geometric analysis

Appears in 40 extracted records.

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Representative papers

• A Taxonomy of Ancient Geometry Based on the Hidden Pavements of Michelangelo’s Laurentian Library (1998)
• Traces of the Geometrical Ordering of Roman Florence (1998)
• Towards Visual Perception of Periodic Tilings: A Computational Model (1999)
• Systems of Proportion in Design and Architecture and their Relationship to Dynamical Systems Theory (1999)
• The K-Dron, A New Geometrical Shape – Its Nature, Properties, and Consequences (1999)
• Visualization: From Biology to Culture (2000)
• Geometries of Curvature and their Aesthetics (2001)
• Transforming Some Infinite Polyhedra (2002)
• A Unified Theory of Proportion (2003)
• Tony Bomford’s Hyperbolic Hooked Rugs (2004)
• Amazing Labyrinths (2007)
• Golden Fractal Trees (2007)
• The Mathematics of the Channel Anamorphosis (2008)
• Branching Miter Joints: Principles and Artwork (2010)
• Playing with the Möbius Band (2010)
• Ad Quadratum Ad Infinitum (2010)
• The Roman Villa in Rabaçal and Álvaro Siza (2011)
• Sacred Numbers and Tessellations in Aquileia’s XI Century Mosaics (2012)
• Moorish Fretwork Revisited (2012)
• Mitered Fractal Trees: Constructions and Properties (2012)
• [[papers/2013/bridges2013-71|Folded Strips of Rhombuses, and a Plea for the $\sqrt{2}:1$ Rhombus]] (2013)
• Lobke, and Other Constructions from Conical Segments (2014)
• Seeing a Fundamental Theorem (2014)
• The Geometric Studies of Some Mosaic Design Compositions and Puzzles Presented in a Thirteenth Century Treatise (2015)
• Geometry and Aesthetics of Pentagonal Structures in the Art of Gerard Caris (2016)
• Circular Forms in Aleksis Kivi’s Texts (2016)
• The Elevation of Coxeter’s Infinite Regular Polyhedron 444444 (2016)
• The Hendecagonal Stars in the Alhambra (2016)
• The Math and Art of Folded Books (2016)
• Classifying Hexagonal Tilings in Islamic Architecture with a Single Numerical Parameter (2016)
• Invertible Infinity: A Toroidal Fashion Statement (2017)
• Discrete and Computational Differential Geometry for Functional Pattern Design (2019)
• Three-Dimensional Symmetries in Dance and Other Movement Arts (2019)
• Repeating Patterns from Your Own Culture: The Value of Such an Assignment in a Foundation Class in Mathematical Art and Design (2020)
• The Whispers of a Window Wing in Istanbul (2020)
• Genesis of an Interesting Zometool-related Lattice Geometry (2021)
• A Fish Pattern on a Regular Triply Periodic Polyhedron (2022)
• Polar Zonohedral Helices and Clusters (2023)
• Six Platonic Bubbles, or Regular Bubble Shapes Conforming to Joseph Plateau’s Rules, 1873 (2025)
• Slide-By-Slide: Design for Disassembly through Geometric Innovation of Reversible Joints (2025)