mathematical visualization

Appears in 81 extracted records.

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Representative papers

• Generalized Koch Snowflakes (2000)
• Knots and Multiple Möbius Band Minimal Surfaces (2001)
• Blending Polyhedra with Overlays (2001)
• On the Shapes of Water Fountains and Times Tables (2002)
• Finding the Dual of the Tetrahedral-Octahedral Space Filler (2003)
• NEC Polygonal Groups and Tessellations (2003)
• On the Shapes of Water Fountains and Times Tables (2003)
• The “Mathematics and Culture” Project (2003)
• Petrie Polygons (2003)
• Beauty in Art and Mathematics: A Common Neural Substrate or the Limits of Language? (2005)
• Dynamics on Discrete Structures: A Dialog between Squares and Circles (2005)
• A Computerized Environment for Learning and Teaching 3-D Geometry (2005)
• Green Quaternions, Tenacious Symmetry, and Octahedral Zome (2006)
• Non-Euclidean Symmetry and Indra’s Pearls (2006)
• Portraits of Groups (2006)
• 2D and 3D Animation Using Rotations of a Jordan Curve (2007)
• Portraits of Groups II, Orientation Reversing Actions (2007)
• Teaching Group Theory Using Portraits of Groups (2008)
• The Borromean Rings: A Video about the New IMU Logo (2008)
• Real Tornado (2009)
• A Group Portrait on a Surface of Genus Five (2009)
• The Vitruvian Figure of Eight (2010)
• Cyclic Symmetric Multi-Scale Turing Patterns (2010)
• The Sunflower Spiral and the Fibonacci Metric (2010)
• Tori Story (2011)
• Inside and Outside the Rhombic Hexecontahedron (2011)
• A Portrait of a Quadrilateral Group (2011)
• Conformal Tiling on a Torus (2011)
• Simple Rules for Incorporating Design Art into Penrose and Fractal Tiles (2012)
• Girl’s Surface (2013)
• The 6-ring (2013)
• Nonspherical Bubble Clusters (2014)
• Seeing a Fundamental Theorem (2014)
• An Exhibition of Exponential Sums: Visualizing Supercharacters (2015)
• Katzengold: Pyrite, Plato, and a Polynomial (2015)
• Large, Symmetric, “7-Around” Hyperbolic Disks (2015)
• Portraits of Groups on Bordered Surfaces (2016)
• Immersion in Mathematics (2016)
• The Elevation of Coxeter’s Infinite Regular Polyhedron 444444 (2016)
• Flatscape of Measure Polytopes (2016)
• Plane-filling Curves on Transitive Grids (2016)
• Sections of Coxeter Orbihedra (2016)
• 3D Printable Golden Sponges (2017)
• Crooked Houses: Visualizing the Polychora with Hyperbolic Patchwork (2017)
• Introducing the Kasparian Constructions (2017)
• The Discovery and Application of the Protogon’s Spiral (2017)
• Desargues Configuration as a Gnomonic Projection (2018)
• Horosphere, Cyclide and 3d Hyperbolic Tilings (2018)
• Kaleidoscopes for Non-Euclidean Space (2018)
• A Family of Fern-like Ternary Complex Trees (2019)
• Conformal Mappings of the Hyperbolic Plane to Arbitrary Shapes (2019)
• Discrete Gyroid Surface (2019)
• Fractal Images from Multiple Inversion in Circles (2019)
• Helixation (2019)
• Interlacing Mathematics and Art: Hands-on Non-Euclidean Geometry (2019)
• A Gallery of Gaussian Periods (2020)
• Cohomology Fractals (2020)
• Come to STEAM. We have cookies! (2020)
• Hilbert’s Portrait via his Space-Filling Curve (2020)
• Circle Deformation in Hacon’s Sphere Eversion (2021)
• Doubling the Cube—Revisited (2021)
• Space-Filling, Self-Similar Curves of Regular Pentagons, Heptagons and Other n-Gons (2021)
• The Flat Klein Bottle Rendered in Curved-Crease Origami (2021)
• A Sham Schwarz Surface Based on a Squircle (2022)
• Chip-Firing Revisited: A Peek Into The Third Dimension (2022)
• Deltoidal kaleidoscopes (2022)
• Growth Forms of Grid Tilings (2022)
• Portals to Non-Euclidean Geometries (2022)
• Ptolemy, the Regular Heptagon, and Quasiperiodic Tilings (2022)
• A Hyperbolic Variant of Tic-Tac-Toe (2023)
• Easy-to-Understand Visualization Models of Complete Maps (2023)
• Fabric Models of Maximal Complete Maps on a Three-Holed Torus (2023)
• Residue Designs, String Art, and Number Theory (2023)
• Surfaces in The Tesseract (2023)
• Using Triangle Sierpinski Relatives to Visualize Subgroups of the Symmetries of the Square (2023)
• [[papers/2024/bridges2024-179|Counting a Class of Photogenic Knots on $9\times 9\times 9$ Rubik’s Cubes]] (2024)
• Escher: An Engine for Exploring Hierarchical Combinatorial Tilings (2024)
• Oriented and Non-Oriented Cubical Surfaces in the Penteract (2024)
• On the Hunt for Flexible Polyhedra (2025)
• Picturing Automorphisms of the Fano Plane (2025)