Bridges Eindhoven 2025
Eindhoven, The Netherlands
14–18 July 2025
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Front matter
Invited Papers
Modular Mayhem: A Playful Gateway to Mathematical Fashion Design
Pages 1–1
Transforming 2D Materials into 3D Objects: Flexing and Stretching the Rules
Pages 2–2
Eindhoven and Escher’s Connection with the World of Mathematics
Pages 3–3
Mathemalchemy: A Mathematical and Artistic Adventure
Pages 4–4
Études in Symmetric Pattern Drawing
Pages 5–12
Duality: Connected Structures
Pages 13–20
Genuine Pretending: A Philosophy for Mathematics and Art
Pages 21–28
Regular Papers
Algorithmic Generation of Interlaced Stellations
Pages 29–36
Cube Compound Puzzles
Pages 37–44
The Unknot Game
Pages 45–52
The Story of Altair Designs and Jules Bourgoin
Pages 53–60
Knotted Strapwork Strands in a Penrose-Type Girih Pattern
Pages 61–68
Mazes and Space-Filling Self-Similar Trees
Pages 69–76
Topological Crochet
Pages 77–84
Mathematics of Times Square
Pages 85–92
Iterating Polyominoes to Create Fractal Reptiles
Pages 93–100
Holomorphic Mappings for Integrated Garment and Motif Design
Pages 101–108
Reflected Motifs in Quasiperiodic Escher-Penrose Tilings
Pages 109–116
Patterns for Practical Madweave Baskets
Pages 117–122
Paradoxical Figures That Adapt to the Viewer's Relative Position
Pages 123–130
Slide-By-Slide: Design for Disassembly through Geometric Innovation of Reversible Joints
Pages 131–138
Transforming Polygonal Objects into Multi-Functional Furniture from a Given Net
Pages 139–144
The Beauty of a Muqarnas Captured in Parameterized Software
Pages 145–152
Visualizing Black Holes and Gravitational Collapse with Digital Holography
Pages 153–160
Soccer Ball Torus: From Theory Crafting to Fibre Crafting
Pages 161–168
What Lies Beneath a Family of Aperiodic Monotilings
Pages 169–176
Tiling a Hyperbolic Pair of Pants
Pages 177–182
A Math Puzzle Art of HANAGRAM
Pages 183–190
Immersive Visualization of Flat Surfaces Using Ray Marching
Pages 191–198
Braidings from Braids and Weavings
Pages 199–206
Random Walk: A New Method for Aleatoric Musical Composition
Pages 207–214
3D Webs: Interweaving Rhythm, Geometry and Crochet
Pages 215–222
Dual-Sided Cube Mosaics: Exploring the Nature of the Rubik’s Cube through a New MDSI Solving Method
Pages 223–230
A Connection between Twine String and an Elliptic Curve
Pages 231–238
Creating Unicursal Curves Using Tiles
Pages 239–246
A Tale of Three p4g Origami Models and Local Frieze Symmetry
Pages 247–254
Exploring Variable-Based Generation of Girih Patterns: A Comparison of Radial and Polygonal Methods
Pages 255–262
Linked Penrose Tilings
Pages 263–270
Right Angle and Polyhedral String Figures
Pages 271–278
Polyrhythmic Melodies with Strange Attraction
Pages 279–284
Geometrically Regular Handle-Bodies
Pages 285–292
Visualizing and 3D Printing Colorful Maps on Surfaces
Pages 293–300
Sierpinski Gasket Approximations and Ternary Colorings
Pages 301–308
Elliptic Curves and the Hopf Fibration
Pages 309–316
How N. G. (Dick) de Bruijn Connected Mathematics and the Arts
Pages 317–324
Polygonal Tiles from Hitomezashi Patterns and Heat Equations
Pages 325–332
Picturing Automorphisms of the Fano Plane
Pages 333–340
Tessellations from Space-Filling Curves
Pages 341–348
Constructing Triangulations and Polyhedra with Dihedral Symmetry
Pages 349–356
Halftoning with Layered CMYK Color Truchet Tile Mosaics
Pages 357–364
Single-Strand, Two-Sided Cross-Stitch
Pages 365–372
Reformulating Multiplication for Mandelbrot-like Sets in 3D
Pages 373–380
Crocheting Knots with Curved Surfaces
Pages 381–386
Short Papers
Representing Infinity through Bharatanatyam
Pages 387–390
Modulor Poetry
Pages 391–394
Aelindromes: Advancing the Palindrome
Pages 395–398
Techniques for Curved-Crease Fashion
Pages 399–402
A Futurama Dance
Pages 403–406
Creating Art by Constructing Poncelet Grids and Elliptic Billiards
Pages 407–410
M.C. Escher's Word-Puzzle Wrapping Paper for De Bijenkorf
Pages 411–414
Sliver Fiber Printer: Sequence Coloring on Yarn
Pages 415–418
A Versatile Octagonal Beam and V-Piece to Create Sculptures
Pages 419–422
Designing for Fashion with the Van der Pol Equation
Pages 423–426
The Perspective Box and Computer Graphics
Pages 427–430
Artistic Nets to Create Ribboned Regular Tetrahedrons
Pages 431–434
Collaboration on a Mathematical Sarasvati Allegory
Pages 435–438
Algorithms. Anamorphoses. Anomalies: Using Mathematics to Make a Dance Performance
Pages 439–442
Drawing and Mathematics in Art Education and Design: Interdisciplinary Approaches to Geometry
Pages 443–446
Mathematical Puzzles in Public Spaces on the Example of PoRachunki Warszawskie and PoRachunki w Łazienkach
Pages 447–450
Dilute Hitomezashi on the Isometric Grid
Pages 451–454
Designing Jigsaw Lamps
Pages 455–458
Beyond the Box: Cardboard Math-Art
Pages 459–462
Spiky Soccer Balls: Generalized Polar Zonohedral Clusters
Pages 463–466
Fabric Origami Based on an 8-Fold Rotational Symmetric Tessellation with Irregular Polygons and Multi-Valent Vertices
Pages 467–470
Danceability of Twisted Virtual Knots
Pages 471–474
Classical Optics for Charged Black Holes
Pages 475–478
Vishnupad Temple Rangoli as a Potential Stimulus for Geometrical Thinking
Pages 479–482
The Creation of Ruled Surfaces in a Hall of Mirrors
Pages 483–486
On the Hunt for Flexible Polyhedra
Pages 487–490
Two Sculptures Based on Cyclides That Feature Inverted Villarceau Circles
Pages 491–494
The Sound of Teaching: Soundtracks for Unit Plans in Mathematics
Pages 495–498
Carving Complexity: Expressing Interwoven Geometric Structures in Wood
Pages 499–502
Changing the Topology of Polyominoids Through Rigid Origami
Pages 503–506
Creating Variation When Building Image Generation Datasets
Pages 507–510
From Triangles to Pentagons
Pages 511–514
Six Platonic Bubbles, or Regular Bubble Shapes Conforming to Joseph Plateau's Rules, 1873
Pages 515–518
Derivatives Hidden in Word Puzzles
Pages 519–522
Finding 3D Lattice Paths Exhibiting Knotted Optical Illusions
Pages 523–526
Algorithmic Figurative Tree Structures
Pages 527–530
Squiggle Orbs: Segmented-Torus Truchet Tilings of the Sphere
Pages 531–534
Transformable Surface Mechanism with Single Scissors Units
Pages 535–538
Strings Attached: A Balinese Dance from Attentional Anchors to Auxiliary Constructions
Pages 539–542
Middle School Classroom Explorations of Polyhex and Polyomino Fitting Puzzles
Pages 543–546
Magnetic Generalized Residue Designs
Pages 547–550
Optical 3D Anamorphosis in the System of Tetrahedron and Stellated Octahedron
Pages 551–554
Icosahedral Quasicrystal Folded Paper Strip Spheres
Pages 555–558
A Single Stitch
Pages 559–562
Smooth-Rolling Knots
Pages 563–566
Fold-and-Cut Lines for the Hat, Turtle, and Spectre Tiles
Pages 567–570
Hyperboloid on a Circular Knitting Machine
Pages 571–574
Workshop Papers
Mathematical Magic: Connecting Wonder, Creativity and Learning
Pages 575–580
Exploring an Open Question About Magic Squares and Classical Labyrinth Seed Patterns
Pages 581–588
Writing a Mathematical Art Manifesto
Pages 589–594
Exploring Math Illustrations: Draw, Deduce, Discuss!
Pages 595–602
Using the Golden Ratio to Construct Poems
Pages 603–608
The Topology of Movement: Exploring Spatial Orientation through Puppetry
Pages 609–616
Mathematics as Aesthetic Experience: Exploring Geometry through Dance, Drawing, and Literature with Children
Pages 617–624
Circling Infinity: String Art with Rational Numbers
Pages 625–632
TurtleStitch: Exploring Shapes and Curves with Coded Embroidery
Pages 633–638
Workshop on Impossible Paper Folding: Curves Over Pleats
Pages 639–646
Rectified Cubic Honeycomb using Origami
Pages 647–650
The Aesthetics of Mutual Support: Geoband Polyhedra Workshop
Pages 651–658