symmetry groups

Appears in 110 extracted records.

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Representative papers

• Icosahedral Constructions (1998)
• A Symmetry Classification of Columns (1998)
• Analogies from 2D to 3D Exercises in Disciplined Creativity (1999)
• Systems of Proportion in Design and Architecture and their Relationship to Dynamical Systems Theory (1999)
• Computer Generated Islamic Star Patterns (2000)
• Persian Arts: A Brief Study (2000)
• Saccades and Perceptual Geometry: Symmetry Detection through Entropy Minimization (2000)
• M. C. Escher’s Association with Scientists (2000)
• The Art and Science of Symmetric Design (2000)
• Subsymmetry Analysis and Synthesis of Architectural Designs (2000)
• A Polyhedral Byway (2001)
• On the Construction of Colored Plane Crystallographic Patterns (2001)
• 3D Visualization Models of the Regular Polytopes in Four and Higher Dimensions (2002)
• Geometric Patterns and the Interpretation of Meaning: Two Monuments in Iran (2002)
• Geometric Mosaic Tiling on Hyperbolic Sculptures (2003)
• Volution’s Evolution (2003)
• The Mathematics of Color-Reversing Decorative Friezes: Façades of Pirgi, Greece (2003)
• Symmetry to Assembly (2004)
• Star Polygon Designs of La Alhambra’s Wooden Ceilings (2004)
• Coxetering Crystals (2005)
• Donald Coxeter: The Man who Saved Geometry (2005)
• Ground Differences in Bakuba Pattern (2005)
• Pedagogical Principles for Teaching Art in Mathematics Courses (2005)
• In Search of Demiregular Tilings (2006)
• The Taming of Roelofs Polyhedra (2006)
• Some Monohedral Tilings Derived From Regular Polygons (2007)
• A Closer Look at Jamnitzer’s Polyhedra (2008)
• Interactive Demonstrations with Mathematica 6 (2008)
• Intricate Isohedral Tilings of 3D Euclidean Space (2008)
• Mathematics in Rangolee Art from India (2008)
• Polyhedra with Equilateral Heptagons (2008)
• The Borromean Rings: A Video about the New IMU Logo (2008)
• The Mathematics of Mitering and Its Artful Application (2008)
• Coloring Uniform Honeycombs (2009)
• The Eleven-Pointed Star Polygon Design of the Topkapı Scroll (2009)
• Non-Flat Tilings with Flat Tiles (2009)
• Mathematical Experiments with African Sona Designs (2009)
• Spelunking Adventure II: Combining Cyclons (2009)
• Strip Symmetry Groups of African Sona Designs (2010)
• Geometric Tools for the Magic Woodcarver (2010)
• Imaginary Cubes — Objects with Three Square Projection Images — (2010)
• Using Mathematics in Art (2010)
• Viruses and Crystals: Science Meets Design (2010)
• Minimal Flowers (2010)
• Ribbon Edges: a New Impulse for Geometric Sculpture (2010)
• Playing with the Möbius Band (2010)
• Models of Locally Regular Heptagonal Dodecahedra (2010)
• Locally and Globally Regular Toroids with Less than 16 Hexagonal Faces (2010)
• A Mad Weave Tetrahedron (2011)
• Good Stamps for Wallpaper Patterns (2011)
• Bending Hyperbolic Kaleidoscopes (2011)
• [[papers/2011/bridges2011-563|A Group Theory Approach to (re)Constructing Sol LeWitt’s Drawing Series IV, #413]] (2011)
• Proposal for a Workshop on Symmetry of Plane Patterns (2011)
• Introducing the use of the Primary Isosceles Triangles of Regular Polygons to Produce Self Similar Patterns (2012)
• Construction of Sierpiński Superfullerenes with the Aid of Zome Geometry: Application to Beaded Molecules (2013)
• Escher Patterns on Triply Periodic Polyhedra (2013)
• Flipbook Polyhedra (2013)
• Iterating Borromean Rings on a Sphere (2013)
• Patterns for Skew Mad Weave Polyhedra (2013)
• Point Symmetric Ribbon Patterns using a Hexagonal Motif from M.C. Escher (2013)
• Polyhedra with Folded Regular Heptagons (2013)
• Turtle Temari (2013)
• Dancing Deformations (2014)
• The Quaternion Group as a Symmetry Group (2014)
• Curved Islamic Star Patterns of Medieval Egypt and Syria (2015)
• Double Strip Patterns: Between Strip Patterns and Wallpaper Patterns (2015)
• Fractal Wallpaper Patterns (2015)
• Large, Symmetric, “7-Around” Hyperbolic Disks (2015)
• Real-World Tessellations (2015)
• The Curious Creativity of John Horton Conway (2015)
• Unit Origami: Star-Building on Deltahedra (2015)
• A Study on Geometric Constructions on Brickwork Decorations in Iranian Architecture (2016)
• Spelunking Adventure VI: An Equal Tempered Icosahedral Scale Using a musical metaphor to construct and navigate icosahedral domains (2016)
• Interlinking Polyhedral Wire-Frames (2016)
• Teaching and Learning Basic Group Theory through Building Models of Polyhedra (2016)
• An Algorithmic Approach to Obtain Generalized 2D Meander Patterns (2017)
• Aspects of Symmetry in Bobbin Lace (2017)
• Cartesian Lace Drawings (2017)
• Dichromatic Dances (2017)
• Interwoven Islamic Geometric Patterns (2017)