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== Reference ==
 
== Reference ==
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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. 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 ==
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* The Editors: Front Matter
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* The Editors: Front Matter. http://archive.bridgesmathart.org/2016/frontmatter.pdf
  
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* 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
  
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* 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
  
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* 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
  
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* 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
  
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* 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
  
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* 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
  
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* 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
  
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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
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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
  
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* 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
  
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* 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
  
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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
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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
  
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* 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
  
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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.
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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
  
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* 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
  
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* 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
  
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* 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
  
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* Joshua Holden and Lana Holden: Modeling Braids, Cables, and Weaves with Stranded Cellular Automata. Pages 127–134.
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* 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
  
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* Paul Gailiunas: Helical Petrie Polygons. Pages 135–140.  
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* Paul Gailiunas: Helical Petrie Polygons. In: [[Bridges 2016]], Pages 135–140. http://archive.bridgesmathart.org/2016/bridges2016-135.pdf
  
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* Reza Sarhangi: Some Girihs and Puzzles from the Interlocks of Similar or Complementary Figures Treatise. Pages 141–150.  
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* 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
  
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* [[Gary R. Greenfield]]: Turing-like Patterns from Cellular Automata. Pages 151–158.  
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* [[Gary Greenfield]]: [[Turing-like Patterns from Cellular Automata]]. In: [[Bridges 2016]], Pages 151–158. http://archive.bridgesmathart.org/2016/bridges2016-151.pdf
  
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* Tuomas Nurmi: From Checkerboard to Cloverfield: Using Wang Tiles in Seamless Non-Periodic Patterns. Pages 159–166.  
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* 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
  
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* Ron Asherov: Underlying Tiles in a 15th Century Mamluk Pattern. Pages 167–172.  
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* Ron Asherov: [[Underlying Tiles in a 15th Century Mamluk Pattern]]. In: [[Bridges 2016]], Pages 167–172. http://archive.bridgesmathart.org/2016/bridges2016-167.pdf
  
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* Zekeriya Karadag: Artefacts to Enhance Geometrical Thinking. Pages 173–178.  
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* Zekeriya Karadag: [[Artefacts to Enhance Geometrical Thinking]]. In: [[Bridges 2016]], Pages 173–178. http://archive.bridgesmathart.org/2016/bridges2016-173.pdf
  
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* Chamberlain Fong: The Conformal Hyperbolic Square and Its Ilk. Pages 179–186.  
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* <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
  
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* 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
  
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* Carolyn Lamb, Dan G. Brown and Charlie L.A. Clarke: A Taxonomy of Generative Poetry Techniques. Pages 195–202.  
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* 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
  
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* S.J. Spencer: Not only Art but also Rocket Science. Pages 203–208.  
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* S.J. Spencer: [[Not only Art but also Rocket Science]]. In: [[Bridges 2016]], Pages 203–208. http://archive.bridgesmathart.org/2016/bridges2016-203.pdf
  
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* Markus Rissanen: Hex Rosa. Pages 209–216.  
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* Markus Rissanen: [[Hex Rosa]]. In: [[Bridges 2016]], Pages 209–216. http://archive.bridgesmathart.org/2016/bridges2016-209.pdf
  
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* Robert W. Fathauer: Fractal Gaskets: Reptiles, Hamiltonian Cycles, and Spatial Development.Pages 217–224.
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* 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
  
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* Roger Burrows: Shape-Changing Polyhedra. Pages 225–232.  
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* Roger Burrows: [[Shape-Changing Polyhedra]]. In: [[Bridges 2016]], Pages 225–232. http://archive.bridgesmathart.org/2016/bridges2016-225.pdf
  
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* James Mai: Planes and Frames: Spatial Layering in Josef Albers' Homage to the Square Paintings. Pages 233–240.  
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* 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
  
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* Jay Zimmerman: Portraits of Groups on Bordered Surfaces. Pages 241–246.  
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* Jay Zimmerman: [[Portraits of Groups on Bordered Surfaces]]. In: [[Bridges 2016]], Pages 241–246. http://archive.bridgesmathart.org/2016/bridges2016-241.pdf
  
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* Lali Barrière and Anna Carreras: Genera Esfera: Interacting with a Trackball Mapped onto a Sphere to Explore Generative Visual Worlds. Pages 247–254.  
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* 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
  
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* Tiina Katriina Kukkonen: Circular Forms in Aleksis Kivi's Texts. Pages 255–262.  
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* 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
  
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* Dirk Huylebrouck: Euler-Cayley Formula for ‘Unusual’ Polyhedra. Pages 263–268.  
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* Dirk Huylebrouck: Euler-Cayley Formula for ‘Unusual’ Polyhedra. In: [[Bridges 2016]], Pages 263–268. http://archive.bridgesmathart.org/2016/bridges2016-263.pdf
  
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* Paul Moerman: Dancing Math: Teaching and Learning in the Intersection of Aesthetic and Mathematical Literacy. Pages 269–276.  
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* 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
  
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* 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. Pages 277–284.  
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* 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
  
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* Matthew Thomas and Crystal Peebles: A Graph-Theoretic Approach to the Analysis of Contra Dances. Pages 285–292.  
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* 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
  
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* Vincent J. Matsko: Koch-Like Fractal Images. Pages 293–300.  
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* Vincent J. Matsko: Koch-Like Fractal Images. In: [[Bridges 2016]], Pages 293–300. http://archive.bridgesmathart.org/2016/bridges2016-293.pdf
  
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* Mahsa Kharazmi: A Study on Geometric Constructions on Brickwork Decorations in Iranian Architecture. Pages 301–308.  
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* 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
  
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The Rhythm of a Pattern
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* Sama Mara. The Rhythm of a Pattern. In: [[Bridges 2016]], Pages 309–316. http://archive.bridgesmathart.org/2016/bridges2016-309.pdf
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Sama Mara
 
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Pages 309–316
 
  
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The Analysis of the Geometric Decorations of the Stone Half-Columns of Friday Mosque of Isfahan
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* 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
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Molude Noori and Qobad Kiyanmehr
 
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Pages 317–324
 
  
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Another look at Pentagonal Persian Patterns
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* Jean-Marc Castera: [[Another look at Pentagonal Persian Patterns]]. In: [[Bridges 2016]], Pages 325–330. http://archive.bridgesmathart.org/2016/bridges2016-325.pdf
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Jean-Marc Castera
 
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Pages 325–330
 
  
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Geometric Patterns as Material Things: The Making of Seljuk Patterns on Curved Surfaces
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* 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
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Begüm Hamzaoğlu and Mine Özkar
 
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Pages 331–336
 
  
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Colors and Incomputability
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* Donald Spector: [[Colors and Incomputability]]. In: [[Bridges 2016]], Pages 337–344. http://archive.bridgesmathart.org/2016/bridges2016-337.pdf
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Donald Spector
 
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Pages 337–344
 
  
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Strictly Coding: Connecting Mathematics and Music through Digital Making
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* 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
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Pam Burnard, Zsolt Lavicza and Carrie Anne Philbin
 
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Pages 345–350
 
  
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A Bridges Center for Mathematical Connections in Art and Science
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* 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
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Sujan Shrestha and Reza Sarhangi
 
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Pages 351–354
 
  
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Constructing Meaning Through Making and Creating
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* 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
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Gail Tang and Alan Tollefson
 
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Pages 355–358
 
  
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Prime Portraits
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* Zachary Abel: Prime Portraits. In: [[Bridges 2016]], Pages 359–362. http://archive.bridgesmathart.org/2016/bridges2016-359.pdf
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Zachary Abel
 
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Pages 359–362
 
  
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Phylogenetic Analysis of the Ancient Greek Paeonic Rhythms
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* 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
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Godfried T. Toussaint
 
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Pages 363–366
 
  
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A New Algorithm for Rendering Kissing Schottky Groups
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* 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
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Kento Nakamura and Kazushi Ahara
 
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Pages 367–370
 
  
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Beautification of Islamic Patterns via Constraint Satisfaction
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* 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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Yongquan Lu and Erik D. Demaine
 
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Pages 371–374
 
  
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Molecular Modeling of Four-Connected Zeolite Frameworks with Mathematical Beading
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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
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Chia-Chin Tsoo and Bih-Yaw Jin
 
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Pages 375–378
 
  
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Generalized Brunes Stars and System of Pythagorean Triples
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* Dmitri Kozlov: Generalized Brunes Stars and System of Pythagorean Triples. In: [[Bridges 2016]], Pages 379–382. http://archive.bridgesmathart.org/2016/bridges2016-379.pdf
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Dmitri Kozlov
 
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Pages 379–382
 
  
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Knight Mazes
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* Mike Naylor: Knight Mazes. In: [[Bridges 2016]], Pages 383–386. http://archive.bridgesmathart.org/2016/bridges2016-383.pdf
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Mike Naylor
 
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Pages 383–386
 
  
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Mathematikon: A Mathematical Shopping Center
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* 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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Bianca Violet and Andreas Matt
 
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Pages 387–390
 
  
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Lights Out Animations
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* Robert Bosch: Lights Out Animations. In: [[Bridges 2016]], Pages 391–394. http://archive.bridgesmathart.org/2016/bridges2016-391.pdf
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Robert Bosch
 
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Pages 391–394
 
  
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A Recursion in Knitting
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* Susan Goldstine: A Recursion in Knitting. In: [[Bridges 2016]], Pages 395–398. http://archive.bridgesmathart.org/2016/bridges2016-395.pdf
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Susan Goldstine
 
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Pages 395–398
 
  
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Polyhedral Tableaux
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* Kenneth Brecher: [[Polyhedral Tableaux]]. In: [[Bridges 2016]], Pages 399–402. http://archive.bridgesmathart.org/2016/bridges2016-399.pdf
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Kenneth Brecher
 
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Pages 399–402
 
  
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Gödel, Escher, Bach: Just Another Braid
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* 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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Hans Kuiper and Walt van Ballegooijen
 
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Pages 403–406
 
  
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A Musical Polyhedron Updated for the 21st Century
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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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Cathleen O'Neil
 
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Pages 407–410
 
  
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Organic 3D Mesh Creation Through Particle-Based Physics Simulation
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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
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Sage Jenson
 
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Pages 411–414
 
  
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Pied de Pulse: Packing Embroidered Circles and Coil Actuators in Pied de Poule (Houndstooth)
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* 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
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Loe Feijs and Marina Toeters
 
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Pages 415–418
 
  
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Digital Mechanics and The Rolling Coin Clock
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* 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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Bjarne Jespersen
 
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Pages 419–422
 
  
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Bridges as an Incentive to Collaborative Works II
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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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Anusch Bayens, Carlo De Pauw, Carmen Geens, Mark Pieters, André Thomas, Alex Van Bogaert, Samuel Verbiese and Nico Willemsens
 
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Pages 423–426
 
  
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Representational Random Walks
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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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Max Grusky
 
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Pages 427–430
 
  
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A Fast Algorithm for Creating Turing-McCabe Patterns
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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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Markus Schwehm
 
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Pages 431–434
 
  
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A Zometool Model of the B-DNA
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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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László Vörös
 
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Pages 435–438
 
  
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Off the Wall: A Brief Report
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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
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Charlene Morrow
 
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Pages 439–442
 
  
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Snub Polyhedral Forms Constructed from Flexible 60-120 Degree Rhombic Tiles
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* 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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David A. Reimann
 
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Pages 443–444
 
  
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A Rose By Any Other Name...
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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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Gregg Helt
 
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Pages 445–448
 
  
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Thoughts on Generative Art
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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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David Chappell
 
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Pages 449–452
 
  
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Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns
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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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Venera Adanova and Sibel Tari
 
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Pages 453–456
 
  
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Sculpturing Surfaces with Cartan Ribbons
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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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Matteo Raffaelli, Jakob Bohr and Steen Markvorsen
 
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Pages 457–460
 
  
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Mathematics Meets Cinema: La Figure de la Terre
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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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Osmo Pekonen and Axel Straschnoy
 
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Pages 461–464
 
  
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Prelude Op. 11, No. 1 by A. Scriabin: ICVSIM Relations
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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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Nikita Mamedov and Robert Peck
 
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Pages 465–468
 
  
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Sections of Coxeter Orbihedra
+
* 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
−
Motiejus Valiunas, Emilio Zappa and Briony Thomas
 
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Pages 469–472
 
  
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A Successful Art&Math Exhibition with Workshops II
+
* 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
−
Gisèle De Meur and Samuel Verbiese
 
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Pages 473–476
 
  
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Novel Textile Knot Designs Through Mathematical Knot Diagrams
+
* 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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Nithikul Nimkulrat and Janette Matthews
 
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Pages 477–480
 
  
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Chladni Figures Revisited: A Peek Into The Third Dimension
+
* 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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Martin Skrodzki, Ulrich Reitebuch and Konrad Polthier
 
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Pages 481–484
 
  
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L-System Nomographs: Aesthetics to Calculation
+
* 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
−
Leif Roschier and Ron Doerfler
 
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Pages 485–488
 
  
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Baton Rolling on a Series of Curved Surfaces
+
* 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
−
Akihiro Matsuura and Yuki Yamada
 
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Pages 489–492
 
  
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Texturing Coloured Images in Black and White
+
* Hank Guss: Texturing Coloured Images in Black and White. In: [[Bridges 2016]], Pages 493–496. http://archive.bridgesmathart.org/2016/bridges2016-493.pdf
−
Hank Guss
 
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Pages 493–496
 
  
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The Hendecagonal Stars in the Alhambra
+
* 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
−
Dirk Huylebrouck and Antonia Redondo
 
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Pages 497–500
 
  
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The Golden Ratio and the Diagonal of the Square
+
* 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
−
Gabriele Gelatti
 
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Pages 501–502
 
  
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The Pythagorean Theorem as a Rooted In-tree Dependency Graph
+
* 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
−
Jesse Atkinson
 
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Pages 503–506
 
  
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Polygon Spirals
+
* Nick Mendler: Polygon Spirals. In: [[Bridges 2016]], Pages 507–510. http://archive.bridgesmathart.org/2016/bridges2016-507.pdf
−
Nick Mendler
 
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Pages 507–510
 
  
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Pattern Design Using Cellular Automata and Iterative Relocation System
+
* 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
−
Jae Kyun Shin and Seung Ryul Choi
 
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Pages 511–514
 
  
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The Math and Art of Folded Books
+
* 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
−
Sharol Nau and Richard Nau
 
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Pages 515–518
 
  
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Two Non-Octave Tunings by Heinz Bohlen: A Practical Proposal
+
* 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
−
Reilly Smethurst
 
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Pages 519–522
 
  
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Repeating Fractal Patterns with 4-Fold Symmetry
+
* 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
−
Douglas Dunham and John Shier
 
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Pages 523–524
 
  
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Three-Dimensional Score: Seeing Music, Hearing Sculpture
+
* 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
−
Miika Karttunen and Atte Tenkanen
 
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Pages 525–528
 
  
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The Pentagonal Numbers Meet the Choose-4 Numbers
+
* James Morrow: The Pentagonal Numbers Meet the Choose-4 Numbers. In: [[Bridges 2016]], Pages 529–532. http://archive.bridgesmathart.org/2016/bridges2016-529.pdf
−
James Morrow
 
−
Pages 529–532
 
  
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Pointillist Graphing of Iterated Function Systems
+
* Risto A. Paju: Pointillist Graphing of Iterated Function Systems. In: [[Bridges 2016]], Pages 533–536. http://archive.bridgesmathart.org/2016/bridges2016-533.pdf
−
Risto A. Paju
 
−
Pages 533–536
 
  
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Plane-filling Curves on Transitive Grids
+
* 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
−
Jörg Arndt and Julia Handl
 
−
Pages 537–540
 
  
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The Fourth Dimension in Mathematics and Art
+
* Jean Constant: [[The Fourth Dimension in Mathematics and Art]]. In: [[Bridges 2016]], Pages 541–544. http://archive.bridgesmathart.org/2016/bridges2016-541.pdf
−
Jean Constant
 
−
Pages 541–544
 
  
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A Eulogy in Honour of Anders Johan Lexell, an 18th Century Finnish Mathematician
+
* 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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Joonas Ilmavirta and Johan C.-E. Stén
 
−
Pages 545–548
 
  
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Flatscape of Measure Polytopes
+
* Glenn C. Smith: Flatscape of Measure Polytopes. In: [[Bridges 2016]], Pages 549–552. http://archive.bridgesmathart.org/2016/bridges2016-549.pdf
−
Glenn C. Smith
 
−
Pages 549–552
 
  
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Teaching Combinatorics with “Poly-Universe”
+
* Eleonóra Stettner and György Emese: Teaching Combinatorics with “Poly-Universe”. In: [[Bridges 2016]], Pages 553–556. http://archive.bridgesmathart.org/2016/bridges2016-553.pdf
−
Eleonóra Stettner and György Emese
 
−
Pages 553–556
 
  
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Spelunking Adventure VI: An Equal Tempered Icosahedral Scale
+
* Curtis Palmer: Spelunking Adventure VI: An Equal Tempered Icosahedral Scale. In: [[Bridges 2016]], Pages 557–560. http://archive.bridgesmathart.org/2016/bridges2016-557.pdf
−
Curtis Palmer
 
−
Pages 557–560
 
  
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Some Interactive Tools for Examining Renaissance Ciphers
+
* Some Interactive Tools for Examining Renaissance Ciphers. In: [[Bridges 2016]], Pages 561–564. http://archive.bridgesmathart.org/2016/bridges2016-561.pdf
−
Alexander Boxer
 
−
Pages 561–564
 
  
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Mathematics on TV? Yes, We Can!
+
* Rogério Martins: Mathematics on TV? Yes, We Can! In: [[Bridges 2016]], Pages 565–566. http://archive.bridgesmathart.org/2016/bridges2016-565.pdf
−
Rogério Martins
 
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Pages 565–566
 
  
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Teaching and Learning Basic Group Theory Through Building Models of Polyhedra
+
* 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
−
Sviatoslav Archava, Leela Goel and Erin Traister
 
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Pages 567–570
 
  
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Scales and Temperament from the Mathematical Viewpoint
+
* 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
−
Steven A. Bleiler and Ewan Kummel
 
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Pages 571–574
 
  
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Blogging Math Art
+
* Susan Happersett: [[Blogging Math Art]]. In: [[Bridges 2016]], Pages 575–578. http://archive.bridgesmathart.org/2016/bridges2016-575.pdf
−
Susan Happersett
 
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Pages 575–578
 
  
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Possibilities of the Parabola
+
* Robyn Gibson and Melissa Silk: Possibilities of the Parabola. In: [[Bridges 2016]], Pages 579–582. http://archive.bridgesmathart.org/2016/bridges2016-579.pdf
−
Robyn Gibson and Melissa Silk
 
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Pages 579–582
 
  
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Classifying Hexagonal Tilings in Islamic Architecture with a Single Numerical Parameter
+
* 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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Peter J. Lu and Eric Broug
 
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Pages 583–586
 
  
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Creating the “Discover the Art of Math” Exhibition
+
* 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
−
Kertu Saks and Aare Baumer
 
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Pages 587–590
 
  
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Why Do Mathematical Presentations Sometimes Sound Like Cookery Shows?
+
* 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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Katie McCallum
 
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Pages 591–594
 
  
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The “Dual Nature” of the Point
+
* János Szász Saxon: The “Dual Nature” of the Point. In: [[Bridges 2016]], Pages 595–596. http://archive.bridgesmathart.org/2016/bridges2016-595.pdf
−
János Szász Saxon
 
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Pages 595–596
 
  
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Mathematics Through the Matrix of Poetry
+
* Tom Petsinis: Mathematics Through the Matrix of Poetry. In: [[Bridges 2016]], Pages 597–600. http://archive.bridgesmathart.org/2016/bridges2016-597.pdf
−
Tom Petsinis
 
−
Pages 597–600
 
  
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Modelling Environmental Problem-Solving Through STEAM Activities: 4Dframe's Warka Water Workshop
+
* 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
−
Kristóf Fenyvesi, Ho-Gul Park, Taeyoung Choi, Kwangcheol Song and Seungsuk Ahn
 
−
Pages 601–608
 
  
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Rhombic Triacontahedron Puzzle
+
* George Hart and Elisabeth Heathfield: Rhombic Triacontahedron Puzzle. In: [[Bridges 2016]], Pages 609–614. http://archive.bridgesmathart.org/2016/bridges2016-609.pdf
−
George Hart and Elisabeth Heathfield
 
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Pages 609–614
 
  
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Fractal Flipbooks
+
* Andrea Hawksley and Scott Duke Kominers: Fractal Flipbooks. In: [[Bridges 2016]], Pages 615–620. http://archive.bridgesmathart.org/2016/bridges2016-60115.pdf
−
Andrea Hawksley and Scott Duke Kominers
 
−
Pages 615–620
 
  
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Elliptic Paraboloids in Circumpolar Vernacular Architecture
+
* Nancy Mackin: Elliptic Paraboloids in Circumpolar Vernacular Architecture. In: [[Bridges 2016]], Pages 621–624. http://archive.bridgesmathart.org/2016/bridges2016-621.pdf
−
Nancy Mackin
 
−
Pages 621–624
 
  
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Spinning Arms in Motion: Exploring Mathematics within the Art of Figure Skating
+
* 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
−
Tetyana Berezovski, Diana Cheng and Rachel Damiano
 
−
Pages 625–628
 
  
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Exploring the Arts Online with the Wolfram Language
+
* Christopher Carlson: Exploring the Arts Online with the Wolfram Language. In: [[Bridges 2016]], Pages 629–632. http://archive.bridgesmathart.org/2016/bridges2016-629.pdf
−
Christopher Carlson
 
−
Pages 629–632
 
  
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Lumifold: a STEAM Activity
+
* Melissa Silk and Jane Martin: Lumifold: a STEAM Activity. In: [[Bridges 2016]], Pages 633–634. http://archive.bridgesmathart.org/2016/bridges2016-633.pdf
−
Melissa Silk and Jane Martin
 
−
Pages 633–634
 
  
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Dual Models: One Shape to Make Them All
+
* Mircea Draghicescu: Dual Models: One Shape to Make Them All. In: [[Bridges 2016]], Pages 635–640. http://archive.bridgesmathart.org/2016/bridges2016-635.pdf
−
Mircea Draghicescu
 
−
Pages 635–640
 
  
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Putting Your Best Foot Forward: Movement and Mathematics in College
+
* 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
−
Erik Stern and Julian Chan
 
−
Pages 641–648
 
  
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Origami as a Tool for Exploring Properties of Platonic Solids
+
* 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
−
Natalija Budinski
 
−
Pages 649–654
 
  
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(Pattern)2
+
* Liz Shreeve and Melissa Silk: (Pattern)2. In: [[Bridges 2016]], Pages 655–658. http://archive.bridgesmathart.org/2016/bridges2016-655.pdf
−
Liz Shreeve and Melissa Silk
 
−
Pages 655–658
 
  
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Euclid's Digital Elements: Straightedge and Compass Softwares as Aid for Geometrical Design
+
* 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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Vladmir Sicca
 
−
Pages 659–662
 
  
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Legerdemain: Exploring Tessellation with CatsEye
+
* <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
−
Douglas Easterly
 
−
Pages 663–666
 
  
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Similarity Drawn Freehand
+
* Teresa Downard: Similarity Drawn Freehand. In: [[Bridges 2016]], Pages 667–672. http://archive.bridgesmathart.org/2016/bridges2016-667.pdf
−
Teresa Downard
 
−
Pages 667–672
 
  
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How to Draw Perspective Directly on a 3D Plane
+
* 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
−
Tomás García Salgado
 
−
Pages 673–680
 
  
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Mathematical and Physical Properties of Rope Made for Decorative Purposes
+
* 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
−
Alexander Åström and Christoffer Åström
 
−
Pages 681–688
 
  
 
== 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 }
}

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