mathematical art

Appears in 271 extracted records.

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Representative papers

• Artistic Patterns in Hyperbolic Geometry (1999)
• The Subtle Symmetry of Golden Spirals (2000)
• Self-similar Tilings Based on Prototiles Constructed from Segments of Regular Polygons (2000)
• A Polyhedral Byway (2001)
• Flatland, Curved Space: How M. C. Escher Illustrated the History of Geometry (2001)
• An Interactive Creation of Polyhedra Stellations with Various Symmetries (2001)
• Gridfield Geometry (2002)
• Exploring Algebra With Creative Designs (2002)
• 168 Butterflies on a Polyhedron of Genus 3 (2002)
• Tessellations: A Tool for Diversity Infusions in the Curriculum (2003)
• Two Perspectives on Inversion (2003)
• On Mathematics in Art (2003)
• Hamiltonian Cycles on Symmetrical Graphs (2004)
• Tony Bomford’s Hyperbolic Hooked Rugs (2004)
• (Vector) Fields of Mathematical Poetry (2005)
• Aesthetic Aspects of Venn Diagrams (2005)
• Anamorphosis.com: Computers, Mathematics and Art (2005)
• Fractal Tilings Based on Dissections of Polyhexes (2005)
• Golden Fields, Generalized Fibonacci Sequences, and Chaotic Matrices (2005)
• H.S.M. Coxeter and Tony Bomford’s Colored Hyperbolic Rugs (2005)
• Illustrating Number Sequences (2005)
• Paper Polylinks (2005)
• Recursion in Nature, Mathematics and Art (2005)
• Tessellations from Group Actions and the Mystery of Escher’s Solid (2005)
• Asymmetry vs. Symmetry in a New Class of Space-Filling Curves (2006)
• Creating Sliceforms with 3D Modelers (2006)
• Models of cubic surfaces in polyester (2006)
• More “Circle Limit III” Patterns (2006)
• Polygon Foldups in 3D (2006)
• Spidron Domain The Expanding Spidron Universe (2006)
• The Arête of Line Designs (2006)
• The Gemini Family of Triangles (2006)
• A “Circle Limit III” Calculation (2007)
• Amazing Labyrinths (2007)
• Fractal Knots Created by Iterative Substitution (2007)
• Geometric Constructions and their Arts in Historical Perspective (2007)
• Golden Fractal Trees (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)
• Sculptures which Stellarize Non-Planar Hexagons (2007)
• Some Monohedral Tilings Derived From Regular Polygons (2007)
• Spiral Developable Sculptures of Ilhan Koman (2007)
• Symmetric Embedding of Locally Regular Hyperbolic Tilings (2007)
• The 7 Curve, Carpets, Quilts, and Other Asymmetric, Square-Filling, Threaded Tile Designs (2007)
• Zany Projects: The Art of Mixing Compass with Computer (2007)
• A “Circle Limit III” Backbone Arc Formula (2008)
• A Fractal Crystal Comprised of Cubes and Some Related Fractal Arrangements of other Platonic Solids (2008)
• Can Geometry Create Art? (2008)
• Connecting the Dots: The Ins and Outs of TSP Art (2008)
• Coxeter Groups in Colored Tilings and Patterns (2008)
• Doyle Spiral Circle Packings Animated (2008)
• From Sierpinski Triangle to Fractal Flowers (2008)
• Making Patterns on the Surfaces of Swing-Hinged Dissections (2008)
• Patterning by Projection: Tiling the Dodecahedron and other Solids (2008)
• Procedural Generation of Sculptural Forms (2008)
• Sculpting from the Inside Out “540 Hidden Split Torus” (2008)
• The Mathematics of Mitering and Its Artful Application (2008)
• Using D-Forms to Create a Calder Type Mobile (2008)
• Regular 3D Polygonal Circuits of Constant Torsion (2009)
• A New Method for Designing Iterated Knots (2009)
• Spidronised Space-fillers (2009)
• Amazing Labyrinths, Further Developments (2009)
• Using Turtles and Skeletons to Display the Viewable Sphere (2009)
• A General Procedure for the Construction of Mirror Anamorphoses (2010)
• Geometric Tools for the Magic Woodcarver (2010)
• Imaginary Cubes — Objects with Three Square Projection Images — (2010)
• Brunnian Weavings (2010)
• 30 Cubes on a Rhombic Triacontahedron (2010)
• Models of Locally Regular Heptagonal Dodecahedra (2010)
• Anamorphic, Kaleidoscopic and Sculptural Mirror Reflections (2010)
• Locally and Globally Regular Toroids with Less than 16 Hexagonal Faces (2010)
• My Search for Symmetrical Embeddings of Regular Maps (2010)
• Smooth Self-Similar Curves (2011)
• From Lissajous to Pas de Deux to Tattoo: The Graphic Life of a Beautiful Loop (2011)
• The SpHidron Conjecture (2011)
• Soccer Balls (2011)
• Bending Hyperbolic Kaleidoscopes (2011)
• Just Twist, About Minimal Origami Models Based on Polyhedra Structure (2011)