Bridges 2021 Program

All talks will be held as Zoom meetings. They will be accessible by direct links, or by entering the designated room in Gather and joining the meeting linked there. We encourage you to come to the informal social time on August 1st to practice using these technologies. Registration closed on July 30th. We have emailed PDF guides for accessing the conference to all registered participants (and will send another copy to catch those who registered close to the deadline). If you haven’t received your guide, check your spam folder for a message from Bridges.

All Regular, Short, and Workshop papers are freely available on the Bridges Archive. For some papers, authors have created pre-recorded talks or other materials in lieu of a live presentation. To see these materials, visit the Show-and-Tell area on Gather or browse the list at the bottom of this page.

All times are in Eastern Daylight Time (EDT). So, for example, when Session 1 begins on Monday, August 2 at 10:00am EDT, the time will be…

  • 7:00am in San Francisco, USA
  • 3:00pm in London, UK
  • 4:00pm in Berlin, Germany
  • 5:00pm in Helsinki, Finland
  • 11:00pm in Tokyo, Japan
  • Midnight in Sydney, Australia

Please convert EDT to your local time carefully. It may help to use an online tool like timeanddate.com. Whenever possible, we plan to record sessions, and will make recordings available to registered conference participants during the conference and for a short period afterwards.

August 1

12:00–2:00 pm: Social Time / Gather Practice / Zoom Practice
Come explore the Bridges 2021 virtual site on Gather, practice entering a Zoom session, and chat with old and new friends.

August 2

10:00–11:30 am: Session 1: Regular Papers
Gather Lecture Hall / Zoom

  • 10:00–10:30 am: George Hart, “The Joy of Polar Zonohedra”
  • 10:30–11:00 am: Stepan Paul, “The Flat Klein Bottle Rendered in Curved-Crease Origami”
  • 11:00–11:30 am: Melissa van Veenendaal and Tom Verhoeff, “Pretty 3D Polygons: Exploration and Proofs”

10:00–11:30 am: Session 2: Short Papers
Gather Auditorium / Zoom

  • 10:00–10:15 am: Osmo Pekonen, Kristóf Fenyvesi and Johan Stén, “Mathematical Monuments in Finland”
  • 10:15–10:30 am: Hanne Kekkonen, “Do the Angles of a Triangle Add up to 180°?–Introducing Non-Euclidean Geometry”
  • 10:30–10:45 am: Natalija Budinski, Jelena Joksimović, Danijela Vučićević and Zsolt Lavicza, ‘Mathematical Dance Performance “Point Has No Parts”’
  • 10:45–11:00 am: Bjoern Muetzel and Nazarré Merchant, “A Geometer Quite Acrimonious–a Limerick”
  • 11:00–11:15 am: Donald Spector, “The Tower of Ha(rmo)noi”
  • 11:15–11:30 am: Larry Lesser, “Presenting Mathematical Poetry Across Disciplinary Lines”

10:00–11:30 am: Session 3: Workshop
Gather Classroom / Zoom

Antje Meier, “Bridging Aesthetics and Mathematics Education Using Photography”

Workshop preparation: Participants will need a mobile phone for taking photographs, paper and a pen.

11:30 am–12:00 pm: Break / Show-and-Tell/ Short Film Festival Gathering
Log on to the Bridges 2021 Gather site to meet up with friends, visit the Art Exhibition, visit the Show-and-Tell area, or join the Film Festival Discussion in The Glade, led by Bianca Violet.

12:00–12:45 pm: Art Exhibition Opening
Gather Galleries I, II, III

12:50–1:00 pm: Welcome and Announcements
Gather Auditorium / Zoom

1:00–2:00 pm: Invited talk—Jordan Ellenberg, “Geometry and Poetry”
Gather Auditorium / Zoom

2:00–2:30 pm: Break / Show-and-Tell / Dance Gathering
Reconvene in Gather to meet up with friends, visit the Art Exhibition, visit the Show-and-Tell area, or join the Dance Gathering in the Glade, led by Karl Schaffer.

2:30–4:00 pm: Session 4: Regular Papers
Gather Lecture Hall / Zoom

  • 2:30–3:00 pm: Roger Antonsen and Laura Taalman, “Categorizing Celtic Knot Designs”
  • 3:00–3:30 pm: Carlo H. Séquin, “Polyhedral-Edge Knots”
  • 3:30–4:00 pm: Frank Farris, “Wallpaper Patterns from Looping Strands: The Layer Groups”

2:30–4:00 pm: Session 5: Regular Papers
Gather Auditorium / Zoom

  • 2:30–3:00 pm: Hedy Hempe, “How a Willow Tube Turns into a Torus”
  • 3:00–3:30 pm: Paul Gailiunas, “Invisible Forces: Baskets without Corners”
  • 3:30–4:00 pm: Joshua Holden, ‘Markov Chains and Egyptian Tombs: Generating “Egyptian” Tablet Weaving Designs Using Mean-Reverting Processes’

2:30–4:00 pm: Session 6: Workshop
Gather Classroom / Zoom

Susan Gerofsky, S. Brackett Robertson and Veselin Jungic, “Exploring the Wurzelschnecke: Learning geometry, number and design with the Spiral of Theodorus”

Workshop preparation: Participants will need one or two sheets of paper or cardboard (large is easiest), a ruler and something to make a right angle, a pencil or pen, and scissors.

4:00–4:30 pm: Break / Show-and-Tell / Poetry Gathering
Come back to Gather to meet up with friends, visit the Art Exhibition, visit the Show-and-Tell area, or join the Poetry Gathering in the Glade, led by Sarah Glaz.

4:30–6:00 pm: Session 7: Regular Papers
Gather Classroom / Zoom

  • 4:30–5:00 pm: Eve Torrence, “Creativity and Rigor: A Bead Crochet Mathematics Course”
  • 5:00–5:30 pm: Robert Bosch and Zejian Huang, “Structured Knight’s Tours”
  • 5:30–6:00 pm: Craig Kaplan, “Animated Map Colourings of Hinged Squares”

4:30–6:00 pm: Session 8: Short Papers
Gather Lecture Hall / Zoom

  • 4:30–4:45 pm:  Rachel Hall, “Variations of the Goldberg Ground and Other Canonic Adventures”
  • 4:45–5:00 pm: Douglas Dunham and Lisa Shier, “A Papercrafted Pattern on a Triply Periodic Polyhedron”
  • 5:00–5:15 pm: Lewis Campbell, Kelly Delp and Elisabetta Matsumoto, “Bending Seams–How to Create Couture Curves”
  • 5:15–5:30 pm: David Lowry-Duda and Adam Sakareassen, “Towards flying through modular forms”
  • 5:30–5:45 pm: Katherine Seaton, “Devising a ‘purist knitting aesthetic’ six-colored Mobius band”
  • 5:45–6:00 pm: Wei-Chun Chang and Chih-Hung Yen, “Quadruple Tetrahedron Surface Tilings”

4:30–6:00 pm: Session 9: Workshop
Gather Auditorium / Zoom

Stephanie Bunn, Mary Crabb, Hilary Burns, Geraldine Jones, Charlotte Megroureche and Ricardo Nemirovsky, “Weaving Windmill Loops to Create Surfaces with Varying Curvature”

Workshop preparation: Participants will need paper, scissors, tape, ruler and pencil as well as at least 40 paper windmill loops. Directions for quickly making the loops can be found at http://archive.bridgesmathart.org/2021/bridges2021_Supplement_94.pdf

6:00–7:00 pm and beyond: Social Time
Come hang out in the Gather space to socialize. Stay as late as you like!

August 3

10:00–11:30 am: Session 10: Regular Papers
Gather Auditorium / Zoom

  • 10:00–10:30 am: Lena Polke and Jürgen Richter-Gebert, “Real-time Ornamental Calligraphic Pens”
  • 10:30–11:00 am: Tiina Katriina Kukkonen, “Ability to Measure and Count in Aleksis Kivi’s Seven Brothers”
  • 11:00–11:30 am: Vishal Chandra, Aren Martinian and Peter Atlas, “Sculptable Kaleidocycles: Visualizing Variable Cell Geometry”

10:00–11:15 am: Session 11: Short Papers
Gather Lecture Hall / Zoom

  • 10:00–10:15 am–Loe Feijs, “Constructivist Art based on the Mandelbrot Set”
  • 10:15–10:30 am: Rima Ajlouni, “Quasicrystalline Ceramics”
  • 10:30–10:45 am: Regina Bittencourt and Amada Navarrete, “Ygrography, Creating Artworks by means of Hele-Shaw’s Fluxes”
  • 10:45–11:00 am: David Reimann, “Lifelines: A Series of Artworks that Invite Contemplation on the Human Condition”
  • 11:00–11:15 am: Chris Johnson and Ian McCormack, “Computational Making via Bidirectional Parametric Modeling”

10:00–11:30 am: Session 12: Workshop
Gather Classroom / Zoom

Eva Ulbrich, Shereen Elbedewy, Julia Handl and Zsolt Lavicza, “aMazing mathematical 3D modeling”

Workshop preparation: This workshop requires a Geogebra account (available for free at https://www.geogebra.org) and the GeoGebra3D app on a mobile device (https://www.geogebra.org/m/jhcywuqw) as well as graph paper and a pen.

11:30 am–12:00 pm: Break / Show-and-Tell/ John Sharp Celebration Gathering
Log on to the Bridges 2021 Gather site to meet up with friends, visit the Art Exhibition, visit the Show-and-Tell area, or visit The Glade to join the celebration of John Sharp’s life and contributions to the world of mathematical art, led by Eva Knoll.

12:00–1:00 pm: Invited talk—Bathsheba Grossman, “Toward Algorithmic Sculpture: A Long Strange Trip”
Gather Auditorium / Zoom

1:00–1:30 pm: Break / Show-and-Tell / Math + Fashion Gathering
Reconvene in Gather to meet up with friends, visit the Art Exhibition, visit the Show-and-Tell area, or join the Math + Fashion Gathering in the Glade, led by Susan Goldstine and Uyen Nguyen.

1:30–3:00 pm: Session 13: Regular Papers
Gather Auditorium / Zoom

  • 1:30–2:00 pm: John Berglund and Craig Kaplan, “Beyond the Great 96”
  • 2:00–2:30 pm: Stefan Pautze, “Space-Filling, Self-Similar Curves of Regular Pentagons, Heptagons and Other n-Gons”
  • 2:30–3:00 pm: Ventrella Jeffrey, “Designing Fractal Curves with Five-Fold Rotational Symmetry Using the Complex Number Golden Ratio”

1:30–3:00 pm: Session 14: Regular Papers
Gather Lecture Hall / Zoom

  • 1:30–2:00 pm: Helena Verrill, “Continuous Variations of the Waterbomb Base Tessellation”
  • 2:00–2:30 pm: Uyen Nguyen, “Folding Functions II: Methods for Mathematically Manipulating Miura-ori Models”
  • 2:30–3:00 pm: Lauren Li, “String Mechanism for Polyhedral Pop-up Card Design”

1:30–3:00 pm: Session 15: Regular Papers
Gather Classroom / Zoom

  • 1:30–2:00 pm: Ulrich Reitebuch, Martin Skrodzki and Konrad Polthier, “Approximating Logarithmic Spirals by Quarter Circles”
  • 2:00–2:30 pm: Chirag Mehta, “Quadrilateral Spirals in Phase and Escheresque Art”
  • 2:30–3:00 pm: Robert Fathauer, “Logarithmic Spiral Tilings of Triangles”

3:00–3:30 pm: Break / Show-and-Tell
Come back to Gather to meet up with friends, visit the Art Exhibition, or visit the Show-and-Tell area

3:30–5:00 pm: Session 16: Regular Papers
Gather Lecture Hall / Zoom

  • 3:30–4:00 pm: David Swart, “Orange Peel Optimization”
  • 4:00–4:30 pm: Karl Schaffer, “Dancing Topologically”
  • 4:30–5:00 pm: Kerry Mitchell, “Iterated Averaging of Polygon Vertices”

3:30–5:00 pm: Session 17: Short Papers
Gather Auditorium / Zoom

  • 3:30–3:45 pm: Yongheng Zhang, “Circle Deformation in Hacon’s Sphere Eversion”
  • 3:45–4:00 pm: Shintaro Fushida-Hardy, “Crocheting an Isomorphism Between the Automorphism Groups of the Klein Quartic and Fano Plane”
  • 4:00–4:15 pm: Vladmir Sicca, “A Game of Squares and Conic Sections”
  • 4:15–4:30 pm: Leo Bleicher, “Generative Sculpture by Evolutionary Design”
  • 4:30–4:45 pm: Hou-Hsun Ho, Bih-Yaw Jin and Chern Chuang, “Constructing Bead Models of Smoothly Varying Carbon Nanotori with Constant Radii and Related Intersecting Structures”
  • 4:45–5:00 pm: Gabriel Perko-Engel and Carlo Séquin, “Infinite Quasi-Periodic Origami Tilings”

3:30–5:00 pm: Session 18: Workshop
Gather Classroom / Zoom

Stephen Erfle, “Using Archimedean Spirals to Explore Fractions”

Workshop preparation: This workshop requires a file that can be run with or without Excel. If you would like to use the Excel file it is called 10.Spirals and is available at https://blogs.dickinson.edu/playing-with-polygons/file-10/

An online version by Liam Myles that does not require Excel is available at https://www.playingwithpolygons.com/spirals.

5:00–7:00 pm: Informal Music Night
Gather Auditorium / Zoom

Informal Music Night is a long tradition at Bridges where participants offer performances that range from the polished to the homespun. Come share your love of musical performance! As we did last year, performers will introduce their pre-recorded videos, to make this a live event without risking the problems of live performance over Zoom.  

To participate, send a video in MP4 format to Frank Farris at ffarris@scu.edu by July 30, 2021 at midnight in California. Large files may be shared by Google or DropBox. Your introduction and the video should take no more than five or six minutes.

 

Other Papers

Regular Papers