geometric construction
Appears in 67 extracted records.
Back to Methods.
Representative papers
- Architecture and Mathematics: Art, Music and Science (1998)
- Geometrical Poetry (1998)
- The Conceptual Mechanics of Expression in Geometric Fields (1999)
- The Square, the Circle and the Golden Proportion A New Class of Geometrical Constructions (2000)
- The Subtle Symmetry of Golden Spirals (2000)
- Persian Arts: A Brief Study (2000)
- Some Common Themes in Visual Mathematical Art (2001)
- Poseidon from Cape Artemision (2002)
- On the Shapes of Water Fountains and Times Tables (2002)
- An Introduction to the Tiling Properties of Precious Triangles (2003)
- Petrie Polygons (2003)
- Glide Reflection and other Combined Transformations (2004)
- Anatomy of a Bud (2004)
- Intersecting Cylinders and the Jitterbug (2004)
- Modularity in Medieval Persian Mosaics: Textual, Empirical, Analytical, and Theoretical Considerations (2004)
- Coxeter and the Artists: two-way inspiration, Part 2 (2005)
- Two Results Concerning the Zome Model of the 600-Cell (2005)
- An Introduction to Medieval Spherical Geometry for Artists and Artisans (2006)
- Circle Folded Helices (2006)
- Developable Sculptural Forms of Ilhan Koman (2006)
- Sculpture Puzzles (2006)
- Spidron Domain The Expanding Spidron Universe (2006)
- The Gemini Family of Triangles (2006)
- Some Monohedral Tilings Derived From Regular Polygons (2007)
- Symmetry and Structure in Twist-Hinged Dissections of Polygonal Rings and Polygonal Anti-Rings (2007)
- Four Bar Linkages (2008)
- Some Interesting Observations Regarding the Spidrons (2008)
- The Mathematics of Mitering and Its Artful Application (2008)
- Real Tornado (2009)
- 30 Cubes on a Rhombic Triacontahedron (2010)
- Sentinels Sculptures Inspired by the Native Americans’ Culture (2011)
- Phi Divisions of the Square: A Categorization of Composition Strategies (2011)
- Through and Around instead of Over and Under. Another Way of Weaving. (2011)
- Geometric Structures and Forms as Visual Art Compositions (2011)
- Creative Circle Design (2011)
- Mathematical Furniture (2011)
- Soccer Balls (2011)
- From Chain-link Fence to Space-Spanning Mathematical Structures (2011)
- Circle patterns in Gothic architecture (2012)
- Polyhedra on an equilateral hyperboloid (2012)
- Intersecting Helices (2012)
- From Möbius Bands to Klein-Knottles (2012)
- Escher Patterns on Triply Periodic Polyhedra (2013)
- Exploring the Vertices of a Triacontahedron (2013)
- Girl’s Surface (2013)
- The 6-ring (2013)
- Tiling and Tazhib of Some Special Star Polygons (2013)
- Perspectives on Borges’ Library of Babel (2015)
- Square Seeds and Round Paths: Exploring Patterns within the Art of Classical Labyrinths (2015)
- The Stomachion in Wonderland (2015)
- Three Families of Mitered Borromean Ring Sculptures (2015)
- A Threefold Möbius Band with Constant Twist and Minimal Bending as the Limit of Tetrahedral Rings (2018)
- Compound Parallelohedra Building Blocks with Creature-Like Morphologies (2018)
- Folding Space-Filling Bisymmetric Hendecahedron for a Large-Scale Art Installation (2018)
- On a Better Golden Rectangle (That Is Not 61.8033…% Useless!) (2018)
- Art and Math Using an Equally Linked Tetrahedron (2019)
- Which Flower is It? (2019)
- Design of Circular-Arc Curved Creases of Constant Fold Angle (2020)
- Constructivist Art based on the Mandelbrot Set (2021)
- Quadrilateral Spiral Tilings and Escheresque Art (2021)
- Generalized Pythagorean Lutes (2022)
- Curved-Crease Origami Spirals Constructed from Reflected Cones (2023)
- Whirling Tiles (2023)
- Algorithms for Generating Crease Patterns from Sewing Patterns (2024)
- Playing with Connections and Variations: Golden Sierpinski Spirals (2024)
- Polyhedral Cages: An Aesthetic Generalisation Of Regular Solids (2024)
- From Triangles to Pentagons (2025)