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n-Homeohedral types of tilings

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Abstract

For each n, there are only finitely many topological types of normal n-homeohedral tilings, and for every such type there is an n-isohedral representative which displays essentially the same symmetries.

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References

  1. Dress, A. W. M. and Huson, D., ‘On Tilings of the Plane’, Geom. Dedicata 24 (1987), 295–310.

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  2. Grünbaum, B. and Shephard, G. C. Tilings and Patterns, Freeman, New York, 1987.

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  3. Grünbaum, B., Löckenhoff, H. D., Shephard, G. C. and Temesvári, A. H., ‘The Enumeration of Normal 2-Homeohedral Tilings’, Geom. Dedicata 19 (1985), 109–174.

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  4. Schmitt, P., ‘n-Homeohedral Types of Tilings’ (Preliminary Version), 4 pp. Preprint, 1986.

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  1. Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090, Wien, Austria

    Peter Schmitt

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  1. Peter Schmitt
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Schmitt, P. n-Homeohedral types of tilings. Geom Dedicata 32, 319–327 (1989). https://doi.org/10.1007/BF00147924

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  • DOI: https://doi.org/10.1007/BF00147924

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