Craig S. Kaplan

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All published works

Action	Title	Year	Authors
+	An aperiodic monotile	2024	David J. Smith Joseph Samuel Myers Craig S. Kaplan Chaim Goodman-Strauss
+ PDF Chat	Detecting Isohedral Polyforms with a SAT Solver	2024	Craig S. Kaplan
+	Freeform Islamic Geometric Patterns	2023	Rebecca Lin Craig S. Kaplan
+	An aperiodic monotile	2023	David J. Smith Joseph Samuel Myers Craig S. Kaplan Chaim Goodman-Strauss
+	A chiral aperiodic monotile	2023	David J. Smith Joseph Samuel Myers Craig S. Kaplan Chaim Goodman-Strauss
+ PDF Chat	Heesch numbers of unmarked polyforms	2022	Craig S. Kaplan
+ PDF Chat	A Frameless 2-Coloring of the Plane Lattice	2021	Craig S. Kaplan Jeffrey Shallit
+ PDF Chat	Heesch Numbers of Unmarked Polyforms	2021	Craig S. Kaplan
+	Heesch Numbers of Unmarked Polyforms	2021	Craig S. Kaplan
+ PDF Chat	Quasiperiodic bobbin lace patterns	2020	Veronika Irvine Thérèse Biedl Craig S. Kaplan
+	A Frameless 2-Coloring of the Plane Lattice	2020	Craig S. Kaplan Jeffrey Shallit
+	Quasiperiodic bobbin lace patterns.	2019	Veronika Irvine Thérèse Biedl Craig S. Kaplan
+	Quasiperiodic bobbin lace patterns	2019	Veronika Irvine Thérèse Biedl Craig S. Kaplan
+	4 Computer Algorithms for Star Pattern Construction	2017	Jay Bonner Craig S. Kaplan
+	Grid-based Decorative Corners	2013	Craig S. Kaplan
+	Smooth Self-Similar Curves	2011	Craig S. Kaplan
+	Islamic star patterns from polygons in contact	2005	Craig S. Kaplan
+	Computer Generated Islamic Star Patterns	2000	Craig S. Kaplan

Common Coauthors

Coauthor	Papers Together
Veronika Irvine	3
David J. Smith	3
Joseph Samuel Myers	3
Thérèse Biedl	3
Chaim Goodman-Strauss	3
Jeffrey Shallit	2
Rebecca Lin	1
Jay Bonner	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	A Figure with Heesch Number 6: Pushing a Two-Decade-Old Boundary	2021	Bojan Bašić	4
+	Algebraic theory of Penrose's non-periodic tilings of the plane. I	1981	N.G. de Bruijn	4
+	Tilings and Patterns.	1988	Solomon W. Golomb Branko Grünbaum G. C. Shephard	4
+	Heesch's Tiling Problem	2004	Casey Mann	3
+	The undecidability of the domino problem	1966	Robert E. Berger	3
+ PDF Chat	Heesch numbers of unmarked polyforms	2022	Craig S. Kaplan	3
+	Periodicity and decidability of tilings of ℤ2	2020	Siddhartha Bhattacharya	2
+ PDF Chat	A group of paths in ℝ²	1996	Richard Kenyon	2
+	Remarks on Berger's paper on the domino problem	1972	Yu. Sh. Gurevich I. O. Koryakov	2
+	Undecidability and nonperiodicity for tilings of the plane	1971	Raphael M. Robinson	2
+ PDF Chat	Hexagonal Inflation Tilings and Planar Monotiles	2012	Michael Baake Franz Gähler Uwe Grimm	2
+	Quasicrystals and Geometry	1997		2
+	Exhaustive search of convex pentagons which tile the plane	2017	Michaël Rao	2
+ PDF Chat	Drawing Bobbin Lace Graphs, or, Fundamental Cycles for a Subclass of Periodic Graphs	2018	Thérèse Biedl Veronika Irvine	2
+	85.13 Least squares revisited	2001	P. Glaister	2
+	Algebraic theory of Penrose's non-periodic tilings of the plane. II	1981	N.G. de Bruijn	2
+ PDF Chat	AN APERIODIC TILE WITH EDGE-TO-EDGE ORIENTATIONAL MATCHING RULES	2021	James Walton Michael F. Whittaker	2
+ PDF Chat	Forcing Nonperiodicity with a Single Tile	2011	Joshua E. S. Socolar Joan M. Taylor	2
+	Computer Generated Islamic Star Patterns	2000	Craig S. Kaplan	2
+ PDF Chat	Developing a mathematical model for bobbin lace	2014	Veronika Irvine Frank Ruskey	2
+ PDF Chat	The structure of translational tilings in $\mathbb{Z}^d$	2021	Rachel Greenfeld Terence Tao	2
+	Mathematical problems	1902	David Hilbert	2
+ PDF Chat	Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces	1992	Jonathan Block Shmuel Weinberger	2
+	A counterexample to the periodic tiling conjecture	2022	Rachel Greenfeld Terence Tao	2
+ PDF Chat	Undecidable Translational Tilings with Only Two Tiles, or One Nonabelian Tile	2023	Rachel Greenfeld Terence Tao	2
+	Tiling, spectrality and aperiodicity of connected sets	2023	Rachel Greenfeld Mihail N. Kolountzakis	2
+	Undecidability of translational monotilings	2023	Rachel Greenfeld Terence Tao	2
+	An aperiodic hexagonal tile	2011	Joshua E. S. Socolar Joan M. Taylor	2
+	Regular production systems and triangle tilings	2008	Chaim Goodman-Strauss	2
+	Aperiodic tilings of the hyperbolic plane by convex polygons	1998	G. A. Margulis Shahar Mozes	2
+	Two methods for generating fractals	1989	Jeffrey Shallit Jorge Stolfi	1
+	Creating repeating hyperbolic patterns	1981	Douglas Dunham John A. Lindgren David Witte	1
+	The Symmetries of Things	2008	John H. Conway Heidi Burgiel Chaim Goodman-Strauss	1
+	Artistic Patterns in Hyperbolic Geometry	1999	Douglas Dunham	1
+	The knot book: An elementary introduction to the mathematical theory of knots	1997	R. C. Read	1
+	An infinite number of plane figures with Heesch number two	1991	Anne Marie Fontaine	1
+	A Quasilinear-Time Algorithm for Tiling the Plane Isohedrally with a Polyomino	2016	Stefan Langerman Andrew Winslow	1
+	<i>The Fractal Geometry of Nature</i>	1983	Benoît B. Mandelbrot John Wheeler	1
+	Pattern avoidance on graphs	2006	Jarosław Grytczuk	1
+ PDF Chat	Groups and Symmetry: A Guide to Discovering Mathematics	1995	David W. Farmer	1
+	Remarks on Penrose Tilings	2013	N.G. de Bruijn	1
+	Word Processing in Groups	1992	D. B. A. Epstein	1
+	Hyperbolic symmetry	1986	Douglas Dunham	1
+ PDF Chat	The On-Line Encyclopedia of Integer Sequences	2007	N. J. A. Sloane	1
+	Quasi-periodic configurations and undecidable dynamics for tilings, infinite words and Turing machines	2004	Jean‐Charles Delvenne Vincent D. Blondel	1
+	Automatic Theorem Proving in Walnut	2016	Hamoon Mousavi	1
+	The local theorem for tilings	1998	Н. П. Долбилин Doris Schattschneider	1
+	Islamic star patterns from polygons in contact	2005	Craig S. Kaplan	1