differential geometry
Appears in 56 extracted records.
Back to Domains.
Representative papers
- Finding an Integral Equation of Design and Mathematics (1998)
- “The Optiverse” and Other Sphere Eversions (1999)
- Knots and Multiple Möbius Band Minimal Surfaces (2001)
- Geometries of Curvature and their Aesthetics (2001)
- Beautiful Mind—Elegant Bridge (2002)
- Optimal Geometry as Art (2003)
- Turning a Snowball Inside Out: Mathematical Visualization at the 12-foot Scale (2004)
- Developable Sculptural Forms of Ilhan Koman (2006)
- Paper Sculptures with Vertex Deflection (2006)
- Modeling D-Forms (2007)
- Spiral Developable Sculptures of Ilhan Koman (2007)
- The Brachistochrone Problem, between Euclidean and Hyperbolic (2008)
- The Vitruvian Figure of Eight (2010)
- Minimal Flowers (2010)
- Ribbon Edges: a New Impulse for Geometric Sculpture (2010)
- Tori Story (2011)
- Abstract (2011)
- Twisted D-Forms: Design and Construction of D-Forms with Twisted Prismatic Handles with Developable Sides (2012)
- From Möbius Bands to Klein-Knottles (2012)
- Approaching an Approximation of Freeform Surfaces by Developable Strips using Apparent Contours (2013)
- Girl’s Surface (2013)
- Mathematics, Art and Science of the Pseudosphere (2013)
- SURFER in Math Art, Education and Science Communication (2013)
- The Art of Geometry (2013)
- Generating a “3D” Image from One Continuous 2D Curve (2014)
- Three Mathematical Views of In C (2014)
- A New Way to See Inside Black Holes (2015)
- Surfaces with Natural Ridges (2015)
- A Mathematical Approach to Obtain Isoperimetric Shapes for D-Form Construction (2016)
- Sculpturing Surfaces with Cartan Ribbons (2016)
- The Fourth Dimension in Mathematics and Art (2016)
- Homage to Eva Hild (2017)
- Morphing TSP Art (2017)
- Non-euclidean Virtual Reality II: Explorations of \mathbb{H}^2\times \mathbb{E} (2017)
- Surfaces Foliated by Planar Geodesics: A Model for Curved Wood Design (2017)
- A Threefold Möbius Band with Constant Twist and Minimal Bending as the Limit of Tetrahedral Rings (2018)
- A Circle Bundle Over a Circle (2018)
- Curved Crease Folds of Spherical Polyhedra with Regular Faces (2019)
- Stiefel Manifolds and Polygons (2019)
- A Trio of Beaded Surfaces (2020)
- Gauss-Bonnet Sculpting (2020)
- Geodesic Cities (2020)
- Non-Euclidean Virtual Reality III: Nil (2020)
- The Flat Klein Bottle Rendered in Curved-Crease Origami (2021)
- Exploring Music as a Geometric Object (2022)
- Spiral Ruled Surfaces (2022)
- Parallelized Pixel Averaging for a Real-time Ornamental Pen (2023)
- What Can We Learn from Non-Euclidean Paper? (2023)
- Wire Construction of the Costa Surface and a Torus (2023)
- Amigurumi Crochet Patterns from Geodesic Distances (2024)
- Cosmatesque Geodesics (2024)
- Kagome Gyroid (2024)
- Volume-Enclosing Minimal Surfaces of Torus Knots and Links (2024)
- Classical Optics for Charged Black Holes (2025)
- Genuine Pretending: A Philosophy for Mathematics and Art (2025)
- Smooth-Rolling Knots (2025)