tiling theory

Appears in 109 extracted records.

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Representative papers

• Towards Visual Perception of Periodic Tilings: A Computational Model (1999)
• Computer Generated Islamic Star Patterns (2000)
• Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons (2000)
• Mirror Curves (2001)
• Composing Different Tessellation from the Same Elements (2001)
• Play with Infinity (2003)
• Quilt Designs Using Non-Edge-to-Edge Tilings by Squares (2003)
• Quilts Inspired by Mathematics (2003)
• Folding Polyhedra and Painting Mosaics (2003)
• Golomb Rep-Tiles and Fractals (2003)
• Twisted Domes (2004)
• Fractal Patterns and Pseudo-tilings Based on Spirals (2004)
• An Approach in Coloring Semi-Regular Tilings on the Hyperbolic Plane (2005)
• An Introduction to the Golden Tangram and its Tiling Properties (2005)
• Factor Group Transformations on Escher Patterns (2005)
• Fractal Tilings Based on Dissections of Polyhexes (2005)
• Some New Tilings of the Sphere with Congruent Triangles (2005)
• Some Surprising New Properties of the Spidrons (2005)
• A meditation on Kepler’s Aa (2006)
• Creating Penrose-type Islamic Interlacing Patterns (2006)
• Fractal Tilings Based on Dissections of Polyominoes (2006)
• In Search of Demiregular Tilings (2006)
• Inference and Design in Kuba and Zillij Art with Shape Grammars (2006)
• Spidron Domain The Expanding Spidron Universe (2006)
• Hyperbolic Semi-Regular Tilings and their Symmetry Properties (2007)
• Images of the Ammann-Beenker Tiling (2007)
• Patterned Polyhedra: Tiling the Platonic Solids (2007)
• The 7 Curve, Carpets, Quilts, and Other Asymmetric, Square-Filling, Threaded Tile Designs (2007)
• The Pentagram: From the Goddess to Symplectic Geometry (2007)
• Intricate Isohedral Tilings of 3D Euclidean Space (2008)
• Medieval Islamic Architecture, Quasicrystals, and Penrose and Girih Tiles: Questions from the Classroom (2008)
• Some Interesting Observations Regarding the Spidrons (2008)
• Counterchange Patterns and Polyhedra (2009)
• Tiling the Musical Canon with Augmentations of the Ashanti Rhythmic Pattern (2009)
• Text from Truchet Tiles (2009)
• Alhambra’s Nazari Single Tile Patterns Guided Tour (2010)
• Patterns from Archimedean Tilings Using Generalized Truchet Tiles Decorated with Simple Bézier Curves (2010)
• About Weaving and Helical Holes (2010)
• Curve Evolution Schemes for Parquet Deformations (2010)
• Flying Patterns (2011)
• Taking Sides, But Who’s Counting? The Decagonal Tomb Tower at Maragha (2011)
• Conformal Tiling on a Torus (2011)
• Two-color Fractal Tilings (2012)
• A Mathematica GUI for Generating Conway Tiles (2012)
• The Seven Principles of Angle Stitching — a Geometrically Based Beading Technique (2012)
• Tatami Maker: A Combinatorially Rich Mechanical Game Board (2013)
• A Plane-Filling Curve Using Ammann A5 Tiles (2014)
• Bubbles and Tilings: Art and Mathematics (2014)
• Lattice Labyrinth Tessellations (2014)
• Non-periodic Tiles Based on Ammann Set A2 Tiles (2014)
• Some Hyperbolic Fractal Tilings (2014)
• Fractal Tiling Illustrations of Geometric Series (2015)
• The Concept of Elevation applied to Flat Tiling Patterns (2015)
• Unexpected Beauty Hidden in Radin-Conway’s Pinwheel Tiling (2015)
• Underlying Tiles in a 15th Century Mamluk Pattern (2016)
• Hex Rosa (2016)
• Another Look at Pentagonal Persian Patterns (2016)
• From Checkerboard to Cloverfield: Using Wang Tiles in Seamless Non-Periodic Patterns (2016)
• Tiling Notation as Design Tool for Textile Knotting (2017)
• A Class of Spherical Penrose-Like Tilings with Connections to Virus Protein Patterns and Modular Sculpture (2018)
• Girih Tiles in 3D (2018)
• Marjorie Rice and Her Pentagonal Tilings (2018)
• Multi-Scale Truchet Patterns (2018)
• On a Better Golden Rectangle (That Is Not 61.8033…% Useless!) (2018)
• Phoenix – Symbol of Mathematics (2018)
• Animated Isohedral Tilings (2019)
• Exploring Simple Geometries Using Beaded Jewelry (2019)
• Puzzling Plane-Filling Curves (2019)
• 3D Aperiodic Girih Tiles (2020)
• A Method for Creating Dendritic Fractal Tiles (2020)
• Adapter Tiles Evolves the Girih Tile Set (2020)
• William Huff’s Parquet Deformations: Two Viennese Experiments (2020)
• Animated Map Colourings of Hinged Squares (2021)
• Infinite Quasi-Periodic Origami Tilings (2021)
• Logarithmic Spiral Tilings of Triangles (2021)
• Quasiperiodic Tilings with 12-Fold Rotational Symmetry Made of Squares, Equilateral Triangles, and Rhombi (2021)
• Space-Filling, Self-Similar Curves of Regular Pentagons, Heptagons and Other n-Gons (2021)
• A Self-Ruling Monotile for Aperiodic Tiling (2022)
• Adjustable Duotone Mosaic Tile Brightness via Bézier Boundaries (2022)
• Growth Forms of Grid Tilings (2022)