caa a22 4500 469074949 CHVBK 20180323132932.0 cr unu---uuuuu 170328e19920701xx s 000 0 eng 10.1007/BF02293033 doi (NATIONALLICENCE)springer-10.1007/BF02293033 Aperiodic tiles [Elektronische Daten] [Robert Ammann, Branko Grünbaum, G. Shephard] A set of tiles (closed topological disks) is calledaperiodic if there exist tilings of the plane by tiles congruent to those in the set, but no such tiling has any translational symmetry. Several aperiodic sets have been discussed in the literature. We consider a number of aperiodic sets which were briefly described in the recent bookTilings and Patterns, but for which no proofs of their aperiodic character were given. These proofs are presented here in detail, using a technique with goes back to R. M. Robinson and Roger Penrose. Springer-Verlag New York Inc., 1992 Ammann Robert P.O. Box 265, 01821, Billerica, MA, USA aut Grünbaum Branko University of Washington GN-50, 98195, Seattle, WA, USA aut Shephard G. University of East Anglia, NR4 7TJ, Norwich, Norfolk, England aut Discrete & Computational Geometry Springer New York 8/1(1992-07-01), 1-25 0179-5376 8:1<1 1992 8 454 https://doi.org/10.1007/BF02293033 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02293033 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ammann Robert P.O. Box 265, 01821, Billerica, MA, USA aut NATIONALLICENCE 700 1- Grünbaum Branko University of Washington GN-50, 98195, Seattle, WA, USA aut NATIONALLICENCE 700 1- Shephard G. University of East Anglia, NR4 7TJ, Norwich, Norfolk, England aut NATIONALLICENCE 773 0- Discrete & Computational Geometry Springer New York 8/1(1992-07-01), 1-25 0179-5376 8:1<1 1992 8 454 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer