Tilings, coverings, clusters and quasicrystals

Authors
Lord, EA Ranganathan, S Kulkarni, UD
Citation
Ea. Lord et al., Tilings, coverings, clusters and quasicrystals, CURRENT SCI, 78(1), 2000, pp. 64-72
Citations number
29
Categorie Soggetti
Multidisciplinary,Multidisciplinary
Journal title
CURRENT SCIENCE
ISSN journal
00113891 → ACNP
Volume
78
Issue
1
Year of publication
2000
Pages
64 - 72
Database
ISI
SICI code
0011-3891(20000110)78:1<64:TCCAQ>2.0.ZU;2-X
Abstract
A quasiperiodic covering of the plane by regular decagons and an analogous structure in three dimensions are described. The 3D pattern consists of int erpenetrating triacontahedral clusters, related to the tau(3) inflation rul e for the 3D Penrose tiling patterns. The overlap regions are triacontahedr on faces, rhombic dodecahedra and rhombic icosahedra, The structure leads t o a plausible model for the T2 icosahedral quasicrystalline phases.