alexander Åström and Christoffer Åström: Mathematical and Physical Properties of Rope Made for Decorative Purposes. In: [[Bridges 2016]], Pages 681–688. http://archive.bridgesmathart.org/2016/bridges2016-681.pdf
  
 
== Links ==
 
== Links ==

Aktuelle Version vom 27. Dezember 2016, 21:51 Uhr


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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, 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

Links

Full Text

http://archive.bridgesmathart.org/2016/index.html

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Sonstige Links

http://bridgesmathart.org/bridges-2016/


zurück zu The Bridge Conferences: art and mathematics