discrete geometry

Appears in 36 extracted records.

Back to Domains.

Representative papers

• About Enumeration of Isogonal Polyhedral Families (2002)
• Pure-Tone Approximation to Equal-Temperament: How Close is Close? (2002)
• Circular Distributions and Spectra Variations in Music (2005)
• Geometry and Harmony (2005)
• Musical Scales, Integer Partitions, Necklaces, and Polygons (2006)
• Edge-Constrained Tile Mosaics (2007)
• Perspective Drawings of Lattices (2008)
• The Sunflower Spiral and the Fibonacci Metric (2010)
• Warping Pictures Nicely (2011)
• An Algorithm for Creating Geometric Dissection Puzzles (2012)
• A Topology-Preserving Voxelization Shrinking Algorithm (2012)
• Domes, Zomes, and Drop City (2012)
• Circle Packing Explorations (2013)
• Rendering 3D Tessellations with Conformal Curvilinear Perspective (2013)
• Recursive Rosettes (2014)
• Random Walks on Vertices of Archimedean Tilings (2015)
• The Stomachion in Wonderland (2015)
• Representational Random Walks (2016)
• Hopeless Love and Other Lattice Walks (2017)
• How to Draw a Line (2017)
• Kissing Rings, Bracelets, Roses and Canadian Magnetic Coins: Circle packing with Ferrite Block Magnets and Magnetic Sheet (2017)
• On the Enumeration of Chequered Tilings in Polygons (2017)
• A Plethora of Patterns from Discrete Spiraled Sequences (2018)
• Adopt a Polyhedron – A Citizen Art Project in Mathematics (2018)
• Plane-Filling Folding Curves on the Square Grid (2018)
• Realizations and Constructions of Minimally Rigid Graphs (2018)
• Seeing the Symmetric Difference (2020)
• Generalized Pythagorean Lutes (2022)
• Growth Forms of Grid Tilings (2022)
• [[papers/2022/bridges2022-331|Photogenic Knot Projections on $n\times n\times n$ Rubik’s Cubes]] (2022)
• Rep-tile Font (2022)
• Connections between Hitomezashi Patterns and Truchet Tiling (2023)
• Enclave Depth in Hitomezashi Stitchery (2024)
• Escher: An Engine for Exploring Hierarchical Combinatorial Tilings (2024)
• Artistic Nets to Create Ribboned Regular Tetrahedrons (2025)
• Changing the Topology of Polyominoids Through Rigid Origami (2025)