Bridges 2021
Online
1–3 August 2021
More information
Front matter
Regular Papers
Creativity and Rigor: A Bead Crochet Mathematics Course
Pages 1–6
The Joy of Polar Zonohedra
Pages 7–14
Structured Knight's Tours
Pages 15–22
Animated Map Colourings of Hinged Squares
Pages 23–30
Beyond the Great 96
Pages 31–38
Mathematics in the Poetry of Sefer Yetzirah
Pages 39–46
The Flat Klein Bottle Rendered in Curved-Crease Origami
Pages 47–54
Logarithmic Spiral Tilings of Triangles
Pages 55–62
Polyhedral-Edge Knots
Pages 63–70
Wallpaper Patterns from Looping Strands: The Layer Groups
Pages 71–78
Dancing Topologically
Pages 79–86
Categorizing Celtic Knot Designs
Pages 87–94
Approximating Logarithmic Spirals by Quarter Circles
Pages 95–102
Invisible Forces: Baskets without Corners
Pages 103–110
Pretty 3D Polygons: Exploration and Proofs
Pages 111–118
Conjunction-forms: Three-Circle Combinations
Pages 119–126
The Short Tiles Category
Pages 127–134
Quadrilateral Spiral Tilings and Escheresque Art
Pages 135–140
Real-time Ornamental Calligraphic Pens
Pages 141–148
String Mechanism for Polyhedral Pop-up Card Design
Pages 149–156
Space-Filling, Self-Similar Curves of Regular Pentagons, Heptagons and Other n-Gons
Pages 157–164
Markov Chains and Egyptian Tombs: Generating “Egyptian” Tablet Weaving Designs Using Mean-Reverting Processes
Pages 165–172
Folding Functions II: Methods for Mathematically Manipulating Miura-ori Models
Pages 173–180
A Perpetual Calendar Made of LEGO® Parts
Pages 181–188
Designing Fractal Curves with Five-Fold Rotational Symmetry Using the Complex Number Golden Ratio
Pages 189–196
Iterated Averaging of Polygon Vertices
Pages 197–204
Sculptable Kaleidocycles: Visualizing Variable Cell Geometry
Pages 205–210
Euler’s polyhedron formula for tessellations
Pages 211–216
How a Willow Tube Turns Into a Torus
Pages 217–224
Continuous Variations of the Waterbomb Base Tessellation
Pages 225–232
Ability to Measure and Count in Aleksis Kivi’s Seven Brothers
Pages 233–240
Orange Peel Optimization
Pages 241–248
Short Papers
Bending Seams - How to Create Couture Curves
Pages 249–252
One-color Frieze Patterns in Friendship Bracelets: A Cross-Cultural Comparison
Pages 253–256
The Tower of Ha(rmo)noi
Pages 257–260
Variations of the Goldberg Ground and Other Canonic Adventures
Pages 261–264
Circle Deformation in Hacon’s Sphere Eversion
Pages 265–268
A Papercrafted Pattern on a Triply Periodic Polyhedron
Pages 269–272
Towards Flying Through Modular Forms
Pages 273–276
Using Inflation to Lay a P3 Tiling in Two Dimensions and Three Dimensions
Pages 277–280
Approximating Edge-Touching Regular Polygon Patterns Using Crocheted Bead Lace
Pages 281–284
Do the Angles of a Triangle Add up to 180°? - Introducing Non-Euclidean Geometry
Pages 285–288
Quasicrystalline Ceramics
Pages 289–292
Sculpture Design with Hexastix and Related Non-Intersecting Cylinder Packings
Pages 293–296
An Architectural Game of Squares and Conic Sections
Pages 297–300
Generative Sculpture by Evolutionary Design
Pages 301–304
Lifelines: A Series of Artworks that Invite Contemplation on the Human Condition
Pages 305–308
Polyhedral Approximations of the Sphere in LEGO®
Pages 309–312
Doubling the Cube—Revisited
Pages 313–314
Quasiperiodic Tilings with 12-Fold Rotational Symmetry Made of Squares, Equilateral Triangles, and Rhombi
Pages 315–318
Infinite Quasi-Periodic Origami Tilings
Pages 319–322
BenDit – A Polyhedral Sculpture from Bent Wood
Pages 323–326
Crocheting an Isomorphism Between the Automorphism Groups of the Klein Quartic and Fano Plane
Pages 327–330
Constructing Bead Models of Smoothly Varying Carbon Nanotori with Constant Radii and Related Intersecting Structures
Pages 331–334
Quadruple Tetrahedron Surface Tilings
Pages 335–338
A Periodic Sponge Surface Based on Truncated Octahedra
Pages 339–342
Mathematical Dance Performance “A Point Has No Parts”
Pages 343–346
Ygrography, Creating Artworks by means of Hele-Shaw’s Fluxes
Pages 347–350
Constructivist Art based on the Mandelbrot Set
Pages 351–354
Devising a ‘Purist Knitting Aesthetic’ Six-Colored Möbius Band
Pages 355–358
Computational Making via Bidirectional Parametric Modeling
Pages 359–362
A Geometer Quite Acrimonious - a Limerick
Pages 363–366
Mathematical Monuments in Finland
Pages 367–370
Presenting Mathematical Poetry Across Disciplinary Lines
Pages 371–374
The Art of the Celt
Pages 375–378
Genesis of an Interesting Zometool-related Lattice Geometry
Pages 379–382
Workshop Papers
Exploring the Wurzelschnecke: Learning Geometry, Number and Design with the Spiral of Theodorus
Pages 383–390
Weaving Windmill Loops to Create Surfaces with Varying Curvature
Pages 391–396
Using Archimedean Spirals to Explore Fractions
Pages 397–402
Bridging Aesthetics and Mathematics Education Using Photography
Pages 403–408
aMazing Mathematical 3D Modeling
Pages 409–412