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Chaos 21, 041106 (2011); http://dx.doi.org/10.1063/1.3668192 (1 page)

Local action, global impact: Forcing nonperiodicity with a single structural unit

Joshua E. S. Socolar

Physics Department and Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27708, USA

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(Received 12 August 2011; published online 20 December 2011)

Abstract unavailable.

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1054-1500 (print)  
1089-7682 (online)

  1. J. E. S. Socolar and J. M. Taylor, J. Comb. Theory Ser. A, 118, 2207 (2011)., See also Socolar and Taylor, The Mathematical Intelligencer, Vol. 34, No. 1 (2011), http://www.springerlink.com/content/v06145n476l13xp0/
  2. M. Gardner, Mathematical Magic Show (Vintage, New York, 1978).

Figures (click on thumbnails to view enlargements)

FIG.1
(Color) The tile shown at bottom left (with its mirror image) forces the nonperiodic tiling shown. See text for details. The images above are based on research done in collaboration with Joan M. Taylor of Burnie, Tasmania.

FIG.1 Download High Resolution Image (.zip file) | Export Figure to PowerPoint



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