Bridges 2016: Unterschied zwischen den Versionen
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* Markus Rissanen: Hex Rosa. Pages 209–216. | * Markus Rissanen: Hex Rosa. Pages 209–216. | ||
| + | * Robert W. Fathauer: Fractal Gaskets: Reptiles, Hamiltonian Cycles, and Spatial Development.Pages 217–224. | ||
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| + | * Roger Burrows: Shape-Changing Polyhedra. Pages 225–232. | ||
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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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| + | * Jay Zimmerman: Portraits of Groups on Bordered Surfaces. Pages 241–246. | ||
| + | |||
| + | * Lali Barrière and Anna Carreras: Genera Esfera: Interacting with a Trackball Mapped onto a Sphere to Explore Generative Visual Worlds. Pages 247–254. | ||
| + | |||
| + | * Tiina Katriina Kukkonen: Circular Forms in Aleksis Kivi's Texts. Pages 255–262. | ||
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| + | * Dirk Huylebrouck: Euler-Cayley Formula for ‘Unusual’ Polyhedra. Pages 263–268. | ||
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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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| + | * 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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| + | * Matthew Thomas and Crystal Peebles: A Graph-Theoretic Approach to the Analysis of Contra Dances. Pages 285–292. | ||
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| + | * Vincent J. Matsko: Koch-Like Fractal Images. Pages 293–300. | ||
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| + | * Mahsa Kharazmi: A Study on Geometric Constructions on Brickwork Decorations in Iranian Architecture. Pages 301–308. | ||
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The Rhythm of a Pattern | The Rhythm of a Pattern | ||
Sama Mara | Sama Mara | ||
Pages 309–316 | Pages 309–316 | ||
| + | |||
The Analysis of the Geometric Decorations of the Stone Half-Columns of Friday Mosque of Isfahan | The Analysis of the Geometric Decorations of the Stone Half-Columns of Friday Mosque of Isfahan | ||
Molude Noori and Qobad Kiyanmehr | Molude Noori and Qobad Kiyanmehr | ||
Pages 317–324 | Pages 317–324 | ||
| + | |||
Another look at Pentagonal Persian Patterns | Another look at Pentagonal Persian Patterns | ||
Jean-Marc Castera | Jean-Marc Castera | ||
Pages 325–330 | Pages 325–330 | ||
| + | |||
Geometric Patterns as Material Things: The Making of Seljuk Patterns on Curved Surfaces | Geometric Patterns as Material Things: The Making of Seljuk Patterns on Curved Surfaces | ||
Begüm Hamzaoğlu and Mine Özkar | Begüm Hamzaoğlu and Mine Özkar | ||
Pages 331–336 | Pages 331–336 | ||
| + | |||
Colors and Incomputability | Colors and Incomputability | ||
Donald Spector | Donald Spector | ||
Pages 337–344 | Pages 337–344 | ||
| + | |||
Strictly Coding: Connecting Mathematics and Music through Digital Making | Strictly Coding: Connecting Mathematics and Music through Digital Making | ||
Pam Burnard, Zsolt Lavicza and Carrie Anne Philbin | Pam Burnard, Zsolt Lavicza and Carrie Anne Philbin | ||
Pages 345–350 | Pages 345–350 | ||
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A Bridges Center for Mathematical Connections in Art and Science | A Bridges Center for Mathematical Connections in Art and Science | ||
Sujan Shrestha and Reza Sarhangi | Sujan Shrestha and Reza Sarhangi | ||
Pages 351–354 | Pages 351–354 | ||
| + | |||
Constructing Meaning Through Making and Creating | Constructing Meaning Through Making and Creating | ||
Gail Tang and Alan Tollefson | Gail Tang and Alan Tollefson | ||
Pages 355–358 | Pages 355–358 | ||
| + | |||
Prime Portraits | Prime Portraits | ||
Zachary Abel | Zachary Abel | ||
Pages 359–362 | Pages 359–362 | ||
| + | |||
Phylogenetic Analysis of the Ancient Greek Paeonic Rhythms | Phylogenetic Analysis of the Ancient Greek Paeonic Rhythms | ||
Godfried T. Toussaint | Godfried T. Toussaint | ||
Pages 363–366 | Pages 363–366 | ||
| + | |||
A New Algorithm for Rendering Kissing Schottky Groups | A New Algorithm for Rendering Kissing Schottky Groups | ||
Kento Nakamura and Kazushi Ahara | Kento Nakamura and Kazushi Ahara | ||
Pages 367–370 | Pages 367–370 | ||
| + | |||
Beautification of Islamic Patterns via Constraint Satisfaction | Beautification of Islamic Patterns via Constraint Satisfaction | ||
Yongquan Lu and Erik D. Demaine | Yongquan Lu and Erik D. Demaine | ||
Pages 371–374 | Pages 371–374 | ||
| + | |||
Molecular Modeling of Four-Connected Zeolite Frameworks with Mathematical Beading | Molecular Modeling of Four-Connected Zeolite Frameworks with Mathematical Beading | ||
Chia-Chin Tsoo and Bih-Yaw Jin | Chia-Chin Tsoo and Bih-Yaw Jin | ||
Pages 375–378 | Pages 375–378 | ||
| + | |||
Generalized Brunes Stars and System of Pythagorean Triples | Generalized Brunes Stars and System of Pythagorean Triples | ||
Dmitri Kozlov | Dmitri Kozlov | ||
Pages 379–382 | Pages 379–382 | ||
| + | |||
Knight Mazes | Knight Mazes | ||
Mike Naylor | Mike Naylor | ||
Pages 383–386 | Pages 383–386 | ||
| + | |||
Mathematikon: A Mathematical Shopping Center | Mathematikon: A Mathematical Shopping Center | ||
Bianca Violet and Andreas Matt | Bianca Violet and Andreas Matt | ||
Pages 387–390 | Pages 387–390 | ||
| + | |||
Lights Out Animations | Lights Out Animations | ||
Robert Bosch | Robert Bosch | ||
Pages 391–394 | Pages 391–394 | ||
| + | |||
A Recursion in Knitting | A Recursion in Knitting | ||
Susan Goldstine | Susan Goldstine | ||
Pages 395–398 | Pages 395–398 | ||
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Polyhedral Tableaux | Polyhedral Tableaux | ||
Kenneth Brecher | Kenneth Brecher | ||
Pages 399–402 | Pages 399–402 | ||
| + | |||
Gödel, Escher, Bach: Just Another Braid | Gödel, Escher, Bach: Just Another Braid | ||
Hans Kuiper and Walt van Ballegooijen | Hans Kuiper and Walt van Ballegooijen | ||
Pages 403–406 | Pages 403–406 | ||
| + | |||
A Musical Polyhedron Updated for the 21st Century | A Musical Polyhedron Updated for the 21st Century | ||
Cathleen O'Neil | Cathleen O'Neil | ||
Pages 407–410 | Pages 407–410 | ||
| + | |||
Organic 3D Mesh Creation Through Particle-Based Physics Simulation | Organic 3D Mesh Creation Through Particle-Based Physics Simulation | ||
Sage Jenson | Sage Jenson | ||
Pages 411–414 | Pages 411–414 | ||
| + | |||
Pied de Pulse: Packing Embroidered Circles and Coil Actuators in Pied de Poule (Houndstooth) | Pied de Pulse: Packing Embroidered Circles and Coil Actuators in Pied de Poule (Houndstooth) | ||
Loe Feijs and Marina Toeters | Loe Feijs and Marina Toeters | ||
Pages 415–418 | Pages 415–418 | ||
| + | |||
Digital Mechanics and The Rolling Coin Clock | Digital Mechanics and The Rolling Coin Clock | ||
Bjarne Jespersen | Bjarne Jespersen | ||
Pages 419–422 | Pages 419–422 | ||
| + | |||
Bridges as an Incentive to Collaborative Works II | 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 | Anusch Bayens, Carlo De Pauw, Carmen Geens, Mark Pieters, André Thomas, Alex Van Bogaert, Samuel Verbiese and Nico Willemsens | ||
Pages 423–426 | Pages 423–426 | ||
| + | |||
Representational Random Walks | Representational Random Walks | ||
Max Grusky | Max Grusky | ||
Pages 427–430 | Pages 427–430 | ||
| + | |||
A Fast Algorithm for Creating Turing-McCabe Patterns | A Fast Algorithm for Creating Turing-McCabe Patterns | ||
Markus Schwehm | Markus Schwehm | ||
Pages 431–434 | Pages 431–434 | ||
| + | |||
A Zometool Model of the B-DNA | A Zometool Model of the B-DNA | ||
László Vörös | László Vörös | ||
Pages 435–438 | Pages 435–438 | ||
| + | |||
Off the Wall: A Brief Report | Off the Wall: A Brief Report | ||
Charlene Morrow | Charlene Morrow | ||
Pages 439–442 | Pages 439–442 | ||
| + | |||
Snub Polyhedral Forms Constructed from Flexible 60-120 Degree Rhombic Tiles | Snub Polyhedral Forms Constructed from Flexible 60-120 Degree Rhombic Tiles | ||
David A. Reimann | David A. Reimann | ||
Pages 443–444 | Pages 443–444 | ||
| + | |||
A Rose By Any Other Name... | A Rose By Any Other Name... | ||
Gregg Helt | Gregg Helt | ||
Pages 445–448 | Pages 445–448 | ||
| + | |||
Thoughts on Generative Art | Thoughts on Generative Art | ||
David Chappell | David Chappell | ||
Pages 449–452 | Pages 449–452 | ||
| + | |||
Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns | Extracting Unit Cells from Tilings with Color Symmetries: Case of Counterchange Patterns | ||
Venera Adanova and Sibel Tari | Venera Adanova and Sibel Tari | ||
Pages 453–456 | Pages 453–456 | ||
| + | |||
Sculpturing Surfaces with Cartan Ribbons | Sculpturing Surfaces with Cartan Ribbons | ||
Matteo Raffaelli, Jakob Bohr and Steen Markvorsen | Matteo Raffaelli, Jakob Bohr and Steen Markvorsen | ||
Pages 457–460 | Pages 457–460 | ||
| + | |||
Mathematics Meets Cinema: La Figure de la Terre | Mathematics Meets Cinema: La Figure de la Terre | ||
Osmo Pekonen and Axel Straschnoy | Osmo Pekonen and Axel Straschnoy | ||
Pages 461–464 | Pages 461–464 | ||
| + | |||
Prelude Op. 11, No. 1 by A. Scriabin: ICVSIM Relations | Prelude Op. 11, No. 1 by A. Scriabin: ICVSIM Relations | ||
Nikita Mamedov and Robert Peck | Nikita Mamedov and Robert Peck | ||
Pages 465–468 | Pages 465–468 | ||
| + | |||
Sections of Coxeter Orbihedra | Sections of Coxeter Orbihedra | ||
Motiejus Valiunas, Emilio Zappa and Briony Thomas | Motiejus Valiunas, Emilio Zappa and Briony Thomas | ||
Pages 469–472 | Pages 469–472 | ||
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A Successful Art&Math Exhibition with Workshops II | A Successful Art&Math Exhibition with Workshops II | ||
Gisèle De Meur and Samuel Verbiese | Gisèle De Meur and Samuel Verbiese | ||
Pages 473–476 | Pages 473–476 | ||
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Novel Textile Knot Designs Through Mathematical Knot Diagrams | Novel Textile Knot Designs Through Mathematical Knot Diagrams | ||
Nithikul Nimkulrat and Janette Matthews | Nithikul Nimkulrat and Janette Matthews | ||
Pages 477–480 | Pages 477–480 | ||
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Chladni Figures Revisited: A Peek Into The Third Dimension | Chladni Figures Revisited: A Peek Into The Third Dimension | ||
Martin Skrodzki, Ulrich Reitebuch and Konrad Polthier | Martin Skrodzki, Ulrich Reitebuch and Konrad Polthier | ||
Pages 481–484 | Pages 481–484 | ||
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L-System Nomographs: Aesthetics to Calculation | L-System Nomographs: Aesthetics to Calculation | ||
Leif Roschier and Ron Doerfler | Leif Roschier and Ron Doerfler | ||
Pages 485–488 | Pages 485–488 | ||
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Baton Rolling on a Series of Curved Surfaces | Baton Rolling on a Series of Curved Surfaces | ||
Akihiro Matsuura and Yuki Yamada | Akihiro Matsuura and Yuki Yamada | ||
Pages 489–492 | Pages 489–492 | ||
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Texturing Coloured Images in Black and White | Texturing Coloured Images in Black and White | ||
Hank Guss | Hank Guss | ||
Pages 493–496 | Pages 493–496 | ||
| + | |||
The Hendecagonal Stars in the Alhambra | The Hendecagonal Stars in the Alhambra | ||
Dirk Huylebrouck and Antonia Redondo | Dirk Huylebrouck and Antonia Redondo | ||
Pages 497–500 | Pages 497–500 | ||
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The Golden Ratio and the Diagonal of the Square | The Golden Ratio and the Diagonal of the Square | ||
Gabriele Gelatti | Gabriele Gelatti | ||
Pages 501–502 | Pages 501–502 | ||
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The Pythagorean Theorem as a Rooted In-tree Dependency Graph | The Pythagorean Theorem as a Rooted In-tree Dependency Graph | ||
Jesse Atkinson | Jesse Atkinson | ||
Pages 503–506 | Pages 503–506 | ||
| + | |||
Polygon Spirals | Polygon Spirals | ||
Nick Mendler | Nick Mendler | ||
Pages 507–510 | Pages 507–510 | ||
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Pattern Design Using Cellular Automata and Iterative Relocation System | Pattern Design Using Cellular Automata and Iterative Relocation System | ||
Jae Kyun Shin and Seung Ryul Choi | Jae Kyun Shin and Seung Ryul Choi | ||
Pages 511–514 | Pages 511–514 | ||
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The Math and Art of Folded Books | The Math and Art of Folded Books | ||
Sharol Nau and Richard Nau | Sharol Nau and Richard Nau | ||
Pages 515–518 | Pages 515–518 | ||
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Two Non-Octave Tunings by Heinz Bohlen: A Practical Proposal | Two Non-Octave Tunings by Heinz Bohlen: A Practical Proposal | ||
Reilly Smethurst | Reilly Smethurst | ||
Pages 519–522 | Pages 519–522 | ||
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Repeating Fractal Patterns with 4-Fold Symmetry | Repeating Fractal Patterns with 4-Fold Symmetry | ||
Douglas Dunham and John Shier | Douglas Dunham and John Shier | ||
Pages 523–524 | Pages 523–524 | ||
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Three-Dimensional Score: Seeing Music, Hearing Sculpture | Three-Dimensional Score: Seeing Music, Hearing Sculpture | ||
Miika Karttunen and Atte Tenkanen | Miika Karttunen and Atte Tenkanen | ||
Pages 525–528 | Pages 525–528 | ||
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The Pentagonal Numbers Meet the Choose-4 Numbers | The Pentagonal Numbers Meet the Choose-4 Numbers | ||
James Morrow | James Morrow | ||
Pages 529–532 | Pages 529–532 | ||
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Pointillist Graphing of Iterated Function Systems | Pointillist Graphing of Iterated Function Systems | ||
Risto A. Paju | Risto A. Paju | ||
Pages 533–536 | Pages 533–536 | ||
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Plane-filling Curves on Transitive Grids | Plane-filling Curves on Transitive Grids | ||
Jörg Arndt and Julia Handl | Jörg Arndt and Julia Handl | ||
Pages 537–540 | Pages 537–540 | ||
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The Fourth Dimension in Mathematics and Art | The Fourth Dimension in Mathematics and Art | ||
Jean Constant | Jean Constant | ||
Pages 541–544 | Pages 541–544 | ||
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A Eulogy in Honour of Anders Johan Lexell, an 18th Century Finnish Mathematician | A Eulogy in Honour of Anders Johan Lexell, an 18th Century Finnish Mathematician | ||
Joonas Ilmavirta and Johan C.-E. Stén | Joonas Ilmavirta and Johan C.-E. Stén | ||
Pages 545–548 | Pages 545–548 | ||
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Flatscape of Measure Polytopes | Flatscape of Measure Polytopes | ||
Glenn C. Smith | Glenn C. Smith | ||
Pages 549–552 | Pages 549–552 | ||
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Teaching Combinatorics with “Poly-Universe” | Teaching Combinatorics with “Poly-Universe” | ||
Eleonóra Stettner and György Emese | Eleonóra Stettner and György Emese | ||
Pages 553–556 | Pages 553–556 | ||
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Spelunking Adventure VI: An Equal Tempered Icosahedral Scale | Spelunking Adventure VI: An Equal Tempered Icosahedral Scale | ||
Curtis Palmer | Curtis Palmer | ||
Pages 557–560 | Pages 557–560 | ||
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Some Interactive Tools for Examining Renaissance Ciphers | Some Interactive Tools for Examining Renaissance Ciphers | ||
Alexander Boxer | Alexander Boxer | ||
Pages 561–564 | Pages 561–564 | ||
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Mathematics on TV? Yes, We Can! | Mathematics on TV? Yes, We Can! | ||
Rogério Martins | Rogério Martins | ||
Pages 565–566 | Pages 565–566 | ||
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Teaching and Learning Basic Group Theory Through Building Models of Polyhedra | Teaching and Learning Basic Group Theory Through Building Models of Polyhedra | ||
Sviatoslav Archava, Leela Goel and Erin Traister | Sviatoslav Archava, Leela Goel and Erin Traister | ||
Pages 567–570 | Pages 567–570 | ||
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Scales and Temperament from the Mathematical Viewpoint | Scales and Temperament from the Mathematical Viewpoint | ||
Steven A. Bleiler and Ewan Kummel | Steven A. Bleiler and Ewan Kummel | ||
Pages 571–574 | Pages 571–574 | ||
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Blogging Math Art | Blogging Math Art | ||
Susan Happersett | Susan Happersett | ||
Pages 575–578 | Pages 575–578 | ||
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Possibilities of the Parabola | Possibilities of the Parabola | ||
Robyn Gibson and Melissa Silk | Robyn Gibson and Melissa Silk | ||
Pages 579–582 | Pages 579–582 | ||
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Classifying Hexagonal Tilings in Islamic Architecture with a Single Numerical Parameter | Classifying Hexagonal Tilings in Islamic Architecture with a Single Numerical Parameter | ||
Peter J. Lu and Eric Broug | Peter J. Lu and Eric Broug | ||
Pages 583–586 | Pages 583–586 | ||
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Creating the “Discover the Art of Math” Exhibition | Creating the “Discover the Art of Math” Exhibition | ||
Kertu Saks and Aare Baumer | Kertu Saks and Aare Baumer | ||
Pages 587–590 | Pages 587–590 | ||
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Why Do Mathematical Presentations Sometimes Sound Like Cookery Shows? | Why Do Mathematical Presentations Sometimes Sound Like Cookery Shows? | ||
Katie McCallum | Katie McCallum | ||
Pages 591–594 | Pages 591–594 | ||
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The “Dual Nature” of the Point | The “Dual Nature” of the Point | ||
János Szász Saxon | János Szász Saxon | ||
Pages 595–596 | Pages 595–596 | ||
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Mathematics Through the Matrix of Poetry | Mathematics Through the Matrix of Poetry | ||
Tom Petsinis | Tom Petsinis | ||
Pages 597–600 | Pages 597–600 | ||
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Modelling Environmental Problem-Solving Through STEAM Activities: 4Dframe's Warka Water Workshop | Modelling Environmental Problem-Solving Through STEAM Activities: 4Dframe's Warka Water Workshop | ||
Kristóf Fenyvesi, Ho-Gul Park, Taeyoung Choi, Kwangcheol Song and Seungsuk Ahn | Kristóf Fenyvesi, Ho-Gul Park, Taeyoung Choi, Kwangcheol Song and Seungsuk Ahn | ||
Pages 601–608 | Pages 601–608 | ||
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Rhombic Triacontahedron Puzzle | Rhombic Triacontahedron Puzzle | ||
George Hart and Elisabeth Heathfield | George Hart and Elisabeth Heathfield | ||
Pages 609–614 | Pages 609–614 | ||
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Fractal Flipbooks | Fractal Flipbooks | ||
Andrea Hawksley and Scott Duke Kominers | Andrea Hawksley and Scott Duke Kominers | ||
Pages 615–620 | Pages 615–620 | ||
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Elliptic Paraboloids in Circumpolar Vernacular Architecture | Elliptic Paraboloids in Circumpolar Vernacular Architecture | ||
Nancy Mackin | Nancy Mackin | ||
Pages 621–624 | Pages 621–624 | ||
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Spinning Arms in Motion: Exploring Mathematics within the Art of Figure Skating | Spinning Arms in Motion: Exploring Mathematics within the Art of Figure Skating | ||
Tetyana Berezovski, Diana Cheng and Rachel Damiano | Tetyana Berezovski, Diana Cheng and Rachel Damiano | ||
Pages 625–628 | Pages 625–628 | ||
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Exploring the Arts Online with the Wolfram Language | Exploring the Arts Online with the Wolfram Language | ||
Christopher Carlson | Christopher Carlson | ||
Pages 629–632 | Pages 629–632 | ||
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Lumifold: a STEAM Activity | Lumifold: a STEAM Activity | ||
Melissa Silk and Jane Martin | Melissa Silk and Jane Martin | ||
Pages 633–634 | Pages 633–634 | ||
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Dual Models: One Shape to Make Them All | Dual Models: One Shape to Make Them All | ||
Mircea Draghicescu | Mircea Draghicescu | ||
Pages 635–640 | Pages 635–640 | ||
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Putting Your Best Foot Forward: Movement and Mathematics in College | Putting Your Best Foot Forward: Movement and Mathematics in College | ||
Erik Stern and Julian Chan | Erik Stern and Julian Chan | ||
Pages 641–648 | Pages 641–648 | ||
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Origami as a Tool for Exploring Properties of Platonic Solids | Origami as a Tool for Exploring Properties of Platonic Solids | ||
Natalija Budinski | Natalija Budinski | ||
Pages 649–654 | Pages 649–654 | ||
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(Pattern)2 | (Pattern)2 | ||
Liz Shreeve and Melissa Silk | Liz Shreeve and Melissa Silk | ||
Pages 655–658 | Pages 655–658 | ||
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Euclid's Digital Elements: Straightedge and Compass Softwares as Aid for Geometrical Design | Euclid's Digital Elements: Straightedge and Compass Softwares as Aid for Geometrical Design | ||
Vladmir Sicca | Vladmir Sicca | ||
Pages 659–662 | Pages 659–662 | ||
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Legerdemain: Exploring Tessellation with CatsEye | Legerdemain: Exploring Tessellation with CatsEye | ||
Douglas Easterly | Douglas Easterly | ||
Pages 663–666 | Pages 663–666 | ||
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Similarity Drawn Freehand | Similarity Drawn Freehand | ||
Teresa Downard | Teresa Downard | ||
Pages 667–672 | Pages 667–672 | ||
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How to Draw Perspective Directly on a 3D Plane | How to Draw Perspective Directly on a 3D Plane | ||
Tomás García Salgado | Tomás García Salgado | ||
Pages 673–680 | Pages 673–680 | ||
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Mathematical and Physical Properties of Rope Made for Decorative Purposes | Mathematical and Physical Properties of Rope Made for Decorative Purposes | ||
Alexander Åström and Christoffer Åström | Alexander Åström and Christoffer Åström | ||
Pages 681–688 | Pages 681–688 | ||
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== Links == | == Links == | ||
Version vom 25. Dezember 2016, 15:38 Uhr
zurück zu The Bridge Conferences: art and mathematics
Inhaltsverzeichnis
Reference
Eve Torrence, Bruce Torrence, Carlo H. Séquin, Douglas McKenna, Kristóf Fenyvesi, and Reza Sarhangi (eds.): Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Culture. Bridges Conference at the University of University of Jyväskylä, Jyväskylä, Finland. Tessellations Publishing, Phoenix, Arizona, 2016. ISBN 978-1-938664-19-9
DOI
Abstract
Extended Abstract
Reviews
Bibtex
@proceedings{bridges2016:1,
editor = {Eve Torrence, Bruce Torrence, Carlo H. Séquin, Douglas McKenna, Kristóf Fenyvesi, and Reza Sarhangi},
booktitle = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Culture},
year = {2016},
isbn = {978-1-938664-19-9},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
url = {http://bridgesmathart.org/bridges-2016/, http://de.evo-art.org/index.php?title=Bridges_2016 }
}
Table of contents
- The Editors: Front Matter
- Kirsi Peltonen: Crystal Flowers in Halls of Mirrors: Mathematics Meets Art and Architecture. In: Bridges 2016, Pages 1–8.
- Raine Koskimaa: World as Numbers: Living in an Algorithmic Culture. In: Bridges 2016, Pages 9–14.
- Saul Schleimer and Henry Segerman: Squares that Look Round: Transforming Spherical Images. In: Bridges 2016, Pages 15–24.
- Judy Holdener: Immersion in Mathematics. In: Bridges 2016, Pages 25–32.
- Rinus Roelofs: The Elevation of Coxeter's Infinite Regular Polyhedron 444444. In: Bridges 2016, Pages 33–40.
- Carlo H. Séquin: From Klein Bottles to Modular Super-Bottles. In: Bridges 2016, Pages 41–48.
- Abdalla G. M. Ahmed and Oliver Deussen: Tuti Weaving. In: Bridges 2016, Pages 49–56.
- Javier Barrallo Calonge and Luis Martín Yagüe: Fostering Creativity in the Teaching of Mathematics with Project Based Learning. In: Bridges 2016, Pages 57–64
- Andrew Simoson: The Size and Shape of Utopia. In: Bridges 2016, Pages 65–70.
- Craig S. Kaplan: Hypocycloid Juggling Patterns. In: Bridges 2016, Pages 71–78.
- Mirka Havinga and Päivi Portaankorva-Koivisto: Visual Arts and Mathematics Education: Looking for Integrative Phenomena. In: Bridges 2016, Pages 79–86
- Walt van Ballegooijen and Carlo H. Séquin: Interlinking Polyhedral Wire-Frames. In: Bridges 2016, Pages 87–96.
- Markus Hähkiöniemi, Kristóf Fenyvesi, Johanna Pöysä-Tarhonen, Mirja Tarnanen, Päivi Häkkinen, Merja Kauppinen, Anne Martin and Pasi Nieminen: Mathematics Learning through Arts and Collaborative Problem-Solving: The Princess and the Diamond-Problem. In: Bridges 2016, Pages 97–104.
- Tom Verhoeff and Koos Verhoeff: Three Mathematical Sculptures for the Mathematikon. Pages 105–110
- Karl Kattchee and Craig S. Kaplan: Combinatorial Poppies. Pages 111–118.
- Douglas M. McKenna: Tendril Motifs for Space-Filling, Half-Domino Curves. Pages 119–126.
- Joshua Holden and Lana Holden: Modeling Braids, Cables, and Weaves with Stranded Cellular Automata. Pages 127–134.
- Paul Gailiunas: Helical Petrie Polygons. Pages 135–140.
- Reza Sarhangi: Some Girihs and Puzzles from the Interlocks of Similar or Complementary Figures Treatise. Pages 141–150.
- Gary R. Greenfield: Turing-like Patterns from Cellular Automata. Pages 151–158.
- Tuomas Nurmi: From Checkerboard to Cloverfield: Using Wang Tiles in Seamless Non-Periodic Patterns. Pages 159–166.
- Ron Asherov: Underlying Tiles in a 15th Century Mamluk Pattern. Pages 167–172.
- Zekeriya Karadag: Artefacts to Enhance Geometrical Thinking. Pages 173–178.
- Chamberlain Fong: The Conformal Hyperbolic Square and Its Ilk. Pages 179–186.
- Cornelie Leopold: Geometry and Aesthetics of Pentagonal Structures in the Art of Gerard Caris. Pages 187–194.
- Carolyn Lamb, Dan G. Brown and Charlie L.A. Clarke: A Taxonomy of Generative Poetry Techniques. Pages 195–202.
- S.J. Spencer: Not only Art but also Rocket Science. Pages 203–208.
- Markus Rissanen: Hex Rosa. Pages 209–216.
- Robert W. Fathauer: Fractal Gaskets: Reptiles, Hamiltonian Cycles, and Spatial Development.Pages 217–224.
- Roger Burrows: Shape-Changing Polyhedra. Pages 225–232.
- James Mai: Planes and Frames: Spatial Layering in Josef Albers' Homage to the Square Paintings. Pages 233–240.
- Jay Zimmerman: Portraits of Groups on Bordered Surfaces. Pages 241–246.
- Lali Barrière and Anna Carreras: Genera Esfera: Interacting with a Trackball Mapped onto a Sphere to Explore Generative Visual Worlds. Pages 247–254.
- Tiina Katriina Kukkonen: Circular Forms in Aleksis Kivi's Texts. Pages 255–262.
- Dirk Huylebrouck: Euler-Cayley Formula for ‘Unusual’ Polyhedra. Pages 263–268.
- Paul Moerman: Dancing Math: Teaching and Learning in the Intersection of Aesthetic and Mathematical Literacy. Pages 269–276.
- 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.
- Matthew Thomas and Crystal Peebles: A Graph-Theoretic Approach to the Analysis of Contra Dances. Pages 285–292.
- Vincent J. Matsko: Koch-Like Fractal Images. Pages 293–300.
- Mahsa Kharazmi: A Study on Geometric Constructions on Brickwork Decorations in Iranian Architecture. 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
Links
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