Classification of Voronoi and Delone tiles of quasicrystals: II. Circular acceptance window of arbitrary size

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F03%3A00209854" target="_blank" >RIV/68407700:21340/03:00209854 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—

Result language
angličtina
Original language name
Classification of Voronoi and Delone tiles of quasicrystals: II. Circular acceptance window of arbitrary size
Original language description
In this paper we describe all the Voronoi and Delone tiles arising in tilings of point sets Sigma(Omega) ('quasicrystals') built by the standard projection of the root lattice of type A(4) onto a two-dimensional plane spanned by the roots of the Coxetergroup H-2 (dihedral group of order 10). The acceptance window Omega for Sigma(Omega) is a disc of any radius 0 < r < infinity. There are 22 distinct sets VTj (j = 1,..., 22) of Voronoi tiles and eight sets DTk (k = 1,..., 8) of Delone tiles, up to a uniform scaling by a factor tau(n) where tau = 1/2 (1 + root5) is the golden ratio and n is an element of Z.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Publication year
2003
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)