symmetry analysis

Appears in 53 extracted records.

Back to Methods.

Representative papers

• Icosahedral Constructions (1998)
• Hyperseeing, Hypersculptures and Space Curves (1998)
• Artistic Patterns in Hyperbolic Geometry (1999)
• Symmetry and Ornament (2000)
• Mirror Curves (2001)
• RECONSTRUCTION OF ORNAMENTS (2001)
• Why Do Penrose Tilings Diffract? (2003)
• Constructing and Classifying Designs of al-Andalus (2003)
• A Geometric Analysis of the Seven Heavens (2005)
• An Approach in Coloring Semi-Regular Tilings on the Hyperbolic Plane (2005)
• Two Results Concerning the Zome Model of the 600-Cell (2005)
• Green Quaternions, Tenacious Symmetry, and Octahedral Zome (2006)
• Patterns on the Genus-3 Klein Quartic (2006)
• Seville’s Real Alcázar: Are All 17 Planar Crystallographic Groups Represented Here? (2006)
• Symmetric Characteristics of Traditional Hawaiian Patterns: a Computer Model (2006)
• Symmetric Embedding of Locally Regular Hyperbolic Tilings (2007)
• The Eleven-Pointed Star Polygon Design of the Topkapı Scroll (2009)
• The Symmetry of “Circle Limit IV” and Related Patterns (2009)
• Symmetry and Transformations in the Musical Plane (2009)
• The Color Symmetries of the Solstices: Ritual Sandals from the Prehistoric American Southwest (2012)
• Geometric Analysis of Forumad Mosques’ Ornaments (2013)
• Iterating Borromean Rings on a Sphere (2013)
• One Mucuboctahedron: Four Ways to View It (2013)
• Patterns for Skew Mad Weave Polyhedra (2013)
• Color Symmetry in the Hand Woven Mats of the Jama Mapun (2014)
• Complex Polynomial Mandalas and their Symmetries (2014)
• Geometric Study of Architectural Designs on a Twelfth Century Structure (2014)
• Lattice Labyrinth Tessellations (2014)
• Mathematics through the Lens of a Kaleidoscope: A Student Centered Approach to Building Bridges between Mathematics and Art (2015)
• Soccer Ball Symmetry (2015)
• Theory of Intersection (2015)
• Unit Origami: Star-Building on Deltahedra (2015)
• Underlying Tiles in a 15th Century Mamluk Pattern (2016)
• Artwork Inspired by Dual Dodecahedra and Icosahedra (2017)
• Dichromatic Dances (2017)
• Folding the Vesica Piscis (2018)
• The Beauty of the Symmetric Sierpinski Relatives (2018)
• Discrete Gyroid Surface (2019)
• Symmetry in Koloman Moser’s Flächenschmuck (2019)
• Single-threaded Polyhedra Models (2020)
• Polyhedral-Edge Knots (2021)
• Pretty 3D Polygons: Exploration and Proofs (2021)
• All (!) Three-Part Variations on Three Different Kinds of Cubes (2023)
• An Orthogonal Mate for a Latin Square Based on an Asymmetric Tile (2023)
• Interchangeable Origami Wallpaper Patterns (2023)
• Sidewalks of Lisbon and Azores (2023)
• Surfaces in The Tesseract (2023)
• Symmetry Notation as a Multidisciplinary Method for the Design of Origami Tessellations (2023)
• [[papers/2024/bridges2024-179|Counting a Class of Photogenic Knots on $9\times 9\times 9$ Rubik’s Cubes]] (2024)
• A Tale of Three p4g Origami Models and Local Frieze Symmetry (2025)
• Knotted Strapwork Strands in a Penrose-Type Girih Pattern (2025)
• M.C. Escher’s Word-Puzzle Wrapping Paper for De Bijenkorf (2025)
• Patterns for Practical Madweave Baskets (2025)