Isometric embedding of mosaics into cubic lattices

Isometric embedding of mosaics into cubic lattices
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马赛克等距嵌入立方晶格

DOI:
10.1016/s0012-365x(01)00074-7
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发表时间:
2002
期刊:
Discret. Math.
影响因子:
--
通讯作者:
M. Shtogrin
M. Shtogrin
中科院分区:
--
文献类型:
--
作者:
M. Deza;M. Shtogrin

文献摘要

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We review mosaics T (tilings of Euclidean plane by regular polygons) with respect to possible embedding, isometric up to a scale, of their skeletons or the skeletons of their duals T∗, into some cubic lattice Z n. The main result of this paper is the classification, given in Table 1, of all 58 such mosaics among all 165 mosaics of the catalog, given in Chavey (Comput. Math. Appl. 17 (1989) 147) and including all main classifications of mosaics.