hyperbolic geometry

Appears in 75 extracted records.

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Representative papers

• Computer Generated Islamic Star Patterns (2000)
• Hyperbolic Celtic Knot Patterns (2000)
• M. C. Escher’s Association with Scientists (2000)
• Flatland, Curved Space: How M. C. Escher Illustrated the History of Geometry (2001)
• Hyperbolic Islamic Patterns — A Beginning (2001)
• Square Decompositions with Hyperbolic Consequences in Art, Chemical Physics and Mathematics (2003)
• NEC Polygonal Groups and Tessellations (2003)
• Hyperbolic Spirals and Spiral Patterns (2003)
• Tony Bomford’s Hyperbolic Hooked Rugs (2004)
• An Approach in Coloring Semi-Regular Tilings on the Hyperbolic Plane (2005)
• Dynamics on Discrete Structures: A Dialog between Squares and Circles (2005)
• H.S.M. Coxeter and Tony Bomford’s Colored Hyperbolic Rugs (2005)
• Eva Hild: Topological Sculpture from Life Experience (2006)
• More “Circle Limit III” Patterns (2006)
• Non-Euclidean Symmetry and Indra’s Pearls (2006)
• Patterns on the Genus-3 Klein Quartic (2006)
• A “Circle Limit III” Calculation (2007)
• Hyperbolic Semi-Regular Tilings and their Symmetry Properties (2007)
• A “Circle Limit III” Backbone Arc Formula (2008)
• The Symmetry of “Circle Limit IV” and Related Patterns (2009)
• Concave Hexagons (2009)
• A Group Portrait on a Surface of Genus Five (2009)
• Regular Polyhedral Lattices of Genus 2: 11 Platonic Equivalents? (2010)
• Gauss, Bolyai, Lobachevsky – in General Education? (2010)
• On Torsion Free Subgroups of p32 and Related Colored Tilings (2010)
• Minimal Flowers (2010)
• Hyperbolic Truchet Tilings (2011)
• Bending Hyperbolic Kaleidoscopes (2011)
• The Conformal Vega Disk (2011)
• Workshop Design Thinking Lab: Math Goes Fashion (2011)
• Polyhedra on an equilateral hyperboloid (2012)
• Patterned Triply Periodic Polyhedra (2012)
• Fisheye View of Tessellations (2012)
• Bending Circle Limits (2013)
• Escher Patterns on Triply Periodic Polyhedra (2013)
• Mathematics, Art and Science of the Pseudosphere (2013)
• Hyperbolic Tilings with Truly Hyperbolic Crochet Motifs (2014)
• Inversive Kaleidoscopes and their Visualization (2014)
• Regular Surfaces and Regular Maps (2014)
• Some Hyperbolic Fractal Tilings (2014)
• The Conformal Hyperbolic Square and Its Ilk (2016)
• Constructing Meaning through Making and Creating (2016)
• A Recursion in Knitting (2016)
• HyperRogue: Playing with Hyperbolic Geometry (2017)
• Non-euclidean Virtual Reality II: Explorations of \mathbb{H}^2\times \mathbb{E} (2017)
• Quilting the Klein Quartic (2017)
• A Poor Man’s Hyperbolic Square Mapping (2018)
• Horosphere, Cyclide and 3d Hyperbolic Tilings (2018)
• Kaleidoscopes for Non-Euclidean Space (2018)
• Sphairahedra and Three-Dimensional Fractals (2018)
• Ceramics Inspired by String Theory (2019)
• Conformal Mappings of the Hyperbolic Plane to Arbitrary Shapes (2019)
• Embroidery of a Hyperbolic Fish Pattern (2019)
• Fractal Images from Multiple Inversion in Circles (2019)
• Hyperbolization on a Squircular Continuum (2019)
• Interlacing Mathematics and Art: Hands-on Non-Euclidean Geometry (2019)
• Cohomology Fractals (2020)
• Creating Non-Euclidean Art with Craft Technologies (2020)
• Crocheting Adventures with Hyperbolic Planes (2020)
• Non-Euclidean Billiards in VR (2020)
• Crocheting an Isomorphism between the Automorphism Groups of the Klein Quartic and Fano Plane (2021)
• [[papers/2021/bridges2021-285|Do the Angles of a Triangle Add up to $180^{\circ }$ ? – Introducing Non-Euclidean Geometry]] (2021)
• A Sham Schwarz Surface Based on a Squircle (2022)
• Crested Cactuses and Mathematical Sculpture (2022)
• Exploring Mathematics with Curvagon Tiles (2022)
• Looping Hyperbolic Surfaces (2022)
• Portals to Non-Euclidean Geometries (2022)
• What I Learned in 25 Years Crocheting Hyperbolic Planes (2022)
• Embroidery-Hooping toward the Hyperbolic Trochoid (2023)
• What Can We Learn from Non-Euclidean Paper? (2023)
• A Woven Klein Quartic (2024)
• Hyperbolic Isogonal Tilings from Uniform Edge Colorings (2024)
• Tales of Escher and Tiling Hyperbolic Space (2024)
• A Connection between Twine String and an Elliptic Curve (2025)
• Tiling a Hyperbolic Pair of Pants (2025)