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On tile-k-transitive tilings of the space

โœ Scribed by Elizaveta Zamorzaeva


Book ID
104646697
Publisher
Springer
Year
1996
Tongue
English
Weight
531 KB
Volume
59
Category
Article
ISSN
0046-5755

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โœฆ Synopsis


General methods for finding tile-k-transitive filings of the three-dimensional Euclidean space with polyhedral bodies are discussed. Analogous methods for enumerating k-isohedral filings of a two-dimensional plane of constant curvature have been obtained previously.


๐Ÿ“œ SIMILAR VOLUMES


On tilings of the binary vector space
โœ G. Cohen; P. Frankl ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 628 KB
On the K-theory of tiled orders
โœ M.E Keating ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 201 KB
On tilings of the plane
โœ Andreas W. M. Dress; Daniel Huson ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› Springer ๐ŸŒ English โš– 746 KB

The paper discusses homeomorphic types of (periodic) filings of the plane in terms of their associated Delaney symbol. Such a symbol consists of a (finite) set ~ on which three involutions ao,al and tr2 act from the right such that troa ~ = a2ao and there are two maps mol ,m12 :~ ~ ~ satisfying cert