architecture

Appears in 208 extracted records.

Back to Domains.

Representative papers

• Architecture and Mathematics: Art, Music and Science (1998)
• A Symmetry Classification of Columns (1998)
• 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)
• Geometry as Libera(l)ting Art in Wren’s St. Paul’s Cathedral (1998)
• Harmony, Chromatics, and Chaos (1999)
• The Sky Within: Mathematical Aesthetics of Persian Dome Interiors (1999)
• The Well-Rounded Architect: Spheres and Circles in Architectural Design (1999)
• 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 Art-Science Marriage, From Quarrel to Understanding (1999)
• The K-Dron, A New Geometrical Shape – Its Nature, Properties, and Consequences (1999)
• The Subtle Symmetry of Golden Spirals (2000)
• Evolutionary Development of Mathematically Defined Forms (2000)
• The Generation of the Cube and the Cube as Generator (2000)
• Persian Arts: A Brief Study (2000)
• Sections Beyond Golden (2000)
• Bridges between Antiquity and the New Turkish Architecture in the 19th Century (2000)
• Subsymmetry Analysis and Synthesis of Architectural Designs (2000)
• Sculptural Interpretation of a Mathematical Form (2002)
• Anne Bulckens’ Analysis of the Proportions of the Parthenon and its Meanings (2002)
• Mathematics for Those Who Hate Mathematics (2002)
• A Museum Dedicated to the Concept of Harmony and the Golden Section (2002)
• Heterarchy of Space (2002)
• Experimental Morphology: The Generative Dynamics of Form and Structure (2002)
• Computer Sculpture: A journey through Mathematics (2002)
• A Unified Theory of Proportion (2003)
• Two Perspectives on Inversion (2003)
• Finding the Dual of the Tetrahedral-Octahedral Space Filler (2003)
• Fractal Geometry And Self-Similarity In Architecture: An Overview Across The Centuries (2003)
• The Sundial, Beyond the Form and Time… (2003)
• The Poincaré Surprises (2003)
• An Extended Mural for a House of Mathematics (2003)
• Hidden Geometry in Music of Bach and Schoenberg: Reflection, Rotation, Proportion (2003)
• Dynamical Systems: A Golden Gate from Auditory Physiology to Musical Aesthetics? (2003)
• Introducing Simple Arithmetic and Geometric Series in Complex Parametric Modeling (2003)
• Abraham as Bridge and Mediator: A Metaphoric Reflection on the Alhambra (2003)
• Möbius Concepts in Architecture (2003)
• Lengthening, Expansion and Torsion: Three Geometric Operations for Aesthetics Creation (2003)
• Fractal Geometry Describes the Beauty of Infinity in Nature (2003)
• Number Theory and Art (2003)
• Graphs and Circulation in Rural Housing (2003)
• The “Mathematics and Culture” Project (2003)
• Developmental Morphology: X, Y, & Z Coordination as a Dynamic and Generative Cellular Process (2003)
• A Study on the North Dome of Masjid-i-Jami Isfahan (2003)
• Great Kiva Design in Chaco Canyon: An Archaeology of Geometry (2003)
• Space Blanket (2003)
• The Relationship among Proportions, Ottoman-Turkish Music and Architecture (2003)
• An Evaluation Approach for Circulation in Buildings (2003)
• Discrete-Event Activity Simulation for Predicting Occupants’ Movements in Buildings (2003)
• Why Do Penrose Tilings Diffract? (2003)
• New Pentatonic Scale Relationships with Visual Parallels (2003)
• [[papers/2003/bridges2003-581|The Mathematical Characterization of $19^{\text{th}}$ Century Enlightment on Ottoman Architecture]] (2003)
• Wisdom in Art: Mathematics in Islamic Architecture in Iran (2003)
• Topological Perspective – The Concept (2003)
• Seashell Architectures (2003)
• Pulling Ropes and Plumbing Lines: Geometry for the Neolithic Engineer (2004)
• A Search in Progress: Polyhedra from Intersecting Cylinders (2004)
• Experiential Morphology: The Generative Dynamics of Form and Structure, Part II* (2004)
• Fractalled: The Interstitial Spaces And Frank Gehry (2004)
• An Introduction to The Randsome (2004)
• [[papers/2005/bridges2005-347|$\zeta$-Irrationality Search: After a Golden Section Approach, Another Esthetic but Vain Attempt]] (2005)
• An Interdisciplinary Course: “On Beauty: Perspective, Proportion, and Rationalism in Western Culture” (2005)
• Donald Coxeter: The Man who Saved Geometry (2005)
• Mathematical Models of Gothic Structures (2005)
• Solidifying Wireframes (2005)
• Symmetries and Design Science (2005)
• Wisdom in Art: Mathematics in Islamic Architecture in Iran (2005)
• Mathematics Investigations in Art-Based Environments (2006)
• Asymmetry in Persian Symmetrical Art and Architecture (2006)
• Collaboration on the Integration of Sculpture and Architecture in The Eden Project (2006)
• D-Forms: 3D forms from two 2D sheets (2006)
• Mandala and 5, 6 and 7 fold Division of the Circle (2006)
• Mathematics and the Architecture: The Problem and the Theory in Pre-Modern Cultures (2006)
• New ways in symmetry (2006)
• On the Bridging Powers of Geometry: In the Study of Ancient Theatre Architecture (2006)
• Teaching Design Science: An Exploration of Geometric Structures (2006)
• The Work of Foster and Partners Specialist Modelling Group (2006)
• Transformations of Vertices, Edges and Faces to Derive Polyhedra (2006)
• Understanding the Mathematics Based Formulation on Dome Tessellation in Architect Sinan’s Mosques Design (2006)