Autor:	Michel Mollard, Sylvain Gravier, Charles Payan
Rok vydání:	1999
Předmět:	Square tiling Combinatorics Tessellation Substitution tiling Metric (mathematics) Integer lattice Geometry and Topology Triangular tiling Rhombille tiling Hexagonal tiling Mathematics
Zdroj:	Geometriae Dedicata. 76:265-274
ISSN:	0046-5755
DOI:	10.1023/a:1005106901394
Popis:	We investigate tilings of the integer lattice in the Euclidean n-dimensional space. The tiles considered here are the union of spheres defined by the Manhattan metric. We give a necessary condition for the existence of such a tiling for Zn when n ≥ 2. We prove that this condition is sufficient when n=2. Finally, we give some tilings of Zn when n ≥ 3.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::12f63cf494c0e8ce59654b0da6865d1c https://doi.org/10.1023/a:1005106901394 Zobrazit plný text záznamu Full text from SpringerLink