tilings

Appears in 47 extracted records.

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Representative papers

• Quilted Symmetry (2001)
• THE POETRY OF INFINITY (2001)
• Three Traditions of Self-Similarity in Fourteenth and Fifteenth Century Islamic Geometric Ornament (2003)
• Finding the Dual of the Tetrahedral-Octahedral Space Filler (2003)
• The Mathematics of Quilting: A Quilter’s Tacit Knowledge of Symmetry, Tiling, and Group Theory (2003)
• Glide Reflection and other Combined Transformations (2004)
• Playing Musical Tiles (2006)
• Tiled Artworks Based on the Goldbach Conjecture (2006)
• Entwined Circular Rings (2007)
• Connected Holes (2008)
• Viruses and Crystals: Science Meets Design (2010)
• Exploring Symmetry in Elementary Schools (2010)
• Types of Repetition and Multistable Perception in the Frieze Patterns on the Marble Pavement of the Cathedral of Siena (2010)
• Opt Art: Special Cases (2011)
• Unusual Tilings and Transformations (2011)
• Decorating Regular Tiles with Arcs (2011)
• Cubic Fuzzy Precision: Tau-scaled Fractals from Plain-vanilla Pentagrids (2011)
• The Geometry of Paradise Flowers (2011)
• Tiles and Patterns of a Field: From Byzantine Churches to User Interface Design (2012)
• A 7-Fold System for Creating Islamic Geometric Patterns Part 1: Historical Antecedents (2012)
• Building the Schwarz D-Surface from Paper Tiles (2012)
• Multidimensional Impossible Polycubes (2013)
• Real-World Tessellations (2015)
• (Pattern)² (2016)
• Mathematics Learning through Arts and Collaborative Problem-Solving: the Princess and the Diamond-Problem (2016)
• Cartesian Lace Drawings (2017)
• HyperRogue: Playing with Hyperbolic Geometry (2017)
• Interwoven Islamic Geometric Patterns (2017)
• Thinking Visually: Triangles as Units of Area (2017)
• Play Truchet: Using the Truchet Tiling to Engage the Public with Mathematics (2018)
• Maths Craft New Zealand: An Unexpected Journey (2019)
• Reconstructing Early Islamic Geometries Applied To Surface Designs (2019)
• Near-miss Star Patterns (2020)
• Approximating Edge-Touching Regular Polygon Patterns Using Crocheted Bead Lace (2021)
• Beyond the Great 96 (2021)
• Generating Families of Islamic Star Rosette Patterns Based on k-Uniform Tilings (2022)
• Generative Zellij (2022)
• [[papers/2023/bridges2023-397|Automatic Origami Crease Pattern Generation from $k$-uniform Tilings]] (2023)
• Kagome from Deltahedra (2023)
• Rotated Grids for Origami Tessellation Pattern Alignment (2024)
• Artistic Nets to Create Ribboned Regular Tetrahedrons (2025)
• Braidings from Braids and Weavings (2025)
• Creating Unicursal Curves Using Tiles (2025)
• Drawing and Mathematics in Art Education and Design: Interdisciplinary Approaches to Geometry (2025)
• Duality: Connected Structures (2025)
• Halftoning with Layered CMYK Color Truchet Tile Mosaics (2025)
• Soccer Ball Torus: From Theory Crafting to Fibre Crafting (2025)