knot theory

Appears in 90 extracted records.

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Representative papers

• Hyperseeing, Hypersculptures and Space Curves (1998)
• Hyperbolic Celtic Knot Patterns (2000)
• Visualization: From Biology to Culture (2000)
• Knots and Multiple Möbius Band Minimal Surfaces (2001)
• Each Moment a Culmination: The Poetry of Gar Bethel (2001)
• Mirror Curves (2001)
• Islamic Constructions: The Geometry Needed by Craftsmen (2003)
• Optimal Geometry as Art (2003)
• Celtic Knotwork and Knot Theory (2006)
• The Borromean Rings - A Tripartite Topological Relationship (2006)
• Fractal Knots Created by Iterative Substitution (2007)
• Connected Holes (2008)
• Intricate Isohedral Tilings of 3D Euclidean Space (2008)
• Sculpting from the Inside Out “540 Hidden Split Torus” (2008)
• The Borromean Rings: A Video about the New IMU Logo (2008)
• A New Method for Designing Iterated Knots (2009)
• Honors Seminar: A Creative Interdisciplinary Approach for Student Exploration (2009)
• Exploring Some of the Mathematical Properties of Chains (2009)
• Bridges 09 Interactive Workshop: The Geometry of Longsword and Rapper Sword Locks (2009)
• Some Three-dimensional Self-similar Knots (2010)
• Brunnian Weavings (2010)
• Borromean Rings & Three Fold Knots (2010)
• Resilient Knots and Links as Form-Finding Structures (2011)
• Polyhedral Knots and Links (2011)
• Commissioning a Bridge (2012)
• Knots as Processes in Art and Mathematics (2012)
• Crystallizing Topology in Molecular Visualizations (2012)
• Braids: A Mathematics Documentary (2013)
• Form-Finding Experiments with Resilient Cyclic Knots (2013)
• Iterating Borromean Rings on a Sphere (2013)
• Knot Designs Based on the Hexagonal Rosette (2013)
• Minimalism, Math, and Biology (2013)
• Poly-Twistor by 3D Printer Classification of 3D Tori (2013)
• Seifert Surfaces with Minimal Genus (2013)
• Triple Gear (2013)
• From Mathematical Diagrams to Knotted Textiles (2014)
• The Kinochoron: A Manipulable Wire Model of the 16-cell (2014)
• Torus Knots with Polygonal Faces (2014)
• Introducing the Möbius-Twisted Turk’s Head Knot (2015)
• Three Families of Mitered Borromean Ring Sculptures (2015)
• Constructing Meaning through Making and Creating (2016)
• Novel Textile Knot Designs through Mathematical Knot Diagrams (2016)
• Why Do Mathematical Presentations Sometimes Sound Like Cookery Shows? (2016)
• Topological Images with Modular Block Print Tiles (2017)
• ‘Dreamlinks’: Link Theory Meets Music Composition. An Introduction to Compositional Methods Related to Primary Links (2018)
• A New Family Satisfying the Intersection Graph Conjecture (2018)
• Art and Recreational Math Based on Kite-Tiling Rosettes (2018)
• Braids Formed by the Impression of Knots (2019)
• From Seifert Surfaces to Star Cinders (2019)
• Walkable Curves and Knots (2019)
• Everted Embeddings (2020)
• Infinitely Invertible Infinity (2020)
• Knotty Knits are Tangles on Tori (2020)
• Maximizing the Symmetry of Knots (2020)
• Optimizing Morton’s Tritangentless Knots for Rolling (2020)
• Single-threaded Polyhedra Models (2020)
• The Making of a Willow Trefoil Knot (2020)
• Categorizing Celtic Knot Designs (2021)
• Creativity and Rigor: A Bead Crochet Mathematics Course (2021)
• Dancing Topologically (2021)
• Polyhedral-Edge Knots (2021)
• Do Not Erase (2022)
• Knitting Knots & the Framing Anomaly (2022)
• Linked Knots from the gyro Operation on the Dodecahedron (2022)
• Nice Knots (2022)
• [[papers/2022/bridges2022-331|Photogenic Knot Projections on $n\times n\times n$ Rubik’s Cubes]] (2022)
• Implementing Textile Borromean Seifert Surfaces (2023)
• Kagome from Deltahedra (2023)
• Kinetic Knots (2023)
• Knit Knots: Large-Scale Soft Conformations of Minimum-Ropelength Knots and Links (2023)
• Math + Design: Collaborative Posters (2023)
• Oh What a Complex Rug We Weave When First We Color Then Perceive (2023)
• Realizing the Borromean Rings in Wood via Yosegi Zaiku (2023)
• Sculpting Mapping Cylinders: Seamless Crochet of Topological Surfaces (2023)
• Brunnian Ti-Links: Using Tiles to Generate Finite and Infinite Brunnian Links (2024)
• [[papers/2024/bridges2024-179|Counting a Class of Photogenic Knots on $9\times 9\times 9$ Rubik’s Cubes]] (2024)
• Danceability, Directed by Braid Index (2024)
• From Knot Diagrams to Crocheted Topological Surfaces (2024)
• Interlace Patterns Emerging in a Penrose-Type Islamic Design (2024)
• Looking for Lovely Links in Lattices (2024)