Geometry

110 entries

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• Hamiltonian Cycles on Ammann-Beenker Tilings
  • Published in 2024
  • Added on 2024-12-02
• Tiling with Three Polygons is Undecidable
  • Published in 2024
  • Added on 2024-12-02
• Tumbling Downhill along a Given Curve
  • Published in 2024
  • Added on 2024-07-24
• Squigonometry: The Study of Imperfect Circles
  • Published in 2022
  • Added on 2024-04-10
• The Sine of a Single Degree
  • Published in 2017
  • Added on 2024-01-15
• How big a table do you need for your jigsaw puzzle?
  • Published in 2023
  • Added on 2024-01-15
• When Can You Tile an Integer Rectangle with Integer Squares?
  • Published in 2023
  • Added on 2023-10-09
• Wallpaper Functions
  • Published in 2002
  • Added on 2023-06-20
• Erich's Packing Center
  • Published in 2020
  • Added on 2023-03-20
• Hedra Zoo
  • Published in 2022
  • Added on 2023-02-02
• Lucy and Lily: A Game of Geometry and Number Theory: The American Mathematical Monthly: Vol 109, No 1
  • Added on 2022-11-14
• PIGTIKAL (puzzles in geometry that I know and love)
  • Published in 2009
  • Added on 2022-10-14
• Euclidean traveller in hyperbolic worlds
  • Published in 2022
  • Added on 2022-09-09
• Filling space with hypercubes of two sizes -- The pythagorean tiling in higher dimensions
  • Published in 2022
  • Added on 2022-05-13
• Tiling with arbitrary tiles
  • Published in 2015
  • Added on 2022-02-23
• Max/Min Puzzles in Geometry
  • Published in 2022
  • Added on 2022-02-16
• Pop-Up Geometry
  • Published in 2022
  • Added on 2022-02-16
• Clark Kimberling's Encyclopedia of Triangle Centers
  • Published in 1999
  • Added on 2022-02-16
• Skateboard Tricks and Topological Flips
  • Published in 2021
  • Added on 2021-08-29
• Tilings Encyclopedia
  • Added on 2021-05-18
• Perimeter-minimizing pentagonal tilings
  • Published in 2014
  • Added on 2021-05-04
• The best known packings of equal circles in a square
  • Published in 1999
  • Added on 2021-04-20
• Generation of real algebraic loci via complex detours
  • Published in 2015
  • Added on 2021-04-10
• The cocked hat
  • Published in 2020
  • Added on 2021-03-23
• Envelopes are solving machines for quadratics and cubics and certain polynomials of arbitrary degree
  • Published in 2020
  • Added on 2021-01-06
• "Match-Stick" Geometry
  • Published in 1939
  • Added on 2020-12-20
• Paperfolding morphisms, planefilling curves, and fractal tiles
  • Published in 2010
  • Added on 2020-09-21
• Plane-filling curves on all uniform grids
  • Published in 2016
  • Added on 2020-09-21
• Conway's Tiling Groups on JSTOR
  • Published in 1990
  • Added on 2020-04-15
• Knots and links in spatial graphs
  • Published in 1983
  • Added on 2020-04-12
• The no-three-in-line problem on a torus
  • Published in 2012
  • Added on 2019-12-10
• A unique pair of triangles
  • Published in 2018
  • Added on 2019-12-10
• Creation of Hyperbolic Ornaments
  • Published in 2014
  • Added on 2019-08-08
• The graphs behind Reuleaux polyhedra
  • Published in 2019
  • Added on 2019-05-09
• Ley statistics
  • Published in 2014
  • Added on 2019-03-02
• What Is an Envelope?
  • Published in 1981
  • Added on 2019-02-04
• Rectangle Arithmetic
  • Published in 2006
  • Added on 2018-11-27
• Duotone Truchet-like tilings
  • Published in 2009
  • Added on 2018-11-13
• Conway's doughnuts
  • Published in 2018
  • Added on 2018-11-04
• Noncrossing partitions under rotation and reflection
  • Published in 2005
  • Added on 2018-10-27
• A Tiling Database
  • Published in 2011
  • Added on 2018-10-24
• The largest small hexagon
  • Published in 1975
  • Added on 2018-09-22
• On Some Regular Toroids
  • Published in 2001
  • Added on 2018-07-26
• National Curve Bank
  • Published in 2002
  • Added on 2018-07-02
• How to hear the shape of a billiard table
  • Published in 2018
  • Added on 2018-06-27
• The grasshopper problem
  • Published in 2017
  • Added on 2018-01-24
• Near Miss Polyhedra
  • Published in 2002
  • Added on 2018-01-10
• Any Monotone Boolean Function Can Be Realized by Interlocked Polygons
  • Published in 2010
  • Added on 2018-01-08
• Folding Polyominoes into (Poly)Cubes
  • Published in 2017
  • Added on 2018-01-03
• Mechanisms by Tchebyshev
  • Published in 2009
  • Added on 2017-12-04
• A compilation of LEGO Technic parts to support learning experiments on linkages
  • Published in 2017
  • Added on 2017-12-04
• Two-dimensional photonic aperiodic crystals based on Thue-Morse sequence
  • Published in 2007
  • Added on 2017-11-13
• Officially, Home Plate doesn’t exist.
  • Published in 2017
  • Added on 2017-08-16
• An Explicit Isometric Reduction of the Unit Sphere into an Arbitrarily Small Ball
  • Published in 2017
  • Added on 2017-07-25
• Avian egg shape: Form, function, and evolution
  • Published in 2017
  • Added on 2017-07-24
• Overcurvature describes the buckling and folding of rings from curved origami to foldable tents
  • Published in 2012
  • Added on 2017-07-20
• A formula goes to court: Partisan gerrymandering and the efficiency gap
  • Published in 2017
  • Added on 2017-06-16
• Arrangements of Stars on the American Flag
  • Published in 2012
  • Added on 2017-06-12
• The opaque square
  • Published in 2013
  • Added on 2017-05-22
• PVC Polyhedra
  • Published in 2017
  • Added on 2017-05-02
• No, This is not a Circle
  • Published in 2017
  • Added on 2017-05-02
• Ovals and Egg Curves
  • Published in 2000
  • Added on 2017-04-03
• On the Existence of Ordinary Triangles
  • Published in 2017
  • Added on 2017-02-06
• Random Triangles and Polygons in the Plane
  • Published in 2017
  • Added on 2017-02-06
• Rules for Folding Polyminoes from One Level to Two Levels
  • Published in 2017
  • Added on 2017-01-16
• Balloon Polyhedra
  • Published in 2013
  • Added on 2016-12-21
• Developing a Mathematical Model for Bobbin Lace
  • Published in 2014
  • Added on 2016-11-28
• Geometric Mechanics of Curved Crease Origami
  • Published in 2012
  • Added on 2016-10-14
• Fractal geometry of a complex plumage trait reveals bird's quality
  • Published in 2013
  • Added on 2016-09-27
• Topologically Distinct Sets of Non-intersecting Circles in the Plane
  • Published in 2016
  • Added on 2016-08-25
• Fuzzy plane geometry I: Points and lines
  • Published in 1997
  • Added on 2016-06-17
• Notes on the Fourth Dimension
  • Published in 2015
  • Added on 2016-06-13
• A combinatorial theorem in plane geometry
  • Published in 1975
  • Added on 2015-02-23
• Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice
  • Published in 2005
  • Added on 2015-02-02
• The shape of a Mobius band
  • Published in 1993
  • Added on 2014-08-20
• Foldings and Meanders
  • Published in 2013
  • Added on 2014-08-19
• The Stick Problem
  • Published in 2013
  • Added on 2014-01-13
• Circular orbits on a warped spandex fabric
  • Published in 2013
  • Added on 2014-01-07
• Fair but irregular polyhedral dice
  • Published in 2010
  • Added on 2013-12-16
• Swiss cheeses, rational approximation and universal plane curves
  • Published in 2010
  • Added on 2013-11-14
• An Infinite Set of Heron Triangles with Two Rational Medians
  • Published in 2013
  • Added on 2013-10-09
• On n-Dimensional Polytope Schemes
  • Published in 2013
  • Added on 2013-08-02
• A Smaller Sleeping Bag For A Baby Snake
  • Published in 1998
  • Added on 2013-03-20
• Constructing the Tits ovoid from an elliptic quadric
  • Published in 2006
  • Added on 2013-03-19
• Das 2: 3-Ei-ein praktikables Eimodell
  • Published in 2009
  • Added on 2013-03-19
• The Circle-Squaring Problem Decomposed
  • Published in 2009
  • Added on 2013-03-17
• Circular reasoning: who first proved that $C/d$ is a constant?
  • Published in 2013
  • Added on 2013-03-06
• Figures for "Impossible fractals"
  • Published in 2008
  • Added on 2012-12-18
• A stratification of the space of all $k$-planes in $\mathbb{C}_n$
  • Published in 2012
  • Added on 2012-11-19
• On sphere-filling ropes
  • Published in 2010
  • Added on 2012-10-29
• Algebraic theory of Penrose's non-periodic tilings of the plane
  • Published in 1981
  • Added on 2012-10-13
• The topology of the minimal regular cover of the Archimedean tessellations
  • Published in 2012
  • Added on 2012-10-05
• How to recognise a 4-ball when you see one
  • Published in 2011
  • Added on 2012-05-19
• Theory and History of Geometric Models
  • Published in 2007
  • Added on 2012-04-15
• The Euler spiral: a mathematical history
  • Published in 2008
  • Added on 2012-04-07
• Navigating Hyperbolic Space with Fibonacci Trees
  • Published in 2010
  • Added on 2012-04-07
• The bitangent sphere problem
  • Published in 1990
  • Added on 2012-03-24
• Orange Peels and Fresnel Integrals
  • Published in 2012
  • Added on 2012-02-15
• Gerrymandering and Convexity
  • Published in 2010
  • Added on 2012-02-03
• Asymptotic statistics of the n-sided planar Poisson–Voronoi cell: I. Exact results
  • Published in 2005
  • Added on 2011-12-08
• Packing circles and spheres on surfaces
  • Published in 2009
  • Added on 2011-09-04
• Deriving Uniform Polyhedra with Wythoff's Construction
  • Published in 2010
  • Added on 2011-05-10
• Accurate estimation of forward path geometry using two-clothoid road model
  • Published in 2002
  • Added on 2011-04-12
• The isoperimetric problem
  • Published in 2001
  • Added on 2011-03-14
• Comparison of geometric figures
  • Published in 2008
  • Added on 2011-02-03
• Can One Hear the Shape of a Drum?
  • Published in 1966
  • Added on 2011-01-12
• What symmetry groups are present in the Alhambra?
  • Published in 2006
  • Added on 2010-09-06
• Circle Packing for Origami Design Is Hard
  • Published in 2010
  • Added on 2010-08-13
• A formal system for Euclid's Elements
  • Published in 2008
  • Added on 2010-04-04
• An aperiodic hexagonal tile
  • Published in 2010
  • Added on 2010-03-26