Bridges 2022 cover
Bridges Aalto 2022

Helsinki and Espoo, Finland
1–5 August 2022
More information

Front matter
The Editors
Invited Papers
ORIGAMETRIA: Using Origami to Teach Geometry
Miri Golan
Pages 1–1
Mirror Symmetry Collages in Folded Paper
Paul Jackson
Pages 2–2
Stand-Up Mathematics
Matt Parker
Pages 3–3
Logic, Chaos, and Writing Science Fiction
Rudy Rucker
Pages 4–4
The Art of Inverse Problems
Samuli Siltanen
Pages 5–5
What I Learned in 25 Years Crocheting Hyperbolic Planes
Daina Taimina
Pages 6–6
Formulations: Practices of Architectural Mathematics
Andrew Witt
Pages 7–7
Do Not Erase
Jessica Wynne
Pages 8–8
Regular Papers
Gosper Sculptures Revisited
Carlo H. Séquin
Pages 9–16
Wave, Boy's Surface, and Machine
Annie Wei and Yongheng Zhang
Pages 17–24
A Sham Schwarz Surface Based on a Squircle
Chamberlain Fong and Douglas Dunham
Pages 25–32
Polyhedra with 90° Dihedral Angles
Rinus Roelofs
Pages 33–40
Constructing Wooden Polyhedra
George Hart
Pages 41–48
Quadratis Puzzles
Mario Gutiérrez, Hugo Parlier, and Paul Turner
Pages 49–56
Controlling Textures in TSP Art
Robert Bosch and Robert Klock
Pages 57–62
A Greedy Algorithm for Generative String Art
Baptiste Demoussel, Caroline Larboulette, and Ravi Dattatreya
Pages 63–70
Adjustable Duotone Mosaic Tile Brightness via Bézier Boundaries
Amy Wendt
Pages 71–78
Equations in Poetry
Sarah Glaz
Pages 79–86
Diagonal Interleaving Poetry: A New Generative Permutational Poetic Form Inspired By Error-Correcting Coding Theory
Susan Gerofsky
Pages 87–94
Measures of the Massive Mountain in Aleksis Kivi’s Play Kullervo
Tiina Katriina Kukkonen
Pages 95–102
Cutting and Sewing Riemann Surfaces in Mathematics, Physics and Clay
Nadav Drukker
Pages 103–110
Crested Cactuses and Mathematical Sculpture
Robert W. Fathauer
Pages 111–118
Single Line Apollonian Gaskets for Fashion
Loe Feijs and Marina Toeters
Pages 119–126
Decorating Polar Zonohedra with Islamic Geometric Patterns
Phil Webster
Pages 127–134
Ptolemy, the Regular Heptagon, and Quasiperiodic Tilings
Peter Stampfli and Theo P. Schaad
Pages 135–142
Penrose Tiling Arrangements of Traditional Islamic Decagonal Motifs
Jennifer E. Padilla
Pages 143–150
Beautiful Geometry: a STEAM Experience in a Professional Development Course for Mathematics Teachers
Ana Breda, Paula Carvalho, and Andreia Hall
Pages 151–158
Geoweaving: Fold-Up Baskets from Dessins d'Enfants
James Mallos
Pages 159–166
Algorithmic Approach to Triangular-Twist Tessellations: Adding spacings as a Creative Method
Ekaterina Pavlovic
Pages 167–174
Linked Knots from the Gyro Operation on the Dodecahedron
Henriette Lipschütz, Martin Skrodzki, Ulrich Reitebuch, and Konrad Polthier
Pages 175–182
Exploring Mathematics with Curvagon Tiles
Hanne Kekkonen
Pages 183–190
Triply Periodic Links
Paul Gailiunas
Pages 191–198
Conway Still Life Drawing
H.A. Verrill
Pages 199–206
Collaborative Gomoku Mosaics
Robert Bosch and Xiaoyun Gong
Pages 207–212
Spiral Based Point Cloud Representations of Sculptures
Douglas Dwyer
Pages 213–220
Chip-Firing Revisited: A Peek into the Third Dimension
Martin Skrodzki and Ulrich Reitebuch
Pages 221–228
Juggling Dancers: Passing Props and Partnering Paths
Karl Schaffer
Pages 229–236
Composite Number Polyrhythms: Animating and Sonifying the Divisor Plot
Jeffrey Ventrella
Pages 237–244
Knitting Knots & the Framing Anomaly
Nadav Drukker, Elise Paznokas, and Dominik Schrimpel
Pages 245–252
Thales' Theorem, Pythagorean Triples, and Geometric Art
Stephen R. Wassell and Mark A. Reynolds
Pages 253–260
A Self-Ruling Monotile for Aperiodic Tiling
Pierre Gradit and Vincent Van Dongen
Pages 261–268
Wallpaper Patterns with Voronoi Diagram Motifs
Jordan A. Houser
Pages 269–276
Short Papers
Closed Surface Envelopes
Richard H. Hammack
Pages 277–280
Randomizing Your Digits: Generatively Knit Mittens
Emily Dennett
Pages 281–284
Generative Zellij
Craig S. Kaplan
Pages 285–288
Spiral Ruled Surfaces
Frank A. Farris
Pages 289–292
Sonifying Games
Donald Spector
Pages 293–296
Portals to Non-Euclidean Geometries
Dorota Celińska-Kopczyńska and Eryk Kopczyński
Pages 297–300
Approximating Edge-Touching Regular Polygon Patterns Using Chain Maille
Rashmi Sunder-Raj
Pages 301–304
Drill Jigs for Wooden Ball-and-Stick Models
Bruce F. Torrence
Pages 305–308
Nice Knots
Cameron Browne
Pages 309–312
Self-Similar Quadrilateral Tilings and Deployable Scissor Grids
Henry Segerman and Kyle VanDeventer
Pages 313–316
A Book Launch in Memory of John Sharp
Eva Knoll, Felicity Wood, Paul Gailiunas, Vinay Kathotia, and Andrew Griffin
Pages 317–318
A Fish Pattern on a Regular Triply Periodic Polyhedron
Douglas Dunham and Lisa Shier
Pages 319–322
Orderly Branched Tangles Based on Carbon Nanotube Inspired by Grossman’s Sculptures
Hou-Hsun Ho and Bih-Yaw Jin
Pages 323–326
Changing Spots: Using Combinatorics to Count Japanese Braiding Patterns
Joshua Holden
Pages 327–330
Photogenic Knot Projections on n×n×n Rubik’s Cubes
David Plaxco
Pages 331–334
Generalized Pythagorean Lutes
Spencer Nicholas Whitehead
Pages 335–338
Paper Hyperbolic Sculptures
Susan Happersett
Pages 339–342
Parametric Design of a Ceiling with the Ammann-Beenker Tiling
Tatsuki Hayama, Sota Ozu, and Daisuke Tofuku
Pages 343–346
Algorithms to Construct Designs for Foundation Paper Piecing of Quilt Patchwork Layers
Anton Bakker and Tom Verhoeff
Pages 347–350
Deltoidal Kaleidoscopes
Josep Rey Nadal and Manel Udina Abelló
Pages 351–354
Capturing the Complexity of the Julia Set
Colin I. Kim
Pages 355–358
The Dodocahedron and Other Poly-fill-hedra
Andrea Hawksley
Pages 359–362
How to Tune a Stiff Sawtooth
Emily Henderson and Jordan Schettler
Pages 363–366
Visualizing Virtual Vector Fields
Othman Alrawi, Brian Day, and Sabetta Matsumoto
Pages 367–370
Alexandrov Puzzle
Kodai Takenaga and Shizuo Kaji
Pages 371–374
Grafting Tessellations for Fabric Origami
Jiangmei Wu
Pages 375–378
Polystix Sculpture Design Revisited
Anduriel Widmark
Pages 379–382
Transition Processes for Frieze Patterns
D. Jacob Wildstrom
Pages 383–386
Revisiting Ad Quadratum and Ad Triangulum to Generate Hyperbolic Tessellations
Gizem Efendioğlu and Sema Alaçam
Pages 387–390
Generating Families of Islamic Star Rosette Patterns Based on k-Uniform Tilings
Sarah Gelsinger Brewer, Marlan Zha, and Sophia Neno
Pages 391–394
Exploring Symmetry Through Portuguese Tiles in Historical Monuments
Paula Rita, Nuno Bastos, and Andreia Hall
Pages 395–398
Artistic Depiction of Numbers Defined by Sets
David A. Reimann
Pages 399–402
Prime Factorization Fractal Tilings
Santo Leonardo
Pages 403–406
Trisection of an Angle
Jo Niemeyer and Hans Walser
Pages 407–408
Rep-tile Font
Tomoko Taniguchi and Ryuhei Uehara
Pages 409–412
3D Printed Models of Wild Spheres
Lucien Grillet
Pages 413–416
Synthesizing Mathematics, Art, and Synesthesia
Felicia Tabing
Pages 417–420
Creating Auxetic Structures in Three-Dimensional Weaving
Melanie J. Olde
Pages 421–424
Architecture and Teaching: Two Websites Meet
Stephanie Nietto and Vladmir Sicca
Pages 425–428
The PhoTOP and the Art of the Spiral
Kenneth Brecher
Pages 429–432
Ideal Triangulations of Surfaces: A Comic
Alan McLeay
Pages 433–436
Abelian Sandpile Quilting Blocks
Benjamin R. Trube
Pages 437–440
Paying Homage to Folk Art Using Platonic Solids
Erna Piila
Pages 441–444
Arts and Magic Square Symmetries
Simone Brasili and Dominik Chapman
Pages 445–448
Mean Beethoven
Dirk Schlingmann
Pages 449–452
Brownian Bridges on Polygons
Tommi Sottinen
Pages 453–456
Halving Processes in a Square
Alex Van Bogaert
Pages 457–460
Exploring Music as a Geometric Object
Lior Bar, Dvir Chakim, and Shai Gul
Pages 461–464
Exploration of Drip Painting Through Swarm Robotics
Ozan Balcı and Sema Alaçam
Pages 465–466
Hypercylindrical Art
Ion Bica
Pages 467–470
Growth Forms of Grid Tilings
Peter Hilgers and Anton Shutov
Pages 471–474
Workshop Papers
How to Draw a Virtual Cubical Perspective Box
António Bandeira Araújo and Lucas Fabian Olivero
Pages 475–480
Tensegrity Polyhedra Models
Mircea Draghicescu
Pages 481–488
Wild Songs: Finding the Voice of the Land Through Imaginative, Mathematical Compositions
Jennifer Whiffin
Pages 489–492
Looping Hyperbolic Surfaces
Charlotte Megroureche, Geraldine Jones, and Ricardo Nemirovsky
Pages 493–498
Proportional Thinking and the Materiality of Monoprinting
Tam Dibley
Pages 499–506
Modular Origami Map Coloring Models
Eve Torrence
Pages 507–514