Bridges Linz 2019
Linz, Austria
16–20 July 2019
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Front matter
Invited Papers
That Is Not Art, It Is a Puzzle!
Pages 1–8
Discrete and Computational Differential Geometry for Functional Pattern Design
Pages 9–10
The Foundations of Mathematics and Art: Form, Logic, Intuition
Pages 11–11
The Seduction of Curves
Pages 12–12
Regular Papers
Walkable Curves and Knots
Pages 13–20
Exploring Szpakowski's Linear Ideas
Pages 21–28
Making A Mystic Dream of 4
Pages 29–34
Graeco-Latin Square Poems
Pages 35–42
Folding Functions: Origami Corrugations from Equations
Pages 43–50
Impossible Folding Font
Pages 51–58
Max Brücknerʼs Wunderkammer of Paper Polyhedra
Pages 59–66
Helixation
Pages 67–74
Bridges and Artists
Pages 75–82
Hyperbolization on a Squircular Continuum
Pages 83–90
Conformal Mappings of the Hyperbolic Plane to Arbitrary Shapes
Pages 91–98
Animated Isohedral Tilings
Pages 99–106
Exploring a Taxicab-based Mandelbrot-like Set
Pages 107–114
Generative Art from One-Dimensional Chip-Firing Automata
Pages 115–122
Portraits from the Family Tree of Plane-filling Curves
Pages 123–130
Puzzling plane-filling curves
Pages 131–138
A Generalization of the Chaos Game
Pages 139–146
A Family of Fern-like Ternary Complex Trees
Pages 147–154
Which Flower is It?
Pages 155–162
Reconstructing Early Islamic Geometries Applied to Surface Designs
Pages 163–170
Shape-Partitions: New Elements, New Artworks
Pages 171–178
From Seifert Surfaces to Star Cinders
Pages 179–186
Stiefel Manifolds and Polygons
Pages 187–194
Tuti-Like Interweaving
Pages 195–202
Symmetries of Intermeshed Crochet Designs
Pages 203–210
Embroidery of a Hyperbolic Fish Pattern
Pages 211–216
Deriving Baskets
Pages 217–222
Maths Craft New Zealand: An Unexpected Journey
Pages 223–230
Interlacing Mathematics and Art: Hands-on Non-Euclidean Geometry
Pages 231–238
Dancing Euclidean Proofs: Experiments and Observations in Embodied Mathematics Learning and Choreography
Pages 239–246
Three-Dimensional Symmetries in Dance and Other Movement Arts
Pages 247–254
Animated Motions of Exceptional Flexible Instances of Generically Rigid Graphs
Pages 255–262
Fractal Images from Multiple Inversion in Circles
Pages 263–270
Fun with Newton's Method
Pages 271–278
The Secret behind the Squiggles: Guitars with Optimally Curved Frets
Pages 279–286
Sound Signature Detection by Probability Density Function of Normalized Amplitudes
Pages 287–294
Mapping Diagrams and a New Visualization of Complex Functions with GeoGebra
Pages 295–302
The Planar Crystallography Groups as an Iconographic Analysis Tool in Islamic Art
Pages 303–310
Ceramics Inspired by String Theory
Pages 311–318
Dissecting a Cube as a Teaching Strategy for Enhancing Students' Spatial Reasoning: Combining Physical and Digital Resources
Pages 319–326
Impossible Pictures: When Art Helps Math Education
Pages 327–334
Short Papers
Divisible Skylines: Exploring Least Common Multiples and Divisibility through Visual Art
Pages 335–338
A Tribute to M.C. Escher in the Crop Fields of Fryslân
Pages 339–342
A Minimal Art Object with Six Horses in a Carousel
Pages 343–346
Escher's Polyhedral Models
Pages 347–350
Curve Stitching Density Plots
Pages 351–354
Citizen Art -- Collective Mathematical Art to Raise the Public Awareness of Mathematics
Pages 355–358
Sombrero Vueltiao – Weaving Mathematics
Pages 359–362
Hendecagonal Near-miss Polyhedral Cages
Pages 363–366
Images Produced via Modular Multiplicative Inverse Filters
Pages 367–370
Generalized Julia Sets: from Cantor Bouquet to Cantor Cheese
Pages 371–374
Lehmer's Dance – A Lecture Performance
Pages 375–378
Eliciting Students’ Visual-Spatial Thinking Processes in an Art Studio
Pages 379–382
The Magnified Pixel: Digitally Fabricated Prototypes at the Intersection of Art, Mathematics and Architecture
Pages 383–386
Teaching Advanced Mathematical Concepts with Origami and GeoGebra Augmented Reality
Pages 387–390
The Hairy Klein Bottle
Pages 391–394
Creating Deltahedra with Unfolded Net of Tetrahedron
Pages 395–398
Geared Jitterbugs
Pages 399–402
Exploring Raaga Improvisations of Carnatic Music with Mathematical Proof Writing
Pages 403–406
The Obtetrahedrille as a Modular Building Block for 3D Mathematical Art
Pages 407–410
Symmetry in Koloman Moser's Flächenschmuck
Pages 411–414
Extensible Structures of Interlinking SL Strands
Pages 415–418
Combining Two Pictures on a Miura Fold
Pages 419–422
Curved Crease Folds of Spherical Polyhedra with Regular Faces
Pages 423–426
Light and Geometry: An Artistic-Mathematical Experience in Primary School
Pages 427–430
Symmetry Patterns from Multiple Identically Patterned Cubes
Pages 431–432
Grid-Based Circuits from de Bruijn Sequences
Pages 433–436
Mandelshapes: Thinking Outside the Mandelbox
Pages 437–440
New Generalizations of Quadratic Julia Sets to 3D
Pages 441–444
Braids Formed by the Impression of Knots
Pages 445–448
The Pythagorean Forest
Pages 449–452
Sandpiles and Synthesizers: Listening to the Discrete Laplacian
Pages 453–456
Perception of Students in an Arts-integrated Mathematics Performance Task
Pages 457–460
Discrete Gyroid Surface
Pages 461–464
Polyhedral Music
Pages 465–468
Maths Craft in Class
Pages 469–472
Visually Synthesizing the Genotype-Phenotype Distinction in Cannabis sativa
Pages 473–476
Art and Math Using an Equally Linked Tetrahedron
Pages 477–480
Fractal Analysis of a Sequence of LSD-Influenced Self-Portraits
Pages 481–484
Regular Whitney Decompositions
Pages 485–488
Setting a Creative Math Task with SET 3D: Modeling Physical Pieces through Digital Resources
Pages 489–492
3D Printing to Address Solids of Revolution at School
Pages 493–496
Light Painting: Visualization with and through Light
Pages 497–500
Rhythm Domes: Applications of Euclid's Algorithm to Architecture
Pages 501–504
The Sum of Odd Integers Quilt
Pages 505–508
Quest for the Golden Egg
Pages 509–512
Double-layered Weaving of Infinite Bi-foldable Polyhedral Complexes
Pages 513–516
Tessellated Seven-Color Tori
Pages 517–520
Mindful Geometries: Making and Moving Inside the Icosahedron
Pages 521–524
Search for a Perfect Unequal Trapezohedron with Similar Faces
Pages 525–528
The Children's Congress at the JKU Linz: Young Researchers and Interdisciplinary Projects
Pages 529–532
Florautomata | Faunautomata
Pages 533–536
Artistic Excursions with the Sierpinski Triangle
Pages 537–540
The Surprising Symmetry Pairs of 24 Di-Oct Ochominoes Tiles
Pages 541–544
Experiencing Mathematics through Astonishment
Pages 545–548
Magritte Meets Matisse Meets Mathematics
Pages 549–552
Bead-Chain Construction Set and Interlocking Puzzle Inspired by Polyhedranes
Pages 553–556
Exploring Simple Geometries Using Beaded Jewelry
Pages 557–558
Looking at Mathematics through the Lens of a Camera
Pages 559–560
Workshop Papers
Hungry Birds – a STEAM experience
Pages 561–568
Exploring Randomness in Digital Art
Pages 569–574
Active Learning ArtMath Project in College Algebra Classes
Pages 575–582
Yo Math Is So Arty: Inspiring Creative Learning with Mathematical Internet Memes
Pages 583–586
A Shape-based Approach to Creativity and Connection Making
Pages 587–594
Exploring Kaleidocycles with LUX
Pages 595–598
Weaving Mondrian with GeoGebra
Pages 599–604
A Synthesis of Sectors
Pages 605–610
Using GeoGebra and 3D Printing for Introducing Voronoi Diagrams in School
Pages 611–614
Mathematics and Maypole Dancing
Pages 615–620
Maths in Motion: Exploring Rotational Symmetries and Triangles through Dance and Body Movement
Pages 621–628
Building Polyhedra Models for Mathematical Art Projects and Teaching Geometry
Pages 629–634
Environmental Problem-solving and Hands-on Geometry Learning through Storytelling inside a Geodesic Dome: Ice, Honey and Stardust
Pages 635–642
How to Use Prime Numbers and Periodicity to Write a Poem
Pages 643–646
Make Music Visible, Play Mathematics
Pages 647–650
The Organ Base in Origami: Teaching Mathematics and Creativity in the Elementary Classroom
Pages 651–658
A Fisheye Gyrograph: Taking Spherical Perspective for a Spin
Pages 659–664