pattern design

Appears in 232 extracted records.

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Representative papers

• Origami Tessellations (1998)
• The Circle: A Paradigm for Paradox (1998)
• Towards Visual Perception of Periodic Tilings: A Computational Model (1999)
• Artistic Patterns in Hyperbolic Geometry (1999)
• Recognizable Motif Tilings Based on Post-Escher Mathematics (1999)
• Spiral Tilings (2000)
• Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons (2000)
• Generalized Koch Snowflakes (2000)
• The Art and Mathematics of Tessellation (2000)
• Hyperbolic Islamic Patterns — A Beginning (2001)
• Weaving beyond Fibonacci (2001)
• Composing Different Tessellation from the Same Elements (2001)
• Sona Sand Drawings and Permutation Groups (2001)
• 168 Butterflies on a Polyhedron of Genus 3 (2002)
• Theory and Applications of Islamic Star Patterns (2002)
• Tessellations: A Tool for Diversity Infusions in the Curriculum (2003)
• The Mathematics of Color-Reversing Decorative Friezes: Façades of Pirgi, Greece (2003)
• A Unified Theory of Proportion (2003)
• Glide Reflection and other Combined Transformations (2004)
• Tony Bomford’s Hyperbolic Hooked Rugs (2004)
• Fractal Patterns and Pseudo-tilings Based on Spirals (2004)
• A Ukrainian Easter Egg Monument Stands for Thirty Years (2005)
• Fermat’s Spiral Mandalas (2005)
• Generative Art and Aesthetics (2005)
• H.S.M. Coxeter and Tony Bomford’s Colored Hyperbolic Rugs (2005)
• Some New Tilings of the Sphere with Congruent Triangles (2005)
• Tessellation Techniques (2005)
• Three-Dimensional and Dynamic Constructions Based on Leonardo Grids (2005)
• Inference and Design in Kuba and Zillij Art with Shape Grammars (2006)
• Islamic Art: An Exploration of Pattern (2006)
• Non-Euclidean Symmetry and Indra’s Pearls (2006)
• Repeated Figures (2006)
• Sand Drawings and Gaussian Graphs (2006)
• Sashiko: the Stitched Geometry of Rural Japan (2006)
• The Arête of Line Designs (2006)
• The Gemini Family of Triangles (2006)
• The Mechanical Drawing of Cycloids, The Geometric Chuck (2006)
• Entwined Circular Rings (2007)
• Fractal Knots Created by Iterative Substitution (2007)
• “Gödel, Escher, Bach”, in other Eras (2007)
• Hyperbolic Semi-Regular Tilings and their Symmetry Properties (2007)
• Images of the Ammann-Beenker Tiling (2007)
• Imaginative Quilted Geometric Assemblages (2007)
• Art Projects (2007)
• Patterned Polyhedra: Tiling the Platonic Solids (2007)
• Some Monohedral Tilings Derived From Regular Polygons (2007)
• Structure and Form in the Design Curriculum (2007)
• Symmetric Embedding of Locally Regular Hyperbolic Tilings (2007)
• The Spirograph and Beyond (2007)
• A Guide to Creating Escher-like Bird Motif Tessellations (2008)
• Connected Holes (2008)
• Coxeter Groups in Colored Tilings and Patterns (2008)
• Background Ambiguity (2008)
• Lessons in Duality and Symmetry from M.C. Escher (2008)
• Making Patterns on the Surfaces of Swing-Hinged Dissections (2008)
• Mathematics in Rangolee Art from India (2008)
• Pull-up Patterned Polyhedra: Platonic Solids for the Classroom (2008)
• Symmetry and Transformations in the Musical Plane (2009)
• Real Tornado (2009)
• Concave Hexagons (2009)
• Mathematical Experiments with African Sona Designs (2009)
• A Myriad Shades of Green (2009)
• Spelunking Adventure II: Combining Cyclons (2009)
• Creating Islamic Patterns from Folded Shapes (2009)
• Exploring Some of the Mathematical Properties of Chains (2009)
• Viruses and Crystals: Science Meets Design (2010)
• Hyperbolic Vasarely Patterns (2010)
• Specialties of Models of the 6-dimensional Cube (2010)
• Exploring Symmetry in Elementary Schools (2010)
• Patterns from Archimedean Tilings Using Generalized Truchet Tiles Decorated with Simple Bézier Curves (2010)
• The Sunflower Spiral and the Fibonacci Metric (2010)
• Tile Color Matching Using Simple Universal Cycles (2010)
• Escher-type Tessellations and Pull-up Polyhedra: Creative Learning for the Classroom (2010)
• Tiled Torus Quilt with changing tiles (2010)
• Curve Evolution Schemes for Parquet Deformations (2010)
• Flying Patterns (2011)
• Symmetry Orbits: When Artists and Mathematicians Disagree (2011)
• Good Stamps for Wallpaper Patterns (2011)
• Creative Circle Design (2011)
• Bending Hyperbolic Kaleidoscopes (2011)