group theory

Appears in 137 extracted records.

Back to Domains.

Representative papers

• Icosahedral Constructions (1998)
• A Symmetry Classification of Columns (1998)
• Symmetry, Chemistry, and Escher’s Tiles (1998)
• What is the Difference between a Banjo and a Harley-Davidson Motorcycle? Answer: You Can Tune the Harley (1998)
• The Mathematics of Steve Reich’s Clapping Music (1998)
• PHYSICS: A Search for Simplicity, Beauty and Symmetry (1999)
• Artistic Patterns in Hyperbolic Geometry (1999)
• Symmetry and Ornament (2000)
• Musical Composition as Applied Mathematics: Set Theory and Probability in Iannis Xenakis’s Herma (2000)
• Polyhedral Models in Group Theory and Graph Theory (2000)
• M. C. Escher’s Association with Scientists (2000)
• Subsymmetry Analysis and Synthesis of Architectural Designs (2000)
• Symmetries of Culture (2001)
• On the Construction of Colored Plane Crystallographic Patterns (2001)
• An Interactive Creation of Polyhedra Stellations with Various Symmetries (2001)
• Hyperbolic Islamic Patterns — A Beginning (2001)
• Study and Application of African Designs for Use in Secondary Education (2001)
• Sona Sand Drawings and Permutation Groups (2001)
• A Mathematical Look at the 7 Liberal Arts as “Humanities” (2001)
• Antisymmetry and Modularity in Ornamental Art (2001)
• Hearing With Our Eyes: The Geometry of Tonal Space (2002)
• Theory of Design (2002)
• Tessellations: A Tool for Diversity Infusions in the Curriculum (2003)
• The Mathematics of Color-Reversing Decorative Friezes: Façades of Pirgi, Greece (2003)
• Islamic Constructions: The Geometry Needed by Craftsmen (2003)
• The Mathematics of Quilting: A Quilter’s Tacit Knowledge of Symmetry, Tiling, and Group Theory (2003)
• Why Do Penrose Tilings Diffract? (2003)
• Inspired by Snowflakes: Constructing, Folding and Cutting Regular Paper Polygons to Create Art with Dihedral Symmetry (2004)
• On the Topology of Celtic Knot Designs (2004)
• A Method for Illustrating Border and Wallpaper Patterns (2005)
• An Approach in Coloring Semi-Regular Tilings on the Hyperbolic Plane (2005)
• Factor Group Transformations on Escher Patterns (2005)
• Mathematical Measures of Syncopation (2005)
• Pedagogical Principles for Teaching Art in Mathematics Courses (2005)
• Symmetries and Design Science (2005)
• Tessellations from Group Actions and the Mystery of Escher’s Solid (2005)
• Green Quaternions, Tenacious Symmetry, and Octahedral Zome (2006)
• Inference and Design in Kuba and Zillij Art with Shape Grammars (2006)
• New ways in symmetry (2006)
• Portraits of Groups (2006)
• Seville’s Real Alcázar: Are All 17 Planar Crystallographic Groups Represented Here? (2006)
• Symmetric Characteristics of Traditional Hawaiian Patterns: a Computer Model (2006)
• Teaching Design Science: An Exploration of Geometric Structures (2006)
• Towards Pedagogability of Mathematical Music Theory: Algebraic Models and Tiling Problems in computer-aided composition (2006)
• Frieze Patterns of the Alhambra (2007)
• Hyperbolic Semi-Regular Tilings and their Symmetry Properties (2007)
• Planar Symmetry with Turtles (2007)
• Shiva: Two Views of Burnside’s Lemma at Work (2007)
• Symmetric Embedding of Locally Regular Hyperbolic Tilings (2007)
• Coxeter Groups in Colored Tilings and Patterns (2008)
• Neo-Riemannian Geometry (2008)
• Coloring Uniform Honeycombs (2009)
• The Symmetry of “Circle Limit IV” and Related Patterns (2009)
• Symmetry and Transformations in the Musical Plane (2009)
• A Group Portrait on a Surface of Genus Five (2009)
• Honors Seminar: A Creative Interdisciplinary Approach for Student Exploration (2009)
• An Interdisciplinary First Seminar on Symmetry (2009)
• Geometric Transformations in Design Generation (2009)
• On Torsion Free Subgroups of p32 and Related Colored Tilings (2010)
• Mathematical Models for Argentine Tango (2010)
• My Search for Symmetrical Embeddings of Regular Maps (2010)
• Geometry as a Source of Inspiration in Contemporary Art (2011)
• Introduction to Ideal Quilts (2011)
• A Portrait of a Quadrilateral Group (2011)
• Pavimenta: A Photo Tiling Tool (2011)
• Symmetry, Marks and Meaning: Observations from Brand Identity Design (2011)
• [[papers/2011/bridges2011-563|A Group Theory Approach to (re)Constructing Sol LeWitt’s Drawing Series IV, #413]] (2011)
• Bridging Theater and Mathematics: a Mathematician’s View (2011)
• Abacaba! – Using a mathematical pattern to connect art, music, poetry and literature (2011)
• Tiling and Weaving with Permutation Functions (2012)
• Depression Glass and Nested Symmetry Groups (2012)
• Weaving Symmetry of the Philippine Northern Kankana-ey (2012)
• Point Symmetry Patterns on a Regular Hexagonal Tessellation (2012)
• Portraits of Groups in Three Dimensions (2012)
• Using Star Polygons to Understand Cyclic Group Structure (2012)
• Extension of Neo-Riemannian PLR-group to Seventh Chords (2012)
• Exploring Braids through Dance: The “Waves of Tory” Problem (2012)
• Braids: A Mathematics Documentary (2013)
• Dances of Heavenly Bodies: Dance, N-body Choreographies, and Change Ringing (2013)
• OrbiFold and Cut (2013)