generative design
Appears in 83 extracted records.
Back to Domains.
Representative papers
- Dimension of Time in Strange Attractors (2003)
- Hamiltonian Cycles on Symmetrical Graphs (2004)
- A Salamander Sculpture Barn Raising (2004)
- Turning a Snowball Inside Out: Mathematical Visualization at the 12-foot Scale (2004)
- Intersecting Cylinders and the Jitterbug (2004)
- Digitally Spelunking the Spline Mine (2005)
- Serial Polar Transformation Motifs Revisited (2005)
- Symmetric Linear Constructions in Motion (2005)
- On a Family of Symmetric, Connected and High Genus Sculptures (2006)
- Sculpture Puzzles (2006)
- From Modeling Foliage with L-systems to Digital Art (2007)
- Modular Kirigami (2007)
- Fibonacci Tornado Phyllotaxy spirals consisting of all similar triangles (2008)
- Manipulating Images with Fractal Julia Sets (2008)
- Procedural Generation of Sculptural Forms (2008)
- Regular 3D Polygonal Circuits of Constant Torsion (2009)
- Text from Truchet Tiles (2009)
- Some Three-dimensional Self-similar Knots (2010)
- Design by Subdivision (2010)
- Brunnian Weavings (2010)
- Sphaerica: Interactive Spherical Geometry Software (2010)
- Cylinder Anamorphosis of Impossible Structures (2010)
- A New Kind of Three-Dimensional Anamorphosis (2011)
- Through and Around instead of Over and Under. Another Way of Weaving. (2011)
- Symmetric Stick Puzzles (2011)
- A Virtual Installation of Sierpinski Triangle (2011)
- Abstract Overlays using a Transport Network Model (2011)
- Sundials from Toroid Surfaces (2011)
- Sinuous Meander Patterns in Natural Coordinates (2012)
- A Mathematica GUI for Generating Conway Tiles (2012)
- From Two Dimensions to Four – and Back Again (2012)
- Animating Line-based Op Art (2013)
- Iterative Arrangements of Polyhedra – Relationships to Classical Fractals and Haüy Constructions (2013)
- Closed Loops with Antiprisms (2014)
- Design of a Nature-like Fractal Celebrating Warp-knitting (2014)
- Game-of-Life Mosaics (2014)
- Inversive Kaleidoscopes and their Visualization (2014)
- Lobke, and Other Constructions from Conical Segments (2014)
- Some Hyperbolic Fractal Tilings (2014)
- Target Curves for Pick-up, Carry, and Drop Mobile Automata (2014)
- Tria-Tubes (2014)
- A Pattern Tracing System for Generating Paper Sliceform Artwork (2015)
- A Skeleton Key for the Platonic Solids (2015)
- Large, Symmetric, “7-Around” Hyperbolic Disks (2015)
- Math Bugs (2015)
- Random Walks on Vertices of Archimedean Tilings (2015)
- Hypocycloid Juggling Patterns (2016)
- Plane-filling Curves on Transitive Grids (2016)
- Inversive Diversions and Diversive Inversions (2017)
- Let the Numbers Do the Walking: Generating Turtle Dances on the Plane from Integer Sequences (2017)
- Modular Toroids Constructed from Nonahedra (2018)
- Multi-Scale Truchet Patterns (2018)
- Play Truchet: Using the Truchet Tiling to Engage the Public with Mathematics (2018)
- The Art and Mathematics of Self-Interlocking SL Blocks (2018)
- A Family of Fern-like Ternary Complex Trees (2019)
- A Minimal Art Object with Six Horses in a Carousel (2019)
- Animated Isohedral Tilings (2019)
- Double-layered Weaving of Infinite Bi-foldable Polyhedral Complexes (2019)
- Folding Functions: Origami Corrugations from Equations (2019)
- From Seifert Surfaces to Star Cinders (2019)
- Grid-Based Circuits from de Bruijn Sequences (2019)
- Puzzling Plane-Filling Curves (2019)
- That Is Not Art, It Is a Puzzle! (2019)
- The Obtetrahedrille as a Modular Building Block for 3D Mathematical Art (2019)
- Conjunction-forms: Three-Circle Combinations (2021)
- Folding Functions II: Methods for Mathematically Manipulating Miura-ori Models (2021)
- Composite Number Polyrhythms: Animating and Sonifying the Divisor Plot (2022)
- Rep-tile Font (2022)
- Spiral Based Point Cloud Representations of Sculptures (2022)
- [[papers/2023/bridges2023-397|Automatic Origami Crease Pattern Generation from -uniform Tilings]] (2023)
- Polygonia Design Suite: Inspiration, Design, and Application (2023)
- Visualizing the Kolakoski Sequence (2023)
- AR Markers Meet Fashion (2024)
- Escher: An Engine for Exploring Hierarchical Combinatorial Tilings (2024)
- Handle-Bodies Inspired by Tengstrand’s “3-2-1”-Sculpture (2024)
- Menger-Slice Inspired Fractals based on the Pentagon, Dodecahedron, and 120-Cell (2024)
- Zigzag Mosaics and Single-Line Drawings (2024)
- Circling Infinity: String Art with Rational Numbers (2025)
- Iterating Polyominoes to Create Fractal Reptiles (2025)
- Magnetic Generalized Residue Designs (2025)