caa a22 4500 469075406 CHVBK 20180323132933.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF02187830 doi (NATIONALLICENCE)springer-10.1007/BF02187830 Stehling Thomas Institut für Mathematik, Universität Dortmund, Postfach 500500, 4600, Dortmund, Federal Republic of Germany aut Ammann bars and quasicrystals [Elektronische Daten] [Thomas Stehling] In 1988 Danzer [3] constructed a family of four tetrahedra which allows—with certain matching conditions—only aperiodic tilings. By analogy with the Ammann bars of planar Penrose tilings we define Ammann bars in space in the form of planar Penrose tilings we define Ammann bars in space in the form of plane sections of the four tetrahedra. If we require that the plane sections continue as planes across the faces of the tilings, we obtain an alternative matching condition, thus answering a question of Danzer. Springer-Verlag New York Inc., 1992 Discrete & Computational Geometry Springer New York 7/2(1992-02-01), 125-133 0179-5376 7:2<125 1992 7 454 https://doi.org/10.1007/BF02187830 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02187830 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Stehling Thomas Institut für Mathematik, Universität Dortmund, Postfach 500500, 4600, Dortmund, Federal Republic of Germany aut NATIONALLICENCE 773 0- Discrete & Computational Geometry Springer New York 7/2(1992-02-01), 125-133 0179-5376 7:2<125 1992 7 454 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer