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Abstract: We give the first example of a finite set of topological disks (in fact polygons) in the Euclidean plane, isometric copies of which can tile the plane but only using infinitely many orientations of the disks. (Update)
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BibTeX entry: (Update)
@misc{ mathematics-pinwheel,
author = "Charles Radin Mathematics",
title = "The Pinwheel Tilings Of The Plane*",
url = "citeseer.ist.psu.edu/762859.html" }
Citations (may not include all citations):98 An Introduction to the Theory of Numbers (context) - Niven, Zuckerman - 1972
91 Tilings and Patterns (context) - Grunbaum, Shephard - 1986
58 The undecidability of the domino problem (context) - Berger - 1966
47 Undecidability and nonperiodicity for tilings of the plane (context) - Robinson - 1971
36 Proving theorems by pattern recognition II (context) - Wang - 1961
34 Space tilings and local isomorphism - Wolff, Radin - 1992
30 Global order from local sources - Radin - 1991
29 substitution systems and dynamical systems generated by them (context) - Mozes - 1989
24 Extraordinary nonperiodic tiling that enriches the theory of.. (context) - Gardner - 1977
14 Dominoes and the AEA case of the decision problem (context) - Wang - 1963
8 Notes on a class of tiling problems (context) - Wang - 1975
4 Philosophy: A Collection of Essays (context) - Wang, Logic - 1990
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